213 lines
7.9 KiB
Fortran
213 lines
7.9 KiB
Fortran
!--------------------------------------------------------------------------------------------------
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!> @author Luv Sharma, Max-Planck-Institut für Eisenforschung GmbH
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!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
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!> @brief material subroutine incorporating anisotropic brittle damage source mechanism
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!> @details to be done
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!--------------------------------------------------------------------------------------------------
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submodule (phase:damage) anisobrittle
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type :: tParameters !< container type for internal constitutive parameters
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real(pREAL) :: &
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dot_o_0, & !< opening rate of cleavage planes
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p !< damage rate sensitivity
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real(pREAL), dimension(:), allocatable :: &
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s_crit, & !< critical displacement
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g_crit !< critical load
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real(pREAL), dimension(:,:,:,:), allocatable :: &
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cleavage_systems
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integer :: &
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sum_N_cl !< total number of cleavage planes
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character(len=pSTRLEN), allocatable, dimension(:) :: &
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output
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end type tParameters
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type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstances)
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contains
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!--------------------------------------------------------------------------------------------------
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!> @brief module initialization
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!> @details reads in material parameters, allocates arrays, and does sanity checks
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!--------------------------------------------------------------------------------------------------
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module function anisobrittle_init() result(mySources)
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logical, dimension(:), allocatable :: mySources
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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 :: Nmembers,ph
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integer, dimension(:), allocatable :: N_cl
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character(len=:), allocatable :: &
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refs, &
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extmsg
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mySources = source_active('anisobrittle')
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if (count(mySources) == 0) return
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print'(/,1x,a)', '<<<+- phase:damage:anisobrittle init -+>>>'
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print'(/,a,i0)', ' # phases: ',count(mySources); flush(IO_STDOUT)
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phases => config_material%get_dict('phase')
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allocate(param(phases%length))
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extmsg = ''
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do ph = 1, phases%length
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if (mySources(ph)) then
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phase => phases%get_dict(ph)
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src => phase%get_dict('damage')
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associate(prm => param(ph))
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print'(/,1x,a,i0,a)', 'phase ',ph,': '//phases%key(ph)
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refs = config_listReferences(src,indent=3)
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if (len(refs) > 0) print'(/,1x,a)', refs
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N_cl = src%get_as1dInt('N_cl',defaultVal=emptyIntArray)
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prm%sum_N_cl = sum(abs(N_cl))
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prm%p = src%get_asReal('p')
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prm%dot_o_0 = src%get_asReal('dot_o_0')
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prm%s_crit = src%get_as1dReal('s_crit',requiredSize=size(N_cl))
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prm%g_crit = src%get_as1dReal('g_crit',requiredSize=size(N_cl))
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prm%cleavage_systems = lattice_SchmidMatrix_cleavage(N_cl,phase_lattice(ph),phase_cOverA(ph))
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! expand: family => system
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prm%s_crit = math_expand(prm%s_crit,N_cl)
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prm%g_crit = math_expand(prm%g_crit,N_cl)
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#if defined (__GFORTRAN__)
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prm%output = output_as1dStr(src)
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#else
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prm%output = src%get_as1dStr('output',defaultVal=emptyStrArray)
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#endif
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! sanity checks
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if (prm%p <= 0.0_pREAL) extmsg = trim(extmsg)//' p'
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if (prm%dot_o_0 <= 0.0_pREAL) extmsg = trim(extmsg)//' dot_o_0'
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if (any(prm%g_crit < 0.0_pREAL)) extmsg = trim(extmsg)//' g_crit'
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if (any(prm%s_crit < 0.0_pREAL)) extmsg = trim(extmsg)//' s_crit'
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Nmembers = count(material_ID_phase==ph)
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call phase_allocateState(damageState(ph),Nmembers,1,1,0)
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damageState(ph)%atol = src%get_asReal('atol_phi',defaultVal=1.0e-9_pREAL)
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if (any(damageState(ph)%atol < 0.0_pREAL)) extmsg = trim(extmsg)//' atol_phi'
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end associate
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if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'(damage_anisoBrittle)')
