DAMASK_EICMD/src/phase_mechanical_elastic.f90

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2021-03-16 21:50:24 +05:30
submodule(phase:mechanical) elastic
enum, bind(c); enumerator :: &
ELASTICITY_UNDEFINED_ID, &
ELASTICITY_HOOKE_ID, &
STIFFNESS_DEGRADATION_UNDEFINED_ID, &
STIFFNESS_DEGRADATION_DAMAGE_ID
end enum
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integer, dimension(:), allocatable :: &
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phase_NstiffnessDegradations
integer(kind(ELASTICITY_UNDEFINED_ID)), dimension(:), allocatable :: &
phase_elasticity !< elasticity of each phase
integer(kind(STIFFNESS_DEGRADATION_UNDEFINED_ID)), dimension(:,:), allocatable :: &
phase_stiffnessDegradation !< active stiffness degradation mechanisms of each phase
contains
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module subroutine elastic_init(phases)
class(tNode), pointer :: &
phases
integer :: &
ph, &
stiffDegradationCtr
class(tNode), pointer :: &
phase, &
mech, &
elastic, &
stiffDegradation
print'(/,a)', ' <<<+- phase:mechanical:elastic init -+>>>'
allocate(phase_elasticity(phases%length), source = ELASTICITY_undefined_ID)
allocate(phase_NstiffnessDegradations(phases%length),source=0)
do ph = 1, phases%length
phase => phases%get(ph)
mech => phase%get('mechanical')
elastic => mech%get('elastic')
if(elastic%get_asString('type') == 'hooke') then
phase_elasticity(ph) = 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(ph) = stiffDegradation%length
enddo
allocate(phase_stiffnessDegradation(maxval(phase_NstiffnessDegradations),phases%length), &
source=STIFFNESS_DEGRADATION_undefined_ID)
if(maxVal(phase_NstiffnessDegradations)/=0) then
do ph = 1, phases%length
phase => phases%get(ph)
mech => phase%get('mechanical')
stiffDegradation => mech%get('stiffness_degradation',defaultVal=emptyList)
do stiffDegradationCtr = 1, stiffDegradation%length
if(stiffDegradation%get_asString(stiffDegradationCtr) == 'damage') &
phase_stiffnessDegradation(stiffDegradationCtr,ph) = STIFFNESS_DEGRADATION_damage_ID
enddo
enddo
endif
end subroutine elastic_init
!--------------------------------------------------------------------------------------------------
!> @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 phase_hooke_SandItsTangents(S, dS_dFe, dS_dFi, &
Fe, Fi, ph, me)
integer, intent(in) :: &
ph, &
me
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 :: &
d, & !< counter in degradation loop
i, j
C = math_66toSym3333(phase_homogenizedC(ph,me))
DegradationLoop: do d = 1, phase_NstiffnessDegradations(ph)
degradationType: select case(phase_stiffnessDegradation(d,ph))
case (STIFFNESS_DEGRADATION_damage_ID) degradationType
C = C * damage_phi(ph,me)**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 phase_hooke_SandItsTangents
end submodule elastic