!-------------------------------------------------------------------------------------------------- !> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH !> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH !> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH !> @brief material subroutine for phenomenological crystal plasticity formulation using a powerlaw !! fitting !-------------------------------------------------------------------------------------------------- module plastic_phenopowerlaw use prec, only: & pReal,& pInt implicit none private integer(pInt), dimension(:,:), allocatable, target, public :: & plastic_phenopowerlaw_sizePostResult !< size of each post result output character(len=64), dimension(:,:), allocatable, target, public :: & plastic_phenopowerlaw_output !< name of each post result output enum, bind(c) enumerator :: & undefined_ID, & resistance_slip_ID, & accumulatedshear_slip_ID, & shearrate_slip_ID, & resolvedstress_slip_ID, & totalshear_ID, & resistance_twin_ID, & accumulatedshear_twin_ID, & shearrate_twin_ID, & resolvedstress_twin_ID, & totalvolfrac_twin_ID end enum type, private :: tParameters !< container type for internal constitutive parameters integer(pInt) :: & totalNslip, & totalNtwin real(pReal) :: & gdot0_slip, & !< reference shear strain rate for slip gdot0_twin, & !< reference shear strain rate for twin n_slip, & !< stress exponent for slip n_twin, & !< stress exponent for twin spr, & !< push-up factor for slip saturation due to twinning twinB, & twinC, & twinD, & twinE, & h0_SlipSlip, & !< reference hardening slip - slip h0_TwinSlip, & !< reference hardening twin - slip h0_TwinTwin, & !< reference hardening twin - twin a_slip, & aTolResistance, & ! default absolute tolerance 1 Pa aTolShear, & ! default absolute tolerance 1e-6 aTolTwinfrac ! default absolute tolerance 1e-6 integer(pInt), dimension(:), allocatable :: & Nslip, & !< active number of slip systems per family Ntwin !< active number of twin systems per family real(pReal), dimension(:), allocatable :: & xi_slip_0, & !< initial critical shear stress for slip xi_twin_0, & !< initial critical shear stress for twin xi_slip_sat, & !< maximum critical shear stress for slip nonSchmidCoeff, & H_int, & !< per family hardening activity (optional) !ToDo: Better name! gamma_twin_char !< characteristic shear for twins real(pReal), dimension(:,:), allocatable :: & interaction_SlipSlip, & !< slip resistance from slip activity interaction_SlipTwin, & !< slip resistance from twin activity interaction_TwinSlip, & !< twin resistance from slip activity interaction_TwinTwin !< twin resistance from twin activity real(pReal), dimension(:,:,:), allocatable :: & Schmid_slip, & Schmid_twin, & nonSchmid_pos, & nonSchmid_neg integer(kind(undefined_ID)), dimension(:), allocatable :: & outputID !< ID of each post result output end type type(tParameters), dimension(:), allocatable, private :: param !< containers of constitutive parameters (len Ninstance) type, private :: tPhenopowerlawState real(pReal), pointer, dimension(:,:) :: & xi_slip, & xi_twin, & gamma_slip, & gamma_twin, & whole real(pReal), pointer, dimension(:) :: & sumGamma, & sumF end type type(tPhenopowerlawState), allocatable, dimension(:), private :: & dotState, & state public :: & plastic_phenopowerlaw_init, & plastic_phenopowerlaw_LpAndItsTangent, & plastic_phenopowerlaw_dotState, & plastic_phenopowerlaw_postResults contains !