!-------------------------------------------------------------------------------------------------- !> @author Luv Sharma, Max-Planck-Institut für Eisenforschung GmbH !> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH !> @brief material subroutine incorporating kinematics resulting from opening of slip planes !> @details to be done !-------------------------------------------------------------------------------------------------- module kinematics_slipplane_opening use prec, only: & pReal, & pInt implicit none private integer(pInt), dimension(:), allocatable, public, protected :: & kinematics_slipplane_opening_sizePostResults, & !< cumulative size of post results kinematics_slipplane_opening_offset, & !< which kinematics is my current damage mechanism? kinematics_slipplane_opening_instance !< instance of damage kinematics mechanism integer(pInt), dimension(:,:), allocatable, target, public :: & kinematics_slipplane_opening_sizePostResult !< size of each post result output character(len=64), dimension(:,:), allocatable, target, public :: & kinematics_slipplane_opening_output !< name of each post result output integer(pInt), dimension(:), allocatable, target, public :: & kinematics_slipplane_opening_Noutput !< number of outputs per instance of this damage integer(pInt), dimension(:), allocatable, private :: & kinematics_slipplane_opening_totalNslip !< total number of slip systems integer(pInt), dimension(:,:), allocatable, private :: & kinematics_slipplane_opening_Nslip !< number of slip systems per family real(pReal), dimension(:), allocatable, private :: & kinematics_slipplane_opening_sdot_0, & kinematics_slipplane_opening_N real(pReal), dimension(:,:), allocatable, private :: & kinematics_slipplane_opening_critPlasticStrain, & kinematics_slipplane_opening_critLoad public :: & kinematics_slipplane_opening_init, & kinematics_slipplane_opening_LiAndItsTangent contains !-------------------------------------------------------------------------------------------------- !> @brief module initialization !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- subroutine kinematics_slipplane_opening_init(fileUnit) use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment) use debug, only: & debug_level,& debug_constitutive,& debug_levelBasic use IO, only: & IO_read, & IO_lc, & IO_getTag, & IO_isBlank, & IO_stringPos, & IO_stringValue, & IO_floatValue, & IO_intValue, & IO_warning, & IO_error, & IO_timeStamp, & IO_EOF use material, only: & phase_kinematics, & phase_Nkinematics, & phase_Noutput, & KINEMATICS_slipplane_opening_label, & KINEMATICS_slipplane_opening_ID, & material_Nphase, & MATERIAL_partPhase use numerics,only: & worldrank use lattice, only: & lattice_maxNslipFamily, & lattice_NslipSystem implicit none integer(pInt), intent(in) :: fileUnit integer(pInt), allocatable, dimension(:) :: chunkPos integer(pInt) :: maxNinstance,phase,instance,kinematics integer(pInt) :: Nchunks_SlipFamilies = 0_pInt, j character(len=65536) :: & tag = '', & line = '' mainProcess: if (worldrank == 0) then write(6,'(/,a)') ' <<<+- kinematics_'//KINEMATICS_slipplane_opening_LABEL//' init -+>>>' write(6,'(a15,a)') ' Current time: ',IO_timeStamp() #include "compilation_info.f90" endif mainProcess maxNinstance = int(count(phase_kinematics == KINEMATICS_slipplane_opening_ID),pInt) if (maxNinstance == 0_pInt) return if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) & write(6,'(a16,1x,i5,/)') '# instances:',maxNinstance allocate(kinematics_slipplane_opening_offset(material_Nphase), source=0_pInt) allocate(kinematics_slipplane_opening_instance(material_Nphase), source=0_pInt) do phase = 1, material_Nphase kinematics_slipplane_opening_instance(phase) = count(phase_kinematics(:,1:phase) == kinematics_slipplane_opening_ID) do kinematics = 1, phase_Nkinematics(phase) if (phase_kinematics(kinematics,phase) == kinematics_slipplane_opening_ID) & kinematics_slipplane_opening_offset(phase) = kinematics enddo enddo