493 lines
24 KiB
Fortran
493 lines
24 KiB
Fortran
!----------------------------------------------------------------------------------------------------
|
|
!> @brief internal microstructure state for all plasticity constitutive models
|
|
!----------------------------------------------------------------------------------------------------
|
|
submodule(constitutive) constitutive_mech
|
|
|
|
interface
|
|
|
|
module function plastic_none_init() result(myPlasticity)
|
|
logical, dimension(:), allocatable :: &
|
|
myPlasticity
|
|
end function plastic_none_init
|
|
|
|
module function plastic_isotropic_init() result(myPlasticity)
|
|
logical, dimension(:), allocatable :: &
|
|
myPlasticity
|
|
end function plastic_isotropic_init
|
|
|
|
module function plastic_phenopowerlaw_init() result(myPlasticity)
|
|
logical, dimension(:), allocatable :: &
|
|
myPlasticity
|
|
end function plastic_phenopowerlaw_init
|
|
|
|
module function plastic_kinehardening_init() result(myPlasticity)
|
|
logical, dimension(:), allocatable :: &
|
|
myPlasticity
|
|
end function plastic_kinehardening_init
|
|
|
|
module function plastic_dislotwin_init() result(myPlasticity)
|
|
logical, dimension(:), allocatable :: &
|
|
myPlasticity
|
|
end function plastic_dislotwin_init
|
|
|
|
module function plastic_disloTungsten_init() result(myPlasticity)
|
|
logical, dimension(:), allocatable :: &
|
|
myPlasticity
|
|
end function plastic_disloTungsten_init
|
|
|
|
module function plastic_nonlocal_init() result(myPlasticity)
|
|
logical, dimension(:), allocatable :: &
|
|
myPlasticity
|
|
end function plastic_nonlocal_init
|
|
|
|
|
|
module subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
|
|
real(pReal), dimension(3,3), intent(out) :: &
|
|
Lp !< plastic velocity gradient
|
|
real(pReal), dimension(3,3,3,3), intent(out) :: &
|
|
dLp_dMp !< derivative of Lp with respect to the Mandel stress
|
|
|
|
real(pReal), dimension(3,3), intent(in) :: &
|
|
Mp !< Mandel stress
|
|
integer, intent(in) :: &
|
|
instance, &
|
|
of
|
|
end subroutine plastic_isotropic_LpAndItsTangent
|
|
|
|
pure module subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
|
|
real(pReal), dimension(3,3), intent(out) :: &
|
|
Lp !< plastic velocity gradient
|
|
real(pReal), dimension(3,3,3,3), intent(out) :: &
|
|
dLp_dMp !< derivative of Lp with respect to the Mandel stress
|
|
real(pReal), dimension(3,3), intent(in) :: &
|
|
Mp !< Mandel stress
|
|
integer, intent(in) :: &
|
|
instance, &
|
|
of
|
|
end subroutine plastic_phenopowerlaw_LpAndItsTangent
|
|
|
|
pure module subroutine plastic_kinehardening_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
|
|
real(pReal), dimension(3,3), intent(out) :: &
|
|
Lp !< plastic velocity gradient
|
|
real(pReal), dimension(3,3,3,3), intent(out) :: &
|
|
dLp_dMp !< derivative of Lp with respect to the Mandel stress
|
|
|
|
real(pReal), dimension(3,3), intent(in) :: &
|
|
Mp !< Mandel stress
|
|
integer, intent(in) :: &
|
|
instance, &
|
|
of
|
|
end subroutine plastic_kinehardening_LpAndItsTangent
|
|
|
|
module subroutine plastic_dislotwin_LpAndItsTangent(Lp,dLp_dMp,Mp,T,instance,of)
|
|
real(pReal), dimension(3,3), intent(out) :: &
|
|
Lp !< plastic velocity gradient
|
|
real(pReal), dimension(3,3,3,3), intent(out) :: &
|
|
dLp_dMp !< derivative of Lp with respect to the Mandel stress
|
|
|
|
real(pReal), dimension(3,3), intent(in) :: &
|
|
Mp !< Mandel stress
|
|
real(pReal), intent(in) :: &
|
|
T
|
|
integer, intent(in) :: &
|
|
instance, &
|
|
of
|
|
end subroutine plastic_dislotwin_LpAndItsTangent
|
|
|
|
pure module subroutine plastic_disloTungsten_LpAndItsTangent(Lp,dLp_dMp,Mp,T,instance,of)
|
|
real(pReal), dimension(3,3), intent(out) :: &
|
|
Lp !< plastic velocity gradient
