DAMASK_EICMD/code/damage_anisoBrittle.f90

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!--------------------------------------------------------------------------------------------------
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! $Id$
!--------------------------------------------------------------------------------------------------
!> @author Luv Sharma, Max-Planck-Institut f<>r Eisenforschung GmbH
!> @author Pratheek Shanthraj, Max-Planck-Institut f<>r Eisenforschung GmbH
!> @brief material subroutine incorporating anisotropic ductile damage
!> @details to be done
!--------------------------------------------------------------------------------------------------
module damage_anisoBrittle
use prec, only: &
pReal, &
pInt
implicit none
private
integer(pInt), dimension(:), allocatable, public, protected :: &
damage_anisoBrittle_sizePostResults !< cumulative size of post results
integer(pInt), dimension(:,:), allocatable, target, public :: &
damage_anisoBrittle_sizePostResult !< size of each post result output
character(len=64), dimension(:,:), allocatable, target, public :: &
damage_anisoBrittle_output !< name of each post result output
integer(pInt), dimension(:), allocatable, target, public :: &
damage_anisoBrittle_Noutput !< number of outputs per instance of this damage
integer(pInt), dimension(:), allocatable, private :: &
damage_anisoBrittle_totalNcleavage !< total number of cleavage systems
integer(pInt), dimension(:,:), allocatable, private :: &
damage_anisoBrittle_Ncleavage !< number of cleavage systems per family
real(pReal), dimension(:), allocatable, private :: &
damage_anisoBrittle_aTol_damage, &
damage_anisoBrittle_aTol_disp, &
damage_anisoBrittle_sdot_0, &
damage_anisoBrittle_N
real(pReal), dimension(:,:), allocatable, private :: &
damage_anisoBrittle_critDisp, &
damage_anisoBrittle_critLoad
enum, bind(c)
enumerator :: undefined_ID, &
local_damage_ID
end enum !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11 ToDo
integer(kind(undefined_ID)), dimension(:,:), allocatable, private :: &
damage_anisoBrittle_outputID !< ID of each post result output
public :: &
damage_anisoBrittle_init, &
damage_anisoBrittle_stateInit, &
damage_anisoBrittle_aTolState, &
damage_anisoBrittle_microstructure, &
damage_anisoBrittle_LdAndItsTangent, &
damage_anisoBrittle_getFd, &
damage_anisoBrittle_putFd, &
damage_anisoBrittle_getFd0, &
damage_anisoBrittle_getPartionedFd0, &
damage_anisoBrittle_getDamage, &
damage_anisoBrittle_putLocalDamage, &
damage_anisoBrittle_getLocalDamage, &
damage_anisoBrittle_postResults
contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
subroutine damage_anisoBrittle_init(fileUnit)
use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment)
use debug, only: &
debug_level,&
debug_constitutive,&
debug_levelBasic
use IO, only: &
IO_read, &
IO_lc, &
IO_getTag, &
IO_isBlank, &
IO_stringPos, &
IO_stringValue, &
IO_floatValue, &
IO_intValue, &
IO_warning, &
IO_error, &
IO_timeStamp, &
IO_EOF
use material, only: &
phase_damage, &
phase_damageInstance, &
phase_Noutput, &
LOCAL_damage_anisoBrittle_label, &
LOCAL_damage_anisoBrittle_ID, &
material_phase, &
damageState, &
MATERIAL_partPhase
use numerics,only: &
worldrank, &
numerics_integrator
use lattice, only: &
lattice_maxNcleavageFamily, &
lattice_NcleavageSystem
implicit none
integer(pInt), intent(in) :: fileUnit
integer(pInt), parameter :: MAXNCHUNKS = 7_pInt
integer(pInt), dimension(1+2*MAXNCHUNKS) :: positions
integer(pInt) :: maxNinstance,mySize=0_pInt,phase,instance,o
integer(pInt) :: sizeState, sizeDotState