-------------------------------------------------------------------------------------------------- !> @brief module initialization !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- subroutine plastic_phenopowerlaw_init #if defined(__GFORTRAN__) || __INTEL_COMPILER >= 1800 use, intrinsic :: iso_fortran_env, only: & compiler_version, & compiler_options #endif use prec, only: & dEq0 use debug, only: & debug_level, & debug_constitutive,& debug_levelBasic use math, only: & math_expand use IO, only: & IO_warning, & IO_error, & IO_timeStamp use material, only: & phase_plasticity, & phase_plasticityInstance, & phase_Noutput, & PLASTICITY_PHENOPOWERLAW_LABEL, & PLASTICITY_PHENOPOWERLAW_ID, & material_phase, & plasticState use config, only: & MATERIAL_partPhase, & config_phase use lattice use numerics,only: & numerics_integrator implicit none integer(pInt) :: & maxNinstance, & instance,p,j,k, o, i,& NipcMyPhase, outputSize, & sizeState,sizeDotState, & startIndex, endIndex integer(pInt), dimension(0), parameter :: emptyIntArray = [integer(pInt)::] real(pReal), dimension(0), parameter :: emptyRealArray = [real(pReal)::] character(len=65536), dimension(0), parameter :: emptyStringArray = [character(len=65536)::] type(tParameters) :: & prm type(tPhenopowerlawState) :: & stt, & dot integer(kind(undefined_ID)) :: & outputID !< ID of each post result output character(len=512) :: & extmsg = '', & structure = '' character(len=65536), dimension(:), allocatable :: outputs write(6,'(/,a)') ' <<<+- constitutive_'//PLASTICITY_PHENOPOWERLAW_label//' init -+>>>' write(6,'(a15,a)') ' Current time: ',IO_timeStamp() #include "compilation_info.f90" maxNinstance = int(count(phase_plasticity == PLASTICITY_PHENOPOWERLAW_ID),pInt) if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) & write(6,'(a16,1x,i5,/)') '# instances:',maxNinstance allocate(plastic_phenopowerlaw_sizePostResult(maxval(phase_Noutput),maxNinstance),source=0_pInt) allocate(plastic_phenopowerlaw_output(maxval(phase_Noutput),maxNinstance)) plastic_phenopowerlaw_output = '' allocate(param(maxNinstance)) ! one container of parameters per instance allocate(state(maxNinstance)) allocate(dotState(maxNinstance)) do p = 1_pInt, size(phase_plasticityInstance) if (phase_plasticity(p) /= PLASTICITY_PHENOPOWERLAW_ID) cycle instance = phase_plasticityInstance(p) associate(prm => param(instance),stt => state(instance),dot => dotState(instance)) extmsg = '' structure = config_phase(p)%getString('lattice_structure') prm%Nslip = config_phase(p)%getInts('nslip',defaultVal=emptyIntArray) prm%totalNslip = sum(prm%Nslip) if (size(prm%Nslip) > count(lattice_NslipSystem(:,p) > 0_pInt)) & call IO_error(150_pInt,ext_msg='Nslip') if (any(lattice_NslipSystem(1:size(prm%Nslip),p)-prm%Nslip < 0_pInt)) & call IO_error(150_pInt,ext_msg='Nslip') slipActive: if (prm%totalNslip > 0_pInt) then prm%Schmid_slip = lattice_SchmidMatrix_slip(prm%Nslip,structure(1:3),& config_phase(p)%getFloat('c/a',defaultVal=0.0_pReal)) ! reading in slip related parameters prm%xi_slip_0 = config_phase(p)%getFloats('tau0_slip', requiredShape=shape(prm%Nslip)) prm%xi_slip_sat = config_phase(p)%getFloats('tausat_slip', requiredShape=shape(prm%Nslip)) prm%interaction_SlipSlip = lattice_interactionSlipSlip2(prm%Nslip,config_phase(p)%getFloats('interaction_slipslip'), & structure(1:3)) prm%H_int = config_phase(p)%getFloats('h_int', requiredShape=shape(prm%Nslip), & defaultVal=[(0.0_pReal,i=1_pInt,size(prm%Nslip))]) prm%nonSchmidCoeff = config_phase(p)%getFloats('nonschmid_coefficients',& defaultVal = emptyRealArray ) if(structure=='bcc') then prm%nonSchmid_pos = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,+1_pInt) prm%nonSchmid_neg = lattice_nonSchmidMatrix(prm%Nslip,prm%nonSchmidCoeff,-1_pInt) else prm%nonSchmid_pos = prm%Schmid_slip prm%nonSchmid_neg = prm%Schmid_slip endif prm%gdot0_slip = config_phase(p)%getFloat('gdot0_slip') prm%n_slip = config_phase(p)%getFloat('n_slip') prm%a_slip = config_phase(p)%getFloat('a_slip') prm%h0_SlipSlip = config_phase(p)%getFloat('h0_slipslip') ! sanity checks for slip related parameters if (any(prm%xi_slip_0 < 0.0_pReal .and. prm%Nslip > 0_pInt)) & extmsg = trim(extmsg)//"xi_slip_0 " if (any(prm%xi_slip_sat < prm%xi_slip_0 .and. prm%Nslip > 0_pInt)) & extmsg = trim(extmsg)//"xi_slip_sat " if (prm%gdot0_slip <= 0.0_pReal) extmsg = trim(extmsg)//"gdot0_slip " if (dEq0(prm%a_slip)) extmsg = trim(extmsg)//"a_slip " ! ToDo: negative values ok? if (dEq0(prm%n_slip)) extmsg = trim(extmsg)//"n_slip " ! ToDo: negative values ok? ! expand slip related parameters from system => family prm%xi_slip_0 = math_expand(prm%xi_slip_0,prm%Nslip) prm%xi_slip_sat = math_expand(prm%xi_slip_sat,prm%Nslip) prm%H_int = math_expand(prm%H_int,prm%Nslip) else slipActive allocate(prm%interaction_SlipSlip(0,0)) allocate(prm%xi_slip_0(0)) endif slipActive prm%Ntwin = config_phase(p)%getInts('ntwin', defaultVal=emptyIntArray) prm%totalNtwin = sum(prm%Ntwin) if (size(prm%Ntwin) > count(lattice_NtwinSystem(:,p) > 0_pInt)) & call IO_error(150_pInt,ext_msg='Ntwin') if (any(lattice_NtwinSystem(1:size(prm%Ntwin),p)-prm%Ntwin < 0_pInt)) & call IO_error(150_pInt,ext_msg='Ntwin') twinActive: if (prm%totalNtwin > 0_pInt) then prm%Schmid_twin = lattice_SchmidMatrix_twin(prm%Ntwin,structure(1:3),& config_phase(p)%getFloat('c/a',defaultVal=0.0_pReal)) ! reading in twin related parameters prm%xi_twin_0 = config_phase(p)%getFloats('tau0_twin',requiredShape=shape(prm%Ntwin)) prm%interaction_TwinTwin = lattice_interactionTwinTwin2(prm%Ntwin,config_phase(p)%getFloats('interaction_twintwin'), & structure(1:3)) prm%gdot0_twin = config_phase(p)%getFloat('gdot0_twin') prm%n_twin = config_phase(p)%getFloat('n_twin') prm%spr = config_phase(p)%getFloat('s_pr') prm%h0_TwinTwin = config_phase(p)%getFloat('h0_twintwin') ! sanity checks for twin related parameters if (any(prm%xi_twin_0 < 0.0_pReal .and. prm%Ntwin > 0_pInt)) & extmsg = trim(extmsg)//"xi_twin_0 " if (prm%gdot0_twin <= 0.0_pReal) extmsg = trim(extmsg)//"gdot0_twin " if (dEq0(prm%n_twin)) extmsg = trim(extmsg)//"n_twin " ! ToDo: negative values ok? ! expand slip related parameters from system => family prm%xi_twin_0 = math_expand(prm%xi_twin_0,prm%Ntwin) else twinActive allocate(prm%interaction_TwinTwin(0,0)) allocate(prm%xi_twin_0(0)) endif twinActive prm%gamma_twin_char = lattice_characteristicShear_twin(prm%Ntwin,structure(1:3),& config_phase(p)%getFloat('c/a',defaultVal=0.0_pReal)) slipAndTwinActive: if (prm%totalNslip > 0_pInt .and. prm%totalNtwin > 0_pInt) then prm%interaction_SlipTwin = lattice_interactionSlipTwin2(prm%Nslip,prm%Ntwin,& config_phase(p)%getFloats('interaction_sliptwin'), & structure(1:3)) prm%interaction_TwinSlip = lattice_interactionTwinSlip2(prm%Ntwin,prm%Nslip,& config_phase(p)%getFloats('interaction_twinslip'), & structure(1:3)) else slipAndTwinActive