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!--------------------------------------------------------------------------------------------------
!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH
!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
!> @brief CPFEM engine
!--------------------------------------------------------------------------------------------------
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module CPFEM
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use prec , only : &
pReal , &
pInt
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implicit none
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private
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real ( pReal ) , parameter , private :: &
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CPFEM_odd_stress = 1e15_pReal , & !< return value for stress in case of ping pong dummy cycle
CPFEM_odd_jacobian = 1e50_pReal !< return value for jacobian in case of ping pong dummy cycle
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real ( pReal ) , dimension ( : , : , : ) , allocatable , private :: &
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CPFEM_cs !< Cauchy stress
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real ( pReal ) , dimension ( : , : , : , : ) , allocatable , private :: &
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CPFEM_dcsdE !< Cauchy stress tangent
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real ( pReal ) , dimension ( : , : , : , : ) , allocatable , private :: &
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CPFEM_dcsdE_knownGood !< known good tangent
integer ( pInt ) , public :: &
cycleCounter = 0_pInt , & !< needs description
theInc = - 1_pInt , & !< needs description
lastLovl = 0_pInt , & !< lovl in previous call to marc hypela2
lastStep = 0_pInt !< kstep in previous call to abaqus umat
real ( pReal ) , public :: &
theTime = 0.0_pReal , & !< needs description
theDelta = 0.0_pReal
logical , public :: &
outdatedFFN1 = . false . , & !< needs description
lastIncConverged = . false . , & !< needs description
outdatedByNewInc = . false . !< needs description
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logical , public , protected :: &
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CPFEM_init_done = . false . !< remember whether init has been done already
logical , private :: &
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CPFEM_calc_done = . false . !< remember whether first ip has already calced the results
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integer ( pInt ) , parameter , public :: &
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CPFEM_COLLECT = 2_pInt ** 0_pInt , &
CPFEM_CALCRESULTS = 2_pInt ** 1_pInt , &
CPFEM_AGERESULTS = 2_pInt ** 2_pInt , &
CPFEM_BACKUPJACOBIAN = 2_pInt ** 3_pInt , &
CPFEM_RESTOREJACOBIAN = 2_pInt ** 4_pInt
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public :: &
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CPFEM_general , &
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CPFEM_initAll
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contains
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!--------------------------------------------------------------------------------------------------
!> @brief call (thread safe) all module initializations
!--------------------------------------------------------------------------------------------------
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subroutine CPFEM_initAll ( el , ip )
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use prec , only : &
prec_init
use numerics , only : &
numerics_init
use debug , only : &
debug_init
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use config , only : &
config_init
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use FEsolving , only : &
FE_init
use math , only : &
math_init
use mesh , only : &
mesh_init
use material , only : &
material_init
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#ifdef DAMASK_HDF5
use HDF5_utilities , only : &
HDF5_utilities_init
use results , only : &
results_init
#endif
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use lattice , only : &
lattice_init
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use constitutive , only : &
constitutive_init
use crystallite , only : &
crystallite_init
use homogenization , only : &
homogenization_init
use IO , only : &
IO_init
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use DAMASK_interface
implicit none
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integer ( pInt ) , intent ( in ) :: el , & !< FE el number
ip !< FE integration point number
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!$OMP CRITICAL (init)
if ( . not . CPFEM_init_done ) then
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call DAMASK_interface_init ! Spectral and FEM interface to commandline
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call prec_init
call IO_init
call numerics_init
call debug_init
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call config_init
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call math_init
call FE_init
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call mesh_init ( ip , el )
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call lattice_init
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#ifdef DAMASK_HDF5
call HDF5_utilities_init
call results_init
#endif
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call material_init
call constitutive_init
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call crystallite_init
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call homogenization_init
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call CPFEM_init
CPFEM_init_done = . true .