|
|
real(pReal), dimension(3,3,3,3), intent(out) :: &
|
|
dLp_dMp !< derivative of Lp with respect to the Mandel stress
|
|
|
|
real(pReal), dimension(3,3), intent(in) :: &
|
|
Mp !< Mandel stress
|
|
real(pReal), intent(in) :: &
|
|
T
|
|
integer, intent(in) :: &
|
|
instance, &
|
|
of
|
|
end subroutine plastic_disloTungsten_LpAndItsTangent
|
|
|
|
module subroutine plastic_nonlocal_LpAndItsTangent(Lp,dLp_dMp, &
|
|
Mp,Temperature,instance,of,ip,el)
|
|
real(pReal), dimension(3,3), intent(out) :: &
|
|
Lp !< plastic velocity gradient
|
|
real(pReal), dimension(3,3,3,3), intent(out) :: &
|
|
dLp_dMp !< derivative of Lp with respect to the Mandel stress
|
|
|
|
real(pReal), dimension(3,3), intent(in) :: &
|
|
Mp !< Mandel stress
|
|
real(pReal), intent(in) :: &
|
|
Temperature
|
|
integer, intent(in) :: &
|
|
instance, &
|
|
of, &
|
|
ip, & !< current integration point
|
|
el !< current element number
|
|
end subroutine plastic_nonlocal_LpAndItsTangent
|
|
|
|
|
|
module subroutine plastic_dislotwin_dependentState(T,instance,of)
|
|
integer, intent(in) :: &
|
|
instance, &
|
|
of
|
|
real(pReal), intent(in) :: &
|
|
T
|
|
end subroutine plastic_dislotwin_dependentState
|
|
|
|
module subroutine plastic_disloTungsten_dependentState(instance,of)
|
|
integer, intent(in) :: &
|
|
instance, &
|
|
of
|
|
end subroutine plastic_disloTungsten_dependentState
|
|
|
|
module subroutine plastic_nonlocal_dependentState(F, Fp, instance, of, ip, el)
|
|
real(pReal), dimension(3,3), intent(in) :: &
|
|
F, & !< deformation gradient
|
|
Fp !< plastic deformation gradient
|
|
integer, intent(in) :: &
|
|
instance, &
|
|
of, &
|
|
ip, & !< current integration point
|
|
el !< current element number
|
|
end subroutine plastic_nonlocal_dependentState
|
|
|
|
module subroutine plastic_isotropic_results(instance,group)
|
|
integer, intent(in) :: instance
|
|
character(len=*), intent(in) :: group
|
|
end subroutine plastic_isotropic_results
|
|
|
|
module subroutine plastic_phenopowerlaw_results(instance,group)
|
|
integer, intent(in) :: instance
|
|
character(len=*), intent(in) :: group
|
|
end subroutine plastic_phenopowerlaw_results
|
|
|
|
module subroutine plastic_kinehardening_results(instance,group)
|
|
integer, intent(in) :: instance
|
|
character(len=*), intent(in) :: group
|
|
end subroutine plastic_kinehardening_results
|
|
|
|
module subroutine plastic_dislotwin_results(instance,group)
|
|
integer, intent(in) :: instance
|
|
character(len=*), intent(in) :: group
|
|
end subroutine plastic_dislotwin_results
|
|
|
|
module subroutine plastic_disloTungsten_results(instance,group)
|
|
integer, intent(in) :: instance
|
|
character(len=*), intent(in) :: group
|
|
end subroutine plastic_disloTungsten_results
|
|
|
|
module subroutine plastic_nonlocal_results(instance,group)
|
|
integer, intent(in) :: instance
|
|
character(len=*), intent(in) :: group
|
|
end subroutine plastic_nonlocal_results
|
|
|
|
|
|
end interface
|
|
|
|
|
|
contains
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief Initialize mechanical field related constitutive models
|
|
!> @details Initialize elasticity, plasticity and stiffness degradation models.
|
|
!--------------------------------------------------------------------------------------------------
|
|
module subroutine mech_init
|
|
|
|
integer :: &
|
|
p, &
|
|
stiffDegradationCtr
|
|
class(tNode), pointer :: &
|
|
phases, &
|
|
phase, &
|
|
mech, &
|
|
elastic, &
|
|
stiffDegradation
|
|
|
|
print'(/,a)', ' <<<+- constitutive_mech init -+>>>'
|
|
|
|
!-------------------------------------------------------------------------------------------------
|
|
! initialize elasticity (hooke) !ToDO: Maybe move to elastic submodule along with function homogenizedC?