integer(pInt) :: NofMyPhase
integer(pInt) :: Nchunks_CleavageFamilies, j
character(len=65536) :: &
tag = '', &
line = ''
mainProcess: if (worldrank == 0) then
write(6,'(/,a)') ' <<<+- damage_'//LOCAL_damage_anisoBrittle_LABEL//' init -+>>>'
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write(6,'(a)') ' $Id$'
write(6,'(a15,a)') ' Current time: ',IO_timeStamp()
#include "compilation_info.f90"
endif mainProcess
maxNinstance = int(count(phase_damage == LOCAL_damage_anisoBrittle_ID),pInt)
if (maxNinstance == 0_pInt) return
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) &
write(6,'(a16,1x,i5,/)') '# instances:',maxNinstance
allocate(damage_anisoBrittle_sizePostResults(maxNinstance), source=0_pInt)
allocate(damage_anisoBrittle_sizePostResult(maxval(phase_Noutput),maxNinstance),source=0_pInt)
allocate(damage_anisoBrittle_output(maxval(phase_Noutput),maxNinstance))
damage_anisoBrittle_output = ''
allocate(damage_anisoBrittle_outputID(maxval(phase_Noutput),maxNinstance), source=undefined_ID)
allocate(damage_anisoBrittle_Noutput(maxNinstance), source=0_pInt)
allocate(damage_anisoBrittle_critDisp(lattice_maxNcleavageFamily,maxNinstance), source=0.0_pReal)
allocate(damage_anisoBrittle_critLoad(lattice_maxNcleavageFamily,maxNinstance), source=0.0_pReal)
allocate(damage_anisoBrittle_Ncleavage(lattice_maxNcleavageFamily,maxNinstance),source=0_pInt)
allocate(damage_anisoBrittle_totalNcleavage(maxNinstance), source=0_pInt)
allocate(damage_anisoBrittle_aTol_damage(maxNinstance), source=0.0_pReal)
allocate(damage_anisoBrittle_aTol_disp(maxNinstance), source=0.0_pReal)
allocate(damage_anisoBrittle_sdot_0(maxNinstance), source=0.0_pReal)
allocate(damage_anisoBrittle_N(maxNinstance), source=0.0_pReal)
rewind(fileUnit)
phase = 0_pInt
do while (trim(line) /= IO_EOF .and. IO_lc(IO_getTag(line,'<','>')) /= MATERIAL_partPhase) ! wind forward to <phase>
line = IO_read(fileUnit)
enddo
parsingFile: do while (trim(line) /= IO_EOF) ! read through sections of phase part
line = IO_read(fileUnit)
if (IO_isBlank(line)) cycle ! skip empty lines
if (IO_getTag(line,'<','>') /= '') then ! stop at next part
line = IO_read(fileUnit, .true.) ! reset IO_read
exit
endif
if (IO_getTag(line,'[',']') /= '') then ! next phase section
phase = phase + 1_pInt ! advance phase section counter
cycle ! skip to next line
endif
if (phase > 0_pInt ) then; if (phase_damage(phase) == LOCAL_damage_anisoBrittle_ID) then ! do not short-circuit here (.and. with next if statemen). It's not safe in Fortran
instance = phase_damageInstance(phase) ! which instance of my damage is present phase
positions = IO_stringPos(line,MAXNCHUNKS)
tag = IO_lc(IO_stringValue(line,positions,1_pInt)) ! extract key
select case(tag)
case ('(output)')
select case(IO_lc(IO_stringValue(line,positions,2_pInt)))
case ('local_damage')
damage_anisoBrittle_Noutput(instance) = damage_anisoBrittle_Noutput(instance) + 1_pInt
damage_anisoBrittle_outputID(damage_anisoBrittle_Noutput(instance),instance) = local_damage_ID
damage_anisoBrittle_output(damage_anisoBrittle_Noutput(instance),instance) = &
IO_lc(IO_stringValue(line,positions,2_pInt))
end select
case ('atol_damage')
damage_anisoBrittle_aTol_damage(instance) = IO_floatValue(line,positions,2_pInt)
case ('atol_disp')
damage_anisoBrittle_aTol_disp(instance) = IO_floatValue(line,positions,2_pInt)
case ('sdot0')
damage_anisoBrittle_sdot_0(instance) = IO_floatValue(line,positions,2_pInt)
case ('damageratesensitivity')
damage_anisoBrittle_N(instance) = IO_floatValue(line,positions,2_pInt)
case ('ncleavage') !
