!-------------------------------------------------------------------------------------------------- !> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH !> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH !> @brief CPFEM engine !-------------------------------------------------------------------------------------------------- module CPFEM use prec use debug use FEsolving use math use rotations use YAML_types use YAML_parse use discretization_marc use material use config use crystallite use homogenization use IO use discretization use DAMASK_interface use numerics use HDF5_utilities use results use lattice use constitutive implicit none private real(pReal), dimension (:,:,:), allocatable, private :: & CPFEM_cs !< Cauchy stress real(pReal), dimension (:,:,:,:), allocatable, private :: & CPFEM_dcsdE !< Cauchy stress tangent real(pReal), dimension (:,:,:,:), allocatable, private :: & CPFEM_dcsdE_knownGood !< known good tangent integer(pInt), public :: & cycleCounter = 0_pInt !< needs description integer(pInt), parameter, public :: & CPFEM_CALCRESULTS = 2_pInt**0_pInt, & CPFEM_AGERESULTS = 2_pInt**1_pInt, & CPFEM_BACKUPJACOBIAN = 2_pInt**2_pInt, & CPFEM_RESTOREJACOBIAN = 2_pInt**3_pInt type, private :: tNumerics integer :: & iJacoStiffness !< frequency of stiffness update end type tNumerics type(tNumerics), private :: num public :: & CPFEM_general, & CPFEM_initAll, & CPFEM_results contains !-------------------------------------------------------------------------------------------------- !> @brief call all module initializations !-------------------------------------------------------------------------------------------------- subroutine CPFEM_initAll call DAMASK_interface_init call prec_init call IO_init call numerics_init call debug_init call config_init call math_init call rotations_init call YAML_types_init call YAML_init call HDF5_utilities_init call results_init(.false.) call discretization_marc_init call lattice_init call material_init(.false.) call constitutive_init call crystallite_init call homogenization_init call CPFEM_init end subroutine CPFEM_initAll !-------------------------------------------------------------------------------------------------- !> @brief allocate the arrays defined in module CPFEM and initialize them !-------------------------------------------------------------------------------------------------- subroutine CPFEM_init class(tNode), pointer :: & num_commercialFEM write(6,'(/,a)') ' <<<+- CPFEM init -+>>>' flush(6) allocate(CPFEM_cs( 6,discretization_nIP,discretization_nElem), source= 0.0_pReal) allocate(CPFEM_dcsdE( 6,6,discretization_nIP,discretization_nElem), source= 0.0_pReal) allocate(CPFEM_dcsdE_knownGood(6,6,discretization_nIP,discretization_nElem), source= 0.0_pReal) !------------------------------------------------------------------------------ ! read numerical parameters and do sanity check num_commercialFEM => numerics_root%get('commercialFEM',defaultVal=emptyDict) num%iJacoStiffness = num_commercialFEM%get_asInt('ijacostiffness',defaultVal=1) if (num%iJacoStiffness < 1) call IO_error(301,ext_msg='iJacoStiffness') !------------------------------------------------------------------------------ if (iand(debug_level(debug_CPFEM), debug_levelBasic) /= 0) then 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) flush(6) endif end subroutine CPFEM_init !-------------------------------------------------------------------------------------------------- !> @brief perform initialization at first call, update variables and call the actual material model !-------------------------------------------------------------------------------------------------- subroutine CPFEM_general(mode, ffn, ffn1, temperature_inp, dt, elFE, ip, cauchyStress, jacobian) integer(pInt), intent(in) :: elFE, & !< FE element number ip !< integration point number 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 real(pReal), intent(in) :: temperature_inp !