2020-07-09 04:31:08 +05:30
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submodule(constitutive) constitutive_plastic
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implicit none
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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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2020-07-10 18:29:07 +05:30
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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, F, Fp, Temperature,timestep, &
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instance,of,ip,el)
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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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F, & !< deformation gradient
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Fp !< plastic deformation gradient
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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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integer, intent(in) :: &
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instance, &
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of, &
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ip, & !< current integration point
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el !< current element number
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end subroutine plastic_nonlocal_dotState
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2020-07-09 04:31:08 +05:30
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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,instance,of,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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integer, intent(in) :: &
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instance, &
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of, &
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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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2020-07-10 18:29:07 +05:30
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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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2020-07-09 04:31:08 +05:30
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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(F, Fp, instance, of, ip, el)
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real(pReal), dimension(3,3), intent(in) :: &
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F, &
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Fp
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integer, intent(in) :: &
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instance, &
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of, &
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ip, &
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el
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end subroutine plastic_nonlocal_dependentState
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end interface
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contains
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!--------------------------------------------------------------------------------------------------
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!> @brief allocates arrays pointing to array of the various constitutive modules
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!--------------------------------------------------------------------------------------------------
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module subroutine plastic_init
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!--------------------------------------------------------------------------------------------------
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! initialized plasticity
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if (any(phase_plasticity == PLASTICITY_NONE_ID)) call plastic_none_init
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if (any(phase_plasticity == PLASTICITY_ISOTROPIC_ID)) call plastic_isotropic_init
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if (any(phase_plasticity == PLASTICITY_PHENOPOWERLAW_ID)) call plastic_phenopowerlaw_init
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if (any(phase_plasticity == PLASTICITY_KINEHARDENING_ID)) call plastic_kinehardening_init
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if (any(phase_plasticity == PLASTICITY_DISLOTWIN_ID)) call plastic_dislotwin_init
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if (any(phase_plasticity == PLASTICITY_DISLOUCLA_ID)) call plastic_disloucla_init
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if (any(phase_plasticity == PLASTICITY_NONLOCAL_ID)) then
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call plastic_nonlocal_init
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else
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call geometry_plastic_nonlocal_disable
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endif
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end subroutine plastic_init
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2020-07-10 18:29:07 +05:30
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!--------------------------------------------------------------------------------------------------
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!> @brief contains the constitutive equation for calculating the rate of change of microstructure
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!--------------------------------------------------------------------------------------------------
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module function plastic_dotState(S, FArray, Fi, FpArray, subdt, ipc, ip, el,phase,of) result(broken_plastic)
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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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phase, &
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of
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real(pReal), intent(in) :: &
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subdt !< timestep
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real(pReal), intent(in), dimension(3,3,homogenization_maxNgrains,discretization_nIP,discretization_nElem) :: &
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FArray, & !< elastic deformation gradient
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FpArray !< plastic deformation gradient
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real(pReal), intent(in), dimension(3,3) :: &
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Fi !< intermediate deformation gradient
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real(pReal), intent(in), dimension(3,3) :: &
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S !< 2nd Piola Kirchhoff stress (vector notation)
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real(pReal), dimension(3,3) :: &
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Mp
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integer :: &
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ho, & !< homogenization
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tme, & !< thermal member position
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i, & !< counter in source loop
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instance
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logical :: broken_plastic
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ho = material_homogenizationAt(el)
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tme = thermalMapping(ho)%p(ip,el)
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instance = phase_plasticityInstance(phase)
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Mp = matmul(matmul(transpose(Fi),Fi),S)
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plasticityType: select case (phase_plasticity(phase))
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case (PLASTICITY_ISOTROPIC_ID) plasticityType
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call plastic_isotropic_dotState (Mp,instance,of)
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case (PLASTICITY_PHENOPOWERLAW_ID) plasticityType
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call plastic_phenopowerlaw_dotState(Mp,instance,of)
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case (PLASTICITY_KINEHARDENING_ID) plasticityType
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call plastic_kinehardening_dotState(Mp,instance,of)
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case (PLASTICITY_DISLOTWIN_ID) plasticityType
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call plastic_dislotwin_dotState (Mp,temperature(ho)%p(tme),instance,of)
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case (PLASTICITY_DISLOUCLA_ID) plasticityType
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call plastic_disloucla_dotState (Mp,temperature(ho)%p(tme),instance,of)
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case (PLASTICITY_NONLOCAL_ID) plasticityType
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call plastic_nonlocal_dotState (Mp,FArray,FpArray,temperature(ho)%p(tme),subdt, &
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instance,of,ip,el)
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end select plasticityType
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broken_plastic = any(IEEE_is_NaN(plasticState(phase)%dotState(:,of)))
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end function plastic_dotState