Nchunks_CleavageFamilies = positions(1) - 1_pInt
do j = 1_pInt, Nchunks_CleavageFamilies
damage_anisoBrittle_Ncleavage(j,instance) = IO_intValue(line,positions,1_pInt+j)
enddo
case ('criticaldisplacement')
do j = 1_pInt, Nchunks_CleavageFamilies
damage_anisoBrittle_critDisp(j,instance) = IO_floatValue(line,positions,1_pInt+j)
enddo
case ('criticalload')
do j = 1_pInt, Nchunks_CleavageFamilies
damage_anisoBrittle_critLoad(j,instance) = IO_floatValue(line,positions,1_pInt+j)
enddo
end select
endif; endif
enddo parsingFile
sanityChecks: do phase = 1_pInt, size(phase_damage)
myPhase: if (phase_damage(phase) == LOCAL_damage_anisoBrittle_ID) then
NofMyPhase=count(material_phase==phase)
instance = phase_damageInstance(phase)
! sanity checks
damage_anisoBrittle_Ncleavage(1:lattice_maxNcleavageFamily,instance) = &
min(lattice_NcleavageSystem(1:lattice_maxNcleavageFamily,phase),& ! limit active cleavage systems per family to min of available and requested
damage_anisoBrittle_Ncleavage(1:lattice_maxNcleavageFamily,instance))
damage_anisoBrittle_totalNcleavage(instance) = sum(damage_anisoBrittle_Ncleavage(:,instance)) ! how many cleavage systems altogether
if (damage_anisoBrittle_aTol_damage(instance) < 0.0_pReal) &
damage_anisoBrittle_aTol_damage(instance) = 1.0e-3_pReal ! default absolute tolerance 1e-3
if (damage_anisoBrittle_aTol_disp(instance) >= 1.0e-3_pReal) &
damage_anisoBrittle_aTol_disp(instance) = 1.0e-3_pReal ! default absolute tolerance 1e-3
if (damage_anisoBrittle_sdot_0(instance) <= 0.0_pReal) &
call IO_error(211_pInt,el=instance,ext_msg='sdot_0 ('//LOCAL_DAMAGE_anisoBrittle_LABEL//')')
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if (any(damage_anisoBrittle_critDisp(:,instance) < 0.0_pReal)) &
call IO_error(211_pInt,el=instance,ext_msg='critical_displacement ('//LOCAL_DAMAGE_anisoBrittle_LABEL//')')
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if (any(damage_anisoBrittle_critLoad(:,instance) < 0.0_pReal)) &
call IO_error(211_pInt,el=instance,ext_msg='critical_load ('//LOCAL_DAMAGE_anisoBrittle_LABEL//')')
if (damage_anisoBrittle_N(instance) <= 0.0_pReal) &
call IO_error(211_pInt,el=instance,ext_msg='rate_sensitivity_damage ('//LOCAL_DAMAGE_anisoBrittle_LABEL//')')
endif myPhase
enddo sanityChecks
initializeInstances: do phase = 1_pInt, size(phase_damage)
if (phase_damage(phase) == LOCAL_damage_anisoBrittle_ID) then
NofMyPhase=count(material_phase==phase)
instance = phase_damageInstance(phase)
!--------------------------------------------------------------------------------------------------
! Determine size of postResults array
outputsLoop: do o = 1_pInt,damage_anisoBrittle_Noutput(instance)
select case(damage_anisoBrittle_outputID(o,instance))
case(local_damage_ID)
mySize = 1_pInt
end select
if (mySize > 0_pInt) then ! any meaningful output found
damage_anisoBrittle_sizePostResult(o,instance) = mySize
damage_anisoBrittle_sizePostResults(instance) = damage_anisoBrittle_sizePostResults(instance) + mySize
endif
enddo outputsLoop
! Determine size of state array
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sizeDotState = 0_pInt
sizeState = sizeDotState + &
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1_pInt + & ! non-local damage
damage_anisoBrittle_totalNcleavage(instance) + & ! opening on each damage system
damage_anisoBrittle_totalNcleavage(instance) + & ! damage on each damage system
9_pInt ! Fd
damageState(phase)%sizeState = sizeState
damageState(phase)%sizeDotState = sizeDotState
damageState(phase)%sizePostResults = damage_anisoBrittle_sizePostResults(instance)
