!--------------------------------------------------------------------------------------------------
!> @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:damagee) anisobrittle
integer, dimension(:), allocatable :: &
source_damage_anisoBrittle_offset, & !< which source is my current source mechanism?
source_damage_anisoBrittle_instance !< instance of source mechanism
type :: tParameters !< container type for internal constitutive parameters
real(pReal) :: &
dot_o, & !< opening rate of cleavage planes
q !< damage rate sensitivity
real(pReal), dimension(:), allocatable :: &
s_crit, & !< critical displacement
g_crit !< critical load
real(pReal), dimension(:,:,:,:), allocatable :: &
cleavage_systems
integer :: &
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
!--------------------------------------------------------------------------------------------------
module function anisobrittle_init(source_length) result(mySources)
integer, intent(in) :: source_length
logical, dimension(:,:), allocatable :: mySources
class(tNode), pointer :: &
phases, &
phase, &
sources, &
src
integer :: Ninstances,sourceOffset,Nconstituents,p
integer, dimension(:), allocatable :: N_cl
character(len=pStringLen) :: extmsg = ''
print'(/,a)', ' <<<+- phase:damage:anisobrittle init -+>>>'
mySources = source_active('damage_anisoBrittle',source_length)
Ninstances = count(mySources)
print'(a,i2)', ' # instances: ',Ninstances; flush(IO_STDOUT)
if(Ninstances == 0) return
phases => config_material%get('phase')
allocate(param(Ninstances))
allocate(source_damage_anisoBrittle_offset (phases%length), source=0)
allocate(source_damage_anisoBrittle_instance(phases%length), source=0)
do p = 1, phases%length
phase => phases%get(p)
if(any(mySources(:,p))) source_damage_anisoBrittle_instance(p) = count(mySources(:,1:p))
if(count(mySources(:,p)) == 0) cycle
sources => phase%get('source')
do sourceOffset = 1, sources%length
if(mySources(sourceOffset,p)) then
source_damage_anisoBrittle_offset(p) = sourceOffset
associate(prm => param(source_damage_anisoBrittle_instance(p)))
src => sources%get(sourceOffset)
N_cl = src%get_asInts('N_cl',defaultVal=emptyIntArray)
prm%sum_N_cl = sum(abs(N_cl))
prm%q = src%get_asFloat('q')
prm%dot_o = src%get_asFloat('dot_o')
prm%s_crit = src%get_asFloats('s_crit', requiredSize=size(N_cl))
prm%g_crit = src%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%s_crit = math_expand(prm%s_crit,N_cl)
prm%g_crit = math_expand(prm%g_crit,N_cl)
#if defined (__GFORTRAN__)
prm%output = output_asStrings(src)
#else
prm%output = src%get_asStrings('output',defaultVal=emptyStringArray)
#endif
! 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'
if (any(prm%s_crit < 0.0_pReal)) extmsg = trim(extmsg)//' s_crit'
Nconstituents = count(material_phaseAt==p) * discretization_nIPs
call phase_allocateState(damageState(p)%p(sourceOffset),Nconstituents,1,1,0)
damageState(p)%p(sourceOffset)%atol = src%get_asFloat('anisobrittle_atol',defaultVal=1.0e-3_pReal)
if(any(damageState(p)%p(sourceOffset)%atol < 0.0_pReal)) extmsg = trim(extmsg)//' anisobrittle_atol'
end associate
!--------------------------------------------------------------------------------------------------
! exit if any parameter is out of range
if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'(damage_anisoBrittle)')
endif
enddo
enddo
end function anisobrittle_init
!--------------------------------------------------------------------------------------------------
!> @brief calculates derived quantities from state
!--------------------------------------------------------------------------------------------------
module subroutine anisobrittle_dotState(S, co, ip, el)
integer, intent(in) :: &
co, & !< component-ID of integration point
ip, & !< integration point
el !< element
real(pReal), intent(in), dimension(3,3) :: &
S
integer :: &
ph, &
me, &
sourceOffset, &
damageOffset, &
homog, &
i
real(pReal) :: &
traction_d, traction_t, traction_n, traction_crit
ph = material_phaseAt(co,el)
me = material_phasememberAt(co,ip,el)
sourceOffset = source_damage_anisoBrittle_offset(ph)
homog = material_homogenizationAt(el)
damageOffset = material_homogenizationMemberAt(ip,el)
associate(prm => param(source_damage_anisoBrittle_instance(ph)))
damageState(ph)%p(sourceOffset)%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))
traction_crit = prm%g_crit(i)*damage(homog)%p(damageOffset)**2.0_pReal
damageState(ph)%p(sourceOffset)%dotState(1,me) &
= damageState(ph)%p(sourceOffset)%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
end associate
end subroutine anisobrittle_dotState
!--------------------------------------------------------------------------------------------------
!> @brief returns local part of nonlocal damage driving force
!--------------------------------------------------------------------------------------------------
module subroutine source_damage_anisobrittle_getRateAndItsTangent(localphiDot, dLocalphiDot_dPhi, phi, phase, constituent)
integer, intent(in) :: &
phase, &
constituent
real(pReal), intent(in) :: &
phi
real(pReal), intent(out) :: &
localphiDot, &
dLocalphiDot_dPhi
integer :: &
sourceOffset
sourceOffset = source_damage_anisoBrittle_offset(phase)
dLocalphiDot_dPhi = -damageState(phase)%p(sourceOffset)%state(1,constituent)
localphiDot = 1.0_pReal &
+ dLocalphiDot_dPhi*phi
end subroutine source_damage_anisoBrittle_getRateAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief writes results to HDF5 output file
!--------------------------------------------------------------------------------------------------
module subroutine anisobrittle_results(phase,group)
integer, intent(in) :: phase
character(len=*), intent(in) :: group
integer :: o
associate(prm => param(source_damage_anisoBrittle_instance(phase)), &
stt => damageState(phase)%p(source_damage_anisoBrittle_offset(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
end subroutine anisobrittle_results
end submodule anisobrittle