Merge branch 'development' into MiscImprovements
This commit is contained in:
Martin Diehl
commit
e932b386b9
2
PRIVATE
2
PRIVATE
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@ -1 +1 @@
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Subproject commit 2077cffcf72afd273751c85dfb77bf7c7f372575
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Subproject commit 64432754ce3c590c882cf4987695539cee524ee8
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@ -36,14 +36,14 @@
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#include "kinematics_cleavage_opening.f90"
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#include "kinematics_slipplane_opening.f90"
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#include "kinematics_thermal_expansion.f90"
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#include "plastic_none.f90"
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#include "plastic_isotropic.f90"
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#include "plastic_phenopowerlaw.f90"
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#include "plastic_kinematichardening.f90"
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#include "plastic_dislotwin.f90"
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#include "plastic_disloUCLA.f90"
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#include "plastic_nonlocal.f90"
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#include "constitutive.f90"
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#include "constitutive_plastic_none.f90"
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#include "constitutive_plastic_isotropic.f90"
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#include "constitutive_plastic_phenopowerlaw.f90"
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#include "constitutive_plastic_kinehardening.f90"
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#include "constitutive_plastic_dislotwin.f90"
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#include "constitutive_plastic_disloUCLA.f90"
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#include "constitutive_plastic_nonlocal.f90"
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#include "crystallite.f90"
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#include "thermal_isothermal.f90"
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#include "thermal_adiabatic.f90"
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@ -4,7 +4,9 @@
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!> @brief elasticity, plasticity, internal microstructure state
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!--------------------------------------------------------------------------------------------------
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module constitutive
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use prec
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use math
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use rotations
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use debug
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use numerics
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use IO
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@ -13,13 +15,6 @@ module constitutive
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use results
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use lattice
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use discretization
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use plastic_none
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use plastic_isotropic
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use plastic_phenopowerlaw
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use plastic_kinehardening
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use plastic_dislotwin
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use plastic_disloucla
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use plastic_nonlocal
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use geometry_plastic_nonlocal
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use source_thermal_dissipation
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use source_thermal_externalheat
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@ -38,7 +33,284 @@ module constitutive
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constitutive_plasticity_maxSizeDotState, &
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constitutive_source_maxSizeDotState
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interface
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module subroutine plastic_none_init
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end subroutine plastic_none_init
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module subroutine plastic_isotropic_init
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end subroutine plastic_isotropic_init
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module subroutine plastic_phenopowerlaw_init
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end subroutine plastic_phenopowerlaw_init
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module subroutine plastic_kinehardening_init
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end subroutine plastic_kinehardening_init
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module subroutine plastic_dislotwin_init
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end subroutine plastic_dislotwin_init
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module subroutine plastic_disloUCLA_init
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end subroutine plastic_disloUCLA_init
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module subroutine plastic_nonlocal_init
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end subroutine plastic_nonlocal_init
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module subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
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real(pReal), dimension(3,3), intent(out) :: &
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Lp !< plastic velocity gradient
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real(pReal), dimension(3,3,3,3), intent(out) :: &
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dLp_dMp !< derivative of Lp with respect to the Mandel stress
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real(pReal), dimension(3,3), intent(in) :: &
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Mp !< Mandel stress
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integer, intent(in) :: &
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instance, &
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of
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end subroutine plastic_isotropic_LpAndItsTangent
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pure module subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
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real(pReal), dimension(3,3), intent(out) :: &
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Lp !< plastic velocity gradient
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real(pReal), dimension(3,3,3,3), intent(out) :: &
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dLp_dMp !< derivative of Lp with respect to the Mandel stress
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real(pReal), dimension(3,3), intent(in) :: &
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Mp !< Mandel stress
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integer, intent(in) :: &
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instance, &
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of
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end subroutine plastic_phenopowerlaw_LpAndItsTangent
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pure module subroutine plastic_kinehardening_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
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real(pReal), dimension(3,3), intent(out) :: &
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Lp !< plastic velocity gradient
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real(pReal), dimension(3,3,3,3), intent(out) :: &
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dLp_dMp !< derivative of Lp with respect to the Mandel stress
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real(pReal), dimension(3,3), intent(in) :: &
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Mp !< Mandel stress
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integer, intent(in) :: &
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instance, &
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of
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end subroutine plastic_kinehardening_LpAndItsTangent
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module subroutine plastic_dislotwin_LpAndItsTangent(Lp,dLp_dMp,Mp,T,instance,of)
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real(pReal), dimension(3,3), intent(out) :: &
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Lp !< plastic velocity gradient
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real(pReal), dimension(3,3,3,3), intent(out) :: &
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dLp_dMp !< derivative of Lp with respect to the Mandel stress
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real(pReal), dimension(3,3), intent(in) :: &
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Mp !< Mandel stress
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real(pReal), intent(in) :: &
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T
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integer, intent(in) :: &
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instance, &
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of
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end subroutine plastic_dislotwin_LpAndItsTangent
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pure module subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dMp,Mp,T,instance,of)
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real(pReal), dimension(3,3), intent(out) :: &
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Lp !< plastic velocity gradient
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real(pReal), dimension(3,3,3,3), intent(out) :: &
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dLp_dMp !< derivative of Lp with respect to the Mandel stress
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real(pReal), dimension(3,3), intent(in) :: &
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Mp !< Mandel stress
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real(pReal), intent(in) :: &
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T
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integer, intent(in) :: &
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instance, &
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of
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end subroutine plastic_disloUCLA_LpAndItsTangent
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module subroutine plastic_nonlocal_LpAndItsTangent(Lp, dLp_dMp, &
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Mp, Temperature, volume, ip, el)
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real(pReal), dimension(3,3), intent(out) :: &
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Lp !< plastic velocity gradient
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real(pReal), dimension(3,3,3,3), intent(out) :: &
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dLp_dMp !< derivative of Lp with respect to the Mandel stress
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real(pReal), dimension(3,3), intent(in) :: &
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Mp !< Mandel stress
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real(pReal), intent(in) :: &
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Temperature, &
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volume
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integer, intent(in) :: &
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ip, & !< current integration point
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el !< current element number
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end subroutine plastic_nonlocal_LpAndItsTangent
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module subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dMi,Mi,instance,of)
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real(pReal), dimension(3,3), intent(out) :: &
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Li !< inleastic velocity gradient
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real(pReal), dimension(3,3,3,3), intent(out) :: &
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dLi_dMi !< derivative of Li with respect to Mandel stress
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real(pReal), dimension(3,3), intent(in) :: &
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Mi !< Mandel stress
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integer, intent(in) :: &
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instance, &
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of
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end subroutine plastic_isotropic_LiAndItsTangent
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module subroutine plastic_isotropic_dotState(Mp,instance,of)
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real(pReal), dimension(3,3), intent(in) :: &
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Mp !< Mandel stress
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integer, intent(in) :: &
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instance, &
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of
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end subroutine plastic_isotropic_dotState
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module subroutine plastic_phenopowerlaw_dotState(Mp,instance,of)
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real(pReal), dimension(3,3), intent(in) :: &
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Mp !< Mandel stress
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integer, intent(in) :: &
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instance, &
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of
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end subroutine plastic_phenopowerlaw_dotState
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module subroutine plastic_kinehardening_dotState(Mp,instance,of)
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real(pReal), dimension(3,3), intent(in) :: &
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Mp !< Mandel stress
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integer, intent(in) :: &
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instance, &
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of
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end subroutine plastic_kinehardening_dotState
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module subroutine plastic_dislotwin_dotState(Mp,T,instance,of)
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real(pReal), dimension(3,3), intent(in) :: &
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Mp !< Mandel stress
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real(pReal), intent(in) :: &
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T
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integer, intent(in) :: &
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instance, &
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of
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end subroutine plastic_dislotwin_dotState
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module subroutine plastic_disloUCLA_dotState(Mp,T,instance,of)
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real(pReal), dimension(3,3), intent(in) :: &
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Mp !< Mandel stress
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real(pReal), intent(in) :: &
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T
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integer, intent(in) :: &
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instance, &
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of
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end subroutine plastic_disloUCLA_dotState
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module subroutine plastic_nonlocal_dotState(Mp, Fe, Fp, Temperature, &
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timestep,ip,el)
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integer, intent(in) :: &
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ip, & !< current integration point
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el !< current element number
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real(pReal), intent(in) :: &
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Temperature, & !< temperature
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timestep !< substepped crystallite time increment
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real(pReal), dimension(3,3), intent(in) ::&
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Mp !< MandelStress
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real(pReal), dimension(3,3,homogenization_maxNgrains,discretization_nIP,discretization_nElem), intent(in) :: &
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Fe, & !< elastic deformation gradient
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Fp !< plastic deformation gradient
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end subroutine plastic_nonlocal_dotState
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module subroutine plastic_dislotwin_dependentState(T,instance,of)
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integer, intent(in) :: &
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instance, &
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of
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real(pReal), intent(in) :: &
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T
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end subroutine plastic_dislotwin_dependentState
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module subroutine plastic_disloUCLA_dependentState(instance,of)
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integer, intent(in) :: &
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instance, &
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of
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end subroutine plastic_disloUCLA_dependentState
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module subroutine plastic_nonlocal_dependentState(Fe, Fp, ip, el)
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integer, intent(in) :: &
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ip, &
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el
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real(pReal), dimension(3,3), intent(in) :: &
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Fe, &
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Fp
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end subroutine plastic_nonlocal_dependentState
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module subroutine plastic_kinehardening_deltaState(Mp,instance,of)
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real(pReal), dimension(3,3), intent(in) :: &
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Mp !< Mandel stress
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integer, intent(in) :: &
|
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instance, &
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of
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end subroutine plastic_kinehardening_deltaState
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module subroutine plastic_nonlocal_deltaState(Mp,ip,el)
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integer, intent(in) :: &
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ip, &
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el
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real(pReal), dimension(3,3), intent(in) :: &
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Mp
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end subroutine plastic_nonlocal_deltaState
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module function plastic_dislotwin_homogenizedC(ipc,ip,el) result(homogenizedC)
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real(pReal), dimension(6,6) :: &
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homogenizedC
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integer, intent(in) :: &
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ipc, & !< component-ID of integration point
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ip, & !< integration point
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el !< element
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end function plastic_dislotwin_homogenizedC
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module subroutine plastic_nonlocal_updateCompatibility(orientation,i,e)
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integer, intent(in) :: &
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i, &
|
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e
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type(rotation), dimension(1,discretization_nIP,discretization_nElem), intent(in) :: &
|
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orientation !< crystal orientation
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end subroutine plastic_nonlocal_updateCompatibility
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module subroutine plastic_isotropic_results(instance,group)
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integer, intent(in) :: instance
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character(len=*), intent(in) :: group
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end subroutine plastic_isotropic_results
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module subroutine plastic_phenopowerlaw_results(instance,group)
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integer, intent(in) :: instance
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character(len=*), intent(in) :: group
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end subroutine plastic_phenopowerlaw_results
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|
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module subroutine plastic_kinehardening_results(instance,group)
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integer, intent(in) :: instance
|
||||
character(len=*), intent(in) :: group
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end subroutine plastic_kinehardening_results
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||||
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module subroutine plastic_dislotwin_results(instance,group)
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integer, intent(in) :: instance
|
||||
character(len=*), intent(in) :: group
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||||
end subroutine plastic_dislotwin_results
|
||||
|
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module subroutine plastic_disloUCLA_results(instance,group)
|
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integer, intent(in) :: instance
|
||||
character(len=*), intent(in) :: group
|
||||
end subroutine plastic_disloUCLA_results
|
||||
|
||||
module subroutine plastic_nonlocal_results(instance,group)
|
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integer, intent(in) :: instance
|
||||
character(len=*), intent(in) :: group
|
||||
end subroutine plastic_nonlocal_results
|
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|
||||
end interface
|
||||
|
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public :: &
|
||||
plastic_nonlocal_updateCompatibility, &
|
||||
constitutive_init, &
|
||||
constitutive_homogenizedC, &
|
||||
constitutive_microstructure, &
|
||||
|
|
@ -180,7 +452,6 @@ end subroutine constitutive_microstructure
|
|||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine constitutive_LpAndItsTangents(Lp, dLp_dS, dLp_dFi, &
|
||||
S, Fi, ipc, ip, el)
|
||||
|
||||
integer, intent(in) :: &
|
||||
ipc, & !< component-ID of integration point
|
||||
ip, & !< integration point
|
||||
|
|
|
|||
|
|
@ -5,21 +5,9 @@
|
|||
!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
|
||||
!> @brief crystal plasticity model for bcc metals, especially Tungsten
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
module plastic_disloUCLA
|
||||
use prec
|
||||
use debug
|
||||
use math
|
||||
use IO
|
||||
use material
|
||||
use config
|
||||
use lattice
|
||||
use discretization
|
||||
use results
|
||||
submodule(constitutive) plastic_disloUCLA
|
||||
|
||||
implicit none
|
||||
private
|
||||
|
||||
real(pReal), parameter, private :: &
|
||||
real(pReal), parameter :: &
|
||||
kB = 1.38e-23_pReal !< Boltzmann constant in J/Kelvin
|
||||
|
||||
enum, bind(c)
|
||||
|
|
@ -33,7 +21,7 @@ module plastic_disloUCLA
|
|||
tau_pass_ID
|
||||
end enum
|
||||
|
||||
type, private :: tParameters
|
||||
type :: tParameters
|
||||
real(pReal) :: &
|
||||
aTol_rho, &
|
||||
D, & !< grain size
|
||||
|
|
@ -75,14 +63,14 @@ module plastic_disloUCLA
|
|||
dipoleFormation !< flag indicating consideration of dipole formation
|
||||
end type !< container type for internal constitutive parameters
|
||||
|
||||
type, private :: tDisloUCLAState
|
||||
type :: tDisloUCLAState
|
||||
real(pReal), dimension(:,:), pointer :: &
|
||||
rho_mob, &
|
||||
rho_dip, &
|
||||
gamma_sl
|
||||
end type tDisloUCLAState
|
||||
|
||||
type, private :: tDisloUCLAdependentState
|
||||
type :: tDisloUCLAdependentState
|
||||
real(pReal), dimension(:,:), allocatable :: &
|
||||
Lambda_sl, &
|
||||
threshold_stress
|
||||
|
|
@ -90,20 +78,11 @@ module plastic_disloUCLA
|
|||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! containers for parameters and state
|
||||
type(tParameters), allocatable, dimension(:), private :: param
|
||||
type(tDisloUCLAState), allocatable, dimension(:), private :: &
|
||||
type(tParameters), allocatable, dimension(:) :: param
|
||||
type(tDisloUCLAState), allocatable, dimension(:) :: &
|
||||
dotState, &
|
||||
state
|
||||
type(tDisloUCLAdependentState), allocatable, dimension(:), private :: dependentState
|
||||
|
||||
public :: &
|
||||
plastic_disloUCLA_init, &
|
||||
plastic_disloUCLA_dependentState, &
|
||||
plastic_disloUCLA_LpAndItsTangent, &
|
||||
plastic_disloUCLA_dotState, &
|
||||
plastic_disloUCLA_results
|
||||
private :: &
|
||||
kinetics
|
||||
type(tDisloUCLAdependentState), allocatable, dimension(:) :: dependentState
|
||||
|
||||
contains
|
||||
|
||||
|
|
@ -112,7 +91,7 @@ contains
|
|||
!> @brief module initialization
|
||||
!> @details reads in material parameters, allocates arrays, and does sanity checks
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_disloUCLA_init()
|
||||
module subroutine plastic_disloUCLA_init
|
||||
|
||||
integer :: &
|
||||
Ninstance, &
|
||||
|
|
@ -328,7 +307,7 @@ end subroutine plastic_disloUCLA_init
|
|||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates plastic velocity gradient and its tangent
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
pure subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dMp, &
|
||||
pure module subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dMp, &
|
||||
Mp,T,instance,of)
|
||||
real(pReal), dimension(3,3), intent(out) :: &
|
||||
Lp !< plastic velocity gradient
|
||||
|
|
@ -371,7 +350,7 @@ end subroutine plastic_disloUCLA_LpAndItsTangent
|
|||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates the rate of change of microstructure
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_disloUCLA_dotState(Mp,T,instance,of)
|
||||
module subroutine plastic_disloUCLA_dotState(Mp,T,instance,of)
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
|
|
@ -431,7 +410,7 @@ end subroutine plastic_disloUCLA_dotState
|
|||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates derived quantities from state
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_disloUCLA_dependentState(instance,of)
|
||||
module subroutine plastic_disloUCLA_dependentState(instance,of)
|
||||
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
|
|
@ -457,7 +436,7 @@ end subroutine plastic_disloUCLA_dependentState
|
|||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief writes results to HDF5 output file
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_disloUCLA_results(instance,group)
|
||||
module subroutine plastic_disloUCLA_results(instance,group)
|
||||
|
||||
integer, intent(in) :: instance
|
||||
character(len=*), intent(in) :: group
|
||||
|
|
@ -604,4 +583,4 @@ pure subroutine kinetics(Mp,T,instance,of, &
|
|||
|
||||
end subroutine kinetics
|
||||
|
||||
end module plastic_disloUCLA
|
||||
end submodule plastic_disloUCLA
|
||||
File diff suppressed because it is too large
Load Diff
|
|
@ -7,18 +7,7 @@
|
|||
!! resolving the stress on the slip systems. Will give the response of phenopowerlaw for an
|
||||
!! untextured polycrystal
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
module plastic_isotropic
|
||||
use prec
|
||||
use debug
|
||||
use math
|
||||
use IO
|
||||
use material
|
||||
use config
|
||||
use discretization
|
||||
use results
|
||||
|
||||
implicit none
|
||||
private
|
||||
submodule(constitutive) plastic_isotropic
|
||||
|
||||
enum, bind(c)
|
||||
enumerator :: &
|
||||
|
|
@ -64,20 +53,13 @@ module plastic_isotropic
|
|||
dotState, &
|
||||
state
|
||||
|
||||
public :: &
|
||||
plastic_isotropic_init, &
|
||||
plastic_isotropic_LpAndItsTangent, &
|
||||
plastic_isotropic_LiAndItsTangent, &
|
||||
plastic_isotropic_dotState, &
|
||||
plastic_isotropic_results
|
||||
|
||||
contains
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief module initialization
|
||||
!> @details reads in material parameters, allocates arrays, and does sanity checks
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_isotropic_init
|
||||
module subroutine plastic_isotropic_init
|
||||
|
||||
integer :: &
|
||||
Ninstance, &
|
||||
|
|
@ -207,7 +189,7 @@ end subroutine plastic_isotropic_init
|
|||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates plastic velocity gradient and its tangent
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
|
||||
module subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
|
||||
|
||||
real(pReal), dimension(3,3), intent(out) :: &
|
||||
Lp !< plastic velocity gradient
|
||||
|
|
@ -268,7 +250,7 @@ end subroutine plastic_isotropic_LpAndItsTangent
|
|||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates plastic velocity gradient and its tangent
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dMi,Mi,instance,of)
|
||||
module subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dMi,Mi,instance,of)
|
||||
|
||||
real(pReal), dimension(3,3), intent(out) :: &
|
||||
Li !< inleastic velocity gradient
|
||||
|
|
@ -320,7 +302,7 @@ subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dMi,Mi,instance,of)
|
|||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates the rate of change of microstructure
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_isotropic_dotState(Mp,instance,of)
|
||||
module subroutine plastic_isotropic_dotState(Mp,instance,of)
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
|
|
@ -369,7 +351,7 @@ end subroutine plastic_isotropic_dotState
|
|||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief writes results to HDF5 output file
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_isotropic_results(instance,group)
|
||||
module subroutine plastic_isotropic_results(instance,group)
|
||||
|
||||
integer, intent(in) :: instance
|
||||
character(len=*), intent(in) :: group
|
||||
|
|
@ -388,4 +370,4 @@ subroutine plastic_isotropic_results(instance,group)
|
|||
end subroutine plastic_isotropic_results
|
||||
|
||||
|
||||
end module plastic_isotropic
|
||||
end submodule plastic_isotropic
|
||||
|
|
@ -0,0 +1,522 @@
|
|||
!--------------------------------------------------------------------------------------------------
|
||||
!> @author Philip Eisenlohr, Michigan State University
|
||||
!> @author Zhuowen Zhao, Michigan State University
|
||||
!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
|
||||
!> @brief Phenomenological crystal plasticity using a power law formulation for the shear rates
|
||||
!! and a Voce-type kinematic hardening rule
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
submodule(constitutive) plastic_kinehardening
|
||||
|
||||
enum, bind(c)
|
||||
enumerator :: &
|
||||
undefined_ID, &
|
||||
crss_ID, & !< critical resolved stress
|
||||
crss_back_ID, & !< critical resolved back stress
|
||||
sense_ID, & !< sense of acting shear stress (-1 or +1)
|
||||
chi0_ID, & !< backstress at last switch of stress sense (positive?)