allocate(damageState(phase)%aTolState (sizeState), source=0.0_pReal)
allocate(damageState(phase)%state0 (sizeState,NofMyPhase), source=0.0_pReal)
allocate(damageState(phase)%partionedState0 (sizeState,NofMyPhase), source=0.0_pReal)
allocate(damageState(phase)%subState0 (sizeState,NofMyPhase), source=0.0_pReal)
allocate(damageState(phase)%state (sizeState,NofMyPhase), source=0.0_pReal)
allocate(damageState(phase)%state_backup (sizeState,NofMyPhase), source=0.0_pReal)
allocate(damageState(phase)%dotState (sizeDotState,NofMyPhase), source=0.0_pReal)
allocate(damageState(phase)%deltaState (sizeDotState,NofMyPhase), source=0.0_pReal)
allocate(damageState(phase)%dotState_backup (sizeDotState,NofMyPhase), source=0.0_pReal)
if (any(numerics_integrator == 1_pInt)) then
allocate(damageState(phase)%previousDotState (sizeDotState,NofMyPhase), source=0.0_pReal)
allocate(damageState(phase)%previousDotState2 (sizeDotState,NofMyPhase), source=0.0_pReal)
endif
if (any(numerics_integrator == 4_pInt)) &
allocate(damageState(phase)%RK4dotState (sizeDotState,NofMyPhase), source=0.0_pReal)
if (any(numerics_integrator == 5_pInt)) &
allocate(damageState(phase)%RKCK45dotState (6,sizeDotState,NofMyPhase),source=0.0_pReal)
call damage_anisoBrittle_stateInit(phase,instance)
call damage_anisoBrittle_aTolState(phase,instance)
endif
enddo initializeInstances
end subroutine damage_anisoBrittle_init
!--------------------------------------------------------------------------------------------------
!> @brief sets the relevant state values for a given instance of this damage
!--------------------------------------------------------------------------------------------------
subroutine damage_anisoBrittle_stateInit(phase,instance)
use material, only: &
damageState
use math, only: &
math_I3
implicit none
integer(pInt), intent(in) :: phase, instance !< number specifying the phase of the damage
real(pReal), dimension(damageState(phase)%sizeState) :: tempState
tempState(1) = 1.0_pReal
tempState(2 : &
1 + damage_anisoBrittle_totalNcleavage(instance)) = 0.0_pReal
tempState(2 + damage_anisoBrittle_totalNcleavage(instance): &
1 +2*damage_anisoBrittle_totalNcleavage(instance)) = 1.0_pReal
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tempState(2 +2*damage_anisoBrittle_totalNcleavage(instance): &
10+2*damage_anisoBrittle_totalNcleavage(instance)) = reshape(math_I3, shape=[9])
damageState(phase)%state = spread(tempState,2,size(damageState(phase)%state(1,:)))
damageState(phase)%state0 = damageState(phase)%state
damageState(phase)%partionedState0 = damageState(phase)%state
end subroutine damage_anisoBrittle_stateInit
!--------------------------------------------------------------------------------------------------
!> @brief sets the relevant state values for a given instance of this damage
!--------------------------------------------------------------------------------------------------
subroutine damage_anisoBrittle_aTolState(phase,instance)
use material, only: &
damageState
implicit none
integer(pInt), intent(in) :: &
phase, &
instance ! number specifying the current instance of the damage
real(pReal), dimension(damageState(phase)%sizeState) :: tempTol
tempTol(1) = damage_anisoBrittle_aTol_damage(instance)
tempTol(2 : &
1 + damage_anisoBrittle_totalNcleavage(instance)) = damage_anisoBrittle_aTol_disp (instance)
tempTol(2 + damage_anisoBrittle_totalNcleavage(instance): &
1 +2*damage_anisoBrittle_totalNcleavage(instance)) = damage_anisoBrittle_aTol_damage(instance)
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tempTol(2 +2*damage_anisoBrittle_totalNcleavage(instance): &
