!-------------------------------------------------------------------------------------------------- ! $Id$ !-------------------------------------------------------------------------------------------------- !> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH !> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH !> @brief material subroutine for isotropic (J2) plasticity !> @details Isotropic (J2) Plasticity which resembles the phenopowerlaw plasticity without !! resolving the stress on the slip systems. Will give the response of phenopowerlaw for an !! untextured polycrystal !-------------------------------------------------------------------------------------------------- module plastic_j2 #ifdef HDF use hdf5, only: & HID_T #endif use prec, only: & pReal,& pInt implicit none private integer(pInt), dimension(:), allocatable, public, protected :: & plastic_j2_sizePostResults !< cumulative size of post results integer(pInt), dimension(:,:), allocatable, target, public :: & plastic_j2_sizePostResult !< size of each post result output character(len=64), dimension(:,:), allocatable, target, public :: & plastic_j2_output !< name of each post result output integer(pInt), dimension(:), allocatable, target, public :: & plastic_j2_Noutput !< number of outputs per instance real(pReal), dimension(:), allocatable, private :: & plastic_j2_fTaylor, & !< Taylor factor plastic_j2_tau0, & !< initial plastic stress plastic_j2_gdot0, & !< reference velocity plastic_j2_n, & !< Visco-plastic parameter !-------------------------------------------------------------------------------------------------- ! h0 as function of h0 = A + B log (gammadot) plastic_j2_h0, & plastic_j2_h0_slopeLnRate, & plastic_j2_tausat, & !< final plastic stress plastic_j2_a, & plastic_j2_aTolResistance, & plastic_j2_aTolShear, & !-------------------------------------------------------------------------------------------------- ! tausat += (asinh((gammadot / SinhFitA)**(1 / SinhFitD)))**(1 / SinhFitC) / (SinhFitB * (gammadot / gammadot0)**(1/n)) plastic_j2_tausat_SinhFitA, & !< fitting parameter for normalized strain rate vs. stress function plastic_j2_tausat_SinhFitB, & !< fitting parameter for normalized strain rate vs. stress function plastic_j2_tausat_SinhFitC, & !< fitting parameter for normalized strain rate vs. stress function plastic_j2_tausat_SinhFitD !< fitting parameter for normalized strain rate vs. stress function enum, bind(c) enumerator :: undefined_ID, & flowstress_ID, & strainrate_ID end enum integer(kind(undefined_ID)), dimension(:,:), allocatable, private :: & plastic_j2_outputID !< ID of each post result output #ifdef HDF type plastic_j2_tOutput real(pReal), dimension(:), allocatable, private :: & flowstress, & strainrate logical :: flowstressActive = .false., strainrateActive = .false. ! if we can write the output block wise, this is not needed anymore because we can do an if(allocated(xxx)) end type plastic_j2_tOutput type(plastic_j2_tOutput), allocatable, dimension(:) :: plastic_j2_Output2 integer(HID_T), allocatable, dimension(:) :: outID #endif public :: & plastic_j2_init, & plastic_j2_LpAndItsTangent, & plastic_j2_dotState, & plastic_j2_postResults contains !-------------------------------------------------------------------------------------------------- !> @brief module initialization !