allocate(prm%interaction_SlipTwin(prm%totalNslip,prm%TotalNtwin)) ! at least one dimension 0 allocate(prm%interaction_TwinSlip(prm%totalNtwin,prm%TotalNslip)) ! at least one dimension 0 prm%h0_TwinSlip = 0.0_pReal endif slipAndTwinActive ! optional parameters that should be defined prm%twinB = config_phase(p)%getFloat('twin_b',defaultVal=1.0_pReal) prm%twinC = config_phase(p)%getFloat('twin_c',defaultVal=0.0_pReal) prm%twinD = config_phase(p)%getFloat('twin_d',defaultVal=0.0_pReal) prm%twinE = config_phase(p)%getFloat('twin_e',defaultVal=0.0_pReal) prm%aTolResistance = config_phase(p)%getFloat('atol_resistance',defaultVal=1.0_pReal) prm%aTolShear = config_phase(p)%getFloat('atol_shear', defaultVal=1.0e-6_pReal) prm%aTolTwinfrac = config_phase(p)%getFloat('atol_twinfrac', defaultVal=1.0e-6_pReal) if (prm%aTolResistance <= 0.0_pReal) extmsg = trim(extmsg)//"aTolresistance " if (prm%aTolShear <= 0.0_pReal) extmsg = trim(extmsg)//"aTolShear " if (prm%aTolTwinfrac <= 0.0_pReal) extmsg = trim(extmsg)//"atoltwinfrac " if (extmsg /= '') call IO_error(211_pInt,ip=instance,& ext_msg=trim(extmsg)//'('//PLASTICITY_PHENOPOWERLAW_label//')') outputs = config_phase(p)%getStrings('(output)',defaultVal=emptyStringArray) allocate(prm%outputID(0)) do i=1_pInt, size(outputs) outputID = undefined_ID select case(outputs(i)) case ('resistance_slip') outputID = merge(resistance_slip_ID,undefined_ID,prm%totalNslip>0_pInt) outputSize = prm%totalNslip case ('accumulatedshear_slip') outputID = merge(accumulatedshear_slip_ID,undefined_ID,prm%totalNslip>0_pInt) outputSize = prm%totalNslip case ('shearrate_slip') outputID = merge(shearrate_slip_ID,undefined_ID,prm%totalNslip>0_pInt) outputSize = prm%totalNslip case ('resolvedstress_slip') outputID = merge(resolvedstress_slip_ID,undefined_ID,prm%totalNslip>0_pInt) outputSize = prm%totalNslip case ('resistance_twin') outputID = merge(resistance_twin_ID,undefined_ID,prm%totalNtwin>0_pInt) outputSize = prm%totalNtwin case ('accumulatedshear_twin') outputID = merge(accumulatedshear_twin_ID,undefined_ID,prm%totalNtwin>0_pInt) outputSize = prm%totalNtwin case ('shearrate_twin') outputID = merge(shearrate_twin_ID,undefined_ID,prm%totalNtwin>0_pInt) outputSize = prm%totalNtwin case ('resolvedstress_twin') outputID = merge(resolvedstress_twin_ID,undefined_ID,prm%totalNtwin>0_pInt) outputSize = prm%totalNtwin case ('totalshear') outputID = merge(totalshear_ID,undefined_ID,prm%totalNslip>0_pInt) outputSize = 1_pInt case ('totalvolfrac_twin') outputID = merge(totalvolfrac_twin_ID,undefined_ID,prm%totalNtwin>0_pInt) outputSize = 1_pInt end select if (outputID /= undefined_ID) then plastic_phenopowerlaw_output(i,instance) = outputs(i) plastic_phenopowerlaw_sizePostResult(i,instance) = outputSize prm%outputID = [prm%outputID , outputID] endif end do !-------------------------------------------------------------------------------------------------- ! allocate state arrays NipcMyPhase = count(material_phase == p) ! number of IPCs containing my phase sizeState = size(['tau_slip ','gamma_slip']) * prm%TotalNslip & + size(['tau_twin ','gamma_twin']) * prm%TotalNtwin & + size(['sum(gamma)','sum(f) ']) !