10+2*damage_anisoBrittle_totalNcleavage(instance)) = damage_anisoBrittle_aTol_damage(instance)
damageState(phase)%aTolState = tempTol
end subroutine damage_anisoBrittle_aTolState
!--------------------------------------------------------------------------------------------------
!> @brief calculates derived quantities from state
!--------------------------------------------------------------------------------------------------
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subroutine damage_anisoBrittle_microstructure(Tstar_v, subdt, ipc, ip, el)
use material, only: &
mappingConstitutive, &
phase_damageInstance, &
damageState
use lattice, only: &
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lattice_DamageMobility, &
lattice_Scleavage, &
lattice_Scleavage_v, &
lattice_maxNcleavageFamily, &
lattice_NcleavageSystem
implicit none
integer(pInt), intent(in) :: &
ipc, & !< component-ID of integration point
ip, & !< integration point
el !< element
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real(pReal), intent(in), dimension(6) :: &
Tstar_v !< 2nd Piola Kirchhoff stress tensor (Mandel)
real(pReal), intent(in) :: &
subdt
integer(pInt) :: &
phase, &
constituent, &
instance, &
f, i, index_d, index_o, index_myFamily
real(pReal) :: &
localDamage, &
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resForce, &
deltaState, &
available, &
predicted
real(pReal) :: &
traction_d, traction_t, traction_n, traction_crit
phase = mappingConstitutive(2,ipc,ip,el)
constituent = mappingConstitutive(1,ipc,ip,el)
instance = phase_damageInstance(phase)
localDamage = minval(damageState(phase)%state(2+ damage_anisoBrittle_totalNcleavage(instance): &
1+2*damage_anisoBrittle_totalNcleavage(instance),constituent))
index_o = 2_pInt
index_d = 2_pInt + damage_anisoBrittle_totalNcleavage(instance)
do f = 1_pInt,lattice_maxNcleavageFamily
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index_myFamily = sum(lattice_NcleavageSystem(1:f-1_pInt,phase)) ! at which index starts my family
do i = 1_pInt,damage_anisoBrittle_Ncleavage(f,instance) ! process each (active) cleavage system in family
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traction_d = dot_product(Tstar_v,lattice_Scleavage_v(1:6,1,index_myFamily+i,phase))
traction_t = dot_product(Tstar_v,lattice_Scleavage_v(1:6,2,index_myFamily+i,phase))
traction_n = dot_product(Tstar_v,lattice_Scleavage_v(1:6,3,index_myFamily+i,phase))
traction_crit = damage_anisoBrittle_critLoad(f,instance)
deltaState = subdt*damage_anisoBrittle_sdot_0(instance)* &
( (abs(traction_d)/traction_crit)**damage_anisoBrittle_N(instance) + &
(abs(traction_t)/traction_crit)**damage_anisoBrittle_N(instance) + &
(max(0.0_pReal,traction_n)/traction_crit)**damage_anisoBrittle_N(instance))
if (damageState(phase)%state(index_o,constituent) <= 1.0_pReal) then
damageState(phase)%state(index_o,constituent) = &
damageState(phase)%state(index_o,constituent) + &
deltaState
else
if (damageState(phase)%state(index_d,constituent) == localDamage) then
resForce = damage_anisoBrittle_getDamage(ipc, ip, el) - localDamage
else
resForce = 0.0_pReal
endif
available = (damageState(phase)%subState0(index_o,constituent) - resForce)** &
(1.0_pReal - damage_anisoBrittle_N(instance))
predicted = -(1.0_pReal - damage_anisoBrittle_N(instance))*deltaState
if (available > predicted) then
damageState(phase)%state(index_o,constituent) = resForce + &
(available - predicted)**(1.0_pReal/(1.0_pReal - damage_anisoBrittle_N(instance)))
else
damageState(phase)%state(index_o,constituent) = huge(1.0_pReal)
endif