allocate(kinematics_slipplane_opening_sizePostResults(maxNinstance), source=0_pInt) allocate(kinematics_slipplane_opening_sizePostResult(maxval(phase_Noutput),maxNinstance),source=0_pInt) allocate(kinematics_slipplane_opening_output(maxval(phase_Noutput),maxNinstance)) kinematics_slipplane_opening_output = '' allocate(kinematics_slipplane_opening_Noutput(maxNinstance), source=0_pInt) allocate(kinematics_slipplane_opening_critLoad(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal) allocate(kinematics_slipplane_opening_critPlasticStrain(lattice_maxNslipFamily,maxNinstance),source=0.0_pReal) allocate(kinematics_slipplane_opening_Nslip(lattice_maxNslipFamily,maxNinstance), source=0_pInt) allocate(kinematics_slipplane_opening_totalNslip(maxNinstance), source=0_pInt) allocate(kinematics_slipplane_opening_N(maxNinstance), source=0.0_pReal) allocate(kinematics_slipplane_opening_sdot_0(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 phase section phase = phase + 1_pInt ! advance phase section counter cycle ! skip to next line endif if (phase > 0_pInt ) then; if (any(phase_kinematics(:,phase) == KINEMATICS_slipplane_opening_ID)) then ! do not short-circuit here (.and. with next if statemen). It's not safe in Fortran instance = kinematics_slipplane_opening_instance(phase) ! which instance of my damage is present phase chunkPos = IO_stringPos(line) tag = IO_lc(IO_stringValue(line,chunkPos,1_pInt)) ! extract key select case(tag) case ('nslip') ! Nchunks_SlipFamilies = chunkPos(1) - 1_pInt do j = 1_pInt, Nchunks_SlipFamilies kinematics_slipplane_opening_Nslip(j,instance) = IO_intValue(line,chunkPos,1_pInt+j) enddo case ('anisoductile_sdot0') kinematics_slipplane_opening_sdot_0(instance) = IO_floatValue(line,chunkPos,2_pInt) case ('anisoductile_criticalplasticstrain') do j = 1_pInt, Nchunks_SlipFamilies kinematics_slipplane_opening_critPlasticStrain(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo case ('anisoductile_ratesensitivity') kinematics_slipplane_opening_N(instance) = IO_floatValue(line,chunkPos,2_pInt) case ('anisoductile_criticalload') do j = 1_pInt, Nchunks_SlipFamilies kinematics_slipplane_opening_critLoad(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j) enddo end select endif; endif enddo parsingFile !-------------------------------------------------------------------------------------------------- ! sanity checks sanityChecks: do phase = 1_pInt, material_Nphase myPhase: if (any(phase_kinematics(:,phase) == KINEMATICS_slipplane_opening_ID)) then instance = kinematics_slipplane_opening_instance(phase) kinematics_slipplane_opening_Nslip(1:lattice_maxNslipFamily,instance) = & min(lattice_NslipSystem(1:lattice_maxNslipFamily,phase),& ! limit active cleavage systems per family to min of available and requested kinematics_slipplane_opening_Nslip(1:lattice_maxNslipFamily,instance)) kinematics_slipplane_opening_totalNslip(instance) = sum(kinematics_slipplane_opening_Nslip(:,instance)) if (kinematics_slipplane_opening_sdot_0(instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='sdot_0 ('//KINEMATICS_slipplane_opening_LABEL//')') if (any(kinematics_slipplane_opening_critPlasticStrain(:,instance) < 0.0_pReal)) & call IO_error(211_pInt,el=instance,ext_msg='criticaPlasticStrain ('//KINEMATICS_slipplane_opening_LABEL//')') if (kinematics_slipplane_opening_N(instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='rate_sensitivity ('//KINEMATICS_slipplane_opening_LABEL//')') endif myPhase enddo sanityChecks end subroutine kinematics_slipplane_opening_init !-------------------------------------------------------------------------------------------------- !> @brief contains the constitutive equation for calculating the velocity gradient !-------------------------------------------------------------------------------------------------- subroutine kinematics_slipplane_opening_LiAndItsTangent(Ld, dLd_dTstar3333, Tstar_v, ipc, ip, el) use prec, only: & tol_math_check use lattice, only: & lattice_maxNslipFamily, & lattice_NslipSystem, & lattice_sd, & lattice_st, & lattice_sn use material, only: & phaseAt, phasememberAt, & material_homog, & damage, & damageMapping use math, only: & math_Plain3333to99, & math_I3, & math_identity4th, & math_symmetric33, & math_Mandel33to6, & math_tensorproduct33, & math_det33, & math_mul33x33 implicit none integer(pInt), intent(in) :: & ipc, & !