!-------------------------------------------------------------------------------------------------- !> @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 use config use IO use math use lattice use material implicit none private integer, dimension(:), allocatable :: kinematics_slipplane_opening_instance type :: tParameters !< container type for internal constitutive parameters integer :: & sum_N_sl real(pReal) :: & sdot0, & n real(pReal), dimension(:), allocatable :: & critLoad real(pReal), dimension(:,:,:), allocatable :: & P_d, & P_t, & P_n end type tParameters type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstance) 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 integer :: Ninstance,p,i character(len=pStringLen) :: extmsg = '' integer, dimension(:), allocatable :: N_sl real(pReal), dimension(:,:), allocatable :: d,n,t write(6,'(/,a)') ' <<<+- kinematics_'//KINEMATICS_SLIPPLANE_OPENING_LABEL//' init -+>>>' Ninstance = count(phase_kinematics == KINEMATICS_SLIPPLANE_OPENING_ID) write(6,'(a16,1x,i5,/)') '# instances:',Ninstance; flush(6) allocate(kinematics_slipplane_opening_instance(size(config_phase)), source=0) allocate(param(Ninstance)) do p = 1, size(config_phase) kinematics_slipplane_opening_instance(p) = count(phase_kinematics(:,1:p) == KINEMATICS_SLIPPLANE_OPENING_ID) if (all(phase_kinematics(:,p) /= KINEMATICS_SLIPPLANE_OPENING_ID)) cycle associate(prm => param(kinematics_slipplane_opening_instance(p)), & config => config_phase(p)) prm%sdot0 = config%getFloat('anisoductile_sdot0') prm%n = config%getFloat('anisoductile_ratesensitivity') N_sl = config%getInts('nslip') prm%sum_N_sl = sum(abs(N_sl)) d = lattice_slip_direction (N_sl,config%getString('lattice_structure'),& config%getFloat('c/a',defaultVal=0.0_pReal)) t = lattice_slip_transverse(N_sl,config%getString('lattice_structure'),& config%getFloat('c/a',defaultVal=0.0_pReal)) n = lattice_slip_normal (N_sl,config%getString('lattice_structure'),& config%getFloat('c/a',defaultVal=0.0_pReal)) allocate(prm%P_d(3,3,size(d,2)),prm%P_t(3,3,size(t,2)),prm%P_n(3,3,size(n,2))) do i=1, size(n,2) prm%P_d(1:3,1:3,i) = math_outer(d(1:3,i), n(1:3,i)) prm%P_t(1:3,1:3,i) = math_outer(t(1:3,i), n(1:3,i)) prm%P_n(1:3,1:3,i) = math_outer(n(1:3,i), n(1:3,i)) enddo prm%critLoad = config%getFloats('anisoductile_criticalload',requiredSize=size(N_sl)) ! expand: family => system prm%critLoad = math_expand(prm%critLoad,N_sl) ! sanity checks if (prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' anisoDuctile_n' if (prm%sdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' anisoDuctile_sdot0' if (any(prm%critLoad < 0.0_pReal)) extmsg = trim(extmsg)//' anisoDuctile_critLoad' !-------------------------------------------------------------------------------------------------- ! exit if any parameter is out of range if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'('//KINEMATICS_SLIPPLANE_OPENING_LABEL//')') end associate enddo end subroutine kinematics_slipplane_opening_init !-------------------------------------------------------------------------------------------------- !> @brief contains the constitutive equation for calculating the velocity gradient !-------------------------------------------------------------------------------------------------- subroutine kinematics_slipplane_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 :: & instance, phase, & 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 phase = material_phaseAt(ipc,el) instance = kinematics_slipplane_opening_instance(phase) homog = material_homogenizationAt(el) damageOffset = damageMapping(homog)%p(ip,el) associate(prm => param(instance)) Ld = 0.0_pReal dLd_dTstar = 0.0_pReal do i = 1, prm%sum_N_sl traction_d = math_tensordot(S,prm%P_d(1:3,1:3,i)) traction_t = math_tensordot(S,prm%P_t(1:3,1:3,i)) traction_n = math_tensordot(S,prm%P_n(1:3,1:3,i)) traction_crit = prm%critLoad(i)* damage(homog)%p(damageOffset) ! degrading critical load carrying capacity by damage udotd = sign(1.0_pReal,traction_d)* prm%sdot0* ( abs(traction_d)/traction_crit & - abs(traction_d)/prm%critLoad(i))**prm%n udott = sign(1.0_pReal,traction_t)* prm%sdot0* ( abs(traction_t)/traction_crit & - abs(traction_t)/prm%critLoad(i))**prm%n udotn = prm%sdot0* ( max(0.0_pReal,traction_n)/traction_crit & - max(0.0_pReal,traction_n)/prm%critLoad(i))**prm%n if (dNeq0(traction_d)) then dudotd_dt = udotd*prm%n/traction_d else dudotd_dt = 0.0_pReal endif if (dNeq0(traction_t)) then dudott_dt = udott*prm%n/traction_t else dudott_dt = 0.0_pReal endif if (dNeq0(traction_n)) then dudotn_dt = udotn*prm%n/traction_n else dudotn_dt = 0.0_pReal endif 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%P_d(k,l,i)*prm%P_d(m,n,i) & + dudott_dt*prm%P_t(k,l,i)*prm%P_t(m,n,i) & + dudotn_dt*prm%P_n(k,l,i)*prm%P_n(m,n,i) Ld = Ld & + udotd*prm%P_d(1:3,1:3,i) & + udott*prm%P_t(1:3,1:3,i) & + udotn*prm%P_n(1:3,1:3,i) enddo end associate end subroutine kinematics_slipplane_opening_LiAndItsTangent end module kinematics_slipplane_opening