|
|
phases => config_material%get('phase')
|
|
allocate(phase_elasticity(phases%length), source = ELASTICITY_undefined_ID)
|
|
allocate(phase_elasticityInstance(phases%length), source = 0)
|
|
allocate(phase_NstiffnessDegradations(phases%length),source=0)
|
|
|
|
do p = 1, phases%length
|
|
phase => phases%get(p)
|
|
mech => phase%get('mechanics')
|
|
elastic => mech%get('elasticity')
|
|
if(elastic%get_asString('type') == 'hooke') then
|
|
phase_elasticity(p) = ELASTICITY_HOOKE_ID
|
|
else
|
|
call IO_error(200,ext_msg=elastic%get_asString('type'))
|
|
endif
|
|
stiffDegradation => mech%get('stiffness_degradation',defaultVal=emptyList) ! check for stiffness degradation mechanisms
|
|
phase_NstiffnessDegradations(p) = stiffDegradation%length
|
|
enddo
|
|
|
|
allocate(phase_stiffnessDegradation(maxval(phase_NstiffnessDegradations),phases%length), &
|
|
source=STIFFNESS_DEGRADATION_undefined_ID)
|
|
|
|
if(maxVal(phase_NstiffnessDegradations)/=0) then
|
|
do p = 1, phases%length
|
|
phase => phases%get(p)
|
|
mech => phase%get('mechanics')
|
|
stiffDegradation => mech%get('stiffness_degradation',defaultVal=emptyList)
|
|
do stiffDegradationCtr = 1, stiffDegradation%length
|
|
if(stiffDegradation%get_asString(stiffDegradationCtr) == 'damage') &
|
|
phase_stiffnessDegradation(stiffDegradationCtr,p) = STIFFNESS_DEGRADATION_damage_ID
|
|
enddo
|
|
enddo
|
|
endif
|
|
|
|
|
|
! initialize plasticity
|
|
allocate(plasticState(phases%length))
|
|
allocate(phase_plasticity(phases%length),source = PLASTICITY_undefined_ID)
|
|
allocate(phase_plasticityInstance(phases%length),source = 0)
|
|
allocate(phase_localPlasticity(phases%length), source=.true.)
|
|
|
|
where(plastic_none_init()) phase_plasticity = PLASTICITY_NONE_ID
|
|
where(plastic_isotropic_init()) phase_plasticity = PLASTICITY_ISOTROPIC_ID
|
|
where(plastic_phenopowerlaw_init()) phase_plasticity = PLASTICITY_PHENOPOWERLAW_ID
|
|
where(plastic_kinehardening_init()) phase_plasticity = PLASTICITY_KINEHARDENING_ID
|
|
where(plastic_dislotwin_init()) phase_plasticity = PLASTICITY_DISLOTWIN_ID
|
|
where(plastic_disloTungsten_init()) phase_plasticity = PLASTICITY_DISLOTUNGSTEN_ID
|
|
where(plastic_nonlocal_init()) phase_plasticity = PLASTICITY_NONLOCAL_ID
|
|
|
|
do p = 1, phases%length
|
|
phase_elasticityInstance(p) = count(phase_elasticity(1:p) == phase_elasticity(p))
|
|
phase_plasticityInstance(p) = count(phase_plasticity(1:p) == phase_plasticity(p))
|
|
enddo
|
|
|
|
end subroutine mech_init
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief checks if a plastic module is active or not
|
|
!--------------------------------------------------------------------------------------------------
|
|
module function plastic_active(plastic_label) result(active_plastic)
|
|
|
|
character(len=*), intent(in) :: plastic_label !< type of plasticity model
|
|
logical, dimension(:), allocatable :: active_plastic
|
|
|
|
class(tNode), pointer :: &
|
|
phases, &
|
|
phase, &
|
|
mech, &
|
|
pl
|
|
integer :: p
|
|
|
|
phases => config_material%get('phase')
|
|
allocate(active_plastic(phases%length), source = .false. )
|
|
do p = 1, phases%length
|
|
phase => phases%get(p)
|
|
mech => phase%get('mechanics')
|
|
pl => mech%get('plasticity')
|
|
if(pl%get_asString('type') == plastic_label) active_plastic(p) = .true.
