!-------------------------------------------------------------------------------------------------- !> @brief internal microstructure state for all damage sources and kinematics constitutive models !-------------------------------------------------------------------------------------------------- submodule(phase) damage type :: tDamageParameters real(pReal) :: & mu = 0.0_pReal, & !< viscosity l_c = 0.0_pReal !< characteristic length end type tDamageParameters enum, bind(c); enumerator :: & DAMAGE_UNDEFINED_ID, & DAMAGE_ISOBRITTLE_ID, & DAMAGE_ANISOBRITTLE_ID end enum integer :: phase_damage_maxSizeDotState type :: tDataContainer real(pReal), dimension(:), allocatable :: phi end type tDataContainer integer(kind(DAMAGE_UNDEFINED_ID)), dimension(:), allocatable :: & phase_damage !< active sources mechanisms of each phase type(tDataContainer), dimension(:), allocatable :: current type(tDamageParameters), dimension(:), allocatable :: param interface module function anisobrittle_init() result(mySources) logical, dimension(:), allocatable :: mySources end function anisobrittle_init module function isobrittle_init() result(mySources) logical, dimension(:), allocatable :: mySources end function isobrittle_init module subroutine isobrittle_deltaState(C, Fe, ph, en) integer, intent(in) :: ph,en real(pReal), intent(in), dimension(3,3) :: & Fe real(pReal), intent(in), dimension(6,6) :: & C end subroutine isobrittle_deltaState module subroutine anisobrittle_dotState(M_i, ph, en) integer, intent(in) :: ph,en real(pReal), intent(in), dimension(3,3) :: & M_i end subroutine anisobrittle_dotState module subroutine anisobrittle_result(phase,group) integer, intent(in) :: phase character(len=*), intent(in) :: group end subroutine anisobrittle_result module subroutine isobrittle_result(phase,group) integer, intent(in) :: phase character(len=*), intent(in) :: group end subroutine isobrittle_result end interface contains !---------------------------------------------------------------------------------------------- !< @brief Initialize damage mechanisms. !---------------------------------------------------------------------------------------------- module subroutine damage_init() integer :: & ph, & Nmembers type(tDict), pointer :: & phases, & phase, & source character(len=:), allocatable :: refs logical:: damage_active print'(/,1x,a)', '<<<+- phase:damage init -+>>>' phases => config_material%get_dict('phase') allocate(current(phases%length)) allocate(damageState(phases%length)) allocate(param(phases%length)) damage_active = .false. do ph = 1,phases%length Nmembers = count(material_ID_phase == ph) allocate(current(ph)%phi(Nmembers),source=1.0_pReal) phase => phases%get_dict(ph) source => phase%get_dict('damage',defaultVal=emptyDict) if (source%length > 0) then print'(/,1x,a,i0,a)', 'phase ',ph,': '//phases%key(ph) refs = config_listReferences(source,indent=3) if (len(refs) > 0) print'(/,1x,a)', refs damage_active = .true. param(ph)%mu = source%get_asFloat('mu') param(ph)%l_c = source%get_asFloat('l_c') end if end do allocate(phase_damage(phases%length), source = DAMAGE_UNDEFINED_ID) if (damage_active) then where(isobrittle_init() ) phase_damage = DAMAGE_ISOBRITTLE_ID where(anisobrittle_init()) phase_damage = DAMAGE_ANISOBRITTLE_ID end if phase_damage_maxSizeDotState = maxval(damageState%sizeDotState) end subroutine damage_init !-------------------------------------------------------------------------------------------------- !> @brief calculate stress (P) !-------------------------------------------------------------------------------------------------- module function phase_damage_constitutive(Delta_t,co,ce) result(converged_) real(pReal), intent(in) :: Delta_t integer, intent(in) :: & co, & ce logical :: converged_ integer :: & ph, en ph = material_ID_phase(co,ce) en = material_entry_phase(co,ce) converged_ = .not. integrateDamageState(Delta_t,ph,en) end function phase_damage_constitutive !-------------------------------------------------------------------------------------------------- !> @brief returns the degraded/modified elasticity matrix !-------------------------------------------------------------------------------------------------- module function phase_damage_C66(C66,ph,en) result(C66_degraded) real(pReal), dimension(6,6), intent(in) :: C66 integer, intent(in) :: ph,en real(pReal), dimension(6,6) :: C66_degraded damageType: select case (phase_damage(ph)) case (DAMAGE_ISOBRITTLE_ID) damageType C66_degraded = C66 * damage_phi(ph,en)**2 case default damageType C66_degraded = C66 end select damageType end function phase_damage_C66 !-------------------------------------------------------------------------------------------------- !> @brief Restore data after homog cutback. !