651 lines
28 KiB
Fortran
651 lines
28 KiB
Fortran
!--------------------------------------------------------------------------------------------------
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!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH
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!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
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!> @brief CPFEM engine
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!--------------------------------------------------------------------------------------------------
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module CPFEM
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use prec, only: &
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pReal, &
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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
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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
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integer(pInt), public :: &
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cycleCounter = 0_pInt, & !< needs description
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theInc = -1_pInt, & !< needs description
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lastLovl = 0_pInt, & !< lovl in previous call to marc hypela2
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lastStep = 0_pInt !< kstep in previous call to abaqus umat
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real(pReal), public :: &
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theTime = 0.0_pReal, & !< needs description
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theDelta = 0.0_pReal
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logical, public :: &
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outdatedFFN1 = .false., & !< needs description
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lastIncConverged = .false., & !< needs description
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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
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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, &
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CPFEM_CALCRESULTS = 2_pInt**1_pInt, &
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CPFEM_AGERESULTS = 2_pInt**2_pInt, &
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CPFEM_BACKUPJACOBIAN = 2_pInt**3_pInt, &
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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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!--------------------------------------------------------------------------------------------------
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!> @brief call (thread safe) all module initializations
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!--------------------------------------------------------------------------------------------------
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subroutine CPFEM_initAll(el,ip)
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use prec, only: &
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prec_init
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use numerics, only: &
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numerics_init
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use debug, only: &
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debug_init
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use FEsolving, only: &
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FE_init
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use math, only: &
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math_init
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use mesh, only: &
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mesh_init
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use lattice, only: &
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lattice_init
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use material, only: &
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material_init
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use constitutive, only: &
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constitutive_init
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use crystallite, only: &
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crystallite_init
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use homogenization, only: &
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homogenization_init
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use IO, only: &
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IO_init
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use DAMASK_interface
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implicit none
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integer(pInt), intent(in) :: el, & !< FE el number
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ip !< FE integration point number
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!$OMP CRITICAL (init)
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if (.not. CPFEM_init_done) then
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call DAMASK_interface_init ! Spectral and FEM interface to commandline
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call prec_init
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call IO_init
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call numerics_init
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call debug_init
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call math_init
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call FE_init
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call mesh_init(ip, el) ! pass on coordinates to alter calcMode of first ip
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call lattice_init
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call material_init
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call constitutive_init
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call crystallite_init
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call homogenization_init
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call CPFEM_init
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CPFEM_init_done = .true.
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endif
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!$OMP END CRITICAL (init)
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end subroutine CPFEM_initAll
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!--------------------------------------------------------------------------------------------------
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!> @brief allocate the arrays defined in module CPFEM and initialize them
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!--------------------------------------------------------------------------------------------------
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subroutine CPFEM_init
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use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment)
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use prec, only: &
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pInt
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use IO, only: &
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IO_read_realFile,&
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IO_read_intFile, &
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IO_timeStamp, &
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IO_error
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use numerics, only: &
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worldrank
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use debug, only: &
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debug_level, &
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debug_CPFEM, &
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debug_levelBasic, &