endif
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!$OMP END CRITICAL (init)
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end subroutine CPFEM_initAll
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!--------------------------------------------------------------------------------------------------
!> @brief allocate the arrays defined in module CPFEM and initialize them
!--------------------------------------------------------------------------------------------------
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subroutine CPFEM_init
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use IO , only : &
IO_error
use debug , only : &
debug_level , &
debug_CPFEM , &
debug_levelBasic , &
debug_levelExtensive
use FEsolving , only : &
symmetricSolver , &
restartRead , &
modelName
use mesh , only : &
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theMesh
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use material , only : &
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material_phase , &
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homogState , &
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phase_plasticity , &
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plasticState
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use config , only : &
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material_Nhomogenization
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use crystallite , only : &
crystallite_F0 , &
crystallite_Fp0 , &
crystallite_Lp0 , &
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crystallite_Fi0 , &
crystallite_Li0 , &
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crystallite_S0
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implicit none
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integer :: k , l , m , ph , homog
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write ( 6 , '(/,a)' ) ' <<<+- CPFEM init -+>>>'
flush ( 6 )
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allocate ( CPFEM_cs ( 6 , theMesh % elem % nIPs , theMesh % Nelems ) , source = 0.0_pReal )
allocate ( CPFEM_dcsdE ( 6 , 6 , theMesh % elem % nIPs , theMesh % Nelems ) , source = 0.0_pReal )
allocate ( CPFEM_dcsdE_knownGood ( 6 , 6 , theMesh % elem % nIPs , theMesh % Nelems ) , source = 0.0_pReal )
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! *** restore the last converged values of each essential variable from the binary file
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!if (restartRead) then
! if (iand(debug_level(debug_CPFEM), debug_levelExtensive) /= 0_pInt) then
! write(6,'(a)') '<< CPFEM >> restored state variables of last converged step from binary files'
! flush(6)
! endif
! call IO_read_intFile(777,'recordedPhase'//trim(rankStr),modelName,size(material_phase))
! read (777,rec=1) material_phase
! close (777)
! call IO_read_realFile(777,'convergedF'//trim(rankStr),modelName,size(crystallite_F0))
! read (777,rec=1) crystallite_F0
! close (777)
! call IO_read_realFile(777,'convergedFp'//trim(rankStr),modelName,size(crystallite_Fp0))
! read (777,rec=1) crystallite_Fp0
! close (777)
! call IO_read_realFile(777,'convergedFi'//trim(rankStr),modelName,size(crystallite_Fi0))
! read (777,rec=1) crystallite_Fi0
! close (777)
! call IO_read_realFile(777,'convergedLp'//trim(rankStr),modelName,size(crystallite_Lp0))
! read (777,rec=1) crystallite_Lp0
! close (777)
! call IO_read_realFile(777,'convergedLi'//trim(rankStr),modelName,size(crystallite_Li0))
! read (777,rec=1) crystallite_Li0
! close (777)
! call IO_read_realFile(777,'convergedTstar'//trim(rankStr),modelName,size(crystallite_Tstar0_v))
! read (777,rec=1) crystallite_Tstar0_v
! close (777)
! call IO_read_realFile(777,'convergedStateConst'//trim(rankStr),modelName)
! m = 0_pInt
! readPlasticityInstances: do ph = 1_pInt, size(phase_plasticity)
! do k = 1_pInt, plasticState(ph)%sizeState
! do l = 1, size(plasticState(ph)%state0(1,:))
! m = m+1_pInt
! read(777,rec=m) plasticState(ph)%state0(k,l)
! enddo; enddo
! enddo readPlasticityInstances
! close (777)
! call IO_read_realFile(777,'convergedStateHomog'//trim(rankStr),modelName)
! m = 0_pInt
! readHomogInstances: do homog = 1_pInt, material_Nhomogenization
! do k = 1_pInt, homogState(homog)%sizeState
! do l = 1, size(homogState(homog)%state0(1,:))
! m = m+1_pInt
! read(777,rec=m) homogState(homog)%state0(k,l)
! enddo; enddo
! enddo readHomogInstances
! close (777)
! call IO_read_realFile(777,'convergeddcsdE',modelName,size(CPFEM_dcsdE))
! read (777,rec=1) CPFEM_dcsdE
! close (777)
! restartRead = .false.