|
|
enddo
|
|
|
|
end function plastic_active
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief returns the 2nd Piola-Kirchhoff stress tensor and its tangent with respect to
|
|
!> the elastic and intermediate deformation gradients using Hooke's law
|
|
!--------------------------------------------------------------------------------------------------
|
|
module subroutine constitutive_hooke_SandItsTangents(S, dS_dFe, dS_dFi, &
|
|
Fe, Fi, ipc, ip, el)
|
|
|
|
integer, intent(in) :: &
|
|
ipc, & !< component-ID of integration point
|
|
ip, & !< integration point
|
|
el !< element
|
|
real(pReal), intent(in), dimension(3,3) :: &
|
|
Fe, & !< elastic deformation gradient
|
|
Fi !< intermediate deformation gradient
|
|
real(pReal), intent(out), dimension(3,3) :: &
|
|
S !< 2nd Piola-Kirchhoff stress tensor in lattice configuration
|
|
real(pReal), intent(out), dimension(3,3,3,3) :: &
|
|
dS_dFe, & !< derivative of 2nd P-K stress with respect to elastic deformation gradient
|
|
dS_dFi !< derivative of 2nd P-K stress with respect to intermediate deformation gradient
|
|
real(pReal), dimension(3,3) :: E
|
|
real(pReal), dimension(3,3,3,3) :: C
|
|
integer :: &
|
|
ho, & !< homogenization
|
|
d !< counter in degradation loop
|
|
integer :: &
|
|
i, j
|
|
|
|
ho = material_homogenizationAt(el)
|
|
C = math_66toSym3333(constitutive_homogenizedC(ipc,ip,el))
|
|
|
|
DegradationLoop: do d = 1, phase_NstiffnessDegradations(material_phaseAt(ipc,el))
|
|
degradationType: select case(phase_stiffnessDegradation(d,material_phaseAt(ipc,el)))
|
|
case (STIFFNESS_DEGRADATION_damage_ID) degradationType
|
|
C = C * damage(ho)%p(damageMapping(ho)%p(ip,el))**2
|
|
end select degradationType
|
|
enddo DegradationLoop
|
|
|
|
E = 0.5_pReal*(matmul(transpose(Fe),Fe)-math_I3) !< Green-Lagrange strain in unloaded configuration
|
|
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
|
|
|
|
do i =1, 3;do j=1,3
|
|
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
|
|
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
|
|
enddo; enddo
|
|
|
|
end subroutine constitutive_hooke_SandItsTangents
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief calls microstructure function of the different plasticity constitutive models
|
|
!--------------------------------------------------------------------------------------------------
|
|
module subroutine constitutive_plastic_dependentState(F, Fp, ipc, ip, el)
|
|
|
|
integer, intent(in) :: &
|
|
ipc, & !< component-ID of integration point
|
|
ip, & !< integration point
|
|
el !< element
|
|
real(pReal), intent(in), dimension(3,3) :: &
|
|
F, & !< elastic deformation gradient
|
|
Fp !< plastic deformation gradient
|
|
|
|
integer :: &
|
|
ho, & !< homogenization
|
|
tme, & !< thermal member position
|
|
instance, of
|
|
|
|
ho = material_homogenizationAt(el)
|
|
tme = thermalMapping(ho)%p(ip,el)
|
|
of = material_phasememberAt(ipc,ip,el)
|
|
instance = phase_plasticityInstance(material_phaseAt(ipc,el))
|
|
|
|
plasticityType: select case (phase_plasticity(material_phaseAt(ipc,el)))
|
|
case (PLASTICITY_DISLOTWIN_ID) plasticityType
|
|
call plastic_dislotwin_dependentState(temperature(ho)%p(tme),instance,of)
|
|
case (PLASTICITY_DISLOTUNGSTEN_ID) plasticityType
|
|
call plastic_disloTungsten_dependentState(instance,of)
|
|
case (PLASTICITY_NONLOCAL_ID) plasticityType
|
|
call plastic_nonlocal_dependentState (F,Fp,instance,of,ip,el)
|
|
end select plasticityType
|
|
|
|
end subroutine constitutive_plastic_dependentState
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------------
|
|
!> @brief contains the constitutive equation for calculating the velocity gradient
|
|
! ToDo: Discuss whether it makes sense if crystallite handles the configuration conversion, i.e.