< temperature 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) real(pReal) J_inverse, & ! inverse of Jacobian rnd real(pReal), dimension (3,3) :: Kirchhoff ! Piola-Kirchhoff stress real(pReal), dimension (3,3,3,3) :: H_sym, & H integer(pInt) elCP, & ! crystal plasticity element number i, j, k, l, m, n, ph, homog, mySource logical updateJaco ! flag indicating if Jacobian has to be updated real(pReal), parameter :: ODD_STRESS = 1e15_pReal, & !< return value for stress if terminallyIll ODD_JACOBIAN = 1e50_pReal !< return value for jacobian if terminallyIll elCP = mesh_FEM2DAMASK_elem(elFE) if (iand(debug_level(debug_CPFEM), debug_levelBasic) /= 0_pInt & .and. elCP == debug_e .and. ip == debug_i) then 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,i8,a13)') '#','cycleCounter', cycleCounter, '#' write(6,'(a1,a22,1x,i8,a13)') '#','computationMode',mode, '#' if (terminallyIll) & write(6,'(a,/)') '# --- terminallyIll --- #' write(6,'(a,/)') '#############################################'; flush (6) endif if (iand(mode, CPFEM_BACKUPJACOBIAN) /= 0_pInt) & CPFEM_dcsde_knownGood = CPFEM_dcsde if (iand(mode, CPFEM_RESTOREJACOBIAN) /= 0_pInt) & CPFEM_dcsde = CPFEM_dcsde_knownGood if (iand(mode, CPFEM_AGERESULTS) /= 0_pInt) call CPFEM_forward chosenThermal1: select case (thermal_type(material_homogenizationAt(elCP))) case (THERMAL_conduction_ID) chosenThermal1 temperature(material_homogenizationAt(elCP))%p(thermalMapping(material_homogenizationAt(elCP))%p(ip,elCP)) = & temperature_inp end select chosenThermal1 materialpoint_F0(1:3,1:3,ip,elCP) = ffn materialpoint_F(1:3,1:3,ip,elCP) = ffn1 if (iand(mode, CPFEM_CALCRESULTS) /= 0_pInt) then validCalculation: if (terminallyIll) then call random_number(rnd) if (rnd < 0.5_pReal) rnd = rnd - 1.0_pReal CPFEM_cs(1:6,ip,elCP) = ODD_STRESS * rnd CPFEM_dcsde(1:6,1:6,ip,elCP) = ODD_JACOBIAN * math_identity2nd(6) else validCalculation updateJaco = mod(cycleCounter,num%iJacoStiffness) == 0 FEsolving_execElem = elCP FEsolving_execIP = 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) terminalIllness: if (terminallyIll) then call random_number(rnd) if (rnd < 0.5_pReal) rnd = rnd - 1.0_pReal CPFEM_cs(1:6,ip,elCP) = ODD_STRESS * rnd CPFEM_dcsde(1:6,1:6,ip,elCP) = ODD_JACOBIAN * math_identity2nd(6) else terminalIllness ! translate from P to sigma Kirchhoff = matmul(materialpoint_P(1:3,1:3,ip,elCP), transpose(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_sym33to6(J_inverse * Kirchhoff,weighted=.false.) ! 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_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)) 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_sym3333to66(J_inverse * H_sym,weighted=.false.) endif terminalIllness endif validCalculation 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 if (all(abs(CPFEM_dcsdE(1:6,1:6,ip,elCP)) < 1e-10_pReal)) call IO_warning(601,elCP,ip) cauchyStress = CPFEM_cs (1:6, ip,elCP) jacobian = CPFEM_dcsdE(1:6,1:6,ip,elCP) end subroutine CPFEM_general !-------------------------------------------------------------------------------------------------- !> @brief Forward data for new time increment. !-------------------------------------------------------------------------------------------------- subroutine CPFEM_forward call crystallite_forward end subroutine CPFEM_forward !-------------------------------------------------------------------------------------------------- !> @brief Trigger writing of results. !-------------------------------------------------------------------------------------------------- subroutine CPFEM_results(inc,time) integer(pInt), intent(in) :: inc real(pReal), intent(in) :: time call results_openJobFile call results_addIncrement(inc,time) call constitutive_results call crystallite_results call homogenization_results call discretization_results call results_finalizeIncrement call results_closeJobFile end subroutine CPFEM_results end module CPFEM