!endif
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if ( iand ( debug_level ( debug_CPFEM ) , debug_levelBasic ) / = 0 ) then
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write ( 6 , '(a32,1x,6(i8,1x))' ) 'CPFEM_cs: ' , shape ( CPFEM_cs )
write ( 6 , '(a32,1x,6(i8,1x))' ) 'CPFEM_dcsdE: ' , shape ( CPFEM_dcsdE )
write ( 6 , '(a32,1x,6(i8,1x),/)' ) 'CPFEM_dcsdE_knownGood: ' , shape ( CPFEM_dcsdE_knownGood )
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write ( 6 , '(a32,l1)' ) 'symmetricSolver: ' , symmetricSolver
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flush ( 6 )
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endif
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end subroutine CPFEM_init
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!--------------------------------------------------------------------------------------------------
!> @brief perform initialization at first call, update variables and call the actual material model
!--------------------------------------------------------------------------------------------------
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subroutine CPFEM_general ( mode , parallelExecution , ffn , ffn1 , temperature_inp , dt , elFE , ip , cauchyStress , jacobian )
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use numerics , only : &
defgradTolerance , &
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iJacoStiffness
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use debug , only : &
debug_level , &
debug_CPFEM , &
debug_levelBasic , &
debug_levelExtensive , &
debug_levelSelective , &
debug_stressMaxLocation , &
debug_stressMinLocation , &
debug_jacobianMaxLocation , &
debug_jacobianMinLocation , &
debug_stressMax , &
debug_stressMin , &
debug_jacobianMax , &
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debug_jacobianMin , &
debug_e , &
debug_i
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use FEsolving , only : &
terminallyIll , &
FEsolving_execElem , &
FEsolving_execIP , &
restartWrite
use math , only : &
math_identity2nd , &
math_det33 , &
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math_delta , &
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math_sym3333to66 , &
math_66toSym3333 , &
math_sym33to6 , &
math_6toSym33
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use mesh , only : &
mesh_FEasCP , &
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theMesh , &
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mesh_element
use material , only : &
microstructure_elemhomo , &
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plasticState , &
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sourceState , &
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homogState , &
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thermalState , &
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damageState , &
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phaseAt , phasememberAt , &
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material_phase , &
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phase_plasticity , &
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temperature , &
thermalMapping , &
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thermal_type , &
THERMAL_conduction_ID , &
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phase_Nsources , &
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material_homogenizationAt
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use config , only : &
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material_Nhomogenization
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use crystallite , only : &
crystallite_partionedF , &
crystallite_F0 , &
crystallite_Fp0 , &
crystallite_Fp , &
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crystallite_Fi0 , &
crystallite_Fi , &
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crystallite_Lp0 , &
crystallite_Lp , &
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crystallite_Li0 , &
crystallite_Li , &
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crystallite_dPdF , &
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crystallite_S0 , &
crystallite_S