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end if
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end do
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end function anisobrittle_init
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!--------------------------------------------------------------------------------------------------
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!> @brief
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!--------------------------------------------------------------------------------------------------
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module subroutine anisobrittle_dotState(M_i, ph,en)
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integer, intent(in) :: &
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ph,en
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real(pREAL), intent(in), dimension(3,3) :: &
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M_i
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integer :: &
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a, i
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real(pREAL) :: &
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traction, traction_crit
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associate(prm => param(ph))
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damageState(ph)%dotState(1,en) = 0.0_pREAL
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do a = 1, prm%sum_N_cl
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traction_crit = damage_phi(ph,en)**2 * prm%g_crit(a)
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do i = 1,3
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traction = math_tensordot(M_i,prm%cleavage_systems(1:3,1:3,i,a))
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damageState(ph)%dotState(1,en) = damageState(ph)%dotState(1,en) &
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+ prm%dot_o_0 / prm%s_crit(a) &
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* (max(0.0_pREAL, abs(traction) - traction_crit)/traction_crit)**prm%p
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end do
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end do
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end associate
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end subroutine anisobrittle_dotState
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!--------------------------------------------------------------------------------------------------
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!> @brief Write results to HDF5 output file.
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!--------------------------------------------------------------------------------------------------
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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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integer :: o
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associate(prm => param(phase), stt => damageState(phase)%state)
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outputsLoop: do o = 1,size(prm%output)
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select case(trim(prm%output(o)))
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case ('Psi_D')
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call result_writeDataset(stt,group,trim(prm%output(o)),'damage energy density','J/m³')
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end select
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end do outputsLoop
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end associate
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end subroutine anisobrittle_result
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!--------------------------------------------------------------------------------------------------
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!> @brief contains the constitutive equation for calculating the velocity gradient
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!--------------------------------------------------------------------------------------------------
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module subroutine damage_anisobrittle_LiAndItsTangent(L_i, dL_i_dM_i, M_i, ph,en)
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integer, intent(in) :: &
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ph,en
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real(pREAL), intent(in), dimension(3,3) :: &
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M_i
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real(pREAL), intent(out), dimension(3,3) :: &
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L_i !< damage velocity gradient
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real(pREAL), intent(out), dimension(3,3,3,3) :: &
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dL_i_dM_i !< derivative of L_i with respect to M_i
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integer :: &
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a, k, l, m, n, i
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real(pREAL) :: &
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traction, traction_crit, &
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udot, dudot_dt
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L_i = 0.0_pREAL
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dL_i_dM_i = 0.0_pREAL
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associate(prm => param(ph))
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do a = 1,prm%sum_N_cl
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traction_crit = damage_phi(ph,en)**2 * prm%g_crit(a)
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do i = 1, 3
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traction = math_tensordot(M_i,prm%cleavage_systems(1:3,1:3,i,a))
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if (abs(traction) > traction_crit + tol_math_check) then
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udot = sign(1.0_pREAL,traction)* prm%dot_o_0 * ((abs(traction) - traction_crit)/traction_crit)**prm%p
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L_i = L_i + udot*prm%cleavage_systems(1:3,1:3,i,a)
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dudot_dt = sign(1.0_pREAL,traction)*udot*prm%p / (abs(traction) - traction_crit)
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forall (k=1:3,l=1:3,m=1:3,n=1:3) &
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dL_i_dM_i(k,l,m,n) = dL_i_dM_i(k,l,m,n) &
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+ dudot_dt*prm%cleavage_systems(k,l,i,a) * prm%cleavage_systems(m,n,i,a)
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end if
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end do
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end do
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end associate
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end subroutine damage_anisobrittle_LiAndItsTangent
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end submodule anisobrittle
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