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!--------------------------------------------------------------------------------------------------
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!> @brief returns the homogenize elasticity matrix
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!> ToDo: homogenizedC66 would be more consistent
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!--------------------------------------------------------------------------------------------------
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module function plastic_homogenizedC(ipc,ip,el) result(homogenizedC)
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real(pReal), dimension(6,6) :: 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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plasticityType: select case (phase_plasticity(material_phaseAt(ipc,el)))
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case (PLASTICITY_DISLOTWIN_ID) plasticityType
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homogenizedC = plastic_dislotwin_homogenizedC(ipc,ip,el)
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case default plasticityType
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homogenizedC = lattice_C66(1:6,1:6,material_phaseAt(ipc,el))
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end select plasticityType
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end function plastic_homogenizedC
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2020-07-09 04:31:08 +05:30
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!--------------------------------------------------------------------------------------------------
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!> @brief calls microstructure function of the different constitutive models
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!--------------------------------------------------------------------------------------------------
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module subroutine plastic_dependentState(F, Fp, ipc, ip, el)
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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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real(pReal), intent(in), dimension(3,3) :: &
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F, & !< elastic deformation gradient
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Fp !< plastic deformation gradient
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integer :: &
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ho, & !< homogenization
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tme, & !< thermal member position
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instance, of
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ho = material_homogenizationAt(el)
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tme = thermalMapping(ho)%p(ip,el)
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of = material_phasememberAt(ipc,ip,el)
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instance = phase_plasticityInstance(material_phaseAt(ipc,el))
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plasticityType: select case (phase_plasticity(material_phaseAt(ipc,el)))
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case (PLASTICITY_DISLOTWIN_ID) plasticityType
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call plastic_dislotwin_dependentState(temperature(ho)%p(tme),instance,of)
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case (PLASTICITY_DISLOUCLA_ID) plasticityType
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call plastic_disloUCLA_dependentState(instance,of)
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case (PLASTICITY_NONLOCAL_ID) plasticityType
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call plastic_nonlocal_dependentState (F,Fp,instance,of,ip,el)
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end select plasticityType
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end subroutine plastic_dependentState
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!--------------------------------------------------------------------------------------------------
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!> @brief contains the constitutive equation for calculating the velocity gradient
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! ToDo: Discuss whether it makes sense if crystallite handles the configuration conversion, i.e.
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! Mp in, dLp_dMp out
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!--------------------------------------------------------------------------------------------------
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module subroutine plastic_LpAndItsTangents(Lp, dLp_dS, dLp_dFi, &
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S, Fi, ipc, ip, el)
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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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real(pReal), intent(in), dimension(3,3) :: &
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S, & !< 2nd Piola-Kirchhoff stress
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Fi !< intermediate deformation gradient
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real(pReal), intent(out), dimension(3,3) :: &
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Lp !< plastic velocity gradient
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real(pReal), intent(out), dimension(3,3,3,3) :: &
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dLp_dS, &
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dLp_dFi !< derivative of Lp with respect to Fi
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real(pReal), dimension(3,3,3,3) :: &
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dLp_dMp !< derivative of Lp with respect to Mandel stress
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real(pReal), dimension(3,3) :: &
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Mp !< Mandel stress work conjugate with Lp
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integer :: &
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ho, & !< homogenization
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tme !< thermal member position
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integer :: &
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i, j, instance, of
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ho = material_homogenizationAt(el)
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tme = thermalMapping(ho)%p(ip,el)
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Mp = matmul(matmul(transpose(Fi),Fi),S)
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of = material_phasememberAt(ipc,ip,el)
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instance = phase_plasticityInstance(material_phaseAt(ipc,el))
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plasticityType: select case (phase_plasticity(material_phaseAt(ipc,el)))
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case (PLASTICITY_NONE_ID) plasticityType
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Lp = 0.0_pReal
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dLp_dMp = 0.0_pReal
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case (PLASTICITY_ISOTROPIC_ID) plasticityType
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call plastic_isotropic_LpAndItsTangent (Lp,dLp_dMp,Mp,instance,of)
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case (PLASTICITY_PHENOPOWERLAW_ID) plasticityType
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call plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
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case (PLASTICITY_KINEHARDENING_ID) plasticityType
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call plastic_kinehardening_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
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case (PLASTICITY_NONLOCAL_ID) plasticityType
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call plastic_nonlocal_LpAndItsTangent (Lp,dLp_dMp,Mp, temperature(ho)%p(tme),instance,of,ip,el)
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case (PLASTICITY_DISLOTWIN_ID) plasticityType
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call plastic_dislotwin_LpAndItsTangent (Lp,dLp_dMp,Mp,temperature(ho)%p(tme),instance,of)
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case (PLASTICITY_DISLOUCLA_ID) plasticityType
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call plastic_disloucla_LpAndItsTangent (Lp,dLp_dMp,Mp,temperature(ho)%p(tme),instance,of)
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|
end select plasticityType
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|
|
do i=1,3; do j=1,3
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|
|
|
dLp_dFi(i,j,1:3,1:3) = matmul(matmul(Fi,S),transpose(dLp_dMp(i,j,1:3,1:3))) + &
|
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|
|
matmul(matmul(Fi,dLp_dMp(i,j,1:3,1:3)),S)
|
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|
|
dLp_dS(i,j,1:3,1:3) = matmul(matmul(transpose(Fi),Fi),dLp_dMp(i,j,1:3,1:3)) ! ToDo: @PS: why not: dLp_dMp:(FiT Fi)
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|
enddo; enddo
|
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|
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end subroutine plastic_LpAndItsTangents
|
|
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|
|
end submodule constitutive_plastic
|
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