|
||||
gamma0_ID, & !< accumulated shear at last switch of stress sense (at current switch?)
|
||||
accshear_ID, &
|
||||
shearrate_ID, &
|
||||
resolvedstress_ID
|
||||
end enum
|
||||
|
||||
type :: tParameters
|
||||
real(pReal) :: &
|
||||
gdot0, & !< reference shear strain rate for slip
|
||||
n, & !< stress exponent for slip
|
||||
aTolResistance, &
|
||||
aTolShear
|
||||
real(pReal), allocatable, dimension(:) :: &
|
||||
crss0, & !< initial critical shear stress for slip
|
||||
theta0, & !< initial hardening rate of forward stress for each slip
|
||||
theta1, & !< asymptotic hardening rate of forward stress for each slip
|
||||
theta0_b, & !< initial hardening rate of back stress for each slip
|
||||
theta1_b, & !< asymptotic hardening rate of back stress for each slip
|
||||
tau1, &
|
||||
tau1_b, &
|
||||
nonSchmidCoeff
|
||||
real(pReal), allocatable, dimension(:,:) :: &
|
||||
interaction_slipslip !< slip resistance from slip activity
|
||||
real(pReal), allocatable, dimension(:,:,:) :: &
|
||||
Schmid, &
|
||||
nonSchmid_pos, &
|
||||
nonSchmid_neg
|
||||
integer :: &
|
||||
totalNslip, & !< total number of active slip system
|
||||
of_debug = 0
|
||||
integer, allocatable, dimension(:) :: &
|
||||
Nslip !< number of active slip systems for each family
|
||||
integer(kind(undefined_ID)), allocatable, dimension(:) :: &
|
||||
outputID !< ID of each post result output
|
||||
end type tParameters
|
||||
|
||||
type :: tKinehardeningState
|
||||
real(pReal), pointer, dimension(:,:) :: & !< vectors along NipcMyInstance
|
||||
crss, & !< critical resolved stress
|
||||
crss_back, & !< critical resolved back stress
|
||||
sense, & !< sense of acting shear stress (-1 or +1)
|
||||
chi0, & !< backstress at last switch of stress sense
|
||||
gamma0, & !< accumulated shear at last switch of stress sense
|
||||
accshear !< accumulated (absolute) shear
|
||||
end type tKinehardeningState
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! containers for parameters and state
|
||||
type(tParameters), allocatable, dimension(:) :: param
|
||||
type(tKinehardeningState), allocatable, dimension(:) :: &
|
||||
dotState, &
|
||||
deltaState, &
|
||||
state
|
||||
|
||||
contains
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief module initialization
|
||||
!> @details reads in material parameters, allocates arrays, and does sanity checks
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
module subroutine plastic_kinehardening_init
|
||||
|
||||
integer :: &
|
||||
Ninstance, &
|
||||
p, i, o, &
|
||||
NipcMyPhase, &
|
||||
sizeState, sizeDeltaState, sizeDotState, &
|
||||
startIndex, endIndex
|
||||
|
||||
integer(kind(undefined_ID)) :: &
|
||||
outputID
|
||||
|
||||
character(len=pStringLen) :: &
|
||||
extmsg = ''
|
||||
character(len=pStringLen), dimension(:), allocatable :: &
|
||||
outputs
|
||||
|
||||
write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_KINEHARDENING_label//' init -+>>>'
|
||||
|
||||
Ninstance = count(phase_plasticity == PLASTICITY_KINEHARDENING_ID)
|
||||
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) &
|
||||
write(6,'(a16,1x,i5,/)') '# instances:',Ninstance
|
||||
|
||||
allocate(param(Ninstance))
|
||||
allocate(state(Ninstance))
|
||||
allocate(dotState(Ninstance))
|
||||
allocate(deltaState(Ninstance))
|
||||
|
||||
do p = 1, size(phase_plasticityInstance)
|
||||
if (phase_plasticity(p) /= PLASTICITY_KINEHARDENING_ID) cycle
|
||||
associate(prm => param(phase_plasticityInstance(p)), &
|
||||
dot => dotState(phase_plasticityInstance(p)), &
|
||||
dlt => deltaState(phase_plasticityInstance(p)), &
|
||||
stt => state(phase_plasticityInstance(p)),&
|
||||
config => config_phase(p))
|
||||
|
||||
#ifdef DEBUG
|
||||
if (p==material_phaseAt(debug_g,debug_e)) then
|
||||
prm%of_debug = material_phasememberAt(debug_g,debug_i,debug_e)
|
||||
endif
|
||||
#endif
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! optional parameters that need to be defined
|
||||
prm%aTolResistance = config%getFloat('atol_resistance',defaultVal=1.0_pReal)
|
||||
prm%aTolShear = config%getFloat('atol_shear', defaultVal=1.0e-6_pReal)
|
||||
|
||||
! sanity checks
|
||||
if (prm%aTolResistance <= 0.0_pReal) extmsg = trim(extmsg)//' aTolresistance'
|
||||
if (prm%aTolShear <= 0.0_pReal) extmsg = trim(extmsg)//' aTolShear'
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! slip related parameters
|
||||
prm%Nslip = config%getInts('nslip',defaultVal=emptyIntArray)
|
||||
prm%totalNslip = sum(prm%Nslip)
|
||||
slipActive: if (prm%totalNslip > 0) then
|
||||
prm%Schmid = lattice_SchmidMatrix_slip(prm%Nslip,config%getString('lattice_structure'),&
|
||||
config%getFloat('c/a',defaultVal=0.0_pReal))
|
||||
|
||||
if(trim(config%getString('lattice_structure')) == 'bcc') then
|
||||
prm%nonSchmidCoeff = config%getFloats('nonschmid_coefficients',&
|
||||
defaultVal = emptyRealArray)
|
||||
prm%nonSchmid_pos = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,+1)
|
||||
prm%nonSchmid_neg = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,-1)
|
||||
else
|
||||
prm%nonSchmid_pos = prm%Schmid
|
||||
prm%nonSchmid_neg = prm%Schmid
|
||||
endif
|
||||
prm%interaction_SlipSlip = lattice_interaction_SlipBySlip(prm%Nslip, &
|
||||
config%getFloats('interaction_slipslip'), &
|
||||
config%getString('lattice_structure'))
|
||||
|
||||
prm%crss0 = config%getFloats('crss0', requiredSize=size(prm%Nslip))
|
||||
prm%tau1 = config%getFloats('tau1', requiredSize=size(prm%Nslip))
|
||||
prm%tau1_b = config%getFloats('tau1_b', requiredSize=size(prm%Nslip))
|
||||
prm%theta0 = config%getFloats('theta0', requiredSize=size(prm%Nslip))
|
||||
prm%theta1 = config%getFloats('theta1', requiredSize=size(prm%Nslip))
|
||||
prm%theta0_b = config%getFloats('theta0_b', requiredSize=size(prm%Nslip))
|
||||
prm%theta1_b = config%getFloats('theta1_b', requiredSize=size(prm%Nslip))
|
||||
|
||||
prm%gdot0 = config%getFloat('gdot0')
|
||||
prm%n = config%getFloat('n_slip')
|
||||
|
||||
! expand: family => system
|
||||
prm%crss0 = math_expand(prm%crss0, prm%Nslip)
|
||||
prm%tau1 = math_expand(prm%tau1, prm%Nslip)
|
||||
prm%tau1_b = math_expand(prm%tau1_b, prm%Nslip)
|
||||
prm%theta0 = math_expand(prm%theta0, prm%Nslip)
|
||||
prm%theta1 = math_expand(prm%theta1, prm%Nslip)
|
||||
prm%theta0_b = math_expand(prm%theta0_b,prm%Nslip)
|
||||
prm%theta1_b = math_expand(prm%theta1_b,prm%Nslip)
|
||||
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! sanity checks
|
||||
if ( prm%gdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0'
|
||||
if ( prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' n_slip'
|
||||
if (any(prm%crss0 <= 0.0_pReal)) extmsg = trim(extmsg)//' crss0'
|
||||
if (any(prm%tau1 <= 0.0_pReal)) extmsg = trim(extmsg)//' tau1'
|
||||
if (any(prm%tau1_b <= 0.0_pReal)) extmsg = trim(extmsg)//' tau1_b'
|
||||
|
||||
!ToDo: Any sensible checks for theta?
|
||||
|
||||
endif slipActive
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! exit if any parameter is out of range
|
||||
if (extmsg /= '') &
|
||||
call IO_error(211,ext_msg=trim(extmsg)//'('//PLASTICITY_KINEHARDENING_label//')')
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! output pararameters
|
||||
outputs = config%getStrings('(output)',defaultVal=emptyStringArray)
|
||||
allocate(prm%outputID(0))
|
||||
do i=1, size(outputs)
|
||||
outputID = undefined_ID
|
||||
select case(outputs(i))
|
||||
|
||||
case ('resistance')
|
||||
outputID = merge(crss_ID,undefined_ID,prm%totalNslip>0)
|
||||
case ('accumulatedshear')
|
||||
outputID = merge(accshear_ID,undefined_ID,prm%totalNslip>0)
|
||||
case ('shearrate')
|
||||
outputID = merge(shearrate_ID,undefined_ID,prm%totalNslip>0)
|
||||
case ('resolvedstress')
|
||||
outputID = merge(resolvedstress_ID,undefined_ID,prm%totalNslip>0)
|
||||
case ('backstress')
|
||||
outputID = merge(crss_back_ID,undefined_ID,prm%totalNslip>0)
|
||||
case ('sense')
|
||||
outputID = merge(sense_ID,undefined_ID,prm%totalNslip>0)
|
||||
case ('chi0')
|
||||
outputID = merge(chi0_ID,undefined_ID,prm%totalNslip>0)
|
||||
case ('gamma0')
|
||||
outputID = merge(gamma0_ID,undefined_ID,prm%totalNslip>0)
|
||||
|
||||
end select
|
||||
|
||||
if (outputID /= undefined_ID) then
|
||||
prm%outputID = [prm%outputID , outputID]
|
||||
endif
|
||||
|
||||
enddo
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! allocate state arrays
|
||||
NipcMyPhase = count(material_phaseAt == p) * discretization_nIP
|
||||
sizeDotState = size(['crss ','crss_back', 'accshear ']) * prm%totalNslip
|
||||
sizeDeltaState = size(['sense ', 'chi0 ', 'gamma0' ]) * prm%totalNslip
|
||||
sizeState = sizeDotState + sizeDeltaState
|
||||
|
||||
call material_allocatePlasticState(p,NipcMyPhase,sizeState,sizeDotState,sizeDeltaState)
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! locally defined state aliases and initialization of state0 and aTolState
|
||||
startIndex = 1
|
||||
endIndex = prm%totalNslip
|
||||
stt%crss => plasticState(p)%state (startIndex:endIndex,:)
|
||||
stt%crss = spread(prm%crss0, 2, NipcMyPhase)
|
||||
dot%crss => plasticState(p)%dotState(startIndex:endIndex,:)
|
||||
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
|
||||
|
||||
startIndex = endIndex + 1
|
||||
endIndex = endIndex + prm%totalNslip
|
||||
stt%crss_back => plasticState(p)%state (startIndex:endIndex,:)
|
||||
dot%crss_back => plasticState(p)%dotState(startIndex:endIndex,:)
|
||||
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
|
||||
|
||||
startIndex = endIndex + 1
|
||||
endIndex = endIndex + prm%totalNslip
|
||||
stt%accshear => plasticState(p)%state (startIndex:endIndex,:)
|
||||
dot%accshear => plasticState(p)%dotState(startIndex:endIndex,:)
|
||||
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolShear
|
||||
! global alias
|
||||
plasticState(p)%slipRate => plasticState(p)%dotState(startIndex:endIndex,:)
|
||||
plasticState(p)%accumulatedSlip => plasticState(p)%state(startIndex:endIndex,:)
|
||||
|
||||
o = plasticState(p)%offsetDeltaState
|
||||
startIndex = endIndex + 1
|
||||
endIndex = endIndex + prm%totalNslip
|
||||
stt%sense => plasticState(p)%state (startIndex :endIndex ,:)
|
||||
dlt%sense => plasticState(p)%deltaState(startIndex-o:endIndex-o,:)
|
||||
|
||||
startIndex = endIndex + 1
|
||||
endIndex = endIndex + prm%totalNslip
|
||||
stt%chi0 => plasticState(p)%state (startIndex :endIndex ,:)
|
||||
dlt%chi0 => plasticState(p)%deltaState(startIndex-o:endIndex-o,:)
|
||||
|
||||
startIndex = endIndex + 1
|
||||
endIndex = endIndex + prm%totalNslip
|
||||
stt%gamma0 => plasticState(p)%state (startIndex :endIndex ,:)
|
||||
dlt%gamma0 => plasticState(p)%deltaState(startIndex-o:endIndex-o,:)
|
||||
|
||||
plasticState(p)%state0 = plasticState(p)%state ! ToDo: this could be done centrally
|
||||
|
||||
end associate
|
||||
|
||||
enddo
|
||||
|
||||
end subroutine plastic_kinehardening_init
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates plastic velocity gradient and its tangent
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
pure module subroutine plastic_kinehardening_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
|
||||
|
||||
real(pReal), dimension(3,3), intent(out) :: &
|
||||
Lp !< plastic velocity gradient
|
||||
real(pReal), dimension(3,3,3,3), intent(out) :: &
|
||||
dLp_dMp !< derivative of Lp with respect to the Mandel stress
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
integer :: &
|
||||
i,k,l,m,n
|
||||
real(pReal), dimension(param(instance)%totalNslip) :: &
|
||||
gdot_pos,gdot_neg, &
|
||||
dgdot_dtau_pos,dgdot_dtau_neg
|
||||
|
||||
Lp = 0.0_pReal
|
||||
dLp_dMp = 0.0_pReal
|
||||
|
||||
associate(prm => param(instance))
|
||||
|
||||
call kinetics(Mp,instance,of,gdot_pos,gdot_neg,dgdot_dtau_pos,dgdot_dtau_neg)
|
||||
|
||||
do i = 1, prm%totalNslip
|
||||
Lp = Lp + (gdot_pos(i)+gdot_neg(i))*prm%Schmid(1:3,1:3,i)
|
||||
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
|
||||
dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) &
|
||||
+ dgdot_dtau_pos(i) * prm%Schmid(k,l,i) * prm%nonSchmid_pos(m,n,i) &
|
||||
+ dgdot_dtau_neg(i) * prm%Schmid(k,l,i) * prm%nonSchmid_neg(m,n,i)
|
||||
enddo
|
||||
|
||||
end associate
|
||||
|
||||
end subroutine plastic_kinehardening_LpAndItsTangent
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates the rate of change of microstructure
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
module subroutine plastic_kinehardening_dotState(Mp,instance,of)
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
real(pReal) :: &
|
||||
sumGamma
|
||||
real(pReal), dimension(param(instance)%totalNslip) :: &
|
||||
gdot_pos,gdot_neg
|
||||
|
||||
|
||||
associate(prm => param(instance), stt => state(instance), dot => dotState(instance))
|
||||
|
||||
call kinetics(Mp,instance,of,gdot_pos,gdot_neg)
|
||||
dot%accshear(:,of) = abs(gdot_pos+gdot_neg)
|
||||
sumGamma = sum(stt%accshear(:,of))
|
||||
|
||||
|
||||
dot%crss(:,of) = matmul(prm%interaction_SlipSlip,dot%accshear(:,of)) &
|
||||
* ( prm%theta1 &
|
||||
+ (prm%theta0 - prm%theta1 + prm%theta0*prm%theta1*sumGamma/prm%tau1) &
|
||||
* exp(-sumGamma*prm%theta0/prm%tau1) &
|
||||
)
|
||||
|
||||
dot%crss_back(:,of) = stt%sense(:,of)*dot%accshear(:,of) * &
|
||||
( prm%theta1_b + &
|
||||
(prm%theta0_b - prm%theta1_b &
|
||||
+ prm%theta0_b*prm%theta1_b/(prm%tau1_b+stt%chi0(:,of))*(stt%accshear(:,of)-stt%gamma0(:,of))&
|
||||
) *exp(-(stt%accshear(:,of)-stt%gamma0(:,of)) *prm%theta0_b/(prm%tau1_b+stt%chi0(:,of))) &
|
||||
)
|
||||
|
||||
end associate
|
||||
|
||||
end subroutine plastic_kinehardening_dotState
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates (instantaneous) incremental change of microstructure
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
module subroutine plastic_kinehardening_deltaState(Mp,instance,of)
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
real(pReal), dimension(param(instance)%totalNslip) :: &
|
||||
gdot_pos,gdot_neg, &
|
||||
sense
|
||||
|
||||
associate(prm => param(instance), stt => state(instance), dlt => deltaState(instance))
|
||||
|
||||
call kinetics(Mp,instance,of,gdot_pos,gdot_neg)
|
||||
sense = merge(state(instance)%sense(:,of), & ! keep existing...