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- subroutine plastic_j2_init(fileUnit) use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment) #ifdef HDF use hdf5 #endif use debug, only: & debug_level, & debug_constitutive, & debug_levelBasic use numerics, only: & worldrank, & numerics_integrator use math, only: & math_Mandel3333to66, & math_Voigt66to3333 use IO, only: & IO_read, & IO_lc, & IO_getTag, & IO_isBlank, & IO_stringPos, & IO_stringValue, & IO_floatValue, & IO_error, & IO_timeStamp, & #ifdef HDF tempResults, & HDF5_addGroup, & HDF5_addScalarDataset,& #endif IO_EOF use material, only: & phase_plasticity, & phase_plasticityInstance, & phase_Noutput, & PLASTICITY_J2_label, & PLASTICITY_J2_ID, & material_phase, & plasticState, & MATERIAL_partPhase use lattice implicit none integer(pInt), intent(in) :: fileUnit integer(pInt), parameter :: MAXNCHUNKS = 7_pInt integer(pInt), dimension(1_pInt+2_pInt*MAXNCHUNKS) :: positions integer(pInt) :: & o, & phase, & maxNinstance, & instance, & mySize, & sizeDotState, & sizeState character(len=65536) :: & tag = '', & line = '' integer(pInt) :: NofMyPhase #ifdef HDF character(len=5) :: & str1 integer(HID_T) :: ID,ID2,ID4 #endif mainProcess: if (worldrank == 0) then write(6,'(/,a)') ' <<<+- constitutive_'//PLASTICITY_J2_label//' init -+>>>' write(6,'(a)') ' $Id$' write(6,'(a15,a)') ' Current time: ',IO_timeStamp() #include "compilation_info.f90" endif mainProcess maxNinstance = int(count(phase_plasticity == PLASTICITY_J2_ID),pInt) if (maxNinstance == 0_pInt) return if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) & write(6,'(a16,1x,i5,/)') '# instances:',maxNinstance #ifdef HDF allocate(plastic_j2_Output2(maxNinstance)) allocate(outID(maxNinstance)) #endif allocate(plastic_j2_sizePostResults(maxNinstance), source=0_pInt) allocate(plastic_j2_sizePostResult(maxval(phase_Noutput), maxNinstance),source=0_pInt) allocate(plastic_j2_output(maxval(phase_Noutput), maxNinstance)) plastic_j2_output = '' allocate(plastic_j2_outputID(maxval(phase_Noutput),maxNinstance), source=undefined_ID) allocate(plastic_j2_Noutput(maxNinstance), source=0_pInt) allocate(plastic_j2_fTaylor(maxNinstance), source=0.0_pReal) allocate(plastic_j2_tau0(maxNinstance), source=0.0_pReal) allocate(plastic_j2_gdot0(maxNinstance), source=0.0_pReal) allocate(plastic_j2_n(maxNinstance), source=0.0_pReal) allocate(plastic_j2_h0(maxNinstance), source=0.0_pReal) allocate(plastic_j2_h0_slopeLnRate(maxNinstance), source=0.0_pReal) allocate(plastic_j2_tausat(maxNinstance), source=0.0_pReal) allocate(plastic_j2_a(maxNinstance), source=0.0_pReal) allocate(plastic_j2_aTolResistance(maxNinstance), source=0.0_pReal) allocate(plastic_j2_aTolShear (maxNinstance), source=0.0_pReal) allocate(plastic_j2_tausat_SinhFitA(maxNinstance), source=0.0_pReal) allocate(plastic_j2_tausat_SinhFitB(maxNinstance), source=0.0_pReal) allocate(plastic_j2_tausat_SinhFitC(maxNinstance), source=0.0_pReal) allocate(plastic_j2_tausat_SinhFitD(maxNinstance), source=0.0_pReal) rewind(fileUnit) phase = 0_pInt do while (trim(line) /= IO_EOF .and. IO_lc(IO_getTag(line,'<','>')) /= material_partPhase) ! wind forward to line = IO_read(fileUnit) enddo parsingFile: do while (trim(line) /= IO_EOF) ! read through sections of phase part line = IO_read(fileUnit) if (IO_isBlank(line)) cycle ! skip empty lines if (IO_getTag(line,'<','>') /= '') then ! stop at next part line = IO_read(fileUnit, .true.) ! reset IO_read exit endif if (IO_getTag(line,'[',']') /= '') then ! next section phase = phase + 1_pInt ! advance section counter if (phase_plasticity(phase) == PLASTICITY_J2_ID) then instance = phase_plasticityInstance(phase) #ifdef HDF outID(instance)=HDF5_addGroup(str1,tempResults) #endif endif cycle ! skip to next line endif if (phase > 0_pInt ) then; if (phase_plasticity(phase) == PLASTICITY_J2_ID) then ! one of my phases. Do not short-circuit here (.and. between if-statements), it's not safe in