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debug_levelExtensive
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use FEsolving, only: &
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symmetricSolver, &
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restartRead, &
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modelName
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use mesh, only: &
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mesh_NcpElems, &
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mesh_maxNips
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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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material_Nhomogenization
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use crystallite, only: &
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crystallite_F0, &
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crystallite_Fp0, &
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crystallite_Lp0, &
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crystallite_Fi0, &
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crystallite_Li0, &
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crystallite_dPdF0, &
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crystallite_Tstar0_v
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implicit none
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integer(pInt) :: k,l,m,ph,homog
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character(len=1024) :: rankStr
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mainProcess: if (worldrank == 0) then
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write(6,'(/,a)') ' <<<+- CPFEM init -+>>>'
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write(6,'(a15,a)') ' Current time: ',IO_timeStamp()
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#include "compilation_info.f90"
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endif mainProcess
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! initialize stress and jacobian to zero
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allocate(CPFEM_cs(6,mesh_maxNips,mesh_NcpElems)) ; CPFEM_cs = 0.0_pReal
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allocate(CPFEM_dcsdE(6,6,mesh_maxNips,mesh_NcpElems)) ; CPFEM_dcsdE = 0.0_pReal
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allocate(CPFEM_dcsdE_knownGood(6,6,mesh_maxNips,mesh_NcpElems)) ; CPFEM_dcsdE_knownGood = 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
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if (iand(debug_level(debug_CPFEM), debug_levelExtensive) /= 0_pInt) then
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write(6,'(a)') '<< CPFEM >> restored state variables of last converged step from binary files'
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flush(6)
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endif
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write(rankStr,'(a1,i0)')'_',worldrank
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call IO_read_intFile(777,'recordedPhase'//trim(rankStr),modelName,size(material_phase))
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read (777,rec=1) material_phase
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close (777)
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call IO_read_realFile(777,'convergedF'//trim(rankStr),modelName,size(crystallite_F0))
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read (777,rec=1) crystallite_F0
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close (777)
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call IO_read_realFile(777,'convergedFp'//trim(rankStr),modelName,size(crystallite_Fp0))
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read (777,rec=1) crystallite_Fp0
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close (777)
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call IO_read_realFile(777,'convergedFi'//trim(rankStr),modelName,size(crystallite_Fi0))
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read (777,rec=1) crystallite_Fi0
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close (777)
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call IO_read_realFile(777,'convergedLp'//trim(rankStr),modelName,size(crystallite_Lp0))
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read (777,rec=1) crystallite_Lp0
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close (777)
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call IO_read_realFile(777,'convergedLi'//trim(rankStr),modelName,size(crystallite_Li0))
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read (777,rec=1) crystallite_Li0
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close (777)
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call IO_read_realFile(777,'convergeddPdF'//trim(rankStr),modelName,size(crystallite_dPdF0))
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read (777,rec=1) crystallite_dPdF0
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close (777)
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call IO_read_realFile(777,'convergedTstar'//trim(rankStr),modelName,size(crystallite_Tstar0_v))
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read (777,rec=1) crystallite_Tstar0_v
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close (777)
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call IO_read_realFile(777,'convergedStateConst'//trim(rankStr),modelName)
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m = 0_pInt
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readPlasticityInstances: do ph = 1_pInt, size(phase_plasticity)
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do k = 1_pInt, plasticState(ph)%sizeState
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do l = 1, size(plasticState(ph)%state0(1,:))
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m = m+1_pInt
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read(777,rec=m) plasticState(ph)%state0(k,l)
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enddo; enddo
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enddo readPlasticityInstances
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close (777)
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call IO_read_realFile(777,'convergedStateHomog'//trim(rankStr),modelName)
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m = 0_pInt
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readHomogInstances: do homog = 1_pInt, material_Nhomogenization
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do k = 1_pInt, homogState(homog)%sizeState
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do l = 1, size(homogState(homog)%state0(1,:))
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m = m+1_pInt
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read(777,rec=m) homogState(homog)%state0(k,l)
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enddo; enddo
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enddo readHomogInstances
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close (777)
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call IO_read_realFile(777,'convergeddcsdE',modelName,size(CPFEM_dcsdE))
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read (777,rec=1) CPFEM_dcsdE
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close (777)
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restartRead = .false.
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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)
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write(6,'(a32,1x,6(i8,1x))') 'CPFEM_dcsdE: ', shape(CPFEM_dcsdE)
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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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endif
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flush(6)
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end subroutine CPFEM_init
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!--------------------------------------------------------------------------------------------------