|
||||
sign(1.0_pReal,gdot_pos+gdot_neg), & ! ...or have a defined
|
||||
dEq0(gdot_pos+gdot_neg,1e-10_pReal)) ! current sense of shear direction
|
||||
|
||||
#ifdef DEBUG
|
||||
if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0 &
|
||||
.and. (of == prm%of_debug &
|
||||
.or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0)) then
|
||||
write(6,'(a)') '======= kinehardening delta state ======='
|
||||
write(6,*) sense,state(instance)%sense(:,of)
|
||||
endif
|
||||
#endif
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! switch in sense of shear?
|
||||
where(dNeq(sense,stt%sense(:,of),0.1_pReal))
|
||||
dlt%sense (:,of) = sense - stt%sense(:,of) ! switch sense
|
||||
dlt%chi0 (:,of) = abs(stt%crss_back(:,of)) - stt%chi0(:,of) ! remember current backstress magnitude
|
||||
dlt%gamma0(:,of) = stt%accshear(:,of) - stt%gamma0(:,of) ! remember current accumulated shear
|
||||
else where
|
||||
dlt%sense (:,of) = 0.0_pReal
|
||||
dlt%chi0 (:,of) = 0.0_pReal
|
||||
dlt%gamma0(:,of) = 0.0_pReal
|
||||
end where
|
||||
|
||||
end associate
|
||||
|
||||
end subroutine plastic_kinehardening_deltaState
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief writes results to HDF5 output file
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
module subroutine plastic_kinehardening_results(instance,group)
|
||||
|
||||
integer, intent(in) :: instance
|
||||
character(len=*), intent(in) :: group
|
||||
integer :: o
|
||||
|
||||
associate(prm => param(instance), stt => state(instance))
|
||||
outputsLoop: do o = 1,size(prm%outputID)
|
||||
select case(prm%outputID(o))
|
||||
case (crss_ID)
|
||||
call results_writeDataset(group,stt%crss,'xi_sl', &
|
||||
'resistance against plastic slip','Pa')
|
||||
|
||||
case(crss_back_ID)
|
||||
call results_writeDataset(group,stt%crss_back,'tau_back', &
|
||||
'back stress against plastic slip','Pa')
|
||||
|
||||
case (sense_ID)
|
||||
call results_writeDataset(group,stt%sense,'sense_of_shear','tbd','1')
|
||||
|
||||
case (chi0_ID)
|
||||
call results_writeDataset(group,stt%chi0,'chi0','tbd','Pa')
|
||||
|
||||
case (gamma0_ID)
|
||||
call results_writeDataset(group,stt%gamma0,'gamma0','tbd','1')
|
||||
|
||||
case (accshear_ID)
|
||||
call results_writeDataset(group,stt%accshear,'gamma_sl', &
|
||||
'plastic shear','1')
|
||||
|
||||
end select
|
||||
enddo outputsLoop
|
||||
end associate
|
||||
|
||||
end subroutine plastic_kinehardening_results
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates shear rates on slip systems and derivatives with respect to resolved stress
|
||||
!> @details: Shear rates are calculated only optionally.
|
||||
! NOTE: Against the common convention, the result (i.e. intent(out)) variables are the last to
|
||||
! have the optional arguments at the end
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
pure subroutine kinetics(Mp,instance,of, &
|
||||
gdot_pos,gdot_neg,dgdot_dtau_pos,dgdot_dtau_neg)
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
real(pReal), intent(out), dimension(param(instance)%totalNslip) :: &
|
||||
gdot_pos, &
|
||||
gdot_neg
|
||||
real(pReal), intent(out), optional, dimension(param(instance)%totalNslip) :: &
|
||||
dgdot_dtau_pos, &
|
||||
dgdot_dtau_neg
|
||||
|
||||
real(pReal), dimension(param(instance)%totalNslip) :: &
|
||||
tau_pos, &
|
||||
tau_neg
|
||||
integer :: i
|
||||
logical :: nonSchmidActive
|
||||
|
||||
associate(prm => param(instance), stt => state(instance))
|
||||
|
||||
nonSchmidActive = size(prm%nonSchmidCoeff) > 0
|
||||
|
||||
do i = 1, prm%totalNslip
|
||||
tau_pos(i) = math_mul33xx33(Mp,prm%nonSchmid_pos(1:3,1:3,i)) - stt%crss_back(i,of)
|
||||
tau_neg(i) = merge(math_mul33xx33(Mp,prm%nonSchmid_neg(1:3,1:3,i)) - stt%crss_back(i,of), &
|
||||
0.0_pReal, nonSchmidActive)
|
||||
enddo
|
||||
|
||||
where(dNeq0(tau_pos))
|
||||
gdot_pos = prm%gdot0 * merge(0.5_pReal,1.0_pReal, nonSchmidActive) & ! 1/2 if non-Schmid active
|
||||
* sign(abs(tau_pos/stt%crss(:,of))**prm%n, tau_pos)
|
||||
else where
|
||||
gdot_pos = 0.0_pReal
|
||||
end where
|
||||
|
||||
where(dNeq0(tau_neg))
|
||||
gdot_neg = prm%gdot0 * 0.5_pReal & ! only used if non-Schmid active, always 1/2
|
||||
* sign(abs(tau_neg/stt%crss(:,of))**prm%n, tau_neg)
|
||||
else where
|
||||
gdot_neg = 0.0_pReal
|
||||
end where
|
||||
|
||||
if (present(dgdot_dtau_pos)) then
|
||||
where(dNeq0(gdot_pos))
|
||||
dgdot_dtau_pos = gdot_pos*prm%n/tau_pos
|
||||
else where
|
||||
dgdot_dtau_pos = 0.0_pReal
|
||||
end where
|
||||
endif
|
||||
if (present(dgdot_dtau_neg)) then
|
||||
where(dNeq0(gdot_neg))
|
||||
dgdot_dtau_neg = gdot_neg*prm%n/tau_neg
|
||||
else where
|
||||
dgdot_dtau_neg = 0.0_pReal
|
||||
end where
|
||||
endif
|
||||
end associate
|
||||
|
||||
end subroutine kinetics
|
||||
|
||||
end submodule plastic_kinehardening
|
||||
|
|
@ -4,16 +4,7 @@
|
|||
!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
|
||||
!> @brief Dummy plasticity for purely elastic material
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
module plastic_none
|
||||
use material
|
||||
use discretization
|
||||
use debug
|
||||
|
||||
implicit none
|
||||
private
|
||||
|
||||
public :: &
|
||||
plastic_none_init
|
||||
submodule(constitutive) plastic_none
|
||||
|
||||
contains
|
||||
|
||||
|
|
@ -21,7 +12,7 @@ contains
|
|||
!> @brief module initialization
|
||||
!> @details reads in material parameters, allocates arrays, and does sanity checks
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_none_init
|
||||
module subroutine plastic_none_init
|
||||
|
||||
integer :: &
|
||||
Ninstance, &
|
||||
|
|
@ -44,4 +35,4 @@ subroutine plastic_none_init
|
|||
|
||||
end subroutine plastic_none_init
|
||||
|
||||
end module plastic_none
|
||||
end submodule plastic_none
|
||||
|
|
@ -4,18 +4,7 @@
|
|||
!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
|
||||
!> @brief material subroutine for plasticity including dislocation flux
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
module plastic_nonlocal
|
||||
use prec
|
||||
use IO
|
||||
use math
|
||||
use debug
|
||||
use material
|
||||
use lattice
|
||||
use rotations
|
||||
use results
|
||||
use config
|
||||
use lattice
|
||||
use discretization
|
||||
submodule(constitutive) plastic_nonlocal
|
||||
use geometry_plastic_nonlocal, only: &
|
||||
nIPneighbors => geometry_plastic_nonlocal_nIPneighbors, &
|
||||
IPneighborhood => geometry_plastic_nonlocal_IPneighborhood, &
|
||||
|
|
@ -23,8 +12,6 @@ module plastic_nonlocal
|
|||
IParea => geometry_plastic_nonlocal_IParea0, &
|
||||
IPareaNormal => geometry_plastic_nonlocal_IPareaNormal0
|
||||
|
||||
implicit none
|
||||
private
|
||||
real(pReal), parameter :: &
|
||||
KB = 1.38e-23_pReal !< Physical parameter, Boltzmann constant in J/Kelvin
|
||||
|
||||
|
|
@ -199,25 +186,13 @@ module plastic_nonlocal
|
|||
|
||||
type(tNonlocalMicrostructure), dimension(:), allocatable :: microstructure
|
||||
|
||||
public :: &
|
||||
plastic_nonlocal_init, &
|
||||
plastic_nonlocal_dependentState, &
|
||||
plastic_nonlocal_LpAndItsTangent, &
|
||||
plastic_nonlocal_dotState, &
|
||||
plastic_nonlocal_deltaState, &
|
||||
plastic_nonlocal_updateCompatibility, &
|
||||
plastic_nonlocal_results
|
||||
|
||||
private :: &
|
||||
plastic_nonlocal_kinetics
|
||||
|
||||
contains
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief module initialization
|
||||
!> @details reads in material parameters, allocates arrays, and does sanity checks
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_nonlocal_init
|
||||
module subroutine plastic_nonlocal_init
|
||||
|
||||
integer :: &
|
||||
sizeState, sizeDotState,sizeDependentState, sizeDeltaState, &
|
||||
|
|
@ -254,7 +229,6 @@ subroutine plastic_nonlocal_init
|
|||
allocate(dotState(maxNinstances))
|
||||
allocate(deltaState(maxNinstances))
|
||||
allocate(microstructure(maxNinstances))
|
||||
|
||||
allocate(totalNslip(maxNinstances), source=0)
|
||||
|
||||
|
||||
|
|
@ -738,7 +712,7 @@ end subroutine plastic_nonlocal_init
|
|||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates quantities characterizing the microstructure
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_nonlocal_dependentState(Fe, Fp, ip, el)
|
||||
module subroutine plastic_nonlocal_dependentState(Fe, Fp, ip, el)
|
||||
|
||||
integer, intent(in) :: &
|
||||
ip, &
|
||||
|
|
@ -1100,7 +1074,7 @@ end subroutine plastic_nonlocal_kinetics
|
|||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates plastic velocity gradient and its tangent
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_nonlocal_LpAndItsTangent(Lp, dLp_dMp, &
|
||||
module subroutine plastic_nonlocal_LpAndItsTangent(Lp, dLp_dMp, &
|
||||
Mp, Temperature, volume, ip, el)
|
||||
|
||||
integer, intent(in) :: &
|
||||
|
|
@ -1230,7 +1204,7 @@ end subroutine plastic_nonlocal_LpAndItsTangent
|
|||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief (instantaneous) incremental change of microstructure
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_nonlocal_deltaState(Mp,ip,el)
|
||||
module subroutine plastic_nonlocal_deltaState(Mp,ip,el)
|
||||
|
||||
integer, intent(in) :: &
|
||||
ip, &
|
||||
|
|
@ -1346,7 +1320,7 @@ end subroutine plastic_nonlocal_deltaState
|
|||
!---------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates the rate of change of microstructure
|
||||
!---------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_nonlocal_dotState(Mp, Fe, Fp, Temperature, &
|
||||
module subroutine plastic_nonlocal_dotState(Mp, Fe, Fp, Temperature, &
|
||||
timestep,ip,el)
|
||||
|
||||
integer, intent(in) :: &
|
||||
|
|
@ -1795,13 +1769,13 @@ end subroutine plastic_nonlocal_dotState
|
|||
! plane normals and signed cosine of the angle between the slip directions. Only the largest values
|
||||
! that sum up to a total of 1 are considered, all others are set to zero.