-------------------------------------------------------------------------------------------------- ! ToDo: This could be done by a function (in constitutive?) sizeDotState = sizeState plasticState(p)%sizeState = sizeState plasticState(p)%sizeDotState = sizeDotState plasticState(p)%sizePostResults = sum(plastic_phenopowerlaw_sizePostResult(:,instance)) plasticState(p)%nSlip = prm%totalNslip plasticState(p)%nTwin = prm%totalNtwin allocate(plasticState(p)%aTolState ( sizeState), source=0.0_pReal) allocate(plasticState(p)%state0 ( sizeState,NipcMyPhase), source=0.0_pReal) allocate(plasticState(p)%partionedState0 ( sizeState,NipcMyPhase), source=0.0_pReal) allocate(plasticState(p)%subState0 ( sizeState,NipcMyPhase), source=0.0_pReal) allocate(plasticState(p)%state ( sizeState,NipcMyPhase), source=0.0_pReal) allocate(plasticState(p)%dotState (sizeDotState,NipcMyPhase), source=0.0_pReal) allocate(plasticState(p)%deltaState (0_pInt,NipcMyPhase), source=0.0_pReal) if (any(numerics_integrator == 1_pInt)) then allocate(plasticState(p)%previousDotState (sizeDotState,NipcMyPhase),source=0.0_pReal) allocate(plasticState(p)%previousDotState2(sizeDotState,NipcMyPhase),source=0.0_pReal) endif if (any(numerics_integrator == 4_pInt)) & allocate(plasticState(p)%RK4dotState (sizeDotState,NipcMyPhase), source=0.0_pReal) if (any(numerics_integrator == 5_pInt)) & allocate(plasticState(p)%RKCK45dotState (6,sizeDotState,NipcMyPhase), source=0.0_pReal) !-------------------------------------------------------------------------------------------------- ! locally defined state aliases and initialization of state0 and aTolState startIndex = 1_pInt endIndex = prm%totalNslip stt%xi_slip => plasticState(p)%state (startIndex:endIndex,:) stt%xi_slip = spread(prm%xi_slip_0, 2, NipcMyPhase) dot%xi_slip => plasticState(p)%dotState(startIndex:endIndex,:) plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance startIndex = endIndex + 1_pInt endIndex = endIndex + prm%totalNtwin stt%xi_twin => plasticState(p)%state (startIndex:endIndex,:) stt%xi_twin = spread(prm%xi_twin_0, 2, NipcMyPhase) dot%xi_twin => plasticState(p)%dotState(startIndex:endIndex,:) plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance startIndex = endIndex + 1_pInt endIndex = endIndex + 1_pInt stt%sumGamma => plasticState(p)%state (startIndex,:) dot%sumGamma => plasticState(p)%dotState(startIndex,:) plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolShear startIndex = endIndex + 1_pInt endIndex = endIndex + 1_pInt stt%sumF=>plasticState(p)%state (startIndex,:) dot%sumF=>plasticState(p)%dotState(startIndex,:) plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolTwinFrac startIndex = endIndex + 1_pInt endIndex = endIndex + prm%totalNslip stt%gamma_slip => plasticState(p)%state (startIndex:endIndex,:) dot%gamma_slip => plasticState(p)%dotState(startIndex:endIndex,:) plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolShear ! global alias plasticState(p)%slipRate => plasticState(p)%dotState(startIndex:endIndex,:) plasticState(p)%accumulatedSlip => plasticState(p)%state(startIndex:endIndex,:) startIndex = endIndex + 1_pInt endIndex = endIndex + prm%totalNtwin stt%gamma_twin => plasticState(p)%state (startIndex:endIndex,:) dot%gamma_twin => plasticState(p)%dotState(startIndex:endIndex,:) plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolShear plasticState(p)%state0 = plasticState(p)%state dot%whole => plasticState(p)%dotState end associate enddo end subroutine plastic_phenopowerlaw_init !-------------------------------------------------------------------------------------------------- !> @brief calculates plastic velocity gradient and its tangent !