496 lines
19 KiB
Fortran
496 lines
19 KiB
Fortran
submodule(phase:mechanical) plastic
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interface
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module function plastic_none_init() result(myPlasticity)
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logical, dimension(:), allocatable :: &
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myPlasticity
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end function plastic_none_init
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module function plastic_isotropic_init() result(myPlasticity)
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logical, dimension(:), allocatable :: &
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myPlasticity
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end function plastic_isotropic_init
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module function plastic_phenopowerlaw_init() result(myPlasticity)
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logical, dimension(:), allocatable :: &
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myPlasticity
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end function plastic_phenopowerlaw_init
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module function plastic_kinehardening_init() result(myPlasticity)
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logical, dimension(:), allocatable :: &
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myPlasticity
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end function plastic_kinehardening_init
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module function plastic_dislotwin_init() result(myPlasticity)
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logical, dimension(:), allocatable :: &
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myPlasticity
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end function plastic_dislotwin_init
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module function plastic_dislotungsten_init() result(myPlasticity)
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logical, dimension(:), allocatable :: &
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myPlasticity
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end function plastic_dislotungsten_init
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module function plastic_nonlocal_init() result(myPlasticity)
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logical, dimension(:), allocatable :: &
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myPlasticity
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end function plastic_nonlocal_init
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module subroutine isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,ph,en)
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real(pREAL), dimension(3,3), intent(out) :: &
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Lp
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real(pREAL), dimension(3,3,3,3), intent(out) :: &
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dLp_dMp
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real(pREAL), dimension(3,3), intent(in) :: &
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Mp
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integer, intent(in) :: &
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ph, &
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en
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end subroutine isotropic_LpAndItsTangent
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pure module subroutine phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,ph,en)
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real(pREAL), dimension(3,3), intent(out) :: &
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Lp
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real(pREAL), dimension(3,3,3,3), intent(out) :: &
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dLp_dMp
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real(pREAL), dimension(3,3), intent(in) :: &
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Mp
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integer, intent(in) :: &
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ph, &
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en
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end subroutine phenopowerlaw_LpAndItsTangent
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pure module subroutine kinehardening_LpAndItsTangent(Lp,dLp_dMp,Mp,ph,en)
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real(pREAL), dimension(3,3), intent(out) :: &
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Lp
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real(pREAL), dimension(3,3,3,3), intent(out) :: &
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dLp_dMp
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real(pREAL), dimension(3,3), intent(in) :: &
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Mp
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integer, intent(in) :: &
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ph, &
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en
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end subroutine kinehardening_LpAndItsTangent
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module subroutine dislotwin_LpAndItsTangent(Lp,dLp_dMp,Mp,ph,en)
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real(pREAL), dimension(3,3), intent(out) :: &
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Lp
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real(pREAL), dimension(3,3,3,3), intent(out) :: &
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dLp_dMp
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real(pREAL), dimension(3,3), intent(in) :: &
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Mp
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integer, intent(in) :: &
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ph, &
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en
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end subroutine dislotwin_LpAndItsTangent
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pure module subroutine dislotungsten_LpAndItsTangent(Lp,dLp_dMp,Mp,ph,en)
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real(pREAL), dimension(3,3), intent(out) :: &
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Lp
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real(pREAL), dimension(3,3,3,3), intent(out) :: &
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dLp_dMp
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real(pREAL), dimension(3,3), intent(in) :: &
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Mp
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integer, intent(in) :: &
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ph, &
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en
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end subroutine dislotungsten_LpAndItsTangent
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module subroutine nonlocal_LpAndItsTangent(Lp,dLp_dMp,Mp,ph,en)
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real(pREAL), dimension(3,3), intent(out) :: &
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Lp
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real(pREAL), dimension(3,3,3,3), intent(out) :: &
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dLp_dMp
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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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ph, &
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en
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end subroutine nonlocal_LpAndItsTangent
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module function isotropic_dotState(Mp,ph,en) result(dotState)