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use homogenization , only : &
materialpoint_F , &
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materialpoint_F0 , &
materialpoint_P , &
materialpoint_dPdF , &
materialpoint_results , &
materialpoint_sizeResults , &
materialpoint_stressAndItsTangent , &
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materialpoint_postResults
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use IO , only : &
IO_warning
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use DAMASK_interface
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implicit none
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integer ( pInt ) , intent ( in ) :: elFE , & !< FE element number
ip !< integration point number
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real ( pReal ) , intent ( in ) :: dt !< time increment
real ( pReal ) , dimension ( 3 , 3 ) , intent ( in ) :: ffn , & !< deformation gradient for t=t0
ffn1 !< deformation gradient for t=t1
integer ( pInt ) , intent ( in ) :: mode !< computation mode 1: regular computation plus aging of results
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real ( pReal ) , intent ( in ) :: temperature_inp !< temperature
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logical , intent ( in ) :: parallelExecution !< flag indicating parallel computation of requested IPs
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real ( pReal ) , dimension ( 6 ) , intent ( out ) :: cauchyStress !< stress as 6 vector
real ( pReal ) , dimension ( 6 , 6 ) , intent ( out ) :: jacobian !< jacobian as 66 tensor (Consistent tangent dcs/dE)
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real ( pReal ) J_inverse , & ! inverse of Jacobian
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rnd
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real ( pReal ) , dimension ( 3 , 3 ) :: Kirchhoff , & ! Piola-Kirchhoff stress in Matrix notation
cauchyStress33 ! stress vector in Matrix notation
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real ( pReal ) , dimension ( 3 , 3 , 3 , 3 ) :: H_sym , &
H , &
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jacobian3333 ! jacobian in Matrix notation
integer ( pInt ) elCP , & ! crystal plasticity element number
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i , j , k , l , m , n , ph , homog , mySource
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logical updateJaco ! flag indicating if JAcobian has to be updated
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elCP = mesh_FEasCP ( 'elem' , elFE )
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if ( iand ( debug_level ( debug_CPFEM ) , debug_levelBasic ) / = 0_pInt &
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. and . elCP == debug_e . and . ip == debug_i ) then
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write ( 6 , '(/,a)' ) '#############################################'
write ( 6 , '(a1,a22,1x,i8,a13)' ) '#' , 'element' , elCP , '#'
write ( 6 , '(a1,a22,1x,i8,a13)' ) '#' , 'ip' , ip , '#'
write ( 6 , '(a1,a22,1x,f15.7,a6)' ) '#' , 'theTime' , theTime , '#'
write ( 6 , '(a1,a22,1x,f15.7,a6)' ) '#' , 'theDelta' , theDelta , '#'
write ( 6 , '(a1,a22,1x,i8,a13)' ) '#' , 'theInc' , theInc , '#'
write ( 6 , '(a1,a22,1x,i8,a13)' ) '#' , 'cycleCounter' , cycleCounter , '#'
write ( 6 , '(a1,a22,1x,i8,a13)' ) '#' , 'computationMode' , mode , '#'
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if ( terminallyIll ) &
write ( 6 , '(a,/)' ) '# --- terminallyIll --- #'
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write ( 6 , '(a,/)' ) '#############################################' ; flush ( 6 )
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endif
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if ( iand ( mode , CPFEM_BACKUPJACOBIAN ) / = 0_pInt ) &
CPFEM_dcsde_knownGood = CPFEM_dcsde
if ( iand ( mode , CPFEM_RESTOREJACOBIAN ) / = 0_pInt ) &
CPFEM_dcsde = CPFEM_dcsde_knownGood
!*** age results and write restart data if requested
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if ( iand ( mode , CPFEM_AGERESULTS ) / = 0_pInt ) then
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crystallite_F0 = crystallite_partionedF ! crystallite deformation (_subF is perturbed...)
