!-------------------------------------------------------------------------------------------------- !> @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 cleavage planes !> @details to be done !-------------------------------------------------------------------------------------------------- module kinematics_cleavage_opening use prec, only: & pReal, & pInt implicit none private integer(pInt), dimension(:), allocatable, private :: kinematics_cleavage_opening_instance type, private :: tParameters !< container type for internal constitutive parameters integer(pInt) :: & totalNcleavage integer(pInt), dimension(:), allocatable :: & Ncleavage !< active number of cleavage systems per family real(pReal) :: & sdot0, & n real(pReal), dimension(:), allocatable :: & critDisp, & critLoad end type ! Begin Deprecated integer(pInt), dimension(:), allocatable, private :: & kinematics_cleavage_opening_totalNcleavage !< total number of cleavage systems integer(pInt), dimension(:,:), allocatable, private :: & kinematics_cleavage_opening_Ncleavage !< number of cleavage systems per family real(pReal), dimension(:), allocatable, private :: & kinematics_cleavage_opening_sdot_0, & kinematics_cleavage_opening_N real(pReal), dimension(:,:), allocatable, private :: & kinematics_cleavage_opening_critDisp, & kinematics_cleavage_opening_critLoad ! End Deprecated public :: & kinematics_cleavage_opening_init, & kinematics_cleavage_opening_LiAndItsTangent contains !-------------------------------------------------------------------------------------------------- !> @brief module initialization !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- subroutine kinematics_cleavage_opening_init() #if defined(__GFORTRAN__) || __INTEL_COMPILER >= 1800 use, intrinsic :: iso_fortran_env, only: & compiler_version, & compiler_options #endif use debug, only: & debug_level,& debug_constitutive,& debug_levelBasic use config, only: & config_phase use IO, only: & IO_warning, & IO_error, & IO_timeStamp use material, only: & phase_kinematics, & KINEMATICS_cleavage_opening_label, & KINEMATICS_cleavage_opening_ID use lattice, only: & lattice_maxNcleavageFamily, & lattice_NcleavageSystem implicit none integer(pInt), allocatable, dimension(:) :: tempInt real(pReal), allocatable, dimension(:) :: tempFloat integer(pInt) :: maxNinstance,p,instance,kinematics write(6,'(/,a)') ' <<<+- kinematics_'//KINEMATICS_cleavage_opening_LABEL//' init -+>>>' write(6,'(a15,a)') ' Current time: ',IO_timeStamp() #include "compilation_info.f90" maxNinstance = int(count(phase_kinematics == KINEMATICS_cleavage_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_cleavage_opening_instance(size(config_phase)), source=0_pInt) do p = 1_pInt, size(config_phase) kinematics_cleavage_opening_instance(p) = count(phase_kinematics(:,1:p) == kinematics_cleavage_opening_ID) ! ToDo: count correct? enddo allocate(kinematics_cleavage_opening_critDisp(lattice_maxNcleavageFamily,maxNinstance), source=0.0_pReal) allocate(kinematics_cleavage_opening_critLoad(lattice_maxNcleavageFamily,maxNinstance), source=0.0_pReal) allocate(kinematics_cleavage_opening_Ncleavage(lattice_maxNcleavageFamily,maxNinstance), source=0_pInt) allocate(kinematics_cleavage_opening_totalNcleavage(maxNinstance), source=0_pInt) allocate(kinematics_cleavage_opening_sdot_0(maxNinstance), source=0.0_pReal) allocate(kinematics_cleavage_opening_N(maxNinstance), source=0.0_pReal) do p = 1_pInt, size(config_phase) if (all(phase_kinematics(:,p) /= KINEMATICS_cleavage_opening_ID)) cycle instance = kinematics_cleavage_opening_instance(p) kinematics_cleavage_opening_sdot_0(instance) = config_phase(p)%getFloat('anisobrittle_sdot0') kinematics_cleavage_opening_N(instance) = config_phase(p)%getFloat('anisobrittle_ratesensitivity') tempInt = config_phase(p)%getInts('ncleavage') kinematics_cleavage_opening_Ncleavage(1:size(tempInt),instance) = tempInt tempFloat = config_phase(p)%getFloats('anisobrittle_criticaldisplacement',requiredSize=size(tempInt)) kinematics_cleavage_opening_critDisp(1:size(tempInt),instance) = tempFloat tempFloat = config_phase(p)%getFloats('anisobrittle_criticalload',requiredSize=size(tempInt)) kinematics_cleavage_opening_critLoad(1:size(tempInt),instance) = tempFloat kinematics_cleavage_opening_Ncleavage(1:lattice_maxNcleavageFamily,instance) = & min(lattice_NcleavageSystem(1:lattice_maxNcleavageFamily,p),& ! limit active cleavage systems per family to min of available and requested kinematics_cleavage_opening_Ncleavage(1:lattice_maxNcleavageFamily,instance)) kinematics_cleavage_opening_totalNcleavage(instance) = sum(kinematics_cleavage_opening_Ncleavage(:,instance)) ! how many cleavage systems altogether if (kinematics_cleavage_opening_sdot_0(instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='sdot_0 ('//KINEMATICS_cleavage_opening_LABEL//')') if (any(kinematics_cleavage_opening_critDisp(1:size(tempInt),instance) < 0.0_pReal)) & call IO_error(211_pInt,el=instance,ext_msg='critical_displacement ('//KINEMATICS_cleavage_opening_LABEL//')') if (any(kinematics_cleavage_opening_critLoad(1:size(tempInt),instance) < 0.0_pReal)) & call IO_error(211_pInt,el=instance,ext_msg='critical_load ('//KINEMATICS_cleavage_opening_LABEL//')') if (kinematics_cleavage_opening_N(instance) <= 0.0_pReal) & call IO_error(211_pInt,el=instance,ext_msg='rate_sensitivity ('//KINEMATICS_cleavage_opening_LABEL//')') enddo end subroutine kinematics_cleavage_opening_init !-------------------------------------------------------------------------------------------------- !> @brief contains the constitutive equation for calculating the velocity gradient !-------------------------------------------------------------------------------------------------- subroutine kinematics_cleavage_opening_LiAndItsTangent(Ld, dLd_dTstar, S, ipc, ip, el) use prec, only: & tol_math_check use math, only: & math_mul33xx33 use material, only: & material_phase, & material_homog, & damage, & damageMapping use lattice, only: & lattice_Scleavage, & lattice_maxNcleavageFamily, & lattice_NcleavageSystem implicit none integer(pInt), intent(in) :: & ipc, & !< grain number ip, & !< integration point number el !< element number real(pReal), intent(in), dimension(3,3) :: & S real(pReal), intent(out), dimension(3,3) :: & Ld !< damage velocity gradient real(pReal), intent(out), dimension(3,3,3,3) :: & dLd_dTstar !< derivative of Ld with respect to Tstar (4th-order tensor) integer(pInt) :: & instance, phase, & 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 = material_phase(ipc,ip,el) instance = kinematics_cleavage_opening_instance(phase) homog = material_homog(ip,el) damageOffset = damageMapping(homog)%p(ip,el) Ld = 0.0_pReal dLd_dTstar = 0.0_pReal do f = 1_pInt,lattice_maxNcleavageFamily index_myFamily = sum(lattice_NcleavageSystem(1:f-1_pInt,phase)) ! at which index starts my family do i = 1_pInt,kinematics_cleavage_opening_Ncleavage(f,instance) ! process each (active) cleavage system in family traction_d = math_mul33xx33(S,lattice_Scleavage(1:3,1:3,1,index_myFamily+i,phase)) traction_t = math_mul33xx33(S,lattice_Scleavage(1:3,1:3,2,index_myFamily+i,phase)) traction_n = math_mul33xx33(S,lattice_Scleavage(1:3,1:3,3,index_myFamily+i,phase)) traction_crit = kinematics_cleavage_opening_critLoad(f,instance)* & damage(homog)%p(damageOffset)*damage(homog)%p(damageOffset) udotd = & sign(1.0_pReal,traction_d)* & kinematics_cleavage_opening_sdot_0(instance)* & (max(0.0_pReal, abs(traction_d) - traction_crit)/traction_crit)**kinematics_cleavage_opening_N(instance) if (abs(udotd) > tol_math_check) then Ld = Ld + udotd*lattice_Scleavage(1:3,1:3,1,index_myFamily+i,phase) dudotd_dt = sign(1.0_pReal,traction_d)*udotd*kinematics_cleavage_opening_N(instance)/ & max(0.0_pReal, abs(traction_d) - traction_crit) forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) & dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) + & dudotd_dt*lattice_Scleavage(k,l,1,index_myFamily+i,phase)* & lattice_Scleavage(m,n,1,index_myFamily+i,phase) endif udott = & sign(1.0_pReal,traction_t)* & kinematics_cleavage_opening_sdot_0(instance)* & (max(0.0_pReal, abs(traction_t) - traction_crit)/traction_crit)**kinematics_cleavage_opening_N(instance) if (abs(udott) > tol_math_check) then Ld = Ld + udott*lattice_Scleavage(1:3,1:3,2,index_myFamily+i,phase) dudott_dt = sign(1.0_pReal,traction_t)*udott*kinematics_cleavage_opening_N(instance)/ & max(0.0_pReal, abs(traction_t) - traction_crit) forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) & dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) + & dudott_dt*lattice_Scleavage(k,l,2,index_myFamily+i,phase)* & lattice_Scleavage(m,n,2,index_myFamily+i,phase) endif udotn = & sign(1.0_pReal,traction_n)* & kinematics_cleavage_opening_sdot_0(instance)* & (max(0.0_pReal, abs(traction_n) - traction_crit)/traction_crit)**kinematics_cleavage_opening_N(instance) if (abs(udotn) > tol_math_check) then Ld = Ld + udotn*lattice_Scleavage(1:3,1:3,3,index_myFamily+i,phase) dudotn_dt = sign(1.0_pReal,traction_n)*udotn*kinematics_cleavage_opening_N(instance)/ & max(0.0_pReal, abs(traction_n) - traction_crit) forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) & dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) + & dudotn_dt*lattice_Scleavage(k,l,3,index_myFamily+i,phase)* & lattice_Scleavage(m,n,3,index_myFamily+i,phase) endif enddo enddo end subroutine kinematics_cleavage_opening_LiAndItsTangent end module kinematics_cleavage_opening