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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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ph, &
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en
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real(pREAL), dimension(plasticState(ph)%sizeDotState) :: &
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dotState
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end function isotropic_dotState
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module function phenopowerlaw_dotState(Mp,ph,en) result(dotState)
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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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ph, &
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en
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real(pREAL), dimension(plasticState(ph)%sizeDotState) :: &
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dotState
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end function phenopowerlaw_dotState
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module function plastic_kinehardening_dotState(Mp,ph,en) result(dotState)
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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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ph, &
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en
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real(pREAL), dimension(plasticState(ph)%sizeDotState) :: &
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dotState
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end function plastic_kinehardening_dotState
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module function dislotwin_dotState(Mp,ph,en) result(dotState)
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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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ph, &
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en
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real(pREAL), dimension(plasticState(ph)%sizeDotState) :: &
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dotState
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end function dislotwin_dotState
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module function dislotungsten_dotState(Mp,ph,en) result(dotState)
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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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ph, &
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en
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real(pREAL), dimension(plasticState(ph)%sizeDotState) :: &
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dotState
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end function dislotungsten_dotState
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module subroutine nonlocal_dotState(Mp,timestep,ph,en)
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real(pREAL), dimension(3,3), intent(in) :: &
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Mp !< MandelStress
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real(pREAL), intent(in) :: &
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timestep !< substepped crystallite time increment
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integer, intent(in) :: &
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ph, &
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en
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end subroutine nonlocal_dotState
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module subroutine dislotwin_dependentState(ph,en)
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integer, intent(in) :: &
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ph, &
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en
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end subroutine dislotwin_dependentState
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module subroutine dislotungsten_dependentState(ph,en)
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integer, intent(in) :: &
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ph, &
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en
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end subroutine dislotungsten_dependentState
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module subroutine nonlocal_dependentState(ph,en)
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integer, intent(in) :: &
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ph, &
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en
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end subroutine nonlocal_dependentState
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module subroutine plastic_kinehardening_deltaState(Mp,ph,en)
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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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ph, &
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en
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end subroutine plastic_kinehardening_deltaState
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module subroutine plastic_nonlocal_deltaState(Mp,ph,en)
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real(pREAL), dimension(3,3), intent(in) :: &
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Mp
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integer, intent(in) :: &
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ph, &
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en
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end subroutine plastic_nonlocal_deltaState
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module subroutine plastic_nonlocal_updateCompatibility(orientation,ph,en)
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integer, intent(in) :: ph, en
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type(tRotationContainer), dimension(:), intent(in) :: orientation
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end subroutine plastic_nonlocal_updateCompatibility
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module subroutine plastic_phenopowerlaw_deltaState(ph,en) !< Achal
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integer, intent(in)::&
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ph, &
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en
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end subroutine plastic_phenopowerlaw_deltaState
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module subroutine plastic_kinematic_deltaFp(ph,en,twinJump,deltaFp) !< Achal
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integer, intent(in) :: &
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ph, &
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en
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logical , intent(out) :: &
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twinJump
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real(pREAL), dimension(3,3), intent(out) :: &
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deltaFp
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end subroutine plastic_kinematic_deltaFp
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end interface
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contains
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module subroutine plastic_init
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print'(/,1x,a)', '<<<+- phase:mechanical:plasticity init -+>>>'
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where(plastic_none_init()) mechanical_plasticity_type = MECHANICAL_PLASTICITY_NONE
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where(plastic_isotropic_init()) mechanical_plasticity_type = MECHANICAL_PLASTICITY_ISOTROPIC
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where(plastic_phenopowerlaw_init()) mechanical_plasticity_type = MECHANICAL_PLASTICITY_PHENOPOWERLAW