damageState(phase)%state(index_d,constituent) = &
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min(damageState(phase)%state0(index_d,constituent) , &
1.0_pReal/(max(0.0_pReal,damageState(phase)%state(index_o,constituent) - resForce)))
endif
index_d = index_d + 1_pInt; index_o = index_o + 1_pInt
enddo
enddo
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localDamage = minval(damageState(phase)%state(2+ damage_anisoBrittle_totalNcleavage(instance): &
1+2*damage_anisoBrittle_totalNcleavage(instance),constituent))
damageState(phase)%state(1,constituent) = &
localDamage + &
(damageState(phase)%subState0(1,constituent) - localDamage)* &
exp(-subdt/lattice_DamageMobility(phase))
end subroutine damage_anisoBrittle_microstructure
!--------------------------------------------------------------------------------------------------
!> @brief contains the constitutive equation for calculating the velocity gradient
!--------------------------------------------------------------------------------------------------
subroutine damage_anisoBrittle_LdAndItsTangent(Ld, dLd_dTstar, Tstar_v, ipc, ip, el)
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use numerics, only: &
residualStiffness
use material, only: &
mappingConstitutive, &
phase_damageInstance, &
damageState
use math, only: &
math_Plain3333to99
use lattice, only: &
lattice_Scleavage, &
lattice_Scleavage_v, &
lattice_maxNcleavageFamily, &
lattice_NcleavageSystem
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
real(pReal), intent(in), dimension(6) :: &
Tstar_v !< 2nd Piola-Kirchhoff stress
real(pReal), intent(out), dimension(3,3) :: &
Ld !< damage velocity gradient
real(pReal), intent(out), dimension(9,9) :: &
dLd_dTstar !< derivative of Ld with respect to Tstar (2nd-order tensor)
real(pReal), dimension(3,3,3,3) :: &
dLd_dTstar3333 !< derivative of Ld with respect to Tstar (4th-order tensor)
integer(pInt) :: &
phase, &
constituent, &
instance, &
f, i, index, index_myFamily, k, l, m, n
real(pReal) :: &
traction_d, traction_t, traction_n, traction_crit, &
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udotd, dudotd_dt, udott, dudott_dt, udotn, dudotn_dt
phase = mappingConstitutive(2,ipc,ip,el)
constituent = mappingConstitutive(1,ipc,ip,el)
instance = phase_damageInstance(phase)
Ld = 0.0_pReal
dLd_dTstar3333 = 0.0_pReal
index = 2_pInt + damage_anisoBrittle_totalNcleavage(instance)
do f = 1_pInt,lattice_maxNcleavageFamily
index_myFamily = sum(lattice_NcleavageSystem(1:f-1_pInt,phase)) ! at which index starts my family
do i = 1_pInt,damage_anisoBrittle_Ncleavage(f,instance) ! process each (active) cleavage system in family
traction_d = dot_product(Tstar_v,lattice_Scleavage_v(1:6,1,index_myFamily+i,phase))
traction_t = dot_product(Tstar_v,lattice_Scleavage_v(1:6,2,index_myFamily+i,phase))
traction_n = dot_product(Tstar_v,lattice_Scleavage_v(1:6,3,index_myFamily+i,phase))
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traction_crit = damage_anisoBrittle_critLoad(f,instance)* &
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(damageState(phase)%state0(index,constituent) + residualStiffness)
udotd = &
sign(1.0_pReal,traction_d)* &
damage_anisoBrittle_sdot_0(instance)* &
(abs(traction_d)/traction_crit)**damage_anisoBrittle_N(instance)
if (udotd /= 0.0_pReal) then
Ld = Ld + udotd*lattice_Scleavage(1:3,1:3,1,index_myFamily+i,phase)
dudotd_dt = udotd*damage_anisoBrittle_N(instance)/traction_d
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
dLd_dTstar3333(k,l,m,n) = dLd_dTstar3333(k,l,m,n) + &
dudotd_dt*lattice_Scleavage(k,l,1,index_myFamily+i,phase)* &