crystallite_Fp0 = crystallite_Fp ! crystallite plastic deformation
crystallite_Lp0 = crystallite_Lp ! crystallite plastic velocity
crystallite_Fi0 = crystallite_Fi ! crystallite intermediate deformation
crystallite_Li0 = crystallite_Li ! crystallite intermediate velocity
crystallite_S0 = crystallite_S ! crystallite 2nd Piola Kirchhoff stress
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forall ( i = 1 : size ( plasticState ) ) plasticState ( i ) % state0 = plasticState ( i ) % state ! copy state in this lenghty way because: A component cannot be an array if the encompassing structure is an array
do i = 1 , size ( sourceState )
do mySource = 1 , phase_Nsources ( i )
sourceState ( i ) % p ( mySource ) % state0 = sourceState ( i ) % p ( mySource ) % state ! copy state in this lenghty way because: A component cannot be an array if the encompassing structure is an array
enddo ; enddo
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if ( iand ( debug_level ( debug_CPFEM ) , debug_levelBasic ) / = 0_pInt ) then
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write ( 6 , '(a)' ) '<< CPFEM >> aging states'
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if ( debug_e < = theMesh % Nelems . and . debug_i < = theMesh % elem % nIPs ) then
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write ( 6 , '(a,1x,i8,1x,i2,1x,i4,/,(12x,6(e20.8,1x)),/)' ) &
'<< CPFEM >> aged state of elFE ip grain' , debug_e , debug_i , 1 , &
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plasticState ( phaseAt ( 1 , debug_i , debug_e ) ) % state ( : , phasememberAt ( 1 , debug_i , debug_e ) )
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endif
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endif
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do homog = 1_pInt , material_Nhomogenization
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homogState ( homog ) % state0 = homogState ( homog ) % state
thermalState ( homog ) % state0 = thermalState ( homog ) % state
damageState ( homog ) % state0 = damageState ( homog ) % state
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enddo
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! * dump the last converged values of each essential variable to a binary file
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!if (restartWrite) then
! if (iand(debug_level(debug_CPFEM), debug_levelBasic) /= 0_pInt) &
! write(6,'(a)') '<< CPFEM >> writing state variables of last converged step to binary files'
!
! call IO_write_jobRealFile(777,'recordedPhase'//trim(rankStr),size(material_phase))
! write (777,rec=1) material_phase
! close (777)
! call IO_write_jobRealFile(777,'convergedF'//trim(rankStr),size(crystallite_F0))
! write (777,rec=1) crystallite_F0
! close (777)
! call IO_write_jobRealFile(777,'convergedFp'//trim(rankStr),size(crystallite_Fp0))
! write (777,rec=1) crystallite_Fp0
! close (777)
! call IO_write_jobRealFile(777,'convergedFi'//trim(rankStr),size(crystallite_Fi0))
! write (777,rec=1) crystallite_Fi0
! close (777)
! call IO_write_jobRealFile(777,'convergedLp'//trim(rankStr),size(crystallite_Lp0))
! write (777,rec=1) crystallite_Lp0
! close (777)
! call IO_write_jobRealFile(777,'convergedLi'//trim(rankStr),size(crystallite_Li0))
! write (777,rec=1) crystallite_Li0
! close (777)
! call IO_write_jobRealFile(777,'convergedTstar'//trim(rankStr),size(crystallite_Tstar0_v))
! write (777,rec=1) crystallite_Tstar0_v
! close (777)
! call IO_write_jobRealFile(777,'convergedStateConst'//trim(rankStr))
! m = 0_pInt
! writePlasticityInstances: do ph = 1_pInt, size(phase_plasticity)
! do k = 1_pInt, plasticState(ph)%sizeState
! do l = 1, size(plasticState(ph)%state0(1,:))
! m = m+1_pInt
! write(777,rec=m) plasticState(ph)%state0(k,l)
! enddo; enddo
! enddo writePlasticityInstances
! close (777)
! call IO_write_jobRealFile(777,'convergedStateHomog'//trim(rankStr))
! m = 0_pInt
! writeHomogInstances: do homog = 1_pInt, material_Nhomogenization
