!-------------------------------------------------------------------------------------------------- !> @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 use IO use config use debug use math use lattice use material implicit none private integer, dimension(:), allocatable :: kinematics_cleavage_opening_instance type :: tParameters !< container type for internal constitutive parameters integer :: & totalNcleavage integer, dimension(:), allocatable :: & Ncleavage !< active number of cleavage systems per family real(pReal) :: & sdot0, & n real(pReal), dimension(:), allocatable :: & critLoad real(pReal), dimension(:,:,:,:), allocatable :: & cleavage_systems end type tParameters type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstance) 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 integer :: Ninstance,p character(len=pStringLen) :: extmsg = '' write(6,'(/,a)') ' <<<+- kinematics_'//KINEMATICS_cleavage_opening_LABEL//' init -+>>>'; flush(6) Ninstance = count(phase_kinematics == KINEMATICS_cleavage_opening_ID) if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) & write(6,'(a16,1x,i5,/)') '# instances:',Ninstance allocate(kinematics_cleavage_opening_instance(size(config_phase)), source=0) allocate(param(Ninstance)) do p = 1, size(config_phase) kinematics_cleavage_opening_instance(p) = count(phase_kinematics(:,1:p) == kinematics_cleavage_opening_ID) if (all(phase_kinematics(:,p) /= KINEMATICS_cleavage_opening_ID)) cycle associate(prm => param(kinematics_cleavage_opening_instance(p)), & config => config_phase(p)) prm%Ncleavage = config%getInts('ncleavage') prm%totalNcleavage = sum(prm%Ncleavage) prm%n = config%getFloat('anisobrittle_ratesensitivity') prm%sdot0 = config%getFloat('anisobrittle_sdot0') prm%critLoad = config%getFloats('anisobrittle_criticalload',requiredSize=size(prm%Ncleavage)) prm%cleavage_systems = lattice_SchmidMatrix_cleavage(prm%Ncleavage,config%getString('lattice_structure'),& config%getFloat('c/a',defaultVal=0.0_pReal)) ! expand: family => system prm%critLoad = math_expand(prm%critLoad, prm%Ncleavage) ! sanity checks if (prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' anisobrittle_n' if (prm%sdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' anisobrittle_sdot0' if (any(prm%critLoad < 0.0_pReal)) extmsg = trim(extmsg)//' anisobrittle_critLoad' !-------------------------------------------------------------------------------------------------- ! exit if any parameter is out of range if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'('//SOURCE_DAMAGE_ANISOBRITTLE_LABEL//')') end associate 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) integer, 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 :: & homog, damageOffset, & i, k, l, m, n real(pReal) :: & traction_d, traction_t, traction_n, traction_crit, & udotd, dudotd_dt, udott, dudott_dt, udotn, dudotn_dt homog = material_homogenizationAt(el) damageOffset = damageMapping(homog)%p(ip,el) Ld = 0.0_pReal dLd_dTstar = 0.0_pReal associate(prm => param(kinematics_cleavage_opening_instance(material_phaseAt(ipc,el)))) do i = 1,prm%totalNcleavage traction_d = math_mul33xx33(S,prm%cleavage_systems(1:3,1:3,1,i)) traction_t = math_mul33xx33(S,prm%cleavage_systems(1:3,1:3,2,i)) traction_n = math_mul33xx33(S,prm%cleavage_systems(1:3,1:3,3,i)) traction_crit = prm%critLoad(i)* damage(homog)%p(damageOffset)**2.0_pReal udotd = sign(1.0_pReal,traction_d)* prm%sdot0 & * (max(0.0_pReal, abs(traction_d) - traction_crit)/traction_crit)**prm%n if (abs(udotd) > tol_math_check) then Ld = Ld + udotd*prm%cleavage_systems(1:3,1:3,1,i) dudotd_dt = sign(1.0_pReal,traction_d)*udotd*prm%n & / max(0.0_pReal, abs(traction_d) - traction_crit) forall (k=1:3,l=1:3,m=1:3,n=1:3) & dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) & + dudotd_dt*prm%cleavage_systems(k,l,1,i) * prm%cleavage_systems(m,n,1,i) endif udott = sign(1.0_pReal,traction_t)* prm%sdot0 & * (max(0.0_pReal, abs(traction_t) - traction_crit)/traction_crit)**prm%n if (abs(udott) > tol_math_check) then Ld = Ld + udott*prm%cleavage_systems(1:3,1:3,2,i) dudott_dt = sign(1.0_pReal,traction_t)*udott*prm%n & / max(0.0_pReal, abs(traction_t) - traction_crit) forall (k=1:3,l=1:3,m=1:3,n=1:3) & dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) & + dudott_dt*prm%cleavage_systems(k,l,2,i) * prm%cleavage_systems(m,n,2,i) endif udotn = sign(1.0_pReal,traction_n)* prm%sdot0 & * (max(0.0_pReal, abs(traction_n) - traction_crit)/traction_crit)**prm%n if (abs(udotn) > tol_math_check) then Ld = Ld + udotn*prm%cleavage_systems(1:3,1:3,3,i) dudotn_dt = sign(1.0_pReal,traction_n)*udotn*prm%n & / max(0.0_pReal, abs(traction_n) - traction_crit) forall (k=1:3,l=1:3,m=1:3,n=1:3) & dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) & + dudotn_dt*prm%cleavage_systems(k,l,3,i) * prm%cleavage_systems(m,n,3,i) endif enddo end associate end subroutine kinematics_cleavage_opening_LiAndItsTangent end module kinematics_cleavage_opening