499 lines
24 KiB
Fortran
499 lines
24 KiB
Fortran
!----------------------------------------------------------------------------------------------------
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!> @brief internal microstructure state for all plasticity constitutive models
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!----------------------------------------------------------------------------------------------------
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submodule(constitutive) constitutive_mech
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integer(kind(ELASTICITY_undefined_ID)), dimension(:), allocatable :: &
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phase_elasticity !< elasticity of each phase
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integer(kind(SOURCE_undefined_ID)), dimension(:,:), allocatable :: &
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phase_stiffnessDegradation !< active stiffness degradation mechanisms of each phase
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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 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_dislotungsten_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_dislotungsten_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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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_dislotungsten_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_dislotungsten_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, & !< deformation gradient
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Fp !< plastic deformation gradient
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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_dependentState
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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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module subroutine plastic_kinehardening_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_kinehardening_results
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module subroutine plastic_dislotwin_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_dislotwin_results
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module subroutine plastic_dislotungsten_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_dislotungsten_results
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module subroutine plastic_nonlocal_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_nonlocal_results
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end interface
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contains
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!--------------------------------------------------------------------------------------------------
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!> @brief Initialize mechanical field related constitutive models
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!> @details Initialize elasticity, plasticity and stiffness degradation models.
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!--------------------------------------------------------------------------------------------------
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module subroutine mech_init
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integer :: &
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p, &
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stiffDegradationCtr
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class(tNode), pointer :: &
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phases, &
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phase, &
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mech, &
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elastic, &
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stiffDegradation
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print'(/,a)', ' <<<+- constitutive_mech init -+>>>'
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!-------------------------------------------------------------------------------------------------
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! initialize elasticity (hooke) !ToDO: Maybe move to elastic submodule along with function homogenizedC?
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phases => config_material%get('phase')
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allocate(phase_elasticity(phases%length), source = ELASTICITY_undefined_ID)
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allocate(phase_elasticityInstance(phases%length), source = 0)
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allocate(phase_NstiffnessDegradations(phases%length),source=0)
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do p = 1, phases%length
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phase => phases%get(p)
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mech => phase%get('mechanics')
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elastic => mech%get('elasticity')
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if(elastic%get_asString('type') == 'hooke') then
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phase_elasticity(p) = ELASTICITY_HOOKE_ID
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else
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call IO_error(200,ext_msg=elastic%get_asString('type'))
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endif
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stiffDegradation => mech%get('stiffness_degradation',defaultVal=emptyList) ! check for stiffness degradation mechanisms
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phase_NstiffnessDegradations(p) = stiffDegradation%length
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enddo
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allocate(phase_stiffnessDegradation(maxval(phase_NstiffnessDegradations),phases%length), &
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source=STIFFNESS_DEGRADATION_undefined_ID)
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if(maxVal(phase_NstiffnessDegradations)/=0) then
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do p = 1, phases%length
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phase => phases%get(p)
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mech => phase%get('mechanics')
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stiffDegradation => mech%get('stiffness_degradation',defaultVal=emptyList)
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do stiffDegradationCtr = 1, stiffDegradation%length
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if(stiffDegradation%get_asString(stiffDegradationCtr) == 'damage') &
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phase_stiffnessDegradation(stiffDegradationCtr,p) = STIFFNESS_DEGRADATION_damage_ID
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enddo
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enddo
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endif
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! initialize plasticity
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allocate(plasticState(phases%length))
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allocate(phase_plasticity(phases%length),source = PLASTICITY_undefined_ID)
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allocate(phase_plasticityInstance(phases%length),source = 0)
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allocate(phase_localPlasticity(phases%length), source=.true.)
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where(plastic_none_init()) phase_plasticity = PLASTICITY_NONE_ID
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where(plastic_isotropic_init()) phase_plasticity = PLASTICITY_ISOTROPIC_ID
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where(plastic_phenopowerlaw_init()) phase_plasticity = PLASTICITY_PHENOPOWERLAW_ID
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where(plastic_kinehardening_init()) phase_plasticity = PLASTICITY_KINEHARDENING_ID
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where(plastic_dislotwin_init()) phase_plasticity = PLASTICITY_DISLOTWIN_ID
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where(plastic_dislotungsten_init()) phase_plasticity = PLASTICITY_DISLOTUNGSTEN_ID
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where(plastic_nonlocal_init()) phase_plasticity = PLASTICITY_NONLOCAL_ID
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do p = 1, phases%length
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phase_elasticityInstance(p) = count(phase_elasticity(1:p) == phase_elasticity(p))
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phase_plasticityInstance(p) = count(phase_plasticity(1:p) == phase_plasticity(p))
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enddo
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end subroutine mech_init
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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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module 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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class(tNode), 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 :: p
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phases => config_material%get('phase')
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allocate(active_plastic(phases%length), source = .false. )
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do p = 1, phases%length
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phase => phases%get(p)
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mech => phase%get('mechanics')
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pl => mech%get('plasticity')
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if(pl%get_asString('type') == plastic_label) active_plastic(p) = .true.