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where(plastic_kinehardening_init()) mechanical_plasticity_type = MECHANICAL_PLASTICITY_KINEHARDENING
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where(plastic_dislotwin_init()) mechanical_plasticity_type = MECHANICAL_PLASTICITY_DISLOTWIN
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where(plastic_dislotungsten_init()) mechanical_plasticity_type = MECHANICAL_PLASTICITY_DISLOTUNGSTEN
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where(plastic_nonlocal_init()) mechanical_plasticity_type = MECHANICAL_PLASTICITY_NONLOCAL
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if (any(mechanical_plasticity_type == UNDEFINED)) call IO_error(201)
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end subroutine plastic_init
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!--------------------------------------------------------------------------------------------------
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!> @brief 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, ph,en)
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integer, intent(in) :: &
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ph,en
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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 en 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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i, j
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if (mechanical_plasticity_type(ph) == MECHANICAL_PLASTICITY_NONE) then
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Lp = 0.0_pREAL
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dLp_dFi = 0.0_pREAL
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dLp_dS = 0.0_pREAL
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else
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Mp = matmul(matmul(transpose(Fi),Fi),S)
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plasticType: select case (mechanical_plasticity_type(ph))
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case (MECHANICAL_PLASTICITY_ISOTROPIC) plasticType
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call isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,ph,en)
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case (MECHANICAL_PLASTICITY_PHENOPOWERLAW) plasticType
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call phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,ph,en)
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case (MECHANICAL_PLASTICITY_KINEHARDENING) plasticType
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call kinehardening_LpAndItsTangent(Lp,dLp_dMp,Mp,ph,en)
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case (MECHANICAL_PLASTICITY_NONLOCAL) plasticType
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call nonlocal_LpAndItsTangent(Lp,dLp_dMp,Mp,ph,en)
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case (MECHANICAL_PLASTICITY_DISLOTWIN) plasticType
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call dislotwin_LpAndItsTangent(Lp,dLp_dMp,Mp,ph,en)
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case (MECHANICAL_PLASTICITY_DISLOTUNGSTEN) plasticType
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call dislotungsten_LpAndItsTangent(Lp,dLp_dMp,Mp,ph,en)
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end select plasticType
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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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end do; end do
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end if
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end subroutine plastic_LpAndItsTangents
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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(subdt,ph,en) result(dotState)
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integer, intent(in) :: &
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ph, &
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en
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real(pREAL), intent(in) :: &
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subdt !< timestep
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real(pREAL), dimension(3,3) :: &
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Mp
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real(pREAL), dimension(plasticState(ph)%sizeDotState) :: &
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dotState
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if (mechanical_plasticity_type(ph) /= MECHANICAL_PLASTICITY_NONE) then
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Mp = matmul(matmul(transpose(phase_mechanical_Fi(ph)%data(1:3,1:3,en)),&
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phase_mechanical_Fi(ph)%data(1:3,1:3,en)),phase_mechanical_S(ph)%data(1:3,1:3,en))
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plasticType: select case (mechanical_plasticity_type(ph))
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case (MECHANICAL_PLASTICITY_ISOTROPIC) plasticType
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dotState = isotropic_dotState(Mp,ph,en)
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case (MECHANICAL_PLASTICITY_PHENOPOWERLAW) plasticType
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dotState = phenopowerlaw_dotState(Mp,ph,en)
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case (MECHANICAL_PLASTICITY_KINEHARDENING) plasticType
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dotState = plastic_kinehardening_dotState(Mp,ph,en)
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case (MECHANICAL_PLASTICITY_DISLOTWIN) plasticType
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dotState = dislotwin_dotState(Mp,ph,en)
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case (MECHANICAL_PLASTICITY_DISLOTUNGSTEN) plasticType
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dotState = dislotungsten_dotState(Mp,ph,en)
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case (MECHANICAL_PLASTICITY_NONLOCAL) plasticType
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call nonlocal_dotState(Mp,subdt,ph,en)
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dotState = plasticState(ph)%dotState(:,en)
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end select plasticType
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end if
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end function plastic_dotState
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!--------------------------------------------------------------------------------------------------
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!> @brief calls microstructure function of the different plasticity constitutive models
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!--------------------------------------------------------------------------------------------------
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module subroutine plastic_dependentState(ph,en)
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integer, intent(in) :: &
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ph, &
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en
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plasticType: select case (mechanical_plasticity_type(ph))
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case (MECHANICAL_PLASTICITY_DISLOTWIN) plasticType
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call dislotwin_dependentState(ph,en)
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case (MECHANICAL_PLASTICITY_DISLOTUNGSTEN) plasticType
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call dislotungsten_dependentState(ph,en)
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case (MECHANICAL_PLASTICITY_NONLOCAL) plasticType
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call nonlocal_dependentState(ph,en)
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if (plasticState(ph)%nonlocal) call plastic_nonlocal_updateCompatibility(phase_O,ph,en)