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_nonlocal_updateCompatibility(orientation,i,e)
|
||||
module subroutine plastic_nonlocal_updateCompatibility(orientation,i,e)
|
||||
|
||||
integer, intent(in) :: &
|
||||
i, &
|
||||
e
|
||||
type(rotation), dimension(1,discretization_nIP,discretization_nElem), intent(in) :: &
|
||||
orientation ! crystal orientation in quaternions
|
||||
orientation ! crystal orientation
|
||||
|
||||
integer :: &
|
||||
Nneighbors, & ! number of neighbors
|
||||
|
|
@ -1960,10 +1934,10 @@ end function getRho
|
|||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief writes results to HDF5 output file
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_nonlocal_results(instance,group)
|
||||
module subroutine plastic_nonlocal_results(instance,group)
|
||||
|
||||
integer, intent(in) :: instance
|
||||
character(len=*) :: group
|
||||
character(len=*),intent(in) :: group
|
||||
integer :: o
|
||||
|
||||
associate(prm => param(instance),dst => microstructure(instance),stt=>state(instance))
|
||||
|
|
@ -2026,4 +2000,4 @@ subroutine plastic_nonlocal_results(instance,group)
|
|||
|
||||
end subroutine plastic_nonlocal_results
|
||||
|
||||
end module plastic_nonlocal
|
||||
end submodule plastic_nonlocal
|
||||
|
|
@ -0,0 +1,596 @@
|
|||
!--------------------------------------------------------------------------------------------------
|
||||
!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH
|
||||
!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
|
||||
!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
|
||||
!> @brief phenomenological crystal plasticity formulation using a powerlaw fitting
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
submodule(constitutive) plastic_phenopowerlaw
|
||||
|
||||
enum, bind(c)
|
||||
enumerator :: &
|
||||
undefined_ID, &
|
||||
resistance_slip_ID, &
|
||||
accumulatedshear_slip_ID, &
|
||||
shearrate_slip_ID, &
|
||||
resolvedstress_slip_ID, &
|
||||
resistance_twin_ID, &
|
||||
accumulatedshear_twin_ID, &
|
||||
shearrate_twin_ID, &
|
||||
resolvedstress_twin_ID
|
||||
end enum
|
||||
|
||||
type :: tParameters
|
||||
real(pReal) :: &
|
||||
gdot0_slip, & !< reference shear strain rate for slip
|
||||
gdot0_twin, & !< reference shear strain rate for twin
|
||||
n_slip, & !< stress exponent for slip
|
||||
n_twin, & !< stress exponent for twin
|
||||
spr, & !< push-up factor for slip saturation due to twinning
|
||||
c_1, &
|
||||
c_2, &
|
||||
c_3, &
|
||||
c_4, &
|
||||
h0_SlipSlip, & !< reference hardening slip - slip
|
||||
h0_TwinSlip, & !< reference hardening twin - slip
|
||||
h0_TwinTwin, & !< reference hardening twin - twin
|
||||
a_slip, &
|
||||
aTolResistance, & !< absolute tolerance for integration of xi
|
||||
aTolShear, & !< absolute tolerance for integration of gamma
|
||||
aTolTwinfrac !< absolute tolerance for integration of f
|
||||
real(pReal), allocatable, dimension(:) :: &
|
||||
xi_slip_0, & !< initial critical shear stress for slip
|
||||
xi_twin_0, & !< initial critical shear stress for twin
|
||||
xi_slip_sat, & !< maximum critical shear stress for slip
|
||||
nonSchmidCoeff, &
|
||||
H_int, & !< per family hardening activity (optional)
|
||||
gamma_twin_char !< characteristic shear for twins
|
||||
real(pReal), allocatable, dimension(:,:) :: &
|
||||
interaction_SlipSlip, & !< slip resistance from slip activity
|
||||
interaction_SlipTwin, & !< slip resistance from twin activity
|
||||
interaction_TwinSlip, & !< twin resistance from slip activity
|
||||
interaction_TwinTwin !< twin resistance from twin activity
|
||||
real(pReal), allocatable, dimension(:,:,:) :: &
|
||||
Schmid_slip, &
|
||||
Schmid_twin, &
|
||||
nonSchmid_pos, &
|
||||
nonSchmid_neg
|
||||
integer :: &
|
||||
totalNslip, & !< total number of active slip system
|
||||
totalNtwin !< total number of active twin systems
|
||||
integer, allocatable, dimension(:) :: &
|
||||
Nslip, & !< number of active slip systems for each family
|
||||
Ntwin !< number of active twin systems for each family
|
||||
integer(kind(undefined_ID)), allocatable, dimension(:) :: &
|
||||
outputID !< ID of each post result output
|
||||
end type tParameters
|
||||
|
||||
type :: tPhenopowerlawState
|
||||
real(pReal), pointer, dimension(:,:) :: &
|
||||
xi_slip, &
|
||||
xi_twin, &
|
||||
gamma_slip, &
|
||||
gamma_twin
|
||||
end type tPhenopowerlawState
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! containers for parameters and state
|
||||
type(tParameters), allocatable, dimension(:) :: param
|
||||
type(tPhenopowerlawState), allocatable, dimension(:) :: &
|
||||
dotState, &
|
||||
state
|
||||
|
||||
contains
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief module initialization
|
||||
!> @details reads in material parameters, allocates arrays, and does sanity checks
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
module subroutine plastic_phenopowerlaw_init
|
||||
|
||||
integer :: &
|
||||
Ninstance, &
|
||||
p, i, &
|
||||
NipcMyPhase, outputSize, &
|
||||
sizeState, sizeDotState, &
|
||||
startIndex, endIndex
|
||||
|
||||
integer(kind(undefined_ID)) :: &
|
||||
outputID
|
||||
|
||||
character(len=pStringLen) :: &
|
||||
extmsg = ''
|
||||
character(len=pStringLen), dimension(:), allocatable :: &
|
||||
outputs
|
||||
|
||||
write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_PHENOPOWERLAW_label//' init -+>>>'
|
||||
|
||||
Ninstance = count(phase_plasticity == PLASTICITY_PHENOPOWERLAW_ID)
|
||||
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) &
|
||||
write(6,'(a16,1x,i5,/)') '# instances:',Ninstance
|
||||
|
||||
allocate(param(Ninstance))
|
||||
allocate(state(Ninstance))
|
||||
allocate(dotState(Ninstance))
|
||||
|
||||
do p = 1, size(phase_plasticity)
|
||||
if (phase_plasticity(p) /= PLASTICITY_PHENOPOWERLAW_ID) cycle
|
||||
associate(prm => param(phase_plasticityInstance(p)), &
|
||||
dot => dotState(phase_plasticityInstance(p)), &
|
||||
stt => state(phase_plasticityInstance(p)), &
|
||||
config => config_phase(p))
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! optional parameters that need to be defined
|
||||
prm%c_1 = config%getFloat('twin_c',defaultVal=0.0_pReal)
|
||||
prm%c_2 = config%getFloat('twin_b',defaultVal=1.0_pReal)
|
||||
prm%c_3 = config%getFloat('twin_e',defaultVal=0.0_pReal)
|
||||
prm%c_4 = config%getFloat('twin_d',defaultVal=0.0_pReal)
|
||||
|
||||
prm%aTolResistance = config%getFloat('atol_resistance',defaultVal=1.0_pReal)
|
||||
prm%aTolShear = config%getFloat('atol_shear', defaultVal=1.0e-6_pReal)
|
||||
prm%aTolTwinfrac = config%getFloat('atol_twinfrac', defaultVal=1.0e-6_pReal)
|
||||
|
||||
! sanity checks
|
||||
if (prm%aTolResistance <= 0.0_pReal) extmsg = trim(extmsg)//' aTolresistance'
|
||||
if (prm%aTolShear <= 0.0_pReal) extmsg = trim(extmsg)//' aTolShear'
|
||||
if (prm%aTolTwinfrac <= 0.0_pReal) extmsg = trim(extmsg)//' atoltwinfrac'
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! slip related parameters
|
||||
prm%Nslip = config%getInts('nslip',defaultVal=emptyIntArray)
|
||||
prm%totalNslip = sum(prm%Nslip)
|
||||
slipActive: if (prm%totalNslip > 0) then
|
||||
prm%Schmid_slip = lattice_SchmidMatrix_slip(prm%Nslip,config%getString('lattice_structure'),&
|
||||
config%getFloat('c/a',defaultVal=0.0_pReal))
|
||||
|
||||
if(trim(config%getString('lattice_structure')) == 'bcc') then
|
||||
prm%nonSchmidCoeff = config%getFloats('nonschmid_coefficients',&
|
||||
defaultVal = emptyRealArray)
|
||||
prm%nonSchmid_pos = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,+1)
|
||||
prm%nonSchmid_neg = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,-1)
|
||||
else
|
||||
allocate(prm%nonSchmidCoeff(0))
|
||||
prm%nonSchmid_pos = prm%Schmid_slip
|
||||
prm%nonSchmid_neg = prm%Schmid_slip
|
||||
endif
|
||||
prm%interaction_SlipSlip = lattice_interaction_SlipBySlip(prm%Nslip, &
|
||||
config%getFloats('interaction_slipslip'), &
|
||||
config%getString('lattice_structure'))
|
||||
|
||||
prm%xi_slip_0 = config%getFloats('tau0_slip', requiredSize=size(prm%Nslip))
|
||||
prm%xi_slip_sat = config%getFloats('tausat_slip', requiredSize=size(prm%Nslip))
|
||||
prm%H_int = config%getFloats('h_int', requiredSize=size(prm%Nslip), &
|
||||
defaultVal=[(0.0_pReal,i=1,size(prm%Nslip))])
|
||||
|
||||
prm%gdot0_slip = config%getFloat('gdot0_slip')
|
||||
prm%n_slip = config%getFloat('n_slip')
|
||||
prm%a_slip = config%getFloat('a_slip')
|
||||
prm%h0_SlipSlip = config%getFloat('h0_slipslip')
|
||||
|
||||
! expand: family => system
|
||||
prm%xi_slip_0 = math_expand(prm%xi_slip_0, prm%Nslip)
|
||||
prm%xi_slip_sat = math_expand(prm%xi_slip_sat,prm%Nslip)
|
||||
prm%H_int = math_expand(prm%H_int, prm%Nslip)
|
||||
|
||||
! sanity checks
|
||||
if ( prm%gdot0_slip <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0_slip'
|
||||
if ( prm%a_slip <= 0.0_pReal) extmsg = trim(extmsg)//' a_slip'
|
||||
if ( prm%n_slip <= 0.0_pReal) extmsg = trim(extmsg)//' n_slip'
|
||||
if (any(prm%xi_slip_0 <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_slip_0'
|
||||
if (any(prm%xi_slip_sat <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_slip_sat'
|
||||
else slipActive
|
||||
allocate(prm%interaction_SlipSlip(0,0))
|
||||
allocate(prm%xi_slip_0(0))
|
||||
endif slipActive
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! twin related parameters
|
||||
prm%Ntwin = config%getInts('ntwin', defaultVal=emptyIntArray)
|
||||
prm%totalNtwin = sum(prm%Ntwin)
|
||||
twinActive: if (prm%totalNtwin > 0) then
|
||||
prm%Schmid_twin = lattice_SchmidMatrix_twin(prm%Ntwin,config%getString('lattice_structure'),&
|
||||
config%getFloat('c/a',defaultVal=0.0_pReal))
|
||||
prm%interaction_TwinTwin = lattice_interaction_TwinByTwin(prm%Ntwin,&
|
||||
config%getFloats('interaction_twintwin'), &
|
||||
config%getString('lattice_structure'))
|
||||
prm%gamma_twin_char = lattice_characteristicShear_twin(prm%Ntwin,config%getString('lattice_structure'),&
|
||||
config%getFloat('c/a'))
|
||||
|
||||
prm%xi_twin_0 = config%getFloats('tau0_twin',requiredSize=size(prm%Ntwin))
|
||||
|
||||
prm%gdot0_twin = config%getFloat('gdot0_twin')
|
||||
prm%n_twin = config%getFloat('n_twin')
|
||||
prm%spr = config%getFloat('s_pr')
|
||||
prm%h0_TwinTwin = config%getFloat('h0_twintwin')
|
||||
|
||||
! expand: family => system
|
||||
prm%xi_twin_0 = math_expand(prm%xi_twin_0, prm%Ntwin)
|
||||
|
||||
! sanity checks
|
||||
if (prm%gdot0_twin <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0_twin'
|
||||
if (prm%n_twin <= 0.0_pReal) extmsg = trim(extmsg)//' n_twin'
|
||||
else twinActive
|
||||
allocate(prm%interaction_TwinTwin(0,0))
|
||||
allocate(prm%xi_twin_0(0))
|
||||
allocate(prm%gamma_twin_char(0))
|
||||
endif twinActive
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! slip-twin related parameters
|
||||
slipAndTwinActive: if (prm%totalNslip > 0 .and. prm%totalNtwin > 0) then
|
||||
prm%h0_TwinSlip = config%getFloat('h0_twinslip')
|
||||
prm%interaction_SlipTwin = lattice_interaction_SlipByTwin(prm%Nslip,prm%Ntwin,&
|
||||
config%getFloats('interaction_sliptwin'), &
|
||||
config%getString('lattice_structure'))
|
||||
prm%interaction_TwinSlip = lattice_interaction_TwinBySlip(prm%Ntwin,prm%Nslip,&
|
||||
config%getFloats('interaction_twinslip'), &
|
||||
config%getString('lattice_structure'))
|
||||
else slipAndTwinActive
|
||||
allocate(prm%interaction_SlipTwin(prm%TotalNslip,prm%TotalNtwin)) ! at least one dimension is 0
|
||||
allocate(prm%interaction_TwinSlip(prm%TotalNtwin,prm%TotalNslip)) ! at least one dimension is 0
|
||||
prm%h0_TwinSlip = 0.0_pReal
|
||||
endif slipAndTwinActive
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! exit if any parameter is out of range
|
||||
if (extmsg /= '') &
|
||||
call IO_error(211,ext_msg=trim(extmsg)//'('//PLASTICITY_PHENOPOWERLAW_label//')')
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! output pararameters
|
||||
outputs = config%getStrings('(output)',defaultVal=emptyStringArray)
|
||||
allocate(prm%outputID(0))
|
||||
do i=1, size(outputs)
|
||||
outputID = undefined_ID
|
||||
select case(outputs(i))
|
||||
|
||||
case ('resistance_slip')
|
||||
outputID = merge(resistance_slip_ID,undefined_ID,prm%totalNslip>0)
|
||||
outputSize = prm%totalNslip
|
||||
case ('accumulatedshear_slip')
|
||||
outputID = merge(accumulatedshear_slip_ID,undefined_ID,prm%totalNslip>0)
|
||||
outputSize = prm%totalNslip
|
||||
case ('shearrate_slip')
|
||||
outputID = merge(shearrate_slip_ID,undefined_ID,prm%totalNslip>0)
|
||||
outputSize = prm%totalNslip
|
||||
case ('resolvedstress_slip')
|
||||
outputID = merge(resolvedstress_slip_ID,undefined_ID,prm%totalNslip>0)
|
||||
outputSize = prm%totalNslip
|
||||
|
||||
case ('resistance_twin')
|
||||
outputID = merge(resistance_twin_ID,undefined_ID,prm%totalNtwin>0)
|
||||
outputSize = prm%totalNtwin
|
||||
case ('accumulatedshear_twin')
|
||||
outputID = merge(accumulatedshear_twin_ID,undefined_ID,prm%totalNtwin>0)
|
||||
outputSize = prm%totalNtwin
|
||||
case ('shearrate_twin')
|
||||
outputID = merge(shearrate_twin_ID,undefined_ID,prm%totalNtwin>0)
|
||||
outputSize = prm%totalNtwin
|
||||
case ('resolvedstress_twin')
|
||||
outputID = merge(resolvedstress_twin_ID,undefined_ID,prm%totalNtwin>0)
|
||||
outputSize = prm%totalNtwin
|
||||
|
||||
end select
|
||||
|
||||
if (outputID /= undefined_ID) then
|
||||
prm%outputID = [prm%outputID, outputID]
|
||||
endif
|
||||
|
||||
enddo
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! allocate state arrays
|
||||
NipcMyPhase = count(material_phaseAt == p) * discretization_nIP
|
||||
sizeDotState = size(['tau_slip ','gamma_slip']) * prm%totalNslip &
|
||||
+ size(['tau_twin ','gamma_twin']) * prm%totalNtwin
|
||||
sizeState = sizeDotState
|
||||
|
||||
call material_allocatePlasticState(p,NipcMyPhase,sizeState,sizeDotState,0)
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! locally defined state aliases and initialization of state0 and aTolState
|
||||
startIndex = 1
|
||||
endIndex = prm%totalNslip
|
||||
stt%xi_slip => plasticState(p)%state (startIndex:endIndex,:)
|
||||
stt%xi_slip = spread(prm%xi_slip_0, 2, NipcMyPhase)
|
||||
dot%xi_slip => plasticState(p)%dotState(startIndex:endIndex,:)
|
||||
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
|
||||
|
||||
startIndex = endIndex + 1
|
||||
endIndex = endIndex + prm%totalNtwin
|
||||
stt%xi_twin => plasticState(p)%state (startIndex:endIndex,:)
|
||||
stt%xi_twin = spread(prm%xi_twin_0, 2, NipcMyPhase)
|
||||
dot%xi_twin => plasticState(p)%dotState(startIndex:endIndex,:)
|
||||
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
|
||||
|
||||
startIndex = endIndex + 1
|
||||
endIndex = endIndex + prm%totalNslip
|
||||
stt%gamma_slip => plasticState(p)%state (startIndex:endIndex,:)
|
||||
dot%gamma_slip => plasticState(p)%dotState(startIndex:endIndex,:)
|
||||
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolShear
|
||||
! global alias
|
||||
plasticState(p)%slipRate => plasticState(p)%dotState(startIndex:endIndex,:)
|
||||
plasticState(p)%accumulatedSlip => plasticState(p)%state(startIndex:endIndex,:)
|
||||
|
||||
startIndex = endIndex + 1
|
||||
endIndex = endIndex + prm%totalNtwin
|
||||
stt%gamma_twin => plasticState(p)%state (startIndex:endIndex,:)
|
||||
dot%gamma_twin => plasticState(p)%dotState(startIndex:endIndex,:)
|
||||
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolShear
|
||||
|
||||
plasticState(p)%state0 = plasticState(p)%state ! ToDo: this could be done centrally
|
||||
|
||||
end associate
|
||||
|
||||
enddo
|
||||
|
||||
end subroutine plastic_phenopowerlaw_init
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates plastic velocity gradient and its tangent
|
||||
!> @details asummes that deformation by dislocation glide affects twinned and untwinned volume
|
||||
! equally (Taylor assumption). Twinning happens only in untwinned volume
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
pure module subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
|
||||
|
||||
real(pReal), dimension(3,3), intent(out) :: &
|
||||
Lp !< plastic velocity gradient
|
||||
real(pReal), dimension(3,3,3,3), intent(out) :: &
|
||||
dLp_dMp !< derivative of Lp with respect to the Mandel stress
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
integer :: &
|
||||
i,k,l,m,n
|
||||
real(pReal), dimension(param(instance)%totalNslip) :: &
|
||||
gdot_slip_pos,gdot_slip_neg, &
|
||||
dgdot_dtauslip_pos,dgdot_dtauslip_neg
|
||||
real(pReal), dimension(param(instance)%totalNtwin) :: &
|
||||
gdot_twin,dgdot_dtautwin
|
||||
|
||||
Lp = 0.0_pReal
|
||||
dLp_dMp = 0.0_pReal
|
||||
|
||||
associate(prm => param(instance))
|
||||
|
||||
call kinetics_slip(Mp,instance,of,gdot_slip_pos,gdot_slip_neg,dgdot_dtauslip_pos,dgdot_dtauslip_neg)
|
||||
slipSystems: do i = 1, prm%totalNslip
|
||||
Lp = Lp + (gdot_slip_pos(i)+gdot_slip_neg(i))*prm%Schmid_slip(1:3,1:3,i)
|
||||
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
|
||||
dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) &
|
||||
+ dgdot_dtauslip_pos(i) * prm%Schmid_slip(k,l,i) * prm%nonSchmid_pos(m,n,i) &
|
||||
+ dgdot_dtauslip_neg(i) * prm%Schmid_slip(k,l,i) * prm%nonSchmid_neg(m,n,i)
|
||||
enddo slipSystems
|
||||
|
||||
call kinetics_twin(Mp,instance,of,gdot_twin,dgdot_dtautwin)
|
||||
twinSystems: do i = 1, prm%totalNtwin
|
||||
Lp = Lp + gdot_twin(i)*prm%Schmid_twin(1:3,1:3,i)
|
||||
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
|
||||
dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) &
|
||||
+ dgdot_dtautwin(i)*prm%Schmid_twin(k,l,i)*prm%Schmid_twin(m,n,i)
|
||||
enddo twinSystems
|
||||
|
||||
end associate
|
||||
|
||||
end subroutine plastic_phenopowerlaw_LpAndItsTangent
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates the rate of change of microstructure
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
module subroutine plastic_phenopowerlaw_dotState(Mp,instance,of)
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
real(pReal) :: &
|
||||
c_SlipSlip,c_TwinSlip,c_TwinTwin, &
|
||||
xi_slip_sat_offset,&
|
||||
sumGamma,sumF
|
||||
real(pReal), dimension(param(instance)%totalNslip) :: &
|
||||
left_SlipSlip,right_SlipSlip, &
|
||||
gdot_slip_pos,gdot_slip_neg
|
||||
|
||||
associate(prm => param(instance), stt => state(instance), dot => dotState(instance))
|
||||
|
||||
sumGamma = sum(stt%gamma_slip(:,of))
|
||||
sumF = sum(stt%gamma_twin(:,of)/prm%gamma_twin_char)
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! system-independent (nonlinear) prefactors to M_Xx (X influenced by x) matrices
|
||||
c_SlipSlip = prm%h0_slipslip * (1.0_pReal + prm%c_1*sumF** prm%c_2)
|
||||
c_TwinSlip = prm%h0_TwinSlip * sumGamma**prm%c_3
|
||||
c_TwinTwin = prm%h0_TwinTwin * sumF**prm%c_4
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! calculate left and right vectors
|
||||
left_SlipSlip = 1.0_pReal + prm%H_int
|
||||
xi_slip_sat_offset = prm%spr*sqrt(sumF)
|
||||
right_SlipSlip = abs(1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset)) **prm%a_slip &
|
||||
* sign(1.0_pReal,1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset))
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! shear rates
|
||||
call kinetics_slip(Mp,instance,of,gdot_slip_pos,gdot_slip_neg)
|
||||
dot%gamma_slip(:,of) = abs(gdot_slip_pos+gdot_slip_neg)
|
||||
call kinetics_twin(Mp,instance,of,dot%gamma_twin(:,of))
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! hardening
|
||||
dot%xi_slip(:,of) = c_SlipSlip * left_SlipSlip * &
|
||||
matmul(prm%interaction_SlipSlip,dot%gamma_slip(:,of)*right_SlipSlip) &
|
||||
+ matmul(prm%interaction_SlipTwin,dot%gamma_twin(:,of))
|
||||
|
||||
dot%xi_twin(:,of) = c_TwinSlip * matmul(prm%interaction_TwinSlip,dot%gamma_slip(:,of)) &
|
||||
+ c_TwinTwin * matmul(prm%interaction_TwinTwin,dot%gamma_twin(:,of))
|
||||
end associate
|
||||
|
||||
end subroutine plastic_phenopowerlaw_dotState
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief writes results to HDF5 output file
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
module subroutine plastic_phenopowerlaw_results(instance,group)
|
||||
|
||||
integer, intent(in) :: instance
|
||||
character(len=*), intent(in) :: group
|
||||
|
||||
integer :: o
|
||||
|
||||
associate(prm => param(instance), stt => state(instance))
|
||||
outputsLoop: do o = 1,size(prm%outputID)
|
||||
select case(prm%outputID(o))
|
||||
|
||||
case (resistance_slip_ID)
|
||||
call results_writeDataset(group,stt%xi_slip, 'xi_sl', &
|
||||
'resistance against plastic slip','Pa')
|
||||
case (accumulatedshear_slip_ID)
|
||||
call results_writeDataset(group,stt%gamma_slip,'gamma_sl', &
|
||||
'plastic shear','1')
|
||||
|
||||
case (resistance_twin_ID)
|
||||
call results_writeDataset(group,stt%xi_twin, 'xi_tw', &
|
||||
'resistance against twinning','Pa')
|
||||
case (accumulatedshear_twin_ID)
|
||||
call results_writeDataset(group,stt%gamma_twin,'gamma_tw', &
|
||||
'twinning shear','1')
|
||||
|
||||
end select
|
||||
enddo outputsLoop
|
||||
end associate
|
||||
|
||||
end subroutine plastic_phenopowerlaw_results
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief Shear rates on slip systems and their derivatives with respect to resolved stress
|
||||
!> @details Derivatives are calculated only optionally.