! do k = 1_pInt, homogState(homog)%sizeState
! do l = 1, size(homogState(homog)%state0(1,:))
! m = m+1_pInt
! write(777,rec=m) homogState(homog)%state0(k,l)
! enddo; enddo
! enddo writeHomogInstances
! close (777)
! call IO_write_jobRealFile(777,'convergeddcsdE',size(CPFEM_dcsdE))
! write (777,rec=1) CPFEM_dcsdE
! close (777)
!endif
endif
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!*** collection of FEM input with returning of randomize odd stress and jacobian
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!* If no parallel execution is required, there is no need to collect FEM input
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if ( . not . parallelExecution ) then
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chosenThermal1 : select case ( thermal_type ( mesh_element ( 3 , elCP ) ) )
case ( THERMAL_conduction_ID ) chosenThermal1
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temperature ( material_homogenizationAt ( elCP ) ) % p ( thermalMapping ( material_homogenizationAt ( elCP ) ) % p ( ip , elCP ) ) = &
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temperature_inp
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end select chosenThermal1
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materialpoint_F0 ( 1 : 3 , 1 : 3 , ip , elCP ) = ffn
materialpoint_F ( 1 : 3 , 1 : 3 , ip , elCP ) = ffn1
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elseif ( iand ( mode , CPFEM_COLLECT ) / = 0_pInt ) then
call random_number ( rnd )
if ( rnd < 0.5_pReal ) rnd = rnd - 1.0_pReal
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CPFEM_cs ( 1 : 6 , ip , elCP ) = rnd * CPFEM_odd_stress
CPFEM_dcsde ( 1 : 6 , 1 : 6 , ip , elCP ) = CPFEM_odd_jacobian * math_identity2nd ( 6 )
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chosenThermal2 : select case ( thermal_type ( mesh_element ( 3 , elCP ) ) )
case ( THERMAL_conduction_ID ) chosenThermal2
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temperature ( material_homogenizationAt ( elCP ) ) % p ( thermalMapping ( material_homogenizationAt ( elCP ) ) % p ( ip , elCP ) ) = &
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temperature_inp
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end select chosenThermal2
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materialpoint_F0 ( 1 : 3 , 1 : 3 , ip , elCP ) = ffn
materialpoint_F ( 1 : 3 , 1 : 3 , ip , elCP ) = ffn1
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CPFEM_calc_done = . false .
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endif ! collection
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!*** calculation of stress and jacobian
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if ( iand ( mode , CPFEM_CALCRESULTS ) / = 0_pInt ) then
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!*** deformation gradient outdated or any actual deformation gradient differs more than relevantStrain from the stored one
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validCalculation : if ( terminallyIll &
. or . outdatedFFN1 &
. or . any ( abs ( ffn1 - materialpoint_F ( 1 : 3 , 1 : 3 , ip , elCP ) ) > defgradTolerance ) ) then
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if ( any ( abs ( ffn1 - materialpoint_F ( 1 : 3 , 1 : 3 , ip , elCP ) ) > defgradTolerance ) ) then
if ( iand ( debug_level ( debug_CPFEM ) , debug_levelBasic ) / = 0_pInt ) then
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write ( 6 , '(a,1x,i8,1x,i2)' ) '<< CPFEM >> OUTDATED at elFE ip' , elFE , ip
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write ( 6 , '(a,/,3(12x,3(f10.6,1x),/))' ) '<< CPFEM >> FFN1 old:' , &
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transpose ( materialpoint_F ( 1 : 3 , 1 : 3 , ip , elCP ) )
write ( 6 , '(a,/,3(12x,3(f10.6,1x),/))' ) '<< CPFEM >> FFN1 now:' , transpose ( ffn1 )
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endif
outdatedFFN1 = . true .