Fortran instance = phase_plasticityInstance(phase) ! which instance of my plasticity is present phase positions = IO_stringPos(line,MAXNCHUNKS) tag = IO_lc(IO_stringValue(line,positions,1_pInt)) ! extract key select case(tag) case ('(output)') select case(IO_lc(IO_stringValue(line,positions,2_pInt))) case ('flowstress') plastic_j2_Noutput(instance) = plastic_j2_Noutput(instance) + 1_pInt plastic_j2_outputID(plastic_j2_Noutput(instance),instance) = flowstress_ID plastic_j2_output(plastic_j2_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,positions,2_pInt)) #ifdef HDF call HDF5_addScalarDataset(outID(instance),myConstituents,'flowstress','MPa') allocate(plastic_j2_Output2(instance)%flowstress(myConstituents)) plastic_j2_Output2(instance)%flowstressActive = .true. #endif case ('strainrate') plastic_j2_Noutput(instance) = plastic_j2_Noutput(instance) + 1_pInt plastic_j2_outputID(plastic_j2_Noutput(instance),instance) = strainrate_ID plastic_j2_output(plastic_j2_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,positions,2_pInt)) #ifdef HDF call HDF5_addScalarDataset(outID(instance),myConstituents,'strainrate','1/s') allocate(plastic_j2_Output2(instance)%strainrate(myConstituents)) plastic_j2_Output2(instance)%strainrateActive = .true. #endif case default end select case ('tau0') plastic_j2_tau0(instance) = IO_floatValue(line,positions,2_pInt) if (plastic_j2_tau0(instance) < 0.0_pReal) & call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')') case ('gdot0') plastic_j2_gdot0(instance) = IO_floatValue(line,positions,2_pInt) if (plastic_j2_gdot0(instance) <= 0.0_pReal) & call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')') case ('n') plastic_j2_n(instance) = IO_floatValue(line,positions,2_pInt) if (plastic_j2_n(instance) <= 0.0_pReal) & call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')') case ('h0') plastic_j2_h0(instance) = IO_floatValue(line,positions,2_pInt) case ('h0_slope','slopelnrate') plastic_j2_h0_slopeLnRate(instance) = IO_floatValue(line,positions,2_pInt) case ('tausat') plastic_j2_tausat(instance) = IO_floatValue(line,positions,2_pInt) if (plastic_j2_tausat(instance) <= 0.0_pReal) & call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')') case ('tausat_sinhfita') plastic_j2_tausat_SinhFitA(instance) = IO_floatValue(line,positions,2_pInt) case ('tausat_sinhfitb') plastic_j2_tausat_SinhFitB(instance) = IO_floatValue(line,positions,2_pInt) case ('tausat_sinhfitc') plastic_j2_tausat_SinhFitC(instance) = IO_floatValue(line,positions,2_pInt) case ('tausat_sinhfitd') plastic_j2_tausat_SinhFitD(instance) = IO_floatValue(line,positions,2_pInt) case ('a', 'w0') plastic_j2_a(instance) = IO_floatValue(line,positions,2_pInt) if (plastic_j2_a(instance) <= 0.0_pReal) & call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')') case ('taylorfactor') plastic_j2_fTaylor(instance) = IO_floatValue(line,positions,2_pInt) if (plastic_j2_fTaylor(instance) <= 0.0_pReal) & call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')') case ('atol_resistance') plastic_j2_aTolResistance(instance) = IO_floatValue(line,positions,2_pInt) if (plastic_j2_aTolResistance(instance) <= 0.0_pReal) & call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')') case ('atol_shear') plastic_j2_aTolShear(instance) = IO_floatValue(line,positions,2_pInt) case default end select endif; endif enddo parsingFile initializeInstances: do phase = 1_pInt, size(phase_plasticity) myPhase: if (phase_plasticity(phase) == PLASTICITY_j2_ID) then NofMyPhase=count(material_phase==phase) instance = phase_plasticityInstance(phase) !