|
||||
! NOTE: Against the common convention, the result (i.e. intent(out)) variables are the last to
|
||||
! have the optional arguments at the end
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
pure subroutine kinetics_slip(Mp,instance,of, &
|
||||
gdot_slip_pos,gdot_slip_neg,dgdot_dtau_slip_pos,dgdot_dtau_slip_neg)
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
real(pReal), intent(out), dimension(param(instance)%totalNslip) :: &
|
||||
gdot_slip_pos, &
|
||||
gdot_slip_neg
|
||||
real(pReal), intent(out), optional, dimension(param(instance)%totalNslip) :: &
|
||||
dgdot_dtau_slip_pos, &
|
||||
dgdot_dtau_slip_neg
|
||||
|
||||
real(pReal), dimension(param(instance)%totalNslip) :: &
|
||||
tau_slip_pos, &
|
||||
tau_slip_neg
|
||||
integer :: i
|
||||
logical :: nonSchmidActive
|
||||
|
||||
associate(prm => param(instance), stt => state(instance))
|
||||
|
||||
nonSchmidActive = size(prm%nonSchmidCoeff) > 0
|
||||
|
||||
do i = 1, prm%totalNslip
|
||||
tau_slip_pos(i) = math_mul33xx33(Mp,prm%nonSchmid_pos(1:3,1:3,i))
|
||||
tau_slip_neg(i) = merge(math_mul33xx33(Mp,prm%nonSchmid_neg(1:3,1:3,i)), &
|
||||
0.0_pReal, nonSchmidActive)
|
||||
enddo
|
||||
|
||||
where(dNeq0(tau_slip_pos))
|
||||
gdot_slip_pos = prm%gdot0_slip * merge(0.5_pReal,1.0_pReal, nonSchmidActive) & ! 1/2 if non-Schmid active
|
||||
* sign(abs(tau_slip_pos/stt%xi_slip(:,of))**prm%n_slip, tau_slip_pos)
|
||||
else where
|
||||
gdot_slip_pos = 0.0_pReal
|
||||
end where
|
||||
|
||||
where(dNeq0(tau_slip_neg))
|
||||
gdot_slip_neg = prm%gdot0_slip * 0.5_pReal & ! only used if non-Schmid active, always 1/2
|
||||
* sign(abs(tau_slip_neg/stt%xi_slip(:,of))**prm%n_slip, tau_slip_neg)
|
||||
else where
|
||||
gdot_slip_neg = 0.0_pReal
|
||||
end where
|
||||
|
||||
if (present(dgdot_dtau_slip_pos)) then
|
||||
where(dNeq0(gdot_slip_pos))
|
||||
dgdot_dtau_slip_pos = gdot_slip_pos*prm%n_slip/tau_slip_pos
|
||||
else where
|
||||
dgdot_dtau_slip_pos = 0.0_pReal
|
||||
end where
|
||||
endif
|
||||
if (present(dgdot_dtau_slip_neg)) then
|
||||
where(dNeq0(gdot_slip_neg))
|
||||
dgdot_dtau_slip_neg = gdot_slip_neg*prm%n_slip/tau_slip_neg
|
||||
else where
|
||||
dgdot_dtau_slip_neg = 0.0_pReal
|
||||
end where
|
||||
endif
|
||||
end associate
|
||||
|
||||
end subroutine kinetics_slip
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief Shear rates on twin systems and their derivatives with respect to resolved stress.
|
||||
! twinning is assumed to take place only in untwinned volume.
|
||||
!> @details Derivates are calculated only optionally.
|
||||
! NOTE: Against the common convention, the result (i.e. intent(out)) variables are the last to
|
||||
! have the optional arguments at the end.
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
pure subroutine kinetics_twin(Mp,instance,of,&
|
||||
gdot_twin,dgdot_dtau_twin)
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
real(pReal), dimension(param(instance)%totalNtwin), intent(out) :: &
|
||||
gdot_twin
|
||||
real(pReal), dimension(param(instance)%totalNtwin), intent(out), optional :: &
|
||||
dgdot_dtau_twin
|
||||
|
||||
real(pReal), dimension(param(instance)%totalNtwin) :: &
|
||||
tau_twin
|
||||
integer :: i
|
||||
|
||||
associate(prm => param(instance), stt => state(instance))
|
||||
|
||||
do i = 1, prm%totalNtwin
|
||||
tau_twin(i) = math_mul33xx33(Mp,prm%Schmid_twin(1:3,1:3,i))
|
||||
enddo
|
||||
|
||||
where(tau_twin > 0.0_pReal)
|
||||
gdot_twin = (1.0_pReal-sum(stt%gamma_twin(:,of)/prm%gamma_twin_char)) & ! only twin in untwinned volume fraction
|
||||
* prm%gdot0_twin*(abs(tau_twin)/stt%xi_twin(:,of))**prm%n_twin
|
||||
else where
|
||||
gdot_twin = 0.0_pReal
|
||||
end where
|
||||
|
||||
if (present(dgdot_dtau_twin)) then
|
||||
where(dNeq0(gdot_twin))
|
||||
dgdot_dtau_twin = gdot_twin*prm%n_twin/tau_twin
|
||||
else where
|
||||
dgdot_dtau_twin = 0.0_pReal
|
||||
end where
|
||||
endif
|
||||
|
||||
end associate
|
||||
|
||||
end subroutine kinetics_twin
|
||||
|
||||
end submodule plastic_phenopowerlaw
|
||||
|
|
@ -21,7 +21,6 @@ module crystallite
|
|||
use constitutive
|
||||
use discretization
|
||||
use lattice
|
||||
use plastic_nonlocal
|
||||
use results
|
||||
|
||||
implicit none
|
||||
|
|
|
|||
141
src/element.f90
141
src/element.f90
|
|
@ -42,38 +42,39 @@ module element
|
|||
|
||||
integer, dimension(NELEMTYPE), parameter :: NNODE = &
|
||||
[ &
|
||||
3, & ! 2D 3node 1ip
|
||||
6, & ! 2D 6node 3ip
|
||||
4, & ! 2D 4node 4ip
|
||||
8, & ! 2D 8node 9ip
|
||||
8, & ! 2D 8node 4ip
|
||||
!--------------------
|
||||
4, & ! 3D 4node 1ip
|
||||
5, & ! 3D 5node 4ip
|
||||
10, & ! 3D 10node 4ip
|
||||
6, & ! 3D 6node 6ip
|
||||
8, & ! 3D 8node 1ip
|
||||
8, & ! 3D 8node 8ip
|
||||
20, & ! 3D 20node 8ip
|
||||
20 & ! 3D 20node 27ip
|
||||
3, & ! 2D, 1 IP
|
||||
6, & ! 2D, 3 IP
|
||||
4, & ! 2D, 4 IP
|
||||
8, & ! 2D, 9 IP
|
||||
8, & ! 2D, 4 IP
|
||||
!----------------------
|
||||
4, & ! 3D, 1 IP
|
||||
5, & ! 3D, 4 IP
|
||||
10, & ! 3D, 4 IP
|
||||
6, & ! 3D, 6 IP
|
||||
8, & ! 3D, 1 IP
|
||||
8, & ! 3D, 8 IP
|
||||
20, & ! 3D, 8 IP
|
||||
20 & ! 3D, 27 IP
|
||||
] !< number of nodes that constitute a specific type of element
|
||||
|
||||
integer, dimension(NELEMTYPE), parameter :: GEOMTYPE = &
|
||||
[ &
|
||||
1, &
|
||||
2, &
|
||||
3, &
|
||||
4, &
|
||||
3, &
|
||||
5, &
|
||||
6, &
|
||||
6, &
|
||||
7, &
|
||||
8, &
|
||||
9, &
|
||||
9, &
|
||||
10 &
|
||||
] !< geometry type of particular element type
|
||||
1, & ! 1 triangle
|
||||
2, & ! 3 quadrilaterals
|
||||
3, & ! 4 quadrilaterals
|
||||
4, & ! 9 quadrilaterals
|
||||
3, & ! 4 quadrilaterals
|
||||
!----------------------
|
||||
5, & ! 1 tetrahedron
|
||||
6, & ! 4 hexahedrons
|
||||
6, & ! 4 hexahedrons
|
||||
7, & ! 6 hexahedrons
|
||||
8, & ! 1 hexahedron
|
||||
9, & ! 8 hexahedrons
|
||||
9, & ! 8 hexahedrons
|
||||
10 & ! 27 hexahedrons
|
||||
] !< geometry type (same number of cell nodes and IPs)
|
||||
|
||||
integer, dimension(maxval(GEOMTYPE)), parameter :: NCELLNODE = &
|
||||
[ &
|
||||
|
|
@ -87,7 +88,7 @@ module element
|
|||
8, &
|
||||
27, &
|
||||
64 &
|
||||
] !< number of cell nodes in a specific geometry type
|
||||
] !< number of cell nodes
|
||||
|
||||
integer, dimension(maxval(GEOMTYPE)), parameter :: NIP = &
|
||||
[ &
|
||||
|
|
@ -101,45 +102,45 @@ module element
|
|||
1, &
|
||||
8, &
|
||||
27 &
|
||||
] !< number of IPs in a specific geometry type
|
||||
] !< number of IPs
|
||||
|
||||
integer, dimension(maxval(GEOMTYPE)), parameter :: CELLTYPE = &
|
||||
[ &
|
||||
1, & ! 2D 3node
|
||||
2, & ! 2D 4node
|
||||
2, & ! 2D 4node
|
||||
2, & ! 2D 4node
|
||||
3, & ! 3D 4node
|
||||
4, & ! 3D 8node
|
||||
4, & ! 3D 8node
|
||||
4, & ! 3D 8node
|
||||
4, & ! 3D 8node
|
||||
4 & ! 3D 8node
|
||||
] !< cell type that is used by each geometry type
|
||||
1, & ! 2D, 3 node (Triangle)
|
||||
2, & ! 2D, 4 node (Quadrilateral)
|
||||
2, & ! - " -
|
||||
2, & ! - " -
|
||||
3, & ! 3D, 4 node (Tetrahedron)
|
||||
4, & ! 3D, 4 node (Hexahedron)
|
||||
4, & ! - " -
|
||||
4, & ! - " -
|
||||
4, & ! - " -
|
||||
4 & ! - " -
|
||||
] !< cell type
|
||||
|
||||
integer, dimension(maxval(CELLTYPE)), parameter :: NIPNEIGHBOR = &
|
||||
[ &
|
||||
3, & ! 2D 3node
|
||||
4, & ! 2D 4node
|
||||
4, & ! 3D 4node
|
||||
6 & ! 3D 8node
|
||||
] !< number of ip neighbors / cell faces in a specific cell type
|
||||
3, &
|
||||
4, &
|
||||
4, &
|
||||
6 &
|
||||
] !< number of ip neighbors / cell faces
|
||||
|
||||
integer, dimension(maxval(CELLTYPE)), parameter :: NCELLNODEPERCELLFACE = &
|
||||
[ &
|
||||
2, & ! 2D 3node
|
||||
2, & ! 2D 4node
|
||||
3, & ! 3D 4node
|
||||
4 & ! 3D 8node
|
||||
] !< number of cell nodes in a specific cell type
|
||||
2, &
|
||||
2, &
|
||||
3, &
|
||||
4 &
|
||||
] !< number of cell nodes per face
|
||||
|
||||
integer, dimension(maxval(CELLTYPE)), parameter :: NCELLNODEPERCELL = &
|
||||
[ &
|
||||
3, & ! 2D 3node
|
||||
4, & ! 2D 4node
|
||||
4, & ! 3D 4node
|
||||
8 & ! 3D 8node
|
||||
] !< number of cell nodes in a specific cell type
|
||||
3, &
|
||||
4, &
|
||||
4, &
|
||||
8 &
|
||||
] !< number of total cell nodes
|
||||
|
||||
! *** IPneighbor ***
|
||||
! list of the neighborhood of each IP.
|
||||
|
|
@ -493,14 +494,14 @@ module element
|
|||
0, 1, 1, 0, 0, 0, 0, 0, & ! 10
|
||||
0, 0, 1, 1, 0, 0, 0, 0, & !
|
||||
1, 0, 0, 1, 0, 0, 0, 0, & !
|
||||
1, 0, 0, 0, 1, 0, 0, 0, & !
|
||||
0, 1, 0, 0, 0, 1, 0, 0, & !
|
||||
0, 0, 1, 0, 0, 0, 1, 0, & ! 15
|
||||
0, 0, 0, 1, 0, 0, 0, 1, & !
|
||||
0, 0, 0, 0, 1, 1, 0, 0, & !
|
||||
0, 0, 0, 0, 0, 1, 1, 0, & !
|
||||
0, 0, 0, 0, 0, 0, 1, 1, & !
|
||||
0, 0, 0, 0, 1, 0, 0, 1, & ! 20
|
||||
0, 0, 0, 0, 0, 0, 1, 1, & ! 15
|
||||
0, 0, 0, 0, 1, 0, 0, 1, & !
|
||||
1, 0, 0, 0, 1, 0, 0, 0, & !
|
||||
0, 1, 0, 0, 0, 1, 0, 0, & !
|
||||
0, 0, 1, 0, 0, 0, 1, 0, & !
|
||||
0, 0, 0, 1, 0, 0, 0, 1, & ! 20
|
||||
1, 1, 1, 1, 0, 0, 0, 0, & !
|
||||
1, 1, 0, 0, 1, 1, 0, 0, & !
|
||||
0, 1, 1, 0, 0, 1, 1, 0, & !
|
||||
|
|
@ -717,14 +718,14 @@ module element
|
|||
|
||||
integer, dimension(NCELLNODEPERCELL(CELLTYPE(9)),NIP(9)), parameter :: CELL9 = &
|
||||
reshape([&
|
||||
1, 9,21,12,13,22,27,25, &
|
||||
9, 2,10,21,22,14,23,27, &
|
||||
12,21,11, 4,25,27,24,16, &
|
||||
21,10, 3,11,27,23,15,24, &
|
||||
13,22,27,25, 5,17,26,20, &
|
||||
22,14,23,27,17, 6,18,26, &
|
||||
25,27,24,16,20,26,19, 8, &
|
||||
27,23,15,24,26,18, 7,19 &
|
||||
1, 9,21,12,17,22,27,25, &
|
||||
9, 2,10,21,22,18,23,27, &
|
||||
12,21,11, 4,25,27,24,20, &
|
||||
21,10, 3,11,27,23,19,24, &
|
||||
17,22,27,25, 5,13,26,16, &
|
||||
22,18,23,27,13, 6,14,26, &
|
||||
25,27,24,20,16,26,15, 8, &
|
||||
27,23,19,24,26,14, 7,15 &
|
||||
#if !defined(__GFORTRAN__)
|
||||
],shape(CELL9))
|
||||
#else
|
||||
|
|
|
|||
|
|
@ -585,26 +585,23 @@ subroutine inputRead_elemType(elem, &
|
|||
select case (IO_lc(what))
|
||||
case ( '6')
|
||||
mapElemtype = 1 ! Two-dimensional Plane Strain Triangle
|
||||
case ( '155', &
|
||||
'125', &
|
||||
'128')
|
||||
case ( '125') ! 155, 128 (need test)
|
||||
mapElemtype = 2 ! Two-dimensional Plane Strain triangle (155: cubic shape function, 125/128: second order isoparametric)
|
||||
case ( '11')
|
||||
mapElemtype = 3 ! Arbitrary Quadrilateral Plane-strain
|
||||
!case ( '11') ! need test
|
||||
! mapElemtype = 3 ! Arbitrary Quadrilateral Plane-strain
|
||||
case ( '27')
|
||||
mapElemtype = 4 ! Plane Strain, Eight-node Distorted Quadrilateral
|
||||
case ( '54')
|
||||
mapElemtype = 5 ! Plane Strain, Eight-node Distorted Quadrilateral with reduced integration
|
||||
case ( '134')
|
||||
mapElemtype = 6 ! Three-dimensional Four-node Tetrahedron
|
||||
case ( '157')
|
||||
mapElemtype = 7 ! Three-dimensional, Low-order, Tetrahedron, Herrmann Formulations
|
||||
case ( '127')
|
||||
mapElemtype = 8 ! Three-dimensional Ten-node Tetrahedron
|
||||
case ( '136')
|
||||
mapElemtype = 9 ! Three-dimensional Arbitrarily Distorted Pentahedral
|
||||
case ( '117', &
|
||||
'123')
|
||||
!case ( '134') ! need test
|
||||
! mapElemtype = 6 ! Three-dimensional Four-node Tetrahedron
|
||||
!case ( '157') ! need test
|
||||
! mapElemtype = 7 ! Three-dimensional, Low-order, Tetrahedron, Herrmann Formulations
|
||||
!case ( '127') ! need test
|
||||
! mapElemtype = 8 ! Three-dimensional Ten-node Tetrahedron
|
||||
!case ( '136') ! need test
|
||||
! mapElemtype = 9 ! Three-dimensional Arbitrarily Distorted Pentahedral
|
||||
case ( '117') ! 123 (need test)
|
||||
mapElemtype = 10 ! Three-dimensional Arbitrarily Distorted linear hexahedral with reduced integration
|
||||
case ( '7')
|
||||
mapElemtype = 11 ! Three-dimensional Arbitrarily Distorted Brick
|
||||
|
|
|
|||
File diff suppressed because it is too large
Load Diff
|
|
@ -1,541 +0,0 @@
|
|||
!--------------------------------------------------------------------------------------------------
|
||||
!> @author Philip Eisenlohr, Michigan State University
|
||||
!> @author Zhuowen Zhao, Michigan State University
|
||||
!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
|
||||
!> @brief Phenomenological crystal plasticity using a power law formulation for the shear rates
|
||||
!! and a Voce-type kinematic hardening rule
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
module plastic_kinehardening
|
||||
use prec
|
||||
use debug
|
||||
use math
|
||||
use IO
|
||||
use material
|
||||
use config
|
||||
use lattice
|
||||
use discretization
|
||||
use results
|
||||
|
||||
implicit none
|
||||
private
|
||||
|
||||
enum, bind(c)
|
||||
enumerator :: &
|
||||
undefined_ID, &
|
||||
crss_ID, & !< critical resolved stress
|
||||
crss_back_ID, & !< critical resolved back stress
|
||||
sense_ID, & !< sense of acting shear stress (-1 or +1)
|
||||
chi0_ID, & !< backstress at last switch of stress sense (positive?)