lattice_Scleavage(m,n,1,index_myFamily+i,phase)
endif
udott = &
sign(1.0_pReal,traction_t)* &
damage_anisoBrittle_sdot_0(instance)* &
(abs(traction_t)/traction_crit)**damage_anisoBrittle_N(instance)
if (udott /= 0.0_pReal) then
Ld = Ld + udott*lattice_Scleavage(1:3,1:3,2,index_myFamily+i,phase)
dudott_dt = udott*damage_anisoBrittle_N(instance)/traction_t
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
dLd_dTstar3333(k,l,m,n) = dLd_dTstar3333(k,l,m,n) + &
dudott_dt*lattice_Scleavage(k,l,2,index_myFamily+i,phase)* &
lattice_Scleavage(m,n,2,index_myFamily+i,phase)
endif
udotn = &
damage_anisoBrittle_sdot_0(instance)* &
(max(0.0_pReal,traction_n)/traction_crit)**damage_anisoBrittle_N(instance)
if (udotn /= 0.0_pReal) then
Ld = Ld + udotn*lattice_Scleavage(1:3,1:3,3,index_myFamily+i,phase)
dudotn_dt = udotn*damage_anisoBrittle_N(instance)/traction_n
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
dLd_dTstar3333(k,l,m,n) = dLd_dTstar3333(k,l,m,n) + &
dudotn_dt*lattice_Scleavage(k,l,3,index_myFamily+i,phase)* &
lattice_Scleavage(m,n,3,index_myFamily+i,phase)
endif
index = index + 1_pInt
enddo
enddo
dLd_dTstar = math_Plain3333to99(dLd_dTstar3333)
end subroutine damage_anisoBrittle_LdAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief returns local damage deformation gradient
!--------------------------------------------------------------------------------------------------
pure function damage_anisoBrittle_getFd(ipc, ip, el)
use material, only: &
mappingConstitutive, &
phase_damageInstance, &
damageState
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
integer(pInt) :: &
phase, &
constituent, &
instance
real(pReal), dimension(3,3) :: &
damage_anisoBrittle_getFd
phase = mappingConstitutive(2,ipc,ip,el)
constituent = mappingConstitutive(1,ipc,ip,el)
instance = phase_damageInstance(phase)
damage_anisoBrittle_getFd = &
reshape(damageState(phase)% &
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state(2*damage_anisoBrittle_totalNcleavage(instance)+2: &
2*damage_anisoBrittle_totalNcleavage(instance)+10,constituent), &
shape=[3,3])
end function damage_anisoBrittle_getFd
!--------------------------------------------------------------------------------------------------
!> @brief calculates derived quantities from state
!--------------------------------------------------------------------------------------------------
subroutine damage_anisoBrittle_putFd(Tstar_v, dt, ipc, ip, el)
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use numerics, only: &
residualStiffness
use material, only: &
mappingConstitutive, &
phase_damageInstance, &
damageState
use math, only: &
math_mul33x33, &
math_inv33, &
math_I3
use lattice, only: &
lattice_Scleavage, &
lattice_Scleavage_v, &
lattice_maxNcleavageFamily, &
lattice_NcleavageSystem
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
real(pReal), intent(in), dimension(6) :: &
Tstar_v !< 2nd Piola-Kirchhoff stress
real(pReal), intent(in) :: &
dt
real(pReal), dimension(3,3) :: &
Ld !< damage velocity gradient
integer(pInt) :: &
phase, &
constituent, &
instance, &
f, i, index, index_myFamily
real(pReal) :: &
traction_d, traction_t, traction_n, traction_crit, &
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udotd, udott, udotn
phase = mappingConstitutive(2,ipc,ip,el)
constituent = mappingConstitutive(1,ipc,ip,el)
instance = phase_damageInstance(phase)
Ld = 0.0_pReal
index = 2_pInt + damage_anisoBrittle_totalNcleavage(instance)
do f = 1_pInt,lattice_maxNcleavageFamily
index_myFamily = sum(lattice_NcleavageSystem(1:f-1_pInt,phase)) ! at which index starts