-------------------------------------------------------------------------------------------------- ! sanity checks if (plastic_j2_aTolShear(instance) <= 0.0_pReal) & plastic_j2_aTolShear(instance) = 1.0e-6_pReal ! default absolute tolerance 1e-6 !-------------------------------------------------------------------------------------------------- ! Determine size of postResults array outputsLoop: do o = 1_pInt,plastic_j2_Noutput(instance) select case(plastic_j2_outputID(o,instance)) case(flowstress_ID,strainrate_ID) mySize = 1_pInt case default end select outputFound: if (mySize > 0_pInt) then plastic_j2_sizePostResult(o,instance) = mySize plastic_j2_sizePostResults(instance) = & plastic_j2_sizePostResults(instance) + mySize endif outputFound enddo outputsLoop !-------------------------------------------------------------------------------------------------- ! allocate state arrays sizeState = 2_pInt sizeDotState = sizeState plasticState(phase)%sizeState = sizeState plasticState(phase)%sizeDotState = sizeDotState plasticState(phase)%sizePostResults = plastic_j2_sizePostResults(instance) plasticState(phase)%nSlip = 1 plasticState(phase)%nTwin = 0 plasticState(phase)%nTrans= 0 allocate(plasticState(phase)%aTolState ( sizeState)) plasticState(phase)%aTolState(1) = plastic_j2_aTolResistance(instance) plasticState(phase)%aTolState(2) = plastic_j2_aTolShear(instance) allocate(plasticState(phase)%state0 ( sizeState,NofMyPhase)) plasticState(phase)%state0(1,1:NofMyPhase) = plastic_j2_tau0(instance) plasticState(phase)%state0(2,1:NofMyPhase) = 0.0_pReal allocate(plasticState(phase)%partionedState0 ( sizeState,NofMyPhase),source=0.0_pReal) allocate(plasticState(phase)%subState0 ( sizeState,NofMyPhase),source=0.0_pReal) allocate(plasticState(phase)%state ( sizeState,NofMyPhase),source=0.0_pReal) allocate(plasticState(phase)%state_backup ( sizeState,NofMyPhase),source=0.0_pReal) allocate(plasticState(phase)%dotState (sizeDotState,NofMyPhase),source=0.0_pReal) allocate(plasticState(phase)%dotState_backup (sizeDotState,NofMyPhase),source=0.0_pReal) if (any(numerics_integrator == 1_pInt)) then allocate(plasticState(phase)%previousDotState (sizeDotState,NofMyPhase),source=0.0_pReal) allocate(plasticState(phase)%previousDotState2(sizeDotState,NofMyPhase),source=0.0_pReal) endif if (any(numerics_integrator == 4_pInt)) & allocate(plasticState(phase)%RK4dotState (sizeDotState,NofMyPhase),source=0.0_pReal) if (any(numerics_integrator == 5_pInt)) & allocate(plasticState(phase)%RKCK45dotState (6,sizeDotState,NofMyPhase),source=0.0_pReal) plasticState(phase)%slipRate => plasticState(phase)%dotState(2:2,1:NofMyPhase) plasticState(phase)%accumulatedSlip => plasticState(phase)%state (2:2,1:NofMyPhase) endif myPhase enddo initializeInstances end subroutine plastic_j2_init !-------------------------------------------------------------------------------------------------- !> @brief calculates plastic velocity gradient and its tangent !-------------------------------------------------------------------------------------------------- subroutine plastic_j2_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,ipc,ip,el) use math, only: & math_mul6x6, & math_Mandel6to33, & math_Plain3333to99, & math_deviatoric33, & math_mul33xx33 use material, only: & mappingConstitutive, & plasticState, & material_phase, & phase_plasticityInstance implicit none real(pReal), dimension(3,3), intent(out) :: & Lp !< plastic velocity gradient real(pReal), dimension(9,9), intent(out) :: & dLp_dTstar99 !< derivative of Lp with respect to 2nd Piola Kirchhoff stress real(pReal), dimension(6), intent(in) :: & Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element real(pReal), dimension(3,3) :: & Tstar_dev_33 !