|
||||
gamma0_ID, & !< accumulated shear at last switch of stress sense (at current switch?)
|
||||
accshear_ID, &
|
||||
shearrate_ID, &
|
||||
resolvedstress_ID
|
||||
end enum
|
||||
|
||||
type :: tParameters
|
||||
real(pReal) :: &
|
||||
gdot0, & !< reference shear strain rate for slip
|
||||
n, & !< stress exponent for slip
|
||||
aTolResistance, &
|
||||
aTolShear
|
||||
real(pReal), allocatable, dimension(:) :: &
|
||||
crss0, & !< initial critical shear stress for slip
|
||||
theta0, & !< initial hardening rate of forward stress for each slip
|
||||
theta1, & !< asymptotic hardening rate of forward stress for each slip
|
||||
theta0_b, & !< initial hardening rate of back stress for each slip
|
||||
theta1_b, & !< asymptotic hardening rate of back stress for each slip
|
||||
tau1, &
|
||||
tau1_b, &
|
||||
nonSchmidCoeff
|
||||
real(pReal), allocatable, dimension(:,:) :: &
|
||||
interaction_slipslip !< slip resistance from slip activity
|
||||
real(pReal), allocatable, dimension(:,:,:) :: &
|
||||
Schmid, &
|
||||
nonSchmid_pos, &
|
||||
nonSchmid_neg
|
||||
integer :: &
|
||||
totalNslip, & !< total number of active slip system
|
||||
of_debug = 0
|
||||
integer, allocatable, dimension(:) :: &
|
||||
Nslip !< number of active slip systems for each family
|
||||
integer(kind(undefined_ID)), allocatable, dimension(:) :: &
|
||||
outputID !< ID of each post result output
|
||||
end type tParameters
|
||||
|
||||
type :: tKinehardeningState
|
||||
real(pReal), pointer, dimension(:,:) :: & !< vectors along NipcMyInstance
|
||||
crss, & !< critical resolved stress
|
||||
crss_back, & !< critical resolved back stress
|
||||
sense, & !< sense of acting shear stress (-1 or +1)
|
||||
chi0, & !< backstress at last switch of stress sense
|
||||
gamma0, & !< accumulated shear at last switch of stress sense
|
||||
accshear !< accumulated (absolute) shear
|
||||
end type tKinehardeningState
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! containers for parameters and state
|
||||
type(tParameters), allocatable, dimension(:) :: param
|
||||
type(tKinehardeningState), allocatable, dimension(:) :: &
|
||||
dotState, &
|
||||
deltaState, &
|
||||
state
|
||||
|
||||
public :: &
|
||||
plastic_kinehardening_init, &
|
||||
plastic_kinehardening_LpAndItsTangent, &
|
||||
plastic_kinehardening_dotState, &
|
||||
plastic_kinehardening_deltaState, &
|
||||
plastic_kinehardening_results
|
||||
|
||||
contains
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief module initialization
|
||||
!> @details reads in material parameters, allocates arrays, and does sanity checks
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_kinehardening_init
|
||||
|
||||
integer :: &
|
||||
Ninstance, &
|
||||
p, i, o, &
|
||||
NipcMyPhase, &
|
||||
sizeState, sizeDeltaState, sizeDotState, &
|
||||
startIndex, endIndex
|
||||
|
||||
integer(kind(undefined_ID)) :: &
|
||||
outputID
|
||||
|
||||
character(len=pStringLen) :: &
|
||||
extmsg = ''
|
||||
character(len=pStringLen), dimension(:), allocatable :: &
|
||||
outputs
|
||||
|
||||
write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_KINEHARDENING_label//' init -+>>>'
|
||||
|
||||
Ninstance = count(phase_plasticity == PLASTICITY_KINEHARDENING_ID)
|
||||
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) &
|
||||
write(6,'(a16,1x,i5,/)') '# instances:',Ninstance
|
||||
|
||||
allocate(param(Ninstance))
|
||||
allocate(state(Ninstance))
|
||||
allocate(dotState(Ninstance))
|
||||
allocate(deltaState(Ninstance))
|
||||
|
||||
do p = 1, size(phase_plasticityInstance)
|
||||
if (phase_plasticity(p) /= PLASTICITY_KINEHARDENING_ID) cycle
|
||||
associate(prm => param(phase_plasticityInstance(p)), &
|
||||
dot => dotState(phase_plasticityInstance(p)), &
|
||||
dlt => deltaState(phase_plasticityInstance(p)), &
|
||||
stt => state(phase_plasticityInstance(p)),&
|
||||
config => config_phase(p))
|
||||
|
||||
#ifdef DEBUG
|
||||
if (p==material_phaseAt(debug_g,debug_e)) then
|
||||
prm%of_debug = material_phasememberAt(debug_g,debug_i,debug_e)
|
||||
endif
|
||||
#endif
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! optional parameters that need to be defined
|
||||
prm%aTolResistance = config%getFloat('atol_resistance',defaultVal=1.0_pReal)
|
||||
prm%aTolShear = config%getFloat('atol_shear', defaultVal=1.0e-6_pReal)
|
||||
|
||||
! sanity checks
|
||||
if (prm%aTolResistance <= 0.0_pReal) extmsg = trim(extmsg)//' aTolresistance'
|
||||
if (prm%aTolShear <= 0.0_pReal) extmsg = trim(extmsg)//' aTolShear'
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! slip related parameters
|
||||
prm%Nslip = config%getInts('nslip',defaultVal=emptyIntArray)
|
||||
prm%totalNslip = sum(prm%Nslip)
|
||||
slipActive: if (prm%totalNslip > 0) then
|
||||
prm%Schmid = lattice_SchmidMatrix_slip(prm%Nslip,config%getString('lattice_structure'),&
|
||||
config%getFloat('c/a',defaultVal=0.0_pReal))
|
||||
|
||||
if(trim(config%getString('lattice_structure')) == 'bcc') then
|
||||
prm%nonSchmidCoeff = config%getFloats('nonschmid_coefficients',&
|
||||
defaultVal = emptyRealArray)
|
||||
prm%nonSchmid_pos = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,+1)
|
||||
prm%nonSchmid_neg = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,-1)
|
||||
else
|
||||
prm%nonSchmid_pos = prm%Schmid
|
||||
prm%nonSchmid_neg = prm%Schmid
|
||||
endif
|
||||
prm%interaction_SlipSlip = lattice_interaction_SlipBySlip(prm%Nslip, &
|
||||
config%getFloats('interaction_slipslip'), &
|
||||
config%getString('lattice_structure'))
|
||||
|
||||
prm%crss0 = config%getFloats('crss0', requiredSize=size(prm%Nslip))
|
||||
prm%tau1 = config%getFloats('tau1', requiredSize=size(prm%Nslip))
|
||||
prm%tau1_b = config%getFloats('tau1_b', requiredSize=size(prm%Nslip))
|
||||
prm%theta0 = config%getFloats('theta0', requiredSize=size(prm%Nslip))
|
||||
prm%theta1 = config%getFloats('theta1', requiredSize=size(prm%Nslip))
|
||||
prm%theta0_b = config%getFloats('theta0_b', requiredSize=size(prm%Nslip))
|
||||
prm%theta1_b = config%getFloats('theta1_b', requiredSize=size(prm%Nslip))
|
||||
|
||||
prm%gdot0 = config%getFloat('gdot0')
|
||||
prm%n = config%getFloat('n_slip')
|
||||
|
||||
! expand: family => system
|
||||
prm%crss0 = math_expand(prm%crss0, prm%Nslip)
|
||||
prm%tau1 = math_expand(prm%tau1, prm%Nslip)
|
||||
prm%tau1_b = math_expand(prm%tau1_b, prm%Nslip)
|
||||
prm%theta0 = math_expand(prm%theta0, prm%Nslip)
|
||||
prm%theta1 = math_expand(prm%theta1, prm%Nslip)
|
||||
prm%theta0_b = math_expand(prm%theta0_b,prm%Nslip)
|
||||
prm%theta1_b = math_expand(prm%theta1_b,prm%Nslip)
|
||||
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! sanity checks
|
||||
if ( prm%gdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0'
|
||||
if ( prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' n_slip'
|
||||
if (any(prm%crss0 <= 0.0_pReal)) extmsg = trim(extmsg)//' crss0'
|
||||
if (any(prm%tau1 <= 0.0_pReal)) extmsg = trim(extmsg)//' tau1'
|
||||
if (any(prm%tau1_b <= 0.0_pReal)) extmsg = trim(extmsg)//' tau1_b'
|
||||
|
||||
!ToDo: Any sensible checks for theta?
|
||||
|
||||
endif slipActive
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! exit if any parameter is out of range
|
||||
if (extmsg /= '') &
|
||||
call IO_error(211,ext_msg=trim(extmsg)//'('//PLASTICITY_KINEHARDENING_label//')')
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! output pararameters
|
||||
outputs = config%getStrings('(output)',defaultVal=emptyStringArray)
|
||||
allocate(prm%outputID(0))
|
||||
do i=1, size(outputs)
|
||||
outputID = undefined_ID
|
||||
select case(outputs(i))
|
||||
|
||||
case ('resistance')
|
||||
outputID = merge(crss_ID,undefined_ID,prm%totalNslip>0)
|
||||
case ('accumulatedshear')
|
||||
outputID = merge(accshear_ID,undefined_ID,prm%totalNslip>0)
|
||||
case ('shearrate')
|
||||
outputID = merge(shearrate_ID,undefined_ID,prm%totalNslip>0)
|
||||
case ('resolvedstress')
|
||||
outputID = merge(resolvedstress_ID,undefined_ID,prm%totalNslip>0)
|
||||
case ('backstress')
|
||||
outputID = merge(crss_back_ID,undefined_ID,prm%totalNslip>0)
|
||||
case ('sense')
|
||||
outputID = merge(sense_ID,undefined_ID,prm%totalNslip>0)
|
||||
case ('chi0')
|
||||
outputID = merge(chi0_ID,undefined_ID,prm%totalNslip>0)
|
||||
case ('gamma0')
|
||||
outputID = merge(gamma0_ID,undefined_ID,prm%totalNslip>0)
|
||||
|
||||
end select
|
||||
|
||||
if (outputID /= undefined_ID) then
|
||||
prm%outputID = [prm%outputID , outputID]
|
||||
endif
|
||||
|
||||
enddo
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! allocate state arrays
|
||||
NipcMyPhase = count(material_phaseAt == p) * discretization_nIP
|
||||
sizeDotState = size(['crss ','crss_back', 'accshear ']) * prm%totalNslip
|
||||
sizeDeltaState = size(['sense ', 'chi0 ', 'gamma0' ]) * prm%totalNslip
|
||||
sizeState = sizeDotState + sizeDeltaState
|
||||
|
||||
call material_allocatePlasticState(p,NipcMyPhase,sizeState,sizeDotState,sizeDeltaState)
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! locally defined state aliases and initialization of state0 and aTolState
|
||||
startIndex = 1
|
||||
endIndex = prm%totalNslip
|
||||
stt%crss => plasticState(p)%state (startIndex:endIndex,:)
|
||||
stt%crss = spread(prm%crss0, 2, NipcMyPhase)
|
||||
dot%crss => plasticState(p)%dotState(startIndex:endIndex,:)
|
||||
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
|
||||
|
||||
startIndex = endIndex + 1
|
||||
endIndex = endIndex + prm%totalNslip
|
||||
stt%crss_back => plasticState(p)%state (startIndex:endIndex,:)
|
||||
dot%crss_back => plasticState(p)%dotState(startIndex:endIndex,:)
|
||||
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
|
||||
|
||||
startIndex = endIndex + 1
|
||||
endIndex = endIndex + prm%totalNslip
|
||||
stt%accshear => plasticState(p)%state (startIndex:endIndex,:)
|
||||
dot%accshear => plasticState(p)%dotState(startIndex:endIndex,:)
|
||||
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolShear
|
||||
! global alias
|
||||
plasticState(p)%slipRate => plasticState(p)%dotState(startIndex:endIndex,:)
|
||||
plasticState(p)%accumulatedSlip => plasticState(p)%state(startIndex:endIndex,:)
|
||||
|
||||
o = plasticState(p)%offsetDeltaState
|
||||
startIndex = endIndex + 1
|
||||
endIndex = endIndex + prm%totalNslip
|
||||
stt%sense => plasticState(p)%state (startIndex :endIndex ,:)
|
||||
dlt%sense => plasticState(p)%deltaState(startIndex-o:endIndex-o,:)
|
||||
|
||||
startIndex = endIndex + 1
|
||||
endIndex = endIndex + prm%totalNslip
|
||||
stt%chi0 => plasticState(p)%state (startIndex :endIndex ,:)
|
||||
dlt%chi0 => plasticState(p)%deltaState(startIndex-o:endIndex-o,:)
|
||||
|
||||
startIndex = endIndex + 1
|
||||
endIndex = endIndex + prm%totalNslip
|
||||
stt%gamma0 => plasticState(p)%state (startIndex :endIndex ,:)
|
||||
dlt%gamma0 => plasticState(p)%deltaState(startIndex-o:endIndex-o,:)
|
||||
|
||||
plasticState(p)%state0 = plasticState(p)%state ! ToDo: this could be done centrally
|
||||
|
||||
end associate
|
||||
|
||||
enddo
|
||||
|
||||
end subroutine plastic_kinehardening_init
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates plastic velocity gradient and its tangent
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
pure subroutine plastic_kinehardening_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
|
||||
|
||||
real(pReal), dimension(3,3), intent(out) :: &
|
||||
Lp !< plastic velocity gradient
|
||||
real(pReal), dimension(3,3,3,3), intent(out) :: &
|
||||
dLp_dMp !< derivative of Lp with respect to the Mandel stress
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
integer :: &
|
||||
i,k,l,m,n
|
||||
real(pReal), dimension(param(instance)%totalNslip) :: &
|
||||
gdot_pos,gdot_neg, &
|
||||
dgdot_dtau_pos,dgdot_dtau_neg
|
||||
|
||||
Lp = 0.0_pReal
|
||||
dLp_dMp = 0.0_pReal
|
||||
|
||||
associate(prm => param(instance))
|
||||
|
||||
call kinetics(Mp,instance,of,gdot_pos,gdot_neg,dgdot_dtau_pos,dgdot_dtau_neg)
|
||||
|
||||
do i = 1, prm%totalNslip
|
||||
Lp = Lp + (gdot_pos(i)+gdot_neg(i))*prm%Schmid(1:3,1:3,i)
|
||||
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
|
||||
dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) &
|
||||
+ dgdot_dtau_pos(i) * prm%Schmid(k,l,i) * prm%nonSchmid_pos(m,n,i) &
|
||||
+ dgdot_dtau_neg(i) * prm%Schmid(k,l,i) * prm%nonSchmid_neg(m,n,i)
|
||||
enddo
|
||||
|
||||
end associate
|
||||
|
||||
end subroutine plastic_kinehardening_LpAndItsTangent
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates the rate of change of microstructure
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_kinehardening_dotState(Mp,instance,of)
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
real(pReal) :: &
|
||||
sumGamma
|
||||
real(pReal), dimension(param(instance)%totalNslip) :: &
|
||||
gdot_pos,gdot_neg
|
||||
|
||||
|
||||
associate(prm => param(instance), stt => state(instance), dot => dotState(instance))
|
||||
|
||||
call kinetics(Mp,instance,of,gdot_pos,gdot_neg)
|
||||
dot%accshear(:,of) = abs(gdot_pos+gdot_neg)
|
||||
sumGamma = sum(stt%accshear(:,of))
|
||||
|
||||
|
||||
dot%crss(:,of) = matmul(prm%interaction_SlipSlip,dot%accshear(:,of)) &
|
||||
* ( prm%theta1 &
|
||||
+ (prm%theta0 - prm%theta1 + prm%theta0*prm%theta1*sumGamma/prm%tau1) &
|
||||
* exp(-sumGamma*prm%theta0/prm%tau1) &
|
||||
)
|
||||
|
||||
dot%crss_back(:,of) = stt%sense(:,of)*dot%accshear(:,of) * &
|
||||
( prm%theta1_b + &
|
||||
(prm%theta0_b - prm%theta1_b &
|
||||
+ prm%theta0_b*prm%theta1_b/(prm%tau1_b+stt%chi0(:,of))*(stt%accshear(:,of)-stt%gamma0(:,of))&
|
||||
) *exp(-(stt%accshear(:,of)-stt%gamma0(:,of)) *prm%theta0_b/(prm%tau1_b+stt%chi0(:,of))) &
|
||||
)
|
||||
|
||||
end associate
|
||||
|
||||
end subroutine plastic_kinehardening_dotState
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates (instantaneous) incremental change of microstructure
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_kinehardening_deltaState(Mp,instance,of)
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
real(pReal), dimension(param(instance)%totalNslip) :: &
|
||||
gdot_pos,gdot_neg, &
|
||||
sense
|
||||
|
||||
associate(prm => param(instance), stt => state(instance), dlt => deltaState(instance))
|
||||
|
||||
call kinetics(Mp,instance,of,gdot_pos,gdot_neg)
|
||||
sense = merge(state(instance)%sense(:,of), & ! keep existing...