< grain number ip, & !< integration point number el !< element number real(pReal), intent(in), dimension(6) :: & Tstar_v !< 2nd Piola-Kirchhoff stress real(pReal), intent(out), dimension(3,3) :: & Ld !< damage velocity gradient real(pReal), intent(out), dimension(3,3,3,3) :: & dLd_dTstar3333 !< derivative of Ld with respect to Tstar (4th-order tensor) real(pReal), dimension(3,3) :: & projection_d, projection_t, projection_n !< projection modes 3x3 tensor real(pReal), dimension(6) :: & projection_d_v, projection_t_v, projection_n_v !< projection modes 3x3 vector integer(pInt) :: & phase, & constituent, & instance, & homog, damageOffset, & f, i, index_myFamily, k, l, m, n real(pReal) :: & traction_d, traction_t, traction_n, traction_crit, & udotd, dudotd_dt, udott, dudott_dt, udotn, dudotn_dt phase = phaseAt(ipc,ip,el) constituent = phasememberAt(ipc,ip,el) instance = kinematics_slipplane_opening_instance(phase) homog = material_homog(ip,el) damageOffset = damageMapping(homog)%p(ip,el) Ld = 0.0_pReal dLd_dTstar3333 = 0.0_pReal do f = 1_pInt,lattice_maxNslipFamily index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,phase)) ! at which index starts my family do i = 1_pInt,kinematics_slipplane_opening_Nslip(f,instance) ! process each (active) slip system in family projection_d = math_tensorproduct33(lattice_sd(1:3,index_myFamily+i,phase),& lattice_sn(1:3,index_myFamily+i,phase)) projection_t = math_tensorproduct33(lattice_st(1:3,index_myFamily+i,phase),& lattice_sn(1:3,index_myFamily+i,phase)) projection_n = math_tensorproduct33(lattice_sn(1:3,index_myFamily+i,phase),& lattice_sn(1:3,index_myFamily+i,phase)) projection_d_v(1:6) = math_Mandel33to6(math_symmetric33(projection_d(1:3,1:3))) projection_t_v(1:6) = math_Mandel33to6(math_symmetric33(projection_t(1:3,1:3))) projection_n_v(1:6) = math_Mandel33to6(math_symmetric33(projection_n(1:3,1:3))) traction_d = dot_product(Tstar_v,projection_d_v(1:6)) traction_t = dot_product(Tstar_v,projection_t_v(1:6)) traction_n = dot_product(Tstar_v,projection_n_v(1:6)) traction_crit = kinematics_slipplane_opening_critLoad(f,instance)* & damage(homog)%p(damageOffset) ! degrading critical load carrying capacity by damage udotd = & sign(1.0_pReal,traction_d)* & kinematics_slipplane_opening_sdot_0(instance)* & (abs(traction_d)/traction_crit - & abs(traction_d)/kinematics_slipplane_opening_critLoad(f,instance))**kinematics_slipplane_opening_N(instance) if (abs(udotd) > tol_math_check) then Ld = Ld + udotd*projection_d dudotd_dt = udotd*kinematics_slipplane_opening_N(instance)/traction_d forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) & dLd_dTstar3333(k,l,m,n) = dLd_dTstar3333(k,l,m,n) + & dudotd_dt*projection_d(k,l)*projection_d(m,n) endif udott = & sign(1.0_pReal,traction_t)* & kinematics_slipplane_opening_sdot_0(instance)* & (abs(traction_t)/traction_crit - & abs(traction_t)/kinematics_slipplane_opening_critLoad(f,instance))**kinematics_slipplane_opening_N(instance) if (abs(udott) > tol_math_check) then Ld = Ld + udott*projection_t dudott_dt = udott*kinematics_slipplane_opening_N(instance)/traction_t forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) & dLd_dTstar3333(k,l,m,n) = dLd_dTstar3333(k,l,m,n) + & dudott_dt*projection_t(k,l)*projection_t(m,n) endif udotn = & kinematics_slipplane_opening_sdot_0(instance)* & (max(0.0_pReal,traction_n)/traction_crit - & max(0.0_pReal,traction_n)/kinematics_slipplane_opening_critLoad(f,instance))**kinematics_slipplane_opening_N(instance) if (abs(udotn) > tol_math_check) then Ld = Ld + udotn*projection_n dudotn_dt = udotn*kinematics_slipplane_opening_N(instance)/traction_n forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) & dLd_dTstar3333(k,l,m,n) = dLd_dTstar3333(k,l,m,n) + & dudotn_dt*projection_n(k,l)*projection_n(m,n) endif enddo enddo end subroutine kinematics_slipplane_opening_LiAndItsTangent end module kinematics_slipplane_opening