< deviatoric part of the 2nd Piola Kirchhoff stress tensor as 2nd order tensor real(pReal), dimension(3,3,3,3) :: & dLp_dTstar_3333 !< derivative of Lp with respect to Tstar as 4th order tensor real(pReal) :: & gamma_dot, & !< strainrate norm_Tstar_dev, & !< euclidean norm of Tstar_dev squarenorm_Tstar_dev !< square of the euclidean norm of Tstar_dev integer(pInt) :: & instance, & k, l, m, n instance = phase_plasticityInstance(material_phase(ipc,ip,el)) Tstar_dev_33 = math_deviatoric33(math_Mandel6to33(Tstar_v)) ! deviatoric part of 2nd Piola-Kirchhoff stress squarenorm_Tstar_dev = math_mul33xx33(Tstar_dev_33,Tstar_dev_33) norm_Tstar_dev = sqrt(squarenorm_Tstar_dev) if (norm_Tstar_dev <= 0.0_pReal) then ! Tstar == 0 --> both Lp and dLp_dTstar are zero Lp = 0.0_pReal dLp_dTstar99 = 0.0_pReal else gamma_dot = plastic_j2_gdot0(instance) & * (sqrt(1.5_pReal) * norm_Tstar_dev / (plastic_j2_fTaylor(instance) * & plasticState(mappingConstitutive(2,ipc,ip,el))%state(1,mappingConstitutive(1,ipc,ip,el)))) & **plastic_j2_n(instance) Lp = Tstar_dev_33/norm_Tstar_dev * gamma_dot/plastic_j2_fTaylor(instance) !-------------------------------------------------------------------------------------------------- ! Calculation of the tangent of Lp forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) & dLp_dTstar_3333(k,l,m,n) = (plastic_j2_n(instance)-1.0_pReal) * & Tstar_dev_33(k,l)*Tstar_dev_33(m,n) / squarenorm_Tstar_dev forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt) & dLp_dTstar_3333(k,l,k,l) = dLp_dTstar_3333(k,l,k,l) + 1.0_pReal forall (k=1_pInt:3_pInt,m=1_pInt:3_pInt) & dLp_dTstar_3333(k,k,m,m) = dLp_dTstar_3333(k,k,m,m) - 1.0_pReal/3.0_pReal dLp_dTstar99 = math_Plain3333to99(gamma_dot / plastic_j2_fTaylor(instance) * & dLp_dTstar_3333 / norm_Tstar_dev) end if end subroutine plastic_j2_LpAndItsTangent !-------------------------------------------------------------------------------------------------- !> @brief calculates the rate of change of microstructure !-------------------------------------------------------------------------------------------------- subroutine plastic_j2_dotState(Tstar_v,ipc,ip,el) use math, only: & math_mul6x6 use material, only: & mappingConstitutive, & plasticState, & material_phase, & phase_plasticityInstance implicit none real(pReal), dimension(6), intent(in):: & Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element real(pReal), dimension(6) :: & Tstar_dev_v !< deviatoric part of the 2nd Piola Kirchhoff stress tensor in Mandel notation real(pReal) :: & gamma_dot, & !< strainrate hardening, & !< hardening coefficient saturation, & !< saturation resistance norm_Tstar_dev !< euclidean norm of Tstar_dev integer(pInt) :: & instance, & !< instance of my instance (unique number of my constitutive model) of, & !< shortcut notation for offset position in state array ph !< shortcut notation for phase ID (unique number of all phases, regardless of constitutive model) of = mappingConstitutive(1,ipc,ip,el) ph = mappingConstitutive(2,ipc,ip,el) instance = phase_plasticityInstance(material_phase(ipc,ip,el)) !-------------------------------------------------------------------------------------------------- ! norm of deviatoric part of 2nd Piola-Kirchhoff stress Tstar_dev_v(1:3) = Tstar_v(1:3) - sum(Tstar_v(1:3))/3.0_pReal Tstar_dev_v(4:6) = Tstar_v(4:6) norm_Tstar_dev = sqrt(math_mul6x6(Tstar_dev_v,Tstar_dev_v)) !-------------------------------------------------------------------------------------------------- ! strain rate gamma_dot = plastic_j2_gdot0(instance) * ( sqrt(1.5_pReal) * norm_Tstar_dev & / &!