|
||||
sign(1.0_pReal,gdot_pos+gdot_neg), & ! ...or have a defined
|
||||
dEq0(gdot_pos+gdot_neg,1e-10_pReal)) ! current sense of shear direction
|
||||
|
||||
#ifdef DEBUG
|
||||
if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0 &
|
||||
.and. (of == prm%of_debug &
|
||||
.or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0)) then
|
||||
write(6,'(a)') '======= kinehardening delta state ======='
|
||||
write(6,*) sense,state(instance)%sense(:,of)
|
||||
endif
|
||||
#endif
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! switch in sense of shear?
|
||||
where(dNeq(sense,stt%sense(:,of),0.1_pReal))
|
||||
dlt%sense (:,of) = sense - stt%sense(:,of) ! switch sense
|
||||
dlt%chi0 (:,of) = abs(stt%crss_back(:,of)) - stt%chi0(:,of) ! remember current backstress magnitude
|
||||
dlt%gamma0(:,of) = stt%accshear(:,of) - stt%gamma0(:,of) ! remember current accumulated shear
|
||||
else where
|
||||
dlt%sense (:,of) = 0.0_pReal
|
||||
dlt%chi0 (:,of) = 0.0_pReal
|
||||
dlt%gamma0(:,of) = 0.0_pReal
|
||||
end where
|
||||
|
||||
end associate
|
||||
|
||||
end subroutine plastic_kinehardening_deltaState
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief writes results to HDF5 output file
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_kinehardening_results(instance,group)
|
||||
|
||||
integer, intent(in) :: instance
|
||||
character(len=*) :: group
|
||||
integer :: o
|
||||
|
||||
associate(prm => param(instance), stt => state(instance))
|
||||
outputsLoop: do o = 1,size(prm%outputID)
|
||||
select case(prm%outputID(o))
|
||||
case (crss_ID)
|
||||
call results_writeDataset(group,stt%crss,'xi_sl', &
|
||||
'resistance against plastic slip','Pa')
|
||||
|
||||
case(crss_back_ID)
|
||||
call results_writeDataset(group,stt%crss_back,'tau_back', &
|
||||
'back stress against plastic slip','Pa')
|
||||
|
||||
case (sense_ID)
|
||||
call results_writeDataset(group,stt%sense,'sense_of_shear','tbd','1')
|
||||
|
||||
case (chi0_ID)
|
||||
call results_writeDataset(group,stt%chi0,'chi0','tbd','Pa')
|
||||
|
||||
case (gamma0_ID)
|
||||
call results_writeDataset(group,stt%gamma0,'gamma0','tbd','1')
|
||||
|
||||
case (accshear_ID)
|
||||
call results_writeDataset(group,stt%accshear,'gamma_sl', &
|
||||
'plastic shear','1')
|
||||
|
||||
end select
|
||||
enddo outputsLoop
|
||||
end associate
|
||||
|
||||
end subroutine plastic_kinehardening_results
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates shear rates on slip systems and derivatives with respect to resolved stress
|
||||
!> @details: Shear rates are calculated only optionally.
|
||||
! NOTE: Against the common convention, the result (i.e. intent(out)) variables are the last to
|
||||
! have the optional arguments at the end
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
pure subroutine kinetics(Mp,instance,of, &
|
||||
gdot_pos,gdot_neg,dgdot_dtau_pos,dgdot_dtau_neg)
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
real(pReal), intent(out), dimension(param(instance)%totalNslip) :: &
|
||||
gdot_pos, &
|
||||
gdot_neg
|
||||
real(pReal), intent(out), optional, dimension(param(instance)%totalNslip) :: &
|
||||
dgdot_dtau_pos, &
|
||||
dgdot_dtau_neg
|
||||
|
||||
real(pReal), dimension(param(instance)%totalNslip) :: &
|
||||
tau_pos, &
|
||||
tau_neg
|
||||
integer :: i
|
||||
logical :: nonSchmidActive
|
||||
|
||||
associate(prm => param(instance), stt => state(instance))
|
||||
|
||||
nonSchmidActive = size(prm%nonSchmidCoeff) > 0
|
||||
|
||||
do i = 1, prm%totalNslip
|
||||
tau_pos(i) = math_mul33xx33(Mp,prm%nonSchmid_pos(1:3,1:3,i)) - stt%crss_back(i,of)
|
||||
tau_neg(i) = merge(math_mul33xx33(Mp,prm%nonSchmid_neg(1:3,1:3,i)) - stt%crss_back(i,of), &
|
||||
0.0_pReal, nonSchmidActive)
|
||||
enddo
|
||||
|
||||
where(dNeq0(tau_pos))
|
||||
gdot_pos = prm%gdot0 * merge(0.5_pReal,1.0_pReal, nonSchmidActive) & ! 1/2 if non-Schmid active
|
||||
* sign(abs(tau_pos/stt%crss(:,of))**prm%n, tau_pos)
|
||||
else where
|
||||
gdot_pos = 0.0_pReal
|
||||
end where
|
||||
|
||||
where(dNeq0(tau_neg))
|
||||
gdot_neg = prm%gdot0 * 0.5_pReal & ! only used if non-Schmid active, always 1/2
|
||||
* sign(abs(tau_neg/stt%crss(:,of))**prm%n, tau_neg)
|
||||
else where
|
||||
gdot_neg = 0.0_pReal
|
||||
end where
|
||||
|
||||
if (present(dgdot_dtau_pos)) then
|
||||
where(dNeq0(gdot_pos))
|
||||
dgdot_dtau_pos = gdot_pos*prm%n/tau_pos
|
||||
else where
|
||||
dgdot_dtau_pos = 0.0_pReal
|
||||
end where
|
||||
endif
|
||||
if (present(dgdot_dtau_neg)) then
|
||||
where(dNeq0(gdot_neg))
|
||||
dgdot_dtau_neg = gdot_neg*prm%n/tau_neg
|
||||
else where
|
||||
dgdot_dtau_neg = 0.0_pReal
|
||||
end where
|
||||
endif
|
||||
end associate
|
||||
|
||||
end subroutine kinetics
|
||||
|
||||
end module plastic_kinehardening
|
||||
|
|
@ -1,614 +0,0 @@
|
|||
!--------------------------------------------------------------------------------------------------
|
||||
!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH
|
||||
!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
|
||||
!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
|
||||
!> @brief phenomenological crystal plasticity formulation using a powerlaw fitting
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
module plastic_phenopowerlaw
|
||||
use prec
|
||||
use debug
|
||||
use math
|
||||
use IO
|
||||
use material
|
||||
use config
|
||||
use lattice
|
||||
use discretization
|
||||
use results
|
||||
|
||||
implicit none
|
||||
private
|
||||
|
||||
enum, bind(c)
|
||||
enumerator :: &
|
||||
undefined_ID, &
|
||||
resistance_slip_ID, &
|
||||
accumulatedshear_slip_ID, &
|
||||
shearrate_slip_ID, &
|
||||
resolvedstress_slip_ID, &
|
||||
resistance_twin_ID, &
|
||||
accumulatedshear_twin_ID, &
|
||||
shearrate_twin_ID, &
|
||||
resolvedstress_twin_ID
|
||||
end enum
|
||||
|
||||
type :: tParameters
|
||||
real(pReal) :: &
|
||||
gdot0_slip, & !< reference shear strain rate for slip
|
||||
gdot0_twin, & !< reference shear strain rate for twin
|
||||
n_slip, & !< stress exponent for slip
|
||||
n_twin, & !< stress exponent for twin
|
||||
spr, & !< push-up factor for slip saturation due to twinning
|
||||
twinB, &
|
||||
twinC, &
|
||||
twinD, &
|
||||
twinE, &
|
||||
h0_SlipSlip, & !< reference hardening slip - slip
|
||||
h0_TwinSlip, & !< reference hardening twin - slip
|
||||
h0_TwinTwin, & !< reference hardening twin - twin
|
||||
a_slip, &
|
||||
aTolResistance, & !< absolute tolerance for integration of xi
|
||||
aTolShear, & !< absolute tolerance for integration of gamma
|
||||
aTolTwinfrac !< absolute tolerance for integration of f
|
||||
real(pReal), allocatable, dimension(:) :: &
|
||||
xi_slip_0, & !< initial critical shear stress for slip
|
||||
xi_twin_0, & !< initial critical shear stress for twin
|
||||
xi_slip_sat, & !< maximum critical shear stress for slip
|
||||
nonSchmidCoeff, &
|
||||
H_int, & !< per family hardening activity (optional)
|
||||
gamma_twin_char !< characteristic shear for twins
|
||||
real(pReal), allocatable, dimension(:,:) :: &
|
||||
interaction_SlipSlip, & !< slip resistance from slip activity
|
||||
interaction_SlipTwin, & !< slip resistance from twin activity
|
||||
interaction_TwinSlip, & !< twin resistance from slip activity
|
||||
interaction_TwinTwin !< twin resistance from twin activity
|
||||
real(pReal), allocatable, dimension(:,:,:) :: &
|
||||
Schmid_slip, &
|
||||
Schmid_twin, &
|
||||
nonSchmid_pos, &
|
||||
nonSchmid_neg
|
||||
integer :: &
|
||||
totalNslip, & !< total number of active slip system
|
||||
totalNtwin !< total number of active twin systems
|
||||
integer, allocatable, dimension(:) :: &
|
||||
Nslip, & !< number of active slip systems for each family
|
||||
Ntwin !< number of active twin systems for each family
|
||||
integer(kind(undefined_ID)), allocatable, dimension(:) :: &
|
||||
outputID !< ID of each post result output
|
||||
end type tParameters
|
||||
|
||||
type :: tPhenopowerlawState
|
||||
real(pReal), pointer, dimension(:,:) :: &
|
||||
xi_slip, &
|
||||
xi_twin, &
|
||||
gamma_slip, &
|
||||
gamma_twin
|
||||
end type tPhenopowerlawState
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! containers for parameters and state
|
||||
type(tParameters), allocatable, dimension(:) :: param
|
||||
type(tPhenopowerlawState), allocatable, dimension(:) :: &
|
||||
dotState, &
|
||||
state
|
||||
|
||||
public :: &
|
||||
plastic_phenopowerlaw_init, &
|
||||
plastic_phenopowerlaw_LpAndItsTangent, &
|
||||
plastic_phenopowerlaw_dotState, &
|
||||
plastic_phenopowerlaw_results
|
||||
|
||||
contains
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief module initialization
|
||||
!> @details reads in material parameters, allocates arrays, and does sanity checks
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_phenopowerlaw_init
|
||||
|
||||
integer :: &
|
||||
Ninstance, &
|
||||
p, i, &
|
||||
NipcMyPhase, outputSize, &
|
||||
sizeState, sizeDotState, &
|
||||
startIndex, endIndex
|
||||
|
||||
integer(kind(undefined_ID)) :: &
|
||||
outputID
|
||||
|
||||
character(len=pStringLen) :: &
|
||||
extmsg = ''
|
||||
character(len=pStringLen), dimension(:), allocatable :: &
|
||||
outputs
|
||||
|
||||
write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_PHENOPOWERLAW_label//' init -+>>>'
|
||||
|
||||
Ninstance = count(phase_plasticity == PLASTICITY_PHENOPOWERLAW_ID)
|
||||
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) &
|
||||
write(6,'(a16,1x,i5,/)') '# instances:',Ninstance
|
||||
|
||||
allocate(param(Ninstance))
|
||||
allocate(state(Ninstance))
|
||||
allocate(dotState(Ninstance))
|
||||
|
||||
do p = 1, size(phase_plasticity)
|
||||
if (phase_plasticity(p) /= PLASTICITY_PHENOPOWERLAW_ID) cycle
|
||||
associate(prm => param(phase_plasticityInstance(p)), &
|
||||
dot => dotState(phase_plasticityInstance(p)), &
|
||||
stt => state(phase_plasticityInstance(p)), &
|
||||
config => config_phase(p))
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! optional parameters that need to be defined
|
||||
prm%twinB = config%getFloat('twin_b',defaultVal=1.0_pReal)
|
||||
prm%twinC = config%getFloat('twin_c',defaultVal=0.0_pReal)
|
||||
prm%twinD = config%getFloat('twin_d',defaultVal=0.0_pReal)
|
||||
prm%twinE = config%getFloat('twin_e',defaultVal=0.0_pReal)
|
||||
|
||||
prm%aTolResistance = config%getFloat('atol_resistance',defaultVal=1.0_pReal)
|
||||
prm%aTolShear = config%getFloat('atol_shear', defaultVal=1.0e-6_pReal)
|
||||
prm%aTolTwinfrac = config%getFloat('atol_twinfrac', defaultVal=1.0e-6_pReal)
|
||||
|
||||
! sanity checks
|
||||
if (prm%aTolResistance <= 0.0_pReal) extmsg = trim(extmsg)//' aTolresistance'
|
||||
if (prm%aTolShear <= 0.0_pReal) extmsg = trim(extmsg)//' aTolShear'
|
||||
if (prm%aTolTwinfrac <= 0.0_pReal) extmsg = trim(extmsg)//' atoltwinfrac'
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! slip related parameters
|
||||
prm%Nslip = config%getInts('nslip',defaultVal=emptyIntArray)
|
||||
prm%totalNslip = sum(prm%Nslip)
|
||||
slipActive: if (prm%totalNslip > 0) then
|
||||
prm%Schmid_slip = lattice_SchmidMatrix_slip(prm%Nslip,config%getString('lattice_structure'),&
|
||||
config%getFloat('c/a',defaultVal=0.0_pReal))
|
||||
|
||||
if(trim(config%getString('lattice_structure')) == 'bcc') then
|
||||
prm%nonSchmidCoeff = config%getFloats('nonschmid_coefficients',&
|
||||
defaultVal = emptyRealArray)
|
||||
prm%nonSchmid_pos = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,+1)
|
||||
prm%nonSchmid_neg = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,-1)
|
||||
else
|
||||
allocate(prm%nonSchmidCoeff(0))
|
||||
prm%nonSchmid_pos = prm%Schmid_slip
|
||||
prm%nonSchmid_neg = prm%Schmid_slip
|
||||
endif
|
||||
prm%interaction_SlipSlip = lattice_interaction_SlipBySlip(prm%Nslip, &
|
||||
config%getFloats('interaction_slipslip'), &
|
||||
config%getString('lattice_structure'))
|
||||
|
||||
prm%xi_slip_0 = config%getFloats('tau0_slip', requiredSize=size(prm%Nslip))
|
||||
prm%xi_slip_sat = config%getFloats('tausat_slip', requiredSize=size(prm%Nslip))
|
||||
prm%H_int = config%getFloats('h_int', requiredSize=size(prm%Nslip), &
|
||||
defaultVal=[(0.0_pReal,i=1,size(prm%Nslip))])
|
||||
|
||||
prm%gdot0_slip = config%getFloat('gdot0_slip')
|
||||
prm%n_slip = config%getFloat('n_slip')
|
||||
prm%a_slip = config%getFloat('a_slip')
|
||||
prm%h0_SlipSlip = config%getFloat('h0_slipslip')
|
||||
|
||||
! expand: family => system
|
||||
prm%xi_slip_0 = math_expand(prm%xi_slip_0, prm%Nslip)
|
||||
prm%xi_slip_sat = math_expand(prm%xi_slip_sat,prm%Nslip)
|
||||
prm%H_int = math_expand(prm%H_int, prm%Nslip)
|
||||
|
||||
! sanity checks
|
||||
if ( prm%gdot0_slip <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0_slip'
|
||||
if ( prm%a_slip <= 0.0_pReal) extmsg = trim(extmsg)//' a_slip'
|
||||
if ( prm%n_slip <= 0.0_pReal) extmsg = trim(extmsg)//' n_slip'
|
||||
if (any(prm%xi_slip_0 <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_slip_0'
|
||||
if (any(prm%xi_slip_sat <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_slip_sat'
|
||||
else slipActive
|
||||
allocate(prm%interaction_SlipSlip(0,0))
|
||||
allocate(prm%xi_slip_0(0))
|
||||
endif slipActive
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! twin related parameters
|
||||
prm%Ntwin = config%getInts('ntwin', defaultVal=emptyIntArray)
|
||||
prm%totalNtwin = sum(prm%Ntwin)
|
||||
twinActive: if (prm%totalNtwin > 0) then
|
||||
prm%Schmid_twin = lattice_SchmidMatrix_twin(prm%Ntwin,config%getString('lattice_structure'),&
|
||||
config%getFloat('c/a',defaultVal=0.0_pReal))
|
||||
prm%interaction_TwinTwin = lattice_interaction_TwinByTwin(prm%Ntwin,&
|
||||
config%getFloats('interaction_twintwin'), &
|
||||
config%getString('lattice_structure'))
|
||||
prm%gamma_twin_char = lattice_characteristicShear_twin(prm%Ntwin,config%getString('lattice_structure'),&
|
||||
config%getFloat('c/a'))
|
||||
|
||||
prm%xi_twin_0 = config%getFloats('tau0_twin',requiredSize=size(prm%Ntwin))
|
||||
|
||||
prm%gdot0_twin = config%getFloat('gdot0_twin')
|
||||
prm%n_twin = config%getFloat('n_twin')
|
||||
prm%spr = config%getFloat('s_pr')
|
||||
prm%h0_TwinTwin = config%getFloat('h0_twintwin')
|
||||
|
||||
! expand: family => system
|
||||
prm%xi_twin_0 = math_expand(prm%xi_twin_0, prm%Ntwin)
|
||||
|
||||
! sanity checks
|
||||
if (prm%gdot0_twin <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0_twin'
|
||||
if (prm%n_twin <= 0.0_pReal) extmsg = trim(extmsg)//' n_twin'
|
||||
else twinActive
|
||||
allocate(prm%interaction_TwinTwin(0,0))
|
||||
allocate(prm%xi_twin_0(0))
|
||||
allocate(prm%gamma_twin_char(0))
|
||||
endif twinActive