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enddo
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end function plastic_active
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!--------------------------------------------------------------------------------------------------
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!> @brief returns the 2nd Piola-Kirchhoff stress tensor and its tangent with respect to
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!> the elastic and intermediate deformation gradients using Hooke's law
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!--------------------------------------------------------------------------------------------------
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module subroutine constitutive_hooke_SandItsTangents(S, dS_dFe, dS_dFi, &
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Fe, 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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Fe, & !< elastic deformation gradient
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Fi !< intermediate deformation gradient
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real(pReal), intent(out), dimension(3,3) :: &
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S !< 2nd Piola-Kirchhoff stress tensor in lattice configuration
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real(pReal), intent(out), dimension(3,3,3,3) :: &
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dS_dFe, & !< derivative of 2nd P-K stress with respect to elastic deformation gradient
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dS_dFi !< derivative of 2nd P-K stress with respect to intermediate deformation gradient
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real(pReal), dimension(3,3) :: E
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real(pReal), dimension(3,3,3,3) :: C
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integer :: &
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ho, & !< homogenization
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d !< counter in degradation loop
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integer :: &
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i, j
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ho = material_homogenizationAt(el)
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C = math_66toSym3333(constitutive_homogenizedC(ipc,ip,el))
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DegradationLoop: do d = 1, phase_NstiffnessDegradations(material_phaseAt(ipc,el))
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degradationType: select case(phase_stiffnessDegradation(d,material_phaseAt(ipc,el)))
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case (STIFFNESS_DEGRADATION_damage_ID) degradationType
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C = C * damage(ho)%p(material_homogenizationMemberAt(ip,el))**2
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end select degradationType
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enddo DegradationLoop
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E = 0.5_pReal*(matmul(transpose(Fe),Fe)-math_I3) !< Green-Lagrange strain in unloaded configuration
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S = math_mul3333xx33(C,matmul(matmul(transpose(Fi),E),Fi)) !< 2PK stress in lattice configuration in work conjugate with GL strain pulled back to lattice configuration
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do i =1, 3;do j=1,3
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dS_dFe(i,j,1:3,1:3) = matmul(Fe,matmul(matmul(Fi,C(i,j,1:3,1:3)),transpose(Fi))) !< dS_ij/dFe_kl = C_ijmn * Fi_lm * Fi_on * Fe_ko
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dS_dFi(i,j,1:3,1:3) = 2.0_pReal*matmul(matmul(E,Fi),C(i,j,1:3,1:3)) !< dS_ij/dFi_kl = C_ijln * E_km * Fe_mn
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enddo; enddo
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end subroutine constitutive_hooke_SandItsTangents
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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 constitutive_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 = material_homogenizationMemberAt(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_DISLOTUNGSTEN_ID) plasticityType
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call plastic_dislotungsten_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 constitutive_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 constitutive_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 = material_homogenizationMemberAt(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_DISLOTUNGSTEN_ID) plasticityType
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call plastic_dislotungsten_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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end subroutine constitutive_plastic_LpAndItsTangents
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!--------------------------------------------------------------------------------------------
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!> @brief writes plasticity constitutive results to HDF5 output file
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!--------------------------------------------------------------------------------------------
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module subroutine plastic_results
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integer :: p
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character(len=:), allocatable :: group
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plasticityLoop: do p=1,size(material_name_phase)
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group = '/current/phase/'//trim(material_name_phase(p))
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call results_closeGroup(results_addGroup(group))
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group = trim(group)//'/plastic'
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call results_closeGroup(results_addGroup(group))
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select case(phase_plasticity(p))
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case(PLASTICITY_ISOTROPIC_ID)
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call plastic_isotropic_results(phase_plasticityInstance(p),group)
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case(PLASTICITY_PHENOPOWERLAW_ID)
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call plastic_phenopowerlaw_results(phase_plasticityInstance(p),group)
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case(PLASTICITY_KINEHARDENING_ID)
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call plastic_kinehardening_results(phase_plasticityInstance(p),group)
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case(PLASTICITY_DISLOTWIN_ID)
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call plastic_dislotwin_results(phase_plasticityInstance(p),group)
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case(PLASTICITY_DISLOTUNGSTEN_ID)
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call plastic_dislotungsten_results(phase_plasticityInstance(p),group)
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case(PLASTICITY_NONLOCAL_ID)
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call plastic_nonlocal_results(phase_plasticityInstance(p),group)
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end select
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enddo plasticityLoop
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end subroutine plastic_results
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end submodule constitutive_mech
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