----------------------------------------------------------------------------------- (plastic_j2_fTaylor(instance)*plasticState(ph)%state(1,of)) )**plastic_j2_n(instance) !-------------------------------------------------------------------------------------------------- ! hardening coefficient if (abs(gamma_dot) > 1e-12_pReal) then if (abs(plastic_j2_tausat_SinhFitA(instance)) <= tiny(0.0_pReal)) then saturation = plastic_j2_tausat(instance) else saturation = ( plastic_j2_tausat(instance) & + ( log( ( gamma_dot / plastic_j2_tausat_SinhFitA(instance)& )**(1.0_pReal / plastic_j2_tausat_SinhFitD(instance))& + sqrt( ( gamma_dot / plastic_j2_tausat_SinhFitA(instance) & )**(2.0_pReal / plastic_j2_tausat_SinhFitD(instance)) & + 1.0_pReal ) & ) & ! asinh(K) = ln(K + sqrt(K^2 +1)) )**(1.0_pReal / plastic_j2_tausat_SinhFitC(instance)) & / ( plastic_j2_tausat_SinhFitB(instance) & * (gamma_dot / plastic_j2_gdot0(instance))**(1.0_pReal / plastic_j2_n(instance)) & ) & ) endif hardening = ( plastic_j2_h0(instance) + plastic_j2_h0_slopeLnRate(instance) * log(gamma_dot) ) & * abs( 1.0_pReal - plasticState(ph)%state(1,of)/saturation )**plastic_j2_a(instance) & * sign(1.0_pReal, 1.0_pReal - plasticState(ph)%state(1,of)/saturation) else hardening = 0.0_pReal endif plasticState(ph)%dotState(1,of) = hardening * gamma_dot plasticState(ph)%dotState(2,of) = gamma_dot end subroutine plastic_j2_dotState !-------------------------------------------------------------------------------------------------- !> @brief return array of constitutive results !-------------------------------------------------------------------------------------------------- function plastic_j2_postResults(Tstar_v,ipc,ip,el) use math, only: & math_mul6x6 use material, only: & material_phase, & plasticState, & mappingConstitutive, & phase_plasticityInstance implicit none real(pReal), dimension(6), intent(in) :: & Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element real(pReal), dimension(plastic_j2_sizePostResults(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & plastic_j2_postResults real(pReal), dimension(6) :: & Tstar_dev_v ! deviatoric part of the 2nd Piola Kirchhoff stress tensor in Mandel notation real(pReal) :: & norm_Tstar_dev ! euclidean norm of Tstar_dev integer(pInt) :: & instance, & !< instance of my instance (unique number of my constitutive model) of, & !< shortcut notation for offset position in state array ph, & !< shortcut notation for phase ID (unique number of all phases, regardless of constitutive model) c, & o of = mappingConstitutive(1,ipc,ip,el) ph = mappingConstitutive(2,ipc,ip,el) instance = phase_plasticityInstance(material_phase(ipc,ip,el)) !-------------------------------------------------------------------------------------------------- ! calculate deviatoric part of 2nd Piola-Kirchhoff stress and its norm Tstar_dev_v(1:3) = Tstar_v(1:3) - sum(Tstar_v(1:3))/3.0_pReal Tstar_dev_v(4:6) = Tstar_v(4:6) norm_Tstar_dev = sqrt(math_mul6x6(Tstar_dev_v,Tstar_dev_v)) c = 0_pInt plastic_j2_postResults = 0.0_pReal outputsLoop: do o = 1_pInt,plastic_j2_Noutput(instance) select case(plastic_j2_outputID(o,instance)) case (flowstress_ID) plastic_j2_postResults(c+1_pInt) = plasticState(ph)%state(1,of) c = c + 1_pInt case (strainrate_ID) plastic_j2_postResults(c+1_pInt) = & plastic_j2_gdot0(instance) * ( sqrt(1.5_pReal) * norm_Tstar_dev & / &!---------------------------------------------------------------------------------- (plastic_j2_fTaylor(instance) * plasticState(ph)%state(1,of)) ) ** plastic_j2_n(instance) c = c + 1_pInt end select enddo outputsLoop end function plastic_j2_postResults end module plastic_j2