DAMASK_EICMD/src/phase_damage_anisobrittle.f90

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!--------------------------------------------------------------------------------------------------
!> @author Luv Sharma, Max-Planck-Institut für Eisenforschung GmbH
!> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH
!> @brief material subroutine incorporating anisotropic brittle damage source mechanism
!> @details to be done
!--------------------------------------------------------------------------------------------------
submodule (phase:damage) anisobrittle
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type :: tParameters !< container type for internal constitutive parameters
real(pReal) :: &
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dot_o, & !< opening rate of cleavage planes
q !< damage rate sensitivity
real(pReal), dimension(:), allocatable :: &
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s_crit, & !< critical displacement
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g_crit !< critical load
real(pReal), dimension(:,:,:,:), allocatable :: &
cleavage_systems
integer :: &
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sum_N_cl !< total number of cleavage planes
character(len=pStringLen), allocatable, dimension(:) :: &
output
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
!--------------------------------------------------------------------------------------------------
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module function anisobrittle_init() result(mySources)
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logical, dimension(:), allocatable :: mySources
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class(tNode), pointer :: &
phases, &
phase, &
sources, &
src
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integer :: Nmembers,p
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integer, dimension(:), allocatable :: N_cl
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character(len=pStringLen) :: extmsg = ''
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mySources = source_active('anisobrittle')
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if(count(mySources) == 0) return
print'(/,a)', ' <<<+- phase:damage:anisobrittle init -+>>>'
print'(a,i0)', ' # phases: ',count(mySources); flush(IO_STDOUT)
phases => config_material%get('phase')
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allocate(param(phases%length))
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do p = 1, phases%length
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if(mySources(p)) then
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phase => phases%get(p)
sources => phase%get('damage')
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associate(prm => param(p))
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src => sources%get(1)
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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%q = src%get_asFloat('q')
prm%dot_o = src%get_asFloat('dot_o')
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prm%s_crit = src%get_as1dFloat('s_crit', requiredSize=size(N_cl))
prm%g_crit = src%get_as1dFloat('g_crit', requiredSize=size(N_cl))
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prm%cleavage_systems = lattice_SchmidMatrix_cleavage(N_cl,phase%get_asString('lattice'),&
phase%get_asFloat('c/a',defaultVal=0.0_pReal))
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! expand: family => system
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prm%s_crit = math_expand(prm%s_crit,N_cl)
prm%g_crit = math_expand(prm%g_crit,N_cl)
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#if defined (__GFORTRAN__)
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prm%output = output_as1dString(src)
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#else
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prm%output = src%get_as1dString('output',defaultVal=emptyStringArray)
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#endif
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! sanity checks
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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'
if (any(prm%s_crit < 0.0_pReal)) extmsg = trim(extmsg)//' s_crit'
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Nmembers = count(material_phaseAt==p) * discretization_nIPs
call phase_allocateState(damageState(p),Nmembers,1,1,0)
damageState(p)%atol = src%get_asFloat('anisobrittle_atol',defaultVal=1.0e-3_pReal)
if(any(damageState(p)%atol < 0.0_pReal)) extmsg = trim(extmsg)//' anisobrittle_atol'
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end associate
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!--------------------------------------------------------------------------------------------------
! exit if any parameter is out of range
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if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'(damage_anisoBrittle)')
endif
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enddo
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end function anisobrittle_init
!--------------------------------------------------------------------------------------------------
!> @brief calculates derived quantities from state
!--------------------------------------------------------------------------------------------------
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module subroutine anisobrittle_dotState(S, ph,me)
integer, intent(in) :: &
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ph,me
real(pReal), intent(in), dimension(3,3) :: &
S
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integer :: &
sourceOffset, &
damageOffset, &
homog, &
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i
real(pReal) :: &
traction_d, traction_t, traction_n, traction_crit
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associate(prm => param(ph))
damageState(ph)%dotState(1,me) = 0.0_pReal
do i = 1, prm%sum_N_cl
traction_d = math_tensordot(S,prm%cleavage_systems(1:3,1:3,1,i))
traction_t = math_tensordot(S,prm%cleavage_systems(1:3,1:3,2,i))
traction_n = math_tensordot(S,prm%cleavage_systems(1:3,1:3,3,i))
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traction_crit = prm%g_crit(i)*damage_phi(ph,me)**2.0_pReal
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damageState(ph)%dotState(1,me) = damageState(ph)%dotState(1,me) &
+ prm%dot_o / prm%s_crit(i) &
* ((max(0.0_pReal, abs(traction_d) - traction_crit)/traction_crit)**prm%q + &
(max(0.0_pReal, abs(traction_t) - traction_crit)/traction_crit)**prm%q + &
(max(0.0_pReal, abs(traction_n) - traction_crit)/traction_crit)**prm%q)
enddo
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end associate
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end subroutine anisobrittle_dotState
!--------------------------------------------------------------------------------------------------
!> @brief returns local part of nonlocal damage driving force
!--------------------------------------------------------------------------------------------------
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module subroutine anisobrittle_getRateAndItsTangent(localphiDot, dLocalphiDot_dPhi, phi, ph, me)
integer, intent(in) :: &
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ph, &
me
real(pReal), intent(in) :: &
phi
real(pReal), intent(out) :: &
localphiDot, &
dLocalphiDot_dPhi
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dLocalphiDot_dPhi = -damageState(ph)%state(1,me)
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localphiDot = 1.0_pReal &
+ dLocalphiDot_dPhi*phi
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end subroutine anisobrittle_getRateAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief writes results to HDF5 output file
!--------------------------------------------------------------------------------------------------
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module subroutine anisobrittle_results(phase,group)
integer, intent(in) :: phase
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character(len=*), intent(in) :: group
integer :: o
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associate(prm => param(phase), stt => damageState(phase)%state)
outputsLoop: do o = 1,size(prm%output)
select case(trim(prm%output(o)))
case ('f_phi')
call results_writeDataset(group,stt,trim(prm%output(o)),'driving force','J/m³')
end select
enddo outputsLoop
end associate
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end subroutine anisobrittle_results
!--------------------------------------------------------------------------------------------------
!> @brief contains the constitutive equation for calculating the velocity gradient
!--------------------------------------------------------------------------------------------------
module subroutine kinematics_cleavage_opening_LiAndItsTangent(Ld, dLd_dTstar, S, ph,me)
integer, intent(in) :: &
ph,me
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 :: &
i, k, l, m, n
real(pReal) :: &
traction_d, traction_t, traction_n, traction_crit, &
udotd, dudotd_dt, udott, dudott_dt, udotn, dudotn_dt
Ld = 0.0_pReal
dLd_dTstar = 0.0_pReal
associate(prm => param(ph))
do i = 1,prm%sum_N_cl
traction_crit = prm%g_crit(i)*damage_phi(ph,me)**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 anisobrittle