-------------------------------------------------------------------------------------------------- subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of) implicit none real(pReal), dimension(3,3), intent(out) :: & Lp !< plastic velocity gradient real(pReal), dimension(3,3,3,3), intent(out) :: & dLp_dMp !< derivative of Lp with respect to the Mandel stress real(pReal), dimension(3,3), intent(in) :: & Mp !< Mandel stress integer(pInt), intent(in) :: & instance, & of integer(pInt) :: & i,k,l,m,n real(pReal), dimension(param(instance)%totalNslip) :: & dgdot_dtauslip_pos,dgdot_dtauslip_neg, & gdot_slip_pos,gdot_slip_neg real(pReal), dimension(param(instance)%totalNtwin) :: & gdot_twin,dgdot_dtautwin type(tParameters) :: prm type(tPhenopowerlawState) :: stt associate(prm => param(instance), stt => state(instance)) Lp = 0.0_pReal dLp_dMp = 0.0_pReal call kinetics_slip(prm,stt,of,Mp,gdot_slip_pos,gdot_slip_neg,dgdot_dtauslip_pos,dgdot_dtauslip_neg) slipSystems: do i = 1_pInt, prm%totalNslip Lp = Lp + (1.0_pReal-stt%sumF(of))*(gdot_slip_pos(i)+gdot_slip_neg(i))*prm%Schmid_slip(1:3,1:3,i) forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) & dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) & + dgdot_dtauslip_pos(i) * prm%Schmid_slip(k,l,i) * prm%nonSchmid_pos(m,n,i) & + dgdot_dtauslip_neg(i) * prm%Schmid_slip(k,l,i) * prm%nonSchmid_neg(m,n,i) enddo slipSystems call kinetics_twin(prm,stt,of,Mp,gdot_twin,dgdot_dtautwin) twinSystems: do i = 1_pInt, prm%totalNtwin Lp = Lp + gdot_twin(i)*prm%Schmid_twin(1:3,1:3,i) forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) & dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) & + dgdot_dtautwin(i)*prm%Schmid_twin(k,l,i)*prm%Schmid_twin(m,n,i) enddo twinSystems end associate end subroutine plastic_phenopowerlaw_LpAndItsTangent !-------------------------------------------------------------------------------------------------- !> @brief calculates the rate of change of microstructure !-------------------------------------------------------------------------------------------------- subroutine plastic_phenopowerlaw_dotState(Mp,instance,of) implicit none real(pReal), dimension(3,3), intent(in) :: & Mp !< Mandel stress integer(pInt), intent(in) :: & instance, & of integer(pInt) :: & i real(pReal) :: & c_SlipSlip,c_TwinSlip,c_TwinTwin, & xi_slip_sat_offset real(pReal), dimension(param(instance)%totalNslip) :: & left_SlipSlip,right_SlipSlip, & gdot_slip_pos,gdot_slip_neg type(tParameters) :: prm type(tPhenopowerlawState) :: dot,stt associate(prm => param(instance), stt => state(instance), dot => dotState(instance)) dot%whole(:,of) = 0.0_pReal !-------------------------------------------------------------------------------------------------- ! system-independent (nonlinear) prefactors to M_Xx (X influenced by x) matrices c_SlipSlip = prm%h0_slipslip * (1.0_pReal + prm%twinC*stt%sumF(of)** prm%twinB) c_TwinSlip = prm%h0_TwinSlip * stt%sumGamma(of)**prm%twinE c_TwinTwin = prm%h0_TwinTwin * stt%sumF(of)**prm%twinD !-------------------------------------------------------------------------------------------------- ! calculate left and right vectors left_SlipSlip = 1.0_pReal + prm%H_int xi_slip_sat_offset = prm%spr*sqrt(stt%sumF(of)) right_SlipSlip = abs(1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset)) **prm%a_slip & * sign(1.0_pReal,1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset)) !