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! slip-twin related parameters
|
||||
slipAndTwinActive: if (prm%totalNslip > 0 .and. prm%totalNtwin > 0) then
|
||||
prm%h0_TwinSlip = config%getFloat('h0_twinslip')
|
||||
prm%interaction_SlipTwin = lattice_interaction_SlipByTwin(prm%Nslip,prm%Ntwin,&
|
||||
config%getFloats('interaction_sliptwin'), &
|
||||
config%getString('lattice_structure'))
|
||||
prm%interaction_TwinSlip = lattice_interaction_TwinBySlip(prm%Ntwin,prm%Nslip,&
|
||||
config%getFloats('interaction_twinslip'), &
|
||||
config%getString('lattice_structure'))
|
||||
else slipAndTwinActive
|
||||
allocate(prm%interaction_SlipTwin(prm%TotalNslip,prm%TotalNtwin)) ! at least one dimension is 0
|
||||
allocate(prm%interaction_TwinSlip(prm%TotalNtwin,prm%TotalNslip)) ! at least one dimension is 0
|
||||
prm%h0_TwinSlip = 0.0_pReal
|
||||
endif slipAndTwinActive
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! exit if any parameter is out of range
|
||||
if (extmsg /= '') &
|
||||
call IO_error(211,ext_msg=trim(extmsg)//'('//PLASTICITY_PHENOPOWERLAW_label//')')
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! output pararameters
|
||||
outputs = config%getStrings('(output)',defaultVal=emptyStringArray)
|
||||
allocate(prm%outputID(0))
|
||||
do i=1, size(outputs)
|
||||
outputID = undefined_ID
|
||||
select case(outputs(i))
|
||||
|
||||
case ('resistance_slip')
|
||||
outputID = merge(resistance_slip_ID,undefined_ID,prm%totalNslip>0)
|
||||
outputSize = prm%totalNslip
|
||||
case ('accumulatedshear_slip')
|
||||
outputID = merge(accumulatedshear_slip_ID,undefined_ID,prm%totalNslip>0)
|
||||
outputSize = prm%totalNslip
|
||||
case ('shearrate_slip')
|
||||
outputID = merge(shearrate_slip_ID,undefined_ID,prm%totalNslip>0)
|
||||
outputSize = prm%totalNslip
|
||||
case ('resolvedstress_slip')
|
||||
outputID = merge(resolvedstress_slip_ID,undefined_ID,prm%totalNslip>0)
|
||||
outputSize = prm%totalNslip
|
||||
|
||||
case ('resistance_twin')
|
||||
outputID = merge(resistance_twin_ID,undefined_ID,prm%totalNtwin>0)
|
||||
outputSize = prm%totalNtwin
|
||||
case ('accumulatedshear_twin')
|
||||
outputID = merge(accumulatedshear_twin_ID,undefined_ID,prm%totalNtwin>0)
|
||||
outputSize = prm%totalNtwin
|
||||
case ('shearrate_twin')
|
||||
outputID = merge(shearrate_twin_ID,undefined_ID,prm%totalNtwin>0)
|
||||
outputSize = prm%totalNtwin
|
||||
case ('resolvedstress_twin')
|
||||
outputID = merge(resolvedstress_twin_ID,undefined_ID,prm%totalNtwin>0)
|
||||
outputSize = prm%totalNtwin
|
||||
|
||||
end select
|
||||
|
||||
if (outputID /= undefined_ID) then
|
||||
prm%outputID = [prm%outputID, outputID]
|
||||
endif
|
||||
|
||||
enddo
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! allocate state arrays
|
||||
NipcMyPhase = count(material_phaseAt == p) * discretization_nIP
|
||||
sizeDotState = size(['tau_slip ','gamma_slip']) * prm%totalNslip &
|
||||
+ size(['tau_twin ','gamma_twin']) * prm%totalNtwin
|
||||
sizeState = sizeDotState
|
||||
|
||||
call material_allocatePlasticState(p,NipcMyPhase,sizeState,sizeDotState,0)
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! locally defined state aliases and initialization of state0 and aTolState
|
||||
startIndex = 1
|
||||
endIndex = prm%totalNslip
|
||||
stt%xi_slip => plasticState(p)%state (startIndex:endIndex,:)
|
||||
stt%xi_slip = spread(prm%xi_slip_0, 2, NipcMyPhase)
|
||||
dot%xi_slip => plasticState(p)%dotState(startIndex:endIndex,:)
|
||||
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
|
||||
|
||||
startIndex = endIndex + 1
|
||||
endIndex = endIndex + prm%totalNtwin
|
||||
stt%xi_twin => plasticState(p)%state (startIndex:endIndex,:)
|
||||
stt%xi_twin = spread(prm%xi_twin_0, 2, NipcMyPhase)
|
||||
dot%xi_twin => plasticState(p)%dotState(startIndex:endIndex,:)
|
||||
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
|
||||
|
||||
startIndex = endIndex + 1
|
||||
endIndex = endIndex + prm%totalNslip
|
||||
stt%gamma_slip => plasticState(p)%state (startIndex:endIndex,:)
|
||||
dot%gamma_slip => plasticState(p)%dotState(startIndex:endIndex,:)
|
||||
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolShear
|
||||
! global alias
|
||||
plasticState(p)%slipRate => plasticState(p)%dotState(startIndex:endIndex,:)
|
||||
plasticState(p)%accumulatedSlip => plasticState(p)%state(startIndex:endIndex,:)
|
||||
|
||||
startIndex = endIndex + 1
|
||||
endIndex = endIndex + prm%totalNtwin
|
||||
stt%gamma_twin => plasticState(p)%state (startIndex:endIndex,:)
|
||||
dot%gamma_twin => plasticState(p)%dotState(startIndex:endIndex,:)
|
||||
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolShear
|
||||
|
||||
plasticState(p)%state0 = plasticState(p)%state ! ToDo: this could be done centrally
|
||||
|
||||
end associate
|
||||
|
||||
enddo
|
||||
|
||||
end subroutine plastic_phenopowerlaw_init
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates plastic velocity gradient and its tangent
|
||||
!> @details asummes that deformation by dislocation glide affects twinned and untwinned volume
|
||||
! equally (Taylor assumption). Twinning happens only in untwinned volume
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
pure subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
|
||||
|
||||
real(pReal), dimension(3,3), intent(out) :: &
|
||||
Lp !< plastic velocity gradient
|
||||
real(pReal), dimension(3,3,3,3), intent(out) :: &
|
||||
dLp_dMp !< derivative of Lp with respect to the Mandel stress
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
integer :: &
|
||||
i,k,l,m,n
|
||||
real(pReal), dimension(param(instance)%totalNslip) :: &
|
||||
gdot_slip_pos,gdot_slip_neg, &
|
||||
dgdot_dtauslip_pos,dgdot_dtauslip_neg
|
||||
real(pReal), dimension(param(instance)%totalNtwin) :: &
|
||||
gdot_twin,dgdot_dtautwin
|
||||
|
||||
Lp = 0.0_pReal
|
||||
dLp_dMp = 0.0_pReal
|
||||
|
||||
associate(prm => param(instance))
|
||||
|
||||
call kinetics_slip(Mp,instance,of,gdot_slip_pos,gdot_slip_neg,dgdot_dtauslip_pos,dgdot_dtauslip_neg)
|
||||
slipSystems: do i = 1, prm%totalNslip
|
||||
Lp = Lp + (gdot_slip_pos(i)+gdot_slip_neg(i))*prm%Schmid_slip(1:3,1:3,i)
|
||||
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
|
||||
dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) &
|
||||
+ dgdot_dtauslip_pos(i) * prm%Schmid_slip(k,l,i) * prm%nonSchmid_pos(m,n,i) &
|
||||
+ dgdot_dtauslip_neg(i) * prm%Schmid_slip(k,l,i) * prm%nonSchmid_neg(m,n,i)
|
||||
enddo slipSystems
|
||||
|
||||
call kinetics_twin(Mp,instance,of,gdot_twin,dgdot_dtautwin)
|
||||
twinSystems: do i = 1, prm%totalNtwin
|
||||
Lp = Lp + gdot_twin(i)*prm%Schmid_twin(1:3,1:3,i)
|
||||
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
|
||||
dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) &
|
||||
+ dgdot_dtautwin(i)*prm%Schmid_twin(k,l,i)*prm%Schmid_twin(m,n,i)
|
||||
enddo twinSystems
|
||||
|
||||
end associate
|
||||
|
||||
end subroutine plastic_phenopowerlaw_LpAndItsTangent
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief calculates the rate of change of microstructure
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_phenopowerlaw_dotState(Mp,instance,of)
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
real(pReal) :: &
|
||||
c_SlipSlip,c_TwinSlip,c_TwinTwin, &
|
||||
xi_slip_sat_offset,&
|
||||
sumGamma,sumF
|
||||
real(pReal), dimension(param(instance)%totalNslip) :: &
|
||||
left_SlipSlip,right_SlipSlip, &
|
||||
gdot_slip_pos,gdot_slip_neg
|
||||
|
||||
associate(prm => param(instance), stt => state(instance), dot => dotState(instance))
|
||||
|
||||
sumGamma = sum(stt%gamma_slip(:,of))
|
||||
sumF = sum(stt%gamma_twin(:,of)/prm%gamma_twin_char)
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! system-independent (nonlinear) prefactors to M_Xx (X influenced by x) matrices
|
||||
c_SlipSlip = prm%h0_slipslip * (1.0_pReal + prm%twinC*sumF** prm%twinB)
|
||||
c_TwinSlip = prm%h0_TwinSlip * sumGamma**prm%twinE
|
||||
c_TwinTwin = prm%h0_TwinTwin * sumF**prm%twinD
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! calculate left and right vectors
|
||||
left_SlipSlip = 1.0_pReal + prm%H_int
|
||||
xi_slip_sat_offset = prm%spr*sqrt(sumF)
|
||||
right_SlipSlip = abs(1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset)) **prm%a_slip &
|
||||
* sign(1.0_pReal,1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset))
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! shear rates
|
||||
call kinetics_slip(Mp,instance,of,gdot_slip_pos,gdot_slip_neg)
|
||||
dot%gamma_slip(:,of) = abs(gdot_slip_pos+gdot_slip_neg)
|
||||
call kinetics_twin(Mp,instance,of,dot%gamma_twin(:,of))
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! hardening
|
||||
dot%xi_slip(:,of) = c_SlipSlip * left_SlipSlip * &
|
||||
matmul(prm%interaction_SlipSlip,dot%gamma_slip(:,of)*right_SlipSlip) &
|
||||
+ matmul(prm%interaction_SlipTwin,dot%gamma_twin(:,of))
|
||||
|
||||
dot%xi_twin(:,of) = c_TwinSlip * matmul(prm%interaction_TwinSlip,dot%gamma_slip(:,of)) &
|
||||
+ c_TwinTwin * matmul(prm%interaction_TwinTwin,dot%gamma_twin(:,of))
|
||||
end associate
|
||||
|
||||
end subroutine plastic_phenopowerlaw_dotState
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief writes results to HDF5 output file
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine plastic_phenopowerlaw_results(instance,group)
|
||||
|
||||
integer, intent(in) :: instance
|
||||
character(len=*), intent(in) :: group
|
||||
|
||||
integer :: o
|
||||
|
||||
associate(prm => param(instance), stt => state(instance))
|
||||
outputsLoop: do o = 1,size(prm%outputID)
|
||||
select case(prm%outputID(o))
|
||||
|
||||
case (resistance_slip_ID)
|
||||
call results_writeDataset(group,stt%xi_slip, 'xi_sl', &
|
||||
'resistance against plastic slip','Pa')
|
||||
case (accumulatedshear_slip_ID)
|
||||
call results_writeDataset(group,stt%gamma_slip,'gamma_sl', &
|
||||
'plastic shear','1')
|
||||
|
||||
case (resistance_twin_ID)
|
||||
call results_writeDataset(group,stt%xi_twin, 'xi_tw', &
|
||||
'resistance against twinning','Pa')
|
||||
case (accumulatedshear_twin_ID)
|
||||
call results_writeDataset(group,stt%gamma_twin,'gamma_tw', &
|
||||
'twinning shear','1')
|
||||
|
||||
end select
|
||||
enddo outputsLoop
|
||||
end associate
|
||||
|
||||
end subroutine plastic_phenopowerlaw_results
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief Shear rates on slip systems and their derivatives with respect to resolved stress
|
||||
!> @details Derivatives are calculated only optionally.
|
||||
! NOTE: Against the common convention, the result (i.e. intent(out)) variables are the last to
|
||||
! have the optional arguments at the end
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
pure subroutine kinetics_slip(Mp,instance,of, &
|
||||
gdot_slip_pos,gdot_slip_neg,dgdot_dtau_slip_pos,dgdot_dtau_slip_neg)
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
real(pReal), intent(out), dimension(param(instance)%totalNslip) :: &
|
||||
gdot_slip_pos, &
|
||||
gdot_slip_neg
|
||||
real(pReal), intent(out), optional, dimension(param(instance)%totalNslip) :: &
|
||||
dgdot_dtau_slip_pos, &
|
||||
dgdot_dtau_slip_neg
|
||||
|
||||
real(pReal), dimension(param(instance)%totalNslip) :: &
|
||||
tau_slip_pos, &
|
||||
tau_slip_neg
|
||||
integer :: i
|
||||
logical :: nonSchmidActive
|
||||
|
||||
associate(prm => param(instance), stt => state(instance))
|
||||
|
||||
nonSchmidActive = size(prm%nonSchmidCoeff) > 0
|
||||
|
||||
do i = 1, prm%totalNslip
|
||||
tau_slip_pos(i) = math_mul33xx33(Mp,prm%nonSchmid_pos(1:3,1:3,i))
|
||||
tau_slip_neg(i) = merge(math_mul33xx33(Mp,prm%nonSchmid_neg(1:3,1:3,i)), &
|
||||
0.0_pReal, nonSchmidActive)
|
||||
enddo
|
||||
|
||||
where(dNeq0(tau_slip_pos))
|
||||
gdot_slip_pos = prm%gdot0_slip * merge(0.5_pReal,1.0_pReal, nonSchmidActive) & ! 1/2 if non-Schmid active
|
||||
* sign(abs(tau_slip_pos/stt%xi_slip(:,of))**prm%n_slip, tau_slip_pos)
|
||||
else where
|
||||
gdot_slip_pos = 0.0_pReal
|
||||
end where
|
||||
|
||||
where(dNeq0(tau_slip_neg))
|
||||
gdot_slip_neg = prm%gdot0_slip * 0.5_pReal & ! only used if non-Schmid active, always 1/2
|
||||
* sign(abs(tau_slip_neg/stt%xi_slip(:,of))**prm%n_slip, tau_slip_neg)
|
||||
else where
|
||||
gdot_slip_neg = 0.0_pReal
|
||||
end where
|
||||
|
||||
if (present(dgdot_dtau_slip_pos)) then
|
||||
where(dNeq0(gdot_slip_pos))
|
||||
dgdot_dtau_slip_pos = gdot_slip_pos*prm%n_slip/tau_slip_pos
|
||||
else where
|
||||
dgdot_dtau_slip_pos = 0.0_pReal
|
||||
end where
|
||||
endif
|
||||
if (present(dgdot_dtau_slip_neg)) then
|
||||
where(dNeq0(gdot_slip_neg))
|
||||
dgdot_dtau_slip_neg = gdot_slip_neg*prm%n_slip/tau_slip_neg
|
||||
else where
|
||||
dgdot_dtau_slip_neg = 0.0_pReal
|
||||
end where
|
||||
endif
|
||||
end associate
|
||||
|
||||
end subroutine kinetics_slip
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief Shear rates on twin systems and their derivatives with respect to resolved stress.
|
||||
! twinning is assumed to take place only in untwinned volume.
|
||||
!> @details Derivates are calculated only optionally.
|
||||
! NOTE: Against the common convention, the result (i.e. intent(out)) variables are the last to
|
||||
! have the optional arguments at the end.
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
pure subroutine kinetics_twin(Mp,instance,of,&
|
||||
gdot_twin,dgdot_dtau_twin)
|
||||
|
||||
real(pReal), dimension(3,3), intent(in) :: &
|
||||
Mp !< Mandel stress
|
||||
integer, intent(in) :: &
|
||||
instance, &
|
||||
of
|
||||
|
||||
real(pReal), dimension(param(instance)%totalNtwin), intent(out) :: &
|
||||
gdot_twin
|
||||
real(pReal), dimension(param(instance)%totalNtwin), intent(out), optional :: &
|
||||
dgdot_dtau_twin
|
||||
|
||||
real(pReal), dimension(param(instance)%totalNtwin) :: &
|
||||
tau_twin
|
||||
integer :: i
|
||||
|
||||
associate(prm => param(instance), stt => state(instance))
|
||||
|
||||
do i = 1, prm%totalNtwin
|
||||
tau_twin(i) = math_mul33xx33(Mp,prm%Schmid_twin(1:3,1:3,i))
|
||||
enddo
|
||||
|
||||
where(tau_twin > 0.0_pReal)
|
||||
gdot_twin = (1.0_pReal-sum(stt%gamma_twin(:,of)/prm%gamma_twin_char)) & ! only twin in untwinned volume fraction
|
||||
* prm%gdot0_twin*(abs(tau_twin)/stt%xi_twin(:,of))**prm%n_twin
|
||||
else where
|
||||
gdot_twin = 0.0_pReal
|
||||
end where
|
||||
|
||||
if (present(dgdot_dtau_twin)) then
|
||||
where(dNeq0(gdot_twin))
|
||||
dgdot_dtau_twin = gdot_twin*prm%n_twin/tau_twin
|
||||
else where
|
||||
dgdot_dtau_twin = 0.0_pReal
|
||||
end where
|
||||
endif
|
||||
|
||||
end associate
|
||||
|
||||
end subroutine kinetics_twin
|
||||
|
||||
end module plastic_phenopowerlaw
|
||||
Loading…
Reference in New Issue