endif
call random_number ( rnd )
if ( rnd < 0.5_pReal ) rnd = rnd - 1.0_pReal
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CPFEM_cs ( 1 : 6 , ip , elCP ) = rnd * CPFEM_odd_stress
CPFEM_dcsde ( 1 : 6 , 1 : 6 , ip , elCP ) = CPFEM_odd_jacobian * math_identity2nd ( 6 )
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!*** deformation gradient is not outdated
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else validCalculation
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updateJaco = mod ( cycleCounter , iJacoStiffness ) == 0
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!* no parallel computation, so we use just one single elFE and ip for computation
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if ( . not . parallelExecution ) then
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FEsolving_execElem ( 1 ) = elCP
FEsolving_execElem ( 2 ) = elCP
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if ( . not . microstructure_elemhomo ( mesh_element ( 4 , elCP ) ) . or . & ! calculate unless homogeneous
( microstructure_elemhomo ( mesh_element ( 4 , elCP ) ) . and . ip == 1_pInt ) ) then ! and then only first ip
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FEsolving_execIP ( 1 , elCP ) = ip
FEsolving_execIP ( 2 , elCP ) = ip
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if ( iand ( debug_level ( debug_CPFEM ) , debug_levelExtensive ) / = 0_pInt ) &
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write ( 6 , '(a,i8,1x,i2)' ) '<< CPFEM >> calculation for elFE ip ' , elFE , ip
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call materialpoint_stressAndItsTangent ( updateJaco , dt ) ! calculate stress and its tangent
call materialpoint_postResults ( )
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endif
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!* parallel computation and calulation not yet done
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elseif ( . not . CPFEM_calc_done ) then
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if ( iand ( debug_level ( debug_CPFEM ) , debug_levelExtensive ) / = 0_pInt ) &
write ( 6 , '(a,i8,a,i8)' ) '<< CPFEM >> calculation for elements ' , FEsolving_execElem ( 1 ) , &
' to ' , FEsolving_execElem ( 2 )
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call materialpoint_stressAndItsTangent ( updateJaco , dt ) ! calculate stress and its tangent (parallel execution inside)
call materialpoint_postResults ( )
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CPFEM_calc_done = . true .
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endif
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!* map stress and stiffness (or return odd values if terminally ill)
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terminalIllness : if ( terminallyIll ) then
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call random_number ( rnd )
if ( rnd < 0.5_pReal ) rnd = rnd - 1.0_pReal
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CPFEM_cs ( 1 : 6 , ip , elCP ) = rnd * CPFEM_odd_stress
CPFEM_dcsde ( 1 : 6 , 1 : 6 , ip , elCP ) = CPFEM_odd_jacobian * math_identity2nd ( 6 )
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else terminalIllness
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if ( microstructure_elemhomo ( mesh_element ( 4 , elCP ) ) . and . ip > 1_pInt ) then ! me homogenous? --> copy from first ip
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materialpoint_P ( 1 : 3 , 1 : 3 , ip , elCP ) = materialpoint_P ( 1 : 3 , 1 : 3 , 1 , elCP )
materialpoint_F ( 1 : 3 , 1 : 3 , ip , elCP ) = materialpoint_F ( 1 : 3 , 1 : 3 , 1 , elCP )
materialpoint_dPdF ( 1 : 3 , 1 : 3 , 1 : 3 , 1 : 3 , ip , elCP ) = materialpoint_dPdF ( 1 : 3 , 1 : 3 , 1 : 3 , 1 : 3 , 1 , elCP )
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materialpoint_results ( 1 : materialpoint_sizeResults , ip , elCP ) = &
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materialpoint_results ( 1 : materialpoint_sizeResults , 1 , elCP )
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endif
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! translate from P to CS
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Kirchhoff = matmul ( materialpoint_P ( 1 : 3 , 1 : 3 , ip , elCP ) , transpose ( materialpoint_F ( 1 : 3 , 1 : 3 , ip , elCP ) ) )