-------------------------------------------------------------------------------------------------- ! shear rates call kinetics_slip(prm,stt,of,Mp,gdot_slip_pos,gdot_slip_neg) dot%gamma_slip(:,of) = abs(gdot_slip_pos+gdot_slip_neg) dot%sumGamma(of) = sum(dot%gamma_slip(:,of)) call kinetics_twin(prm,stt,of,Mp,dot%gamma_twin(:,of)) if (stt%sumF(of) < 0.98_pReal) dot%sumF(of) = sum(dot%gamma_twin(:,of)/prm%gamma_twin_char) !-------------------------------------------------------------------------------------------------- ! hardening hardeningSlip: do i = 1_pInt, prm%totalNslip dot%xi_slip(i,of) = & c_SlipSlip * left_SlipSlip(i) & * dot_product(prm%interaction_SlipSlip(i,:),right_SlipSlip*dot%gamma_slip(:,of)) & + & dot_product(prm%interaction_SlipTwin(i,:),dot%gamma_twin(:,of)) enddo hardeningSlip hardeningTwin: do i = 1_pInt, prm%totalNtwin dot%xi_twin(i,of) = & c_TwinSlip & * dot_product(prm%interaction_TwinSlip(i,:),dot%gamma_slip(:,of)) & + & c_TwinTwin & * dot_product(prm%interaction_TwinTwin(i,:),dot%gamma_twin(:,of)) enddo hardeningTwin end associate end subroutine plastic_phenopowerlaw_dotState !-------------------------------------------------------------------------------------------------- !> @brief calculates shear rates on slip systems and derivatives with respect to resolved stress !> @details: Shear rates are calculated only optionally. NOTE: Agains the common convention, the !> result (i.e. intent(out)) variables are the last to have the optional arguments at the end !-------------------------------------------------------------------------------------------------- pure subroutine kinetics_slip(prm,stt,of,Mp,gdot_slip_pos,gdot_slip_neg, & dgdot_dtau_slip_pos,dgdot_dtau_slip_neg) use prec, only: & dNeq0 use math, only: & math_mul33xx33 implicit none type(tParameters), intent(in) :: & prm type(tPhenopowerlawState), intent(in) :: & stt integer(pInt), intent(in) :: & of real(pReal), dimension(prm%totalNslip), intent(out) :: & gdot_slip_pos, & gdot_slip_neg real(pReal), dimension(prm%totalNslip), optional, intent(out) :: & dgdot_dtau_slip_pos, & dgdot_dtau_slip_neg real(pReal), dimension(3,3), intent(in) :: & Mp real(pReal), dimension(prm%totalNslip) :: & tau_slip_pos, & tau_slip_neg integer(pInt) :: i do i = 1_pInt, prm%totalNslip tau_slip_pos(i) = math_mul33xx33(Mp,prm%nonSchmid_pos(1:3,1:3,i)) tau_slip_neg(i) = math_mul33xx33(Mp,prm%nonSchmid_neg(1:3,1:3,i)) enddo gdot_slip_pos = 0.5_pReal*prm%gdot0_slip & * sign(abs(tau_slip_pos/stt%xi_slip(:,of))**prm%n_slip, tau_slip_pos) gdot_slip_neg = 0.5_pReal*prm%gdot0_slip & * sign(abs(tau_slip_neg/stt%xi_slip(:,of))**prm%n_slip, tau_slip_neg) if (present(dgdot_dtau_slip_pos)) then where(dNeq0(tau_slip_pos)) dgdot_dtau_slip_pos = gdot_slip_pos*prm%n_slip/tau_slip_pos else where dgdot_dtau_slip_pos = 0.0_pReal end where endif if (present(dgdot_dtau_slip_neg)) then where(dNeq0(tau_slip_neg)) dgdot_dtau_slip_neg = gdot_slip_neg*prm%n_slip/tau_slip_neg else where dgdot_dtau_slip_neg = 0.0_pReal end where endif end subroutine kinetics_slip !-------------------------------------------------------------------------------------------------- !> @brief calculates shear rates on twin systems and derivatives with respect to resolved stress !> @details: Shear rates are calculated only optionally. NOTE: Agains the common convention, the !> result (i.e. intent(out)) variables are the last to have the optional arguments at the end !