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end select plasticType
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end subroutine plastic_dependentState
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!--------------------------------------------------------------------------------------------------
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!> @brief for constitutive models that have an instantaneous change of state
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!> will return false if delta state is not needed/supported by the constitutive model
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!--------------------------------------------------------------------------------------------------
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module function plastic_deltaState(ph, en) result(status)
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integer, intent(in) :: &
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ph, &
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en
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integer(kind(STATUS_OK)) :: status
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real(pREAL), dimension(3,3) :: &
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Mp
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integer :: &
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mySize
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status = STATUS_OK
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select case (mechanical_plasticity_type(ph))
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case (MECHANICAL_PLASTICITY_PHENOPOWERLAW, MECHANICAL_PLASTICITY_NONLOCAL,&
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MECHANICAL_PLASTICITY_KINEHARDENING)
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Mp = matmul(matmul(transpose(phase_mechanical_Fi(ph)%data(1:3,1:3,en)),&
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phase_mechanical_Fi(ph)%data(1:3,1:3,en)),&
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phase_mechanical_S(ph)%data(1:3,1:3,en))
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plasticType: select case (mechanical_plasticity_type(ph))
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case (MECHANICAL_PLASTICITY_KINEHARDENING) plasticType
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call plastic_kinehardening_deltaState(Mp,ph,en)
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case (MECHANICAL_PLASTICITY_NONLOCAL) plasticType
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call plastic_nonlocal_deltaState(Mp,ph,en)
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case (MECHANICAL_PLASTICITY_PHENOPOWERLAW) plasticType
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call plastic_phenopowerlaw_deltaState(ph,en)
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end select plasticType
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if (any(IEEE_is_NaN(plasticState(ph)%deltaState(:,en)))) status = STATUS_FAIL_PHASE_MECHANICAL_DELTASTATE
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if (status == STATUS_OK) then
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mySize = plasticState(ph)%sizeDeltaState
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plasticState(ph)%deltaState2(1:mySize,en) = plasticState(ph)%deltaState2(1:mySize,en) &
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+ plasticState(ph)%deltaState(1:mySize,en)
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end if
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end select
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end function plastic_deltaState
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!--------------------------------------------------------------------------------------------------
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!> @brief checks if a plastic module is active or not
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!--------------------------------------------------------------------------------------------------
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function plastic_active(plastic_label) result(active_plastic)
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character(len=*), intent(in) :: plastic_label !< type of plasticity model
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logical, dimension(:), allocatable :: active_plastic
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type(tDict), pointer :: &
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phases, &
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phase, &
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mech, &
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pl
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integer :: ph
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phases => config_material%get_dict('phase')
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allocate(active_plastic(phases%length), source = .false. )
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do ph = 1, phases%length
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phase => phases%get_dict(ph)
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mech => phase%get_dict('mechanical')
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pl => mech%get_dict('plastic',defaultVal = emptyDict)
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active_plastic(ph) = pl%get_asStr('type',defaultVal='none') == plastic_label
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end do
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end function plastic_active
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!--------------------------------------------------------------------------------------------------
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!> @brief for constitutive models having an instantaneous change of kinematic (such as Fp, Fe or Fi)
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!> this subroutine will return following
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!1) DeltaKinematic which is deltaFp here = Cij (correspondance matrix) representing twinning shear and reorientation
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!2) -(twin volume fraction) for each twin system to make it harder for twinned material point to twin again by any twin system
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!3) -(last sampled volume fraction) to restart sampling
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!4) logical true if twinning possible/needed, false if not occurring/not needed
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!--------------------------------------------------------------------------------------------------
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subroutine plastic_KinematicJump(ph, en, twinJump,deltaFp)
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integer, intent(in) :: &
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ph, &
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en
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logical , intent(out) :: &
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twinJump
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real(pReal), dimension(3,3), intent(out) :: &
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deltaFp
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plasticType: select case (mechanical_plasticity_type(ph))
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case (MECHANICAL_PLASTICITY_PHENOPOWERLAW) plasticType
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call plastic_kinematic_deltaFp(ph,en, twinJump,deltaFp)
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end select plasticType
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end subroutine plastic_KinematicJump
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end submodule plastic
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