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!> @brief perform initialization at first call, update variables and call the actual material model
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!--------------------------------------------------------------------------------------------------
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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: &
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defgradTolerance, &
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iJacoStiffness, &
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worldrank
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use debug, only: &
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debug_level, &
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debug_CPFEM, &
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debug_levelBasic, &
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debug_levelExtensive, &
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debug_levelSelective, &
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debug_stressMaxLocation, &
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debug_stressMinLocation, &
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debug_jacobianMaxLocation, &
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debug_jacobianMinLocation, &
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debug_stressMax, &
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debug_stressMin, &
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debug_jacobianMax, &
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debug_jacobianMin, &
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debug_e, &
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debug_i
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use FEsolving, only: &
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terminallyIll, &
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FEsolving_execElem, &
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FEsolving_execIP, &
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restartWrite
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use math, only: &
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math_identity2nd, &
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math_mul33x33, &
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math_det33, &
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math_transpose33, &
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math_I3, &
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math_Mandel3333to66, &
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math_Mandel66to3333, &
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math_Mandel33to6, &
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math_Mandel6to33
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use mesh, only: &
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mesh_FEasCP, &
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mesh_NcpElems, &
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mesh_maxNips, &
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mesh_element
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use material, only: &
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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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vacancyfluxState, &
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hydrogenfluxState, &
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phaseAt, phasememberAt, &
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material_phase, &
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phase_plasticity, &
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temperature, &
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thermalMapping, &
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phase_Nsources, &
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material_homog, &
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material_Nhomogenization
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use crystallite, only: &
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crystallite_partionedF,&
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crystallite_F0, &
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crystallite_Fp0, &
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crystallite_Fp, &
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crystallite_Fi0, &
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crystallite_Fi, &
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crystallite_Lp0, &
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crystallite_Lp, &
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crystallite_Li0, &
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crystallite_Li, &
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crystallite_dPdF0, &
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crystallite_dPdF, &
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crystallite_Tstar0_v, &
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crystallite_Tstar_v
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use homogenization, only: &
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materialpoint_F, &
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materialpoint_F0, &
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materialpoint_P, &
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materialpoint_dPdF, &
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materialpoint_results, &
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materialpoint_sizeResults, &
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materialpoint_stressAndItsTangent, &
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materialpoint_postResults
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use IO, only: &
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IO_write_jobRealFile, &
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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
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ip !< integration point number
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real(pReal), intent(in) :: dt !< time increment
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real(pReal), dimension (3,3), intent(in) :: ffn, & !< deformation gradient for t=t0
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ffn1 !< deformation gradient for t=t1
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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 vector in Mandel notation
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real(pReal), dimension(6,6), intent(out) :: jacobian !< jacobian in Mandel notation (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
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cauchyStress33 ! stress vector in Matrix notation
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real(pReal), dimension (3,3,3,3) :: H_sym, &
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H, &
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jacobian3333 ! jacobian in Matrix notation
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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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character(len=1024) :: rankStr
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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)') '#############################################'
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write(6,'(a1,a22,1x,i8,a13)') '#','element', elCP, '#'
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write(6,'(a1,a22,1x,i8,a13)') '#','ip', ip, '#'
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write(6,'(a1,a22,1x,f15.7,a6)') '#','theTime', theTime, '#'
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write(6,'(a1,a22,1x,f15.7,a6)') '#','theDelta', theDelta, '#'
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write(6,'(a1,a22,1x,i8,a13)') '#','theInc', theInc, '#'
