!-------------------------------------------------------------------------------------------------- !> @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 !-------------------------------------------------------------------------------------------------- submodule(constitutive:constitutive_damage) kinematics_cleavage_opening integer, dimension(:), allocatable :: kinematics_cleavage_opening_instance type :: tParameters !< container type for internal constitutive parameters integer :: & sum_N_cl !< total number of cleavage planes real(pReal) :: & dot_o, & !< opening rate of cleavage planes q !< damage rate sensitivity real(pReal), dimension(:), allocatable :: & g_crit real(pReal), dimension(:,:,:,:), allocatable :: & cleavage_systems end type tParameters type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstances) contains !-------------------------------------------------------------------------------------------------- !> @brief module initialization !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- module function kinematics_cleavage_opening_init(kinematics_length) result(myKinematics) integer, intent(in) :: kinematics_length logical, dimension(:,:), allocatable :: myKinematics integer :: Ninstances,p,k integer, dimension(:), allocatable :: N_cl !< active number of cleavage systems per family character(len=pStringLen) :: extmsg = '' class(tNode), pointer :: & phases, & phase, & kinematics, & kinematic_type print'(/,a)', ' <<<+- kinematics_cleavage_opening init -+>>>' myKinematics = kinematics_active('cleavage_opening',kinematics_length) Ninstances = count(myKinematics) print'(a,i2)', ' # instances: ',Ninstances; flush(IO_STDOUT) if(Ninstances == 0) return phases => config_material%get('phase') allocate(param(Ninstances)) allocate(kinematics_cleavage_opening_instance(phases%length), source=0) do p = 1, phases%length if(any(myKinematics(:,p))) kinematics_cleavage_opening_instance(p) = count(myKinematics(:,1:p)) phase => phases%get(p) if(count(myKinematics(:,p)) == 0) cycle kinematics => phase%get('kinematics') do k = 1, kinematics%length if(myKinematics(k,p)) then associate(prm => param(kinematics_cleavage_opening_instance(p))) kinematic_type => kinematics%get(k) N_cl = kinematic_type%get_asInts('N_cl') prm%sum_N_cl = sum(abs(N_cl)) prm%q = kinematic_type%get_asFloat('q') prm%dot_o = kinematic_type%get_asFloat('dot_o') prm%g_crit = kinematic_type%get_asFloats('g_crit',requiredSize=size(N_cl)) prm%cleavage_systems = lattice_SchmidMatrix_cleavage(N_cl,phase%get_asString('lattice'),& phase%get_asFloat('c/a',defaultVal=0.0_pReal)) ! expand: family => system prm%g_crit = math_expand(prm%g_crit,N_cl) ! sanity checks if (prm%q <= 0.0_pReal) extmsg = trim(extmsg)//' q' if (prm%dot_o <= 0.0_pReal) extmsg = trim(extmsg)//' dot_o' if (any(prm%g_crit < 0.0_pReal)) extmsg = trim(extmsg)//' g_crit' !-------------------------------------------------------------------------------------------------- ! exit if any parameter is out of range if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'(cleavage_opening)') end associate endif enddo enddo end function kinematics_cleavage_opening_init !-------------------------------------------------------------------------------------------------- !> @brief contains the constitutive equation for calculating the velocity gradient !-------------------------------------------------------------------------------------------------- module 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 = material_homogenizationMemberAt(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%sum_N_cl traction_crit = prm%g_crit(i)* damage(homog)%p(damageOffset)**2.0_pReal traction_d = math_tensordot(S,prm%cleavage_systems(1:3,1:3,1,i)) if (abs(traction_d) > traction_crit + tol_math_check) then udotd = sign(1.0_pReal,traction_d)* prm%dot_o * ((abs(traction_d) - traction_crit)/traction_crit)**prm%q Ld = Ld + udotd*prm%cleavage_systems(1:3,1:3,1,i) dudotd_dt = sign(1.0_pReal,traction_d)*udotd*prm%q / (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 traction_t = math_tensordot(S,prm%cleavage_systems(1:3,1:3,2,i)) if (abs(traction_t) > traction_crit + tol_math_check) then udott = sign(1.0_pReal,traction_t)* prm%dot_o * ((abs(traction_t) - traction_crit)/traction_crit)**prm%q Ld = Ld + udott*prm%cleavage_systems(1:3,1:3,2,i) dudott_dt = sign(1.0_pReal,traction_t)*udott*prm%q / (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 traction_n = math_tensordot(S,prm%cleavage_systems(1:3,1:3,3,i)) if (abs(traction_n) > traction_crit + tol_math_check) then udotn = sign(1.0_pReal,traction_n)* prm%dot_o * ((abs(traction_n) - traction_crit)/traction_crit)**prm%q Ld = Ld + udotn*prm%cleavage_systems(1:3,1:3,3,i) dudotn_dt = sign(1.0_pReal,traction_n)*udotn*prm%q / (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 submodule kinematics_cleavage_opening