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J_inverse = 1.0_pReal / math_det33 ( materialpoint_F ( 1 : 3 , 1 : 3 , ip , elCP ) )
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CPFEM_cs ( 1 : 6 , ip , elCP ) = math_sym33to6 ( J_inverse * Kirchhoff , weighted = . false . )
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! translate from dP/dF to dCS/dE
H = 0.0_pReal
do i = 1 , 3 ; do j = 1 , 3 ; do k = 1 , 3 ; do l = 1 , 3 ; do m = 1 , 3 ; do n = 1 , 3
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H ( i , j , k , l ) = H ( i , j , k , l ) &
+ materialpoint_F ( j , m , ip , elCP ) * materialpoint_F ( l , n , ip , elCP ) &
* materialpoint_dPdF ( i , m , k , n , ip , elCP ) &
- math_delta ( j , l ) * materialpoint_F ( i , m , ip , elCP ) * materialpoint_P ( k , m , ip , elCP ) &
+ 0.5_pReal * ( Kirchhoff ( j , l ) * math_delta ( i , k ) + Kirchhoff ( i , k ) * math_delta ( j , l ) &
+ Kirchhoff ( j , k ) * math_delta ( i , l ) + Kirchhoff ( i , l ) * math_delta ( j , k ) )
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enddo ; enddo ; enddo ; enddo ; enddo ; enddo
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forall ( i = 1 : 3 , j = 1 : 3 , k = 1 : 3 , l = 1 : 3 ) &
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H_sym ( i , j , k , l ) = 0.25_pReal * ( H ( i , j , k , l ) + H ( j , i , k , l ) + H ( i , j , l , k ) + H ( j , i , l , k ) )
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CPFEM_dcsde ( 1 : 6 , 1 : 6 , ip , elCP ) = math_sym3333to66 ( J_inverse * H_sym , weighted = . false . )
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endif terminalIllness
endif validCalculation
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!* report stress and stiffness
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if ( ( iand ( debug_level ( debug_CPFEM ) , debug_levelExtensive ) / = 0_pInt ) &
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. and . ( ( debug_e == elCP . and . debug_i == ip ) &
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. or . . not . iand ( debug_level ( debug_CPFEM ) , debug_levelSelective ) / = 0_pInt ) ) then
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write ( 6 , '(a,i8,1x,i2,/,12x,6(f10.3,1x)/)' ) &
'<< CPFEM >> stress/MPa at elFE ip ' , elFE , ip , CPFEM_cs ( 1 : 6 , ip , elCP ) * 1.0e-6_pReal
write ( 6 , '(a,i8,1x,i2,/,6(12x,6(f10.3,1x)/))' ) &
'<< CPFEM >> Jacobian/GPa at elFE ip ' , elFE , ip , transpose ( CPFEM_dcsdE ( 1 : 6 , 1 : 6 , ip , elCP ) ) * 1.0e-9_pReal
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flush ( 6 )
endif
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endif
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!*** warn if stiffness close to zero
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if ( all ( abs ( CPFEM_dcsdE ( 1 : 6 , 1 : 6 , ip , elCP ) ) < 1e-10_pReal ) ) call IO_warning ( 601 , elCP , ip )
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!*** copy to output if using commercial FEM solver
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cauchyStress = CPFEM_cs ( 1 : 6 , ip , elCP )
jacobian = CPFEM_dcsdE ( 1 : 6 , 1 : 6 , ip , elCP )
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!*** remember extreme values of stress ...
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cauchyStress33 = math_6toSym33 ( CPFEM_cs ( 1 : 6 , ip , elCP ) , weighted = . false . )
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if ( maxval ( cauchyStress33 ) > debug_stressMax ) then
debug_stressMaxLocation = [ elCP , ip ]
debug_stressMax = maxval ( cauchyStress33 )
endif
if ( minval ( cauchyStress33 ) < debug_stressMin ) then
debug_stressMinLocation = [ elCP , ip ]
debug_stressMin = minval ( cauchyStress33 )
endif
!*** ... and Jacobian
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jacobian3333 = math_66toSym3333 ( CPFEM_dcsdE ( 1 : 6 , 1 : 6 , ip , elCP ) , weighted = . false . )
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if ( maxval ( jacobian3333 ) > debug_jacobianMax ) then
debug_jacobianMaxLocation = [ elCP , ip ]
debug_jacobianMax = maxval ( jacobian3333 )
endif
if ( minval ( jacobian3333 ) < debug_jacobianMin ) then
debug_jacobianMinLocation = [ elCP , ip ]
debug_jacobianMin = minval ( jacobian3333 )
endif
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end subroutine CPFEM_general
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end module CPFEM