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write(6,'(a1,a22,1x,i8,a13)') '#','cycleCounter', cycleCounter, '#'
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write(6,'(a1,a22,1x,i8,a13)') '#','computationMode',mode, '#'
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if (terminallyIll) &
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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) &
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CPFEM_dcsde_knownGood = CPFEM_dcsde
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if (iand(mode, CPFEM_RESTOREJACOBIAN) /= 0_pInt) &
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CPFEM_dcsde = CPFEM_dcsde_knownGood
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!*** 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...)
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crystallite_Fp0 = crystallite_Fp ! crystallite plastic deformation
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crystallite_Lp0 = crystallite_Lp ! crystallite plastic velocity
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crystallite_Fi0 = crystallite_Fi ! crystallite intermediate deformation
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crystallite_Li0 = crystallite_Li ! crystallite intermediate velocity
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crystallite_dPdF0 = crystallite_dPdF ! crystallite stiffness
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crystallite_Tstar0_v = crystallite_Tstar_v ! 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
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do i = 1, size(sourceState)
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do mySource = 1,phase_Nsources(i)
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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
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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 <= mesh_NcpElems .and. debug_i <= mesh_maxNips) then
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write(6,'(a,1x,i8,1x,i2,1x,i4,/,(12x,6(e20.8,1x)),/)') &
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'<< 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
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thermalState (homog)%state0 = thermalState (homog)%state
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damageState (homog)%state0 = damageState (homog)%state
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vacancyfluxState (homog)%state0 = vacancyfluxState (homog)%state
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hydrogenfluxState(homog)%state0 = hydrogenfluxState(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
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if (iand(debug_level(debug_CPFEM), debug_levelBasic) /= 0_pInt) &
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write(6,'(a)') '<< CPFEM >> writing state variables of last converged step to binary files'
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write(rankStr,'(a1,i0)')'_',worldrank
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call IO_write_jobRealFile(777,'recordedPhase'//trim(rankStr),size(material_phase))
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write (777,rec=1) material_phase
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close (777)
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call IO_write_jobRealFile(777,'convergedF'//trim(rankStr),size(crystallite_F0))
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write (777,rec=1) crystallite_F0
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close (777)
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call IO_write_jobRealFile(777,'convergedFp'//trim(rankStr),size(crystallite_Fp0))
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write (777,rec=1) crystallite_Fp0
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close (777)
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call IO_write_jobRealFile(777,'convergedFi'//trim(rankStr),size(crystallite_Fi0))
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write (777,rec=1) crystallite_Fi0
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close (777)
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|
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))
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|
write (777,rec=1) crystallite_Li0
|
|
close (777)
|
|
|
|
call IO_write_jobRealFile(777,'convergeddPdF'//trim(rankStr),size(crystallite_dPdF0))
|
|
write (777,rec=1) crystallite_dPdF0
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|
close (777)
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|
|
|
call IO_write_jobRealFile(777,'convergedTstar'//trim(rankStr),size(crystallite_Tstar0_v))
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|
write (777,rec=1) crystallite_Tstar0_v
|
|
close (777)
|
|
|
|
call IO_write_jobRealFile(777,'convergedStateConst'//trim(rankStr))
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|
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)
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|
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 ! results aging
|
|
|
|
|
|
|
|
!*** collection of FEM input with returning of randomize odd stress and jacobian
|
|
!* If no parallel execution is required, there is no need to collect FEM input
|
|
|
|
if (.not. parallelExecution) then
|
|
temperature(material_homog(ip,elCP))%p(thermalMapping(material_homog(ip,elCP))%p(ip,elCP)) = &
|
|
temperature_inp
|
|
materialpoint_F0(1:3,1:3,ip,elCP) = ffn
|
|
materialpoint_F(1:3,1:3,ip,elCP) = ffn1
|
|
|
|
elseif (iand(mode, CPFEM_COLLECT) /= 0_pInt) then
|
|
call random_number(rnd)
|
|
if (rnd < 0.5_pReal) rnd = rnd - 1.0_pReal
|
|
CPFEM_cs(1:6,ip,elCP) = rnd * CPFEM_odd_stress
|
|
CPFEM_dcsde(1:6,1:6,ip,elCP) = CPFEM_odd_jacobian * math_identity2nd(6)
|
|
temperature(material_homog(ip,elCP))%p(thermalMapping(material_homog(ip,elCP))%p(ip,elCP)) = &
|
|
temperature_inp
|
|
materialpoint_F0(1:3,1:3,ip,elCP) = ffn
|
|
materialpoint_F(1:3,1:3,ip,elCP) = ffn1
|
|
CPFEM_calc_done = .false.
|
|
endif ! collection
|
|
|
|
|
|
|
|
!*** calculation of stress and jacobian
|
|
|
|
if (iand(mode, CPFEM_CALCRESULTS) /= 0_pInt) then
|
|
|
|
!*** deformation gradient outdated or any actual deformation gradient differs more than relevantStrain from the stored one
|
|
validCalculation: if (terminallyIll &
|
|
.or. outdatedFFN1 &
|
|
.or. any(abs(ffn1 - materialpoint_F(1:3,1:3,ip,elCP)) > defgradTolerance)) then
|
|
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
|
|
write(6,'(a,1x,i8,1x,i2)') '<< CPFEM >> OUTDATED at elFE ip',elFE,ip
|
|
write(6,'(a,/,3(12x,3(f10.6,1x),/))') '<< CPFEM >> FFN1 old:',&
|
|
math_transpose33(materialpoint_F(1:3,1:3,ip,elCP))
|
|
write(6,'(a,/,3(12x,3(f10.6,1x),/))') '<< CPFEM >> FFN1 now:',math_transpose33(ffn1)
|
|
endif
|
|
outdatedFFN1 = .true.
|
|
endif
|
|
call random_number(rnd)
|
|
if (rnd < 0.5_pReal) rnd = rnd - 1.0_pReal
|
|
CPFEM_cs(1:6,ip,elCP) = rnd*CPFEM_odd_stress
|
|
CPFEM_dcsde(1:6,1:6,ip,elCP) = CPFEM_odd_jacobian*math_identity2nd(6)
|
|
|
|
!*** deformation gradient is not outdated
|
|
|
|
else validCalculation
|
|
updateJaco = mod(cycleCounter,iJacoStiffness) == 0
|
|
!* no parallel computation, so we use just one single elFE and ip for computation
|
|
|
|
if (.not. parallelExecution) then
|
|
FEsolving_execElem(1) = elCP
|
|
FEsolving_execElem(2) = elCP
|
|
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
|
|
FEsolving_execIP(1,elCP) = ip
|
|
FEsolving_execIP(2,elCP) = ip
|
|
if (iand(debug_level(debug_CPFEM), debug_levelExtensive) /= 0_pInt) &
|
|
write(6,'(a,i8,1x,i2)') '<< CPFEM >> calculation for elFE ip ',elFE,ip
|
|
call materialpoint_stressAndItsTangent(updateJaco, dt) ! calculate stress and its tangent
|
|
call materialpoint_postResults()
|
|
endif
|
|
|
|
!* parallel computation and calulation not yet done
|
|
|
|
elseif (.not. CPFEM_calc_done) then
|
|
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)
|
|
call materialpoint_stressAndItsTangent(updateJaco, dt) ! calculate stress and its tangent (parallel execution inside)
|
|
call materialpoint_postResults()
|
|
CPFEM_calc_done = .true.
|
|
endif
|
|
|
|
!* map stress and stiffness (or return odd values if terminally ill)
|
|
terminalIllness: if ( terminallyIll ) then
|
|
|
|
call random_number(rnd)
|
|
if (rnd < 0.5_pReal) rnd = rnd - 1.0_pReal
|
|
CPFEM_cs(1:6,ip,elCP) = rnd * CPFEM_odd_stress
|
|
CPFEM_dcsde(1:6,1:6,ip,elCP) = CPFEM_odd_jacobian * math_identity2nd(6)
|
|
|
|
else terminalIllness
|
|
|
|
if (microstructure_elemhomo(mesh_element(4,elCP)) .and. ip > 1_pInt) then ! me homogenous? --> copy from first ip
|
|
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)
|
|
materialpoint_results(1:materialpoint_sizeResults,ip,elCP) = &
|
|
materialpoint_results(1:materialpoint_sizeResults,1,elCP)
|
|
endif
|
|
|
|
! translate from P to CS
|
|
Kirchhoff = math_mul33x33(materialpoint_P(1:3,1:3,ip,elCP), math_transpose33(materialpoint_F(1:3,1:3,ip,elCP)))
|
|
J_inverse = 1.0_pReal / math_det33(materialpoint_F(1:3,1:3,ip,elCP))
|
|
CPFEM_cs(1:6,ip,elCP) = math_Mandel33to6(J_inverse * Kirchhoff)
|
|
|
|
! 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
|
|
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_I3(j,l) * materialpoint_F(i,m,ip,elCP) * materialpoint_P(k,m,ip,elCP) + &
|
|
0.5_pReal * (math_I3(i,k) * Kirchhoff(j,l) + math_I3(j,l) * Kirchhoff(i,k) + &
|
|
math_I3(i,l) * Kirchhoff(j,k) + math_I3(j,k) * Kirchhoff(i,l))
|
|
enddo; enddo; enddo; enddo; enddo; enddo
|
|
|
|
forall(i=1:3, j=1:3,k=1:3,l=1:3) &
|
|
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))
|
|
|
|
CPFEM_dcsde(1:6,1:6,ip,elCP) = math_Mandel3333to66(J_inverse * H_sym)
|
|
|
|
endif terminalIllness
|
|
endif validCalculation
|
|
|
|
!* report stress and stiffness
|
|
if ((iand(debug_level(debug_CPFEM), debug_levelExtensive) /= 0_pInt) &
|
|
.and. ((debug_e == elCP .and. debug_i == ip) &
|
|
.or. .not. iand(debug_level(debug_CPFEM), debug_levelSelective) /= 0_pInt)) then
|
|
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
|
|
flush(6)
|
|
endif
|
|
|
|
endif
|
|
|
|
!*** warn if stiffness close to zero
|
|
if (all(abs(CPFEM_dcsdE(1:6,1:6,ip,elCP)) < 1e-10_pReal)) call IO_warning(601,elCP,ip)
|
|
|
|
!*** copy to output if using commercial FEM solver
|
|
cauchyStress = CPFEM_cs (1:6, ip,elCP)
|
|
jacobian = CPFEM_dcsdE(1:6,1:6,ip,elCP)
|
|
|
|
|
|
!*** remember extreme values of stress ...
|
|
cauchyStress33 = math_Mandel6to33(CPFEM_cs(1:6,ip,elCP))
|
|
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
|
|
jacobian3333 = math_Mandel66to3333(CPFEM_dcsdE(1:6,1:6,ip,elCP))
|
|
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
|
|
|
|
end subroutine CPFEM_general
|
|
|
|
end module CPFEM
|