-------------------------------------------------------------------------------------------------- module subroutine damage_restore(ce) integer, intent(in) :: ce integer :: & co do co = 1,homogenization_Nconstituents(material_ID_homogenization(ce)) if (damageState(material_ID_phase(co,ce))%sizeState > 0) & damageState(material_ID_phase(co,ce))%state( :,material_entry_phase(co,ce)) = & damageState(material_ID_phase(co,ce))%state0(:,material_entry_phase(co,ce)) end do end subroutine damage_restore !---------------------------------------------------------------------------------------------- !< @brief returns local part of nonlocal damage driving force !---------------------------------------------------------------------------------------------- module function phase_f_phi(phi,co,ce) result(f) integer, intent(in) :: ce,co real(pReal), intent(in) :: & phi !< damage parameter real(pReal) :: & f integer :: & ph, & en ph = material_ID_phase(co,ce) en = material_entry_phase(co,ce) select case(phase_damage(ph)) case(DAMAGE_ISOBRITTLE_ID,DAMAGE_ANISOBRITTLE_ID) f = 1.0_pReal & - phi*damageState(ph)%state(1,en) case default f = 0.0_pReal end select end function phase_f_phi !-------------------------------------------------------------------------------------------------- !> @brief integrate stress, state with adaptive 1st order explicit Euler method !> using Fixed Point Iteration to adapt the stepsize !-------------------------------------------------------------------------------------------------- function integrateDamageState(Delta_t,ph,en) result(broken) real(pReal), intent(in) :: Delta_t integer, intent(in) :: & ph, & en logical :: broken integer :: & NiterationState, & !< number of iterations in state loop size_so real(pReal) :: & zeta real(pReal), dimension(phase_damage_maxSizeDotState) :: & r ! state residuum real(pReal), dimension(phase_damage_maxSizeDotState,2) :: source_dotState logical :: & converged_ if (damageState(ph)%sizeState == 0) then broken = .false. return end if converged_ = .true. broken = phase_damage_collectDotState(ph,en) if (broken) return size_so = damageState(ph)%sizeDotState damageState(ph)%state(1:size_so,en) = damageState(ph)%state0 (1:size_so,en) & + damageState(ph)%dotState(1:size_so,en) * Delta_t source_dotState(1:size_so,2) = 0.0_pReal iteration: do NiterationState = 1, num%nState if (nIterationState > 1) source_dotState(1:size_so,2) = source_dotState(1:size_so,1) source_dotState(1:size_so,1) = damageState(ph)%dotState(:,en) broken = phase_damage_collectDotState(ph,en) if (broken) exit iteration zeta = damper(damageState(ph)%dotState(:,en),source_dotState(1:size_so,1),source_dotState(1:size_so,2)) damageState(ph)%dotState(:,en) = damageState(ph)%dotState(:,en) * zeta & + source_dotState(1:size_so,1)* (1.0_pReal - zeta) r(1:size_so) = damageState(ph)%state (1:size_so,en) & - damageState(ph)%State0 (1:size_so,en) & - damageState(ph)%dotState(1:size_so,en) * Delta_t damageState(ph)%state(1:size_so,en) = damageState(ph)%state(1:size_so,en) - r(1:size_so) converged_ = converged_ .and. converged(r(1:size_so), & damageState(ph)%state(1:size_so,en), & damageState(ph)%atol(1:size_so)) if (converged_) then broken = phase_damage_deltaState(mechanical_F_e(ph,en),ph,en) exit iteration end if end do iteration broken = broken .or. .not. converged_ contains !-------------------------------------------------------------------------------------------------- !> @brief Calculate the damping for correction of state and dot state. !-------------------------------------------------------------------------------------------------- real(pReal) pure function damper(omega_0,omega_1,omega_2) real(pReal), dimension(:), intent(in) :: & omega_0, omega_1, omega_2 real(pReal) :: dot_prod12, dot_prod22 dot_prod12 = dot_product(omega_0-omega_1, omega_1-omega_2) dot_prod22 = dot_product(omega_1-omega_2, omega_1-omega_2) if (min(dot_product(omega_0,omega_1),dot_prod12) < 0.0_pReal .and. dot_prod22 > 0.0_pReal) then damper = 0.75_pReal + 0.25_pReal * tanh(2.0_pReal + 4.0_pReal * dot_prod12 / dot_prod22) else damper = 1.0_pReal end if end function damper end function integrateDamageState module subroutine damage_restartWrite(groupHandle,ph) integer(HID_T), intent(in) :: groupHandle integer, intent(in) :: ph select case(phase_damage(ph)) case(DAMAGE_ISOBRITTLE_ID,DAMAGE_ANISOBRITTLE_ID) call HDF5_write(damageState(ph)%state,groupHandle,'omega_damage') end select end subroutine damage_restartWrite module subroutine damage_restartRead(groupHandle,ph) integer(HID_T), intent(in) :: groupHandle integer, intent(in) :: ph select case(phase_damage(ph)) case(DAMAGE_ISOBRITTLE_ID,DAMAGE_ANISOBRITTLE_ID) call HDF5_read(damageState(ph)%state0,groupHandle,'omega_damage') end select end subroutine damage_restartRead !---------------------------------------------------------------------------------------------- !< @brief writes damage sources results to HDF5 output file !---------------------------------------------------------------------------------------------- module subroutine damage_result(group,ph) character(len=*), intent(in) :: group integer, intent(in) :: ph if (phase_damage(ph) /= DAMAGE_UNDEFINED_ID) & call result_closeGroup(result_addGroup(group//'damage')) sourceType: select case (phase_damage(ph)) case (DAMAGE_ISOBRITTLE_ID) sourceType call isobrittle_result(ph,group//'damage/') case (DAMAGE_ANISOBRITTLE_ID) sourceType call anisobrittle_result(ph,group//'damage/') end select sourceType end subroutine damage_result !-------------------------------------------------------------------------------------------------- !> @brief Constitutive equation for calculating the rate of change of microstructure. !-------------------------------------------------------------------------------------------------- function phase_damage_collectDotState(ph,en) result(broken) integer, intent(in) :: & ph, & en !< counter in source loop logical :: broken broken = .false. if (damageState(ph)%sizeState > 0) then sourceType: select case (phase_damage(ph)) case (DAMAGE_ANISOBRITTLE_ID) sourceType call anisobrittle_dotState(mechanical_S(ph,en), ph,en) ! ToDo: use M_d end select sourceType broken = broken .or. any(IEEE_is_NaN(damageState(ph)%dotState(:,en))) end if end function phase_damage_collectDotState !-------------------------------------------------------------------------------------------------- !> @brief Damage viscosity. !-------------------------------------------------------------------------------------------------- module function phase_mu_phi(co,ce) result(mu) integer, intent(in) :: co, ce real(pReal) :: mu mu = param(material_ID_phase(co,ce))%mu end function phase_mu_phi !-------------------------------------------------------------------------------------------------- !> @brief Damage conductivity/diffusivity in reference configuration. !-------------------------------------------------------------------------------------------------- module function phase_K_phi(co,ce) result(K) integer, intent(in) :: co, ce real(pReal), dimension(3,3) :: K K = crystallite_push33ToRef(co,ce,param(material_ID_phase(co,ce))%l_c**2*math_I3) end function phase_K_phi !-------------------------------------------------------------------------------------------------- !> @brief for constitutive models having an instantaneous change of state !> will return false if delta state is not needed/supported by the constitutive model !-------------------------------------------------------------------------------------------------- function phase_damage_deltaState(Fe, ph, en) result(broken) integer, intent(in) :: & ph, & en real(pReal), intent(in), dimension(3,3) :: & Fe !< elastic deformation gradient integer :: & myOffset, & mySize logical :: & broken broken = .false. if (damageState(ph)%sizeState == 0) return sourceType: select case (phase_damage(ph)) case (DAMAGE_ISOBRITTLE_ID) sourceType call isobrittle_deltaState(phase_homogenizedC66(ph,en), Fe, ph,en) broken = any(IEEE_is_NaN(damageState(ph)%deltaState(:,en))) if (.not. broken) then myOffset = damageState(ph)%offsetDeltaState mySize = damageState(ph)%sizeDeltaState damageState(ph)%state(myOffset + 1: myOffset + mySize,en) = & damageState(ph)%state(myOffset + 1: myOffset + mySize,en) + damageState(ph)%deltaState(1:mySize,en) end if end select sourceType end function phase_damage_deltaState !-------------------------------------------------------------------------------------------------- !> @brief Check if a source mechanism is active or not. !-------------------------------------------------------------------------------------------------- function source_active(source_label) result(active_source) character(len=*), intent(in) :: source_label !< name of source mechanism logical, dimension(:), allocatable :: active_source type(tDict), pointer :: & phases, & phase, & src integer :: ph phases => config_material%get_dict('phase') allocate(active_source(phases%length)) do ph = 1, phases%length phase => phases%get_dict(ph) src => phase%get_dict('damage',defaultVal=emptyDict) active_source(ph) = src%get_asString('type',defaultVal = 'x') == source_label end do end function source_active !---------------------------------------------------------------------------------------------- !< @brief Set damage parameter !---------------------------------------------------------------------------------------------- module subroutine phase_set_phi(phi,co,ce) real(pReal), intent(in) :: phi integer, intent(in) :: ce, co current(material_ID_phase(co,ce))%phi(material_entry_phase(co,ce)) = phi end subroutine phase_set_phi module function damage_phi(ph,en) result(phi) integer, intent(in) :: ph, en real(pReal) :: phi phi = current(ph)%phi(en) end function damage_phi !-------------------------------------------------------------------------------------------------- !> @brief Forward data after successful increment. !-------------------------------------------------------------------------------------------------- module subroutine damage_forward() integer :: ph do ph = 1, size(damageState) if (damageState(ph)%sizeState > 0) & damageState(ph)%state0 = damageState(ph)%state end do end subroutine damage_forward end submodule damage