-------------------------------------------------------------------------------------------------- pure subroutine kinetics_twin(prm,stt,of,Mp,gdot_twin,dgdot_dtau_twin) use prec, only: & dNeq0 use math, only: & math_mul33xx33 implicit none type(tParameters), intent(in) :: & prm type(tPhenopowerlawState), intent(in) :: & stt integer(pInt), intent(in) :: & of real(pReal), dimension(3,3), intent(in) :: & Mp real(pReal), dimension(prm%totalNtwin), intent(out) :: & gdot_twin real(pReal), dimension(prm%totalNtwin), optional, intent(out) :: & dgdot_dtau_twin real(pReal), dimension(prm%totalNtwin) :: & tau_twin integer(pInt) :: i do i = 1_pInt, prm%totalNtwin tau_twin(i) = math_mul33xx33(Mp,prm%Schmid_twin(1:3,1:3,i)) enddo gdot_twin = merge((1.0_pReal-stt%sumF(of))*prm%gdot0_twin*(abs(tau_twin)/stt%xi_twin(:,of))**prm%n_twin, & 0.0_pReal, tau_twin>0.0_pReal) if (present(dgdot_dtau_twin)) then where(dNeq0(tau_twin)) dgdot_dtau_twin = gdot_twin*prm%n_twin/tau_twin else where dgdot_dtau_twin = 0.0_pReal end where endif end subroutine kinetics_twin !-------------------------------------------------------------------------------------------------- !> @brief return array of constitutive results !-------------------------------------------------------------------------------------------------- function plastic_phenopowerlaw_postResults(Mp,instance,of) result(postResults) use material, only: & material_phase, & plasticState, & phasememberAt, & phase_plasticityInstance use math, only: & math_mul33xx33, & math_Mandel6to33 implicit none real(pReal), dimension(3,3), intent(in) :: & Mp !< Mandel stress integer(pInt), intent(in) :: & instance, & of real(pReal), dimension(sum(plastic_phenopowerlaw_sizePostResult(:,instance))) :: & postResults integer(pInt) :: & o,c,i,j real(pReal), dimension(param(instance)%totalNslip) :: & gdot_slip_pos,gdot_slip_neg type(tParameters) :: prm type(tPhenopowerlawState) :: stt associate( prm => param(instance), stt => state(instance)) postResults = 0.0_pReal c = 0_pInt outputsLoop: do o = 1_pInt,size(prm%outputID) select case(prm%outputID(o)) case (resistance_slip_ID) postResults(c+1_pInt:c+prm%totalNslip) = stt%xi_slip(1:prm%totalNslip,of) c = c + prm%totalNslip case (accumulatedshear_slip_ID) postResults(c+1_pInt:c+prm%totalNslip) = stt%gamma_slip(1:prm%totalNslip,of) c = c + prm%totalNslip case (shearrate_slip_ID) call kinetics_slip(prm,stt,of,Mp,gdot_slip_pos,gdot_slip_neg) postResults(c+1_pInt:c+prm%totalNslip) = gdot_slip_pos+gdot_slip_neg c = c + prm%totalNslip case (resolvedstress_slip_ID) do i = 1_pInt, prm%totalNslip postResults(c+i) = math_mul33xx33(Mp,prm%Schmid_slip(1:3,1:3,i)) enddo c = c + prm%totalNslip case (resistance_twin_ID) postResults(c+1_pInt:c+prm%totalNtwin) = stt%xi_twin(1:prm%totalNtwin,of) c = c + prm%totalNtwin case (accumulatedshear_twin_ID) postResults(c+1_pInt:c+prm%totalNtwin) = stt%gamma_twin(1:prm%totalNtwin,of) c = c + prm%totalNtwin case (shearrate_twin_ID) call kinetics_twin(prm,stt,of,Mp,postResults(c+1_pInt:c+prm%totalNtwin)) c = c + prm%totalNtwin case (resolvedstress_twin_ID) do i = 1_pInt, prm%totalNtwin postResults(c+i) = math_mul33xx33(Mp,prm%Schmid_twin(1:3,1:3,i)) enddo c = c + prm%totalNtwin case (totalshear_ID) postResults(c+1_pInt) = stt%sumGamma(of) c = c + 1_pInt case (totalvolfrac_twin_ID) postResults(c+1_pInt) = stt%sumF(of) c = c + 1_pInt end select enddo outputsLoop end associate end function plastic_phenopowerlaw_postResults end module plastic_phenopowerlaw