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