|
|
! Mp in, dLp_dMp out
|
|
!--------------------------------------------------------------------------------------------------
|
|
module subroutine constitutive_plastic_LpAndItsTangents(Lp, dLp_dS, dLp_dFi, &
|
|
S, Fi, ipc, ip, el)
|
|
integer, intent(in) :: &
|
|
ipc, & !< component-ID of integration point
|
|
ip, & !< integration point
|
|
el !< element
|
|
real(pReal), intent(in), dimension(3,3) :: &
|
|
S, & !< 2nd Piola-Kirchhoff stress
|
|
Fi !< intermediate deformation gradient
|
|
real(pReal), intent(out), dimension(3,3) :: &
|
|
Lp !< plastic velocity gradient
|
|
real(pReal), intent(out), dimension(3,3,3,3) :: &
|
|
dLp_dS, &
|
|
dLp_dFi !< derivative of Lp with respect to Fi
|
|
|
|
real(pReal), dimension(3,3,3,3) :: &
|
|
dLp_dMp !< derivative of Lp with respect to Mandel stress
|
|
real(pReal), dimension(3,3) :: &
|
|
Mp !< Mandel stress work conjugate with Lp
|
|
integer :: &
|
|
ho, & !< homogenization
|
|
tme !< thermal member position
|
|
integer :: &
|
|
i, j, instance, of
|
|
|
|
ho = material_homogenizationAt(el)
|
|
tme = thermalMapping(ho)%p(ip,el)
|
|
|
|
Mp = matmul(matmul(transpose(Fi),Fi),S)
|
|
of = material_phasememberAt(ipc,ip,el)
|
|
instance = phase_plasticityInstance(material_phaseAt(ipc,el))
|
|
|
|
plasticityType: select case (phase_plasticity(material_phaseAt(ipc,el)))
|
|
|
|
case (PLASTICITY_NONE_ID) plasticityType
|
|
Lp = 0.0_pReal
|
|
dLp_dMp = 0.0_pReal
|
|
|
|
case (PLASTICITY_ISOTROPIC_ID) plasticityType
|
|
call plastic_isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
|
|
|
|
case (PLASTICITY_PHENOPOWERLAW_ID) plasticityType
|
|
call plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
|
|
|
|
case (PLASTICITY_KINEHARDENING_ID) plasticityType
|
|
call plastic_kinehardening_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
|
|
|
|
case (PLASTICITY_NONLOCAL_ID) plasticityType
|
|
call plastic_nonlocal_LpAndItsTangent(Lp,dLp_dMp,Mp, temperature(ho)%p(tme),instance,of,ip,el)
|
|
|
|
case (PLASTICITY_DISLOTWIN_ID) plasticityType
|
|
call plastic_dislotwin_LpAndItsTangent(Lp,dLp_dMp,Mp,temperature(ho)%p(tme),instance,of)
|
|
|
|
case (PLASTICITY_DISLOTUNGSTEN_ID) plasticityType
|
|
call plastic_disloTungsten_LpAndItsTangent(Lp,dLp_dMp,Mp,temperature(ho)%p(tme),instance,of)
|
|
|
|
end select plasticityType
|
|
|
|
do i=1,3; do j=1,3
|
|
dLp_dFi(i,j,1:3,1:3) = matmul(matmul(Fi,S),transpose(dLp_dMp(i,j,1:3,1:3))) + &
|
|
matmul(matmul(Fi,dLp_dMp(i,j,1:3,1:3)),S)
|
|
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)
|
|
enddo; enddo
|
|
|
|
end subroutine constitutive_plastic_LpAndItsTangents
|
|
|
|
|
|
!--------------------------------------------------------------------------------------------
|
|
!> @brief writes plasticity constitutive results to HDF5 output file
|
|
!--------------------------------------------------------------------------------------------
|
|
module subroutine plastic_results
|
|
|
|
integer :: p
|
|
character(len=pStringLen) :: group
|
|
|
|
plasticityLoop: do p=1,size(material_name_phase)
|
|
group = trim('current/constituent')//'/'//trim(material_name_phase(p))
|
|
call results_closeGroup(results_addGroup(group))
|
|
|
|
group = trim(group)//'/plastic'
|
|
|
|
call results_closeGroup(results_addGroup(group))
|
|
select case(phase_plasticity(p))
|
|
|
|
case(PLASTICITY_ISOTROPIC_ID)
|
|
call plastic_isotropic_results(phase_plasticityInstance(p),group)
|
|
|
|
case(PLASTICITY_PHENOPOWERLAW_ID)
|
|
call plastic_phenopowerlaw_results(phase_plasticityInstance(p),group)
|
|
|
|
case(PLASTICITY_KINEHARDENING_ID)
|
|
call plastic_kinehardening_results(phase_plasticityInstance(p),group)
|
|
|
|
case(PLASTICITY_DISLOTWIN_ID)
|
|
call plastic_dislotwin_results(phase_plasticityInstance(p),group)
|
|
|
|
case(PLASTICITY_DISLOTUNGSTEN_ID)
|
|
call plastic_disloTungsten_results(phase_plasticityInstance(p),group)
|
|
|
|
case(PLASTICITY_NONLOCAL_ID)
|
|
call plastic_nonlocal_results(phase_plasticityInstance(p),group)
|
|
end select
|
|
|
|
enddo plasticityLoop
|
|
|
|
end subroutine plastic_results
|
|
|
|
end submodule constitutive_mech
|
|
|