308 lines
16 KiB
Fortran
308 lines
16 KiB
Fortran
!##############################################################
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MODULE CPFEM
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!##############################################################
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! *** CPFEM engine ***
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!
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use prec, only: pReal, &
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pInt
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implicit none
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real(pReal), parameter :: CPFEM_odd_stress = 1e15_pReal, &
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CPFEM_odd_jacobian = 1e50_pReal
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real(pReal), dimension (:,:,:), allocatable :: CPFEM_cs ! Cauchy stress
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real(pReal), dimension (:,:,:,:), allocatable :: CPFEM_dcsdE ! Cauchy stress tangent
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real(pReal), dimension (:,:,:,:), allocatable :: CPFEM_dcsdE_knownGood ! known good tangent
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logical :: CPFEM_init_done = .false., & ! remember whether init has been done already
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CPFEM_calc_done = .false. ! remember whether first IP has already calced the results
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CONTAINS
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!*********************************************************
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!*** allocate the arrays defined in module CPFEM ***
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!*** and initialize them ***
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!*********************************************************
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subroutine CPFEM_init()
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use prec, only: pInt
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use FEsolving, only: parallelExecution, &
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symmetricSolver
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use mesh, only: mesh_NcpElems, &
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mesh_maxNips
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implicit none
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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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!$OMP CRITICAL (write2out)
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write(6,*)
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write(6,*) '<<<+- cpfem init -+>>>'
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write(6,*)
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write(6,'(a32,x,6(i5,x))') 'CPFEM_cs: ', shape(CPFEM_cs)
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write(6,'(a32,x,6(i5,x))') 'CPFEM_dcsdE: ', shape(CPFEM_dcsdE)
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write(6,'(a32,x,6(i5,x))') 'CPFEM_dcsdE_knownGood: ', shape(CPFEM_dcsdE_knownGood)
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write(6,*)
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write(6,*) 'parallelExecution: ', parallelExecution
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write(6,*) 'symmetricSolver: ', symmetricSolver
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call flush(6)
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!$OMP END CRITICAL (write2out)
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return
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endsubroutine
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!***********************************************************************
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!*** perform initialization at first call, update variables and ***
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!*** call the actual material model ***
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!***********************************************************************
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subroutine CPFEM_general(mode, ffn, ffn1, Temperature, dt, element, IP, cauchyStress, jacobian, ngens)
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! note: cauchyStress = Cauchy stress cs(6) and jacobian = Consistent tangent dcs/dE
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!*** variables and functions from other modules ***!
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use prec, only: pReal, &
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pInt
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use numerics, only: numerics_init, &
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relevantStrain, &
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iJacoStiffness
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use debug, only: debug_init
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use FEsolving, only: FE_init, &
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parallelExecution, &
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outdatedFFN1, &
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terminallyIll, &
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cycleCounter, &
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theInc, &
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theCycle, &
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theLovl, &
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theTime, &
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FEsolving_execElem, &
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FEsolving_execIP
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use math, only: math_init, &
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math_identity2nd, &
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math_mul33x33, &
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math_det3x3, &
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math_I3, &
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math_Mandel3333to66, &
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math_Mandel33to6
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use mesh, only: mesh_init, &
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mesh_FEasCP, &
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mesh_NcpElems, &
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mesh_maxNips
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use lattice, only: lattice_init
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use material, only: material_init, &
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homogenization_maxNgrains
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use constitutive, only: constitutive_init,&
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constitutive_state0,constitutive_state
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use crystallite, only: crystallite_init, &
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crystallite_F0, &
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crystallite_partionedF, &
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crystallite_Fp0, &
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crystallite_Fp, &
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crystallite_Lp0, &
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crystallite_Lp, &
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crystallite_Tstar0_v, &
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crystallite_Tstar_v
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use homogenization, only: homogenization_init, &
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homogenization_sizeState, &
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homogenization_state, &
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homogenization_state0, &
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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_Temperature, &
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materialpoint_stressAndItsTangent, &
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materialpoint_postResults
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implicit none
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!*** input variables ***!
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integer(pInt), intent(in) :: element, & ! FE element number
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IP, & ! FE integration point number
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ngens ! size of stress strain law
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real(pReal), intent(inout) :: Temperature ! temperature
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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 with aged results
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! 2: regular computation
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! 3: collection of FEM data
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! 4: recycling of former results (MARC speciality)
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! 5: record tangent from former converged inc
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! 6: restore tangent from former converged inc
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!*** output variables ***!
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real(pReal), dimension(ngens), intent(out) :: cauchyStress ! stress vector in Mandel notation
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real(pReal), dimension(ngens,ngens), intent(out) :: jacobian ! jacobian in Mandel notation
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!*** local variables ***!
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real(pReal) J_inverse ! inverse of Jacobian
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real(pReal), dimension (3,3) :: Kirchhoff
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real(pReal), dimension (3,3,3,3) :: H, &
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H_sym
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integer(pInt) cp_en, & ! crystal plasticity element number
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i, &
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j, &
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k, &
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l, &
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m, &
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n
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logical updateJaco ! flag indicating if JAcobian has to be updated
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!*** global variables ***!
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! CPFEM_cs, &
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! CPFEM_dcsdE, &
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! CPFEM_dcsdE_knownGood, &
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! CPFEM_init_done, &
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! CPFEM_calc_done, &
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! CPFEM_odd_stress, &
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! CPFEM_odd_jacobian
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! initialization step (three dimensional stress state check missing?)
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if (.not. CPFEM_init_done) then
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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()
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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(Temperature) ! (have to) use temperature of first IP for whole model
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call homogenization_init(Temperature)
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call CPFEM_init()
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CPFEM_init_done = .true.
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endif
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cp_en = mesh_FEasCP('elem',element)
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if (cp_en == 1 .and. IP == 1) then
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write(6,*)
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write(6,*) '#####################################'
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write(6,'(a10,1x,f8.4,1x,a10,1x,i4,1x,a10,1x,i3,1x,a10,1x,i2,x,a10,1x,i2)') &
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'theTime',theTime,'theInc',theInc,'theCycle',theCycle,'theLovl',theLovl,&
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'mode',mode
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write(6,*) '#####################################'
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endif
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! according to our "mode" we decide what to do
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select case (mode)
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! --+>> REGULAR COMPUTATION (WITH AGING OF RESULTS IF MODE == 1) <<+--
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case (1,2)
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! age results if mode == 1
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if (mode == 1) 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_Tstar0_v = crystallite_Tstar_v ! crystallite 2nd Piola Kirchhoff stress
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forall ( i = 1:homogenization_maxNgrains, &
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j = 1:mesh_maxNips, &
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k = 1:mesh_NcpElems ) &
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constitutive_state0(i,j,k)%p = constitutive_state(i,j,k)%p ! microstructure of crystallites
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write(6,'(a10,/,4(3(e20.8,x),/))') 'aged state',constitutive_state(1,1,1)%p
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do k = 1,mesh_NcpElems
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do j = 1,mesh_maxNips
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if (homogenization_sizeState(j,k) > 0_pInt) &
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homogenization_state0(j,k)%p = homogenization_state(j,k)%p ! internal state of homogenization scheme
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enddo
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enddo
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endif
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! deformation gradient outdated or any actual deformation gradient differs more than relevantStrain from the stored one
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if (terminallyIll .or. outdatedFFN1 .or. any(abs(ffn1 - materialpoint_F(:,:,IP,cp_en)) > relevantStrain)) then
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if (.not. terminallyIll .and. .not. outdatedFFN1) then
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write(6,'(a11,x,i5,x,i2,x,a10,/,3(3(f10.3,x),/))') 'outdated at',cp_en,IP,'FFN1 now:',ffn1(:,1),ffn1(:,2),ffn1(:,3)
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outdatedFFN1 = .true.
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endif
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CPFEM_cs(1:ngens,IP,cp_en) = CPFEM_odd_stress
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CPFEM_dcsde(1:ngens,1:ngens,IP,cp_en) = CPFEM_odd_jacobian*math_identity2nd(ngens)
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! deformation gradient is not outdated
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else
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! set flag for Jacobian update
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updateJaco = (mod(cycleCounter-4,4_pInt*iJacoStiffness)==0)
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! no parallel computation
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if (.not. parallelExecution) then
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! we just take one single element and IP
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FEsolving_execElem(1) = cp_en
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FEsolving_execElem(2) = cp_en
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FEsolving_execIP(1,cp_en) = IP
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FEsolving_execIP(2,cp_en) = IP
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call materialpoint_stressAndItsTangent(updateJaco, dt) ! calculate stress and its tangent
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call materialpoint_postResults(dt) ! post results
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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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call materialpoint_stressAndItsTangent(updateJaco, dt) ! calculate stress and its tangent (parallel execution inside)
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call materialpoint_postResults(dt) ! post results
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CPFEM_calc_done = .true.
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endif
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if (terminallyIll) then
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CPFEM_cs(1:ngens,IP,cp_en) = CPFEM_odd_stress
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CPFEM_dcsde(1:ngens,1:ngens,IP,cp_en) = CPFEM_odd_jacobian*math_identity2nd(ngens)
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else
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! translate from P to CS
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Kirchhoff = math_mul33x33(materialpoint_P(:,:,IP, cp_en),transpose(materialpoint_F(:,:,IP, cp_en)))
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J_inverse = 1.0_pReal/math_det3x3(materialpoint_F(:,:,IP, cp_en))
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CPFEM_cs(1:ngens,IP,cp_en) = math_Mandel33to6(J_inverse*Kirchhoff)
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! translate from dP/dF to dCS/dE
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H = 0.0_pReal
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forall(i=1:3,j=1:3,k=1:3,l=1:3,m=1:3,n=1:3) &
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H(i,j,k,l) = H(i,j,k,l) + &
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materialpoint_F(j,m,IP,cp_en) * &
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materialpoint_F(l,n,IP,cp_en) * &
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materialpoint_dPdF(i,m,k,n,IP,cp_en) - &
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math_I3(j,l)*materialpoint_F(i,m,IP,cp_en)*materialpoint_P(k,m,IP,cp_en) + &
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0.5_pReal*(math_I3(i,k)*Kirchhoff(j,l) + math_I3(j,l)*Kirchhoff(i,k) + &
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math_I3(i,l)*Kirchhoff(j,k) + math_I3(j,k)*Kirchhoff(i,l))
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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)) ! where to use the symmetric version??
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CPFEM_dcsde(1:ngens,1:ngens,IP,cp_en) = math_Mandel3333to66(J_inverse*H)
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endif
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endif
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! --+>> COLLECTION OF FEM DATA AND RETURN OF ODD STRESS AND JACOBIAN <<+--
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case (3)
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materialpoint_Temperature(IP,cp_en) = Temperature
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materialpoint_F0(:,:,IP,cp_en) = ffn
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materialpoint_F(:,:,IP,cp_en) = ffn1
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CPFEM_cs(1:ngens,IP,cp_en) = CPFEM_odd_stress
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CPFEM_dcsde(1:ngens,1:ngens,IP,cp_en) = CPFEM_odd_jacobian*math_identity2nd(ngens)
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CPFEM_calc_done = .false.
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! --+>> RECYCLING OF FORMER RESULTS (MARC SPECIALTY) <<+--
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case (4)
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! do nothing
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! --+>> RECORD JACOBIAN FROM FORMER CONVERGED INC <<+--
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case (5)
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CPFEM_dcsde_knownGood = CPFEM_dcsde
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! --+>> RESTORE CONSISTENT JACOBIAN FROM FORMER CONVERGED INC <<+--
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case (6)
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CPFEM_dcsde = CPFEM_dcsde_knownGood
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end select
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! return the local stress and the jacobian from storage
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cauchyStress(1:ngens) = CPFEM_cs(1:ngens,IP,cp_en)
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jacobian(1:ngens,1:ngens) = CPFEM_dcsdE(1:ngens,1:ngens,IP,cp_en)
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if (IP == 1 .and. cp_en == 1) write(6,'(a,/,6(6(f10.3,x)/))') 'jacobian/GPa at ip 1 el 1',jacobian/1e9
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! return temperature
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if (theInc > 0_pInt) Temperature = materialpoint_Temperature(IP,cp_en) ! homogenized result except for potentially non-isothermal starting condition.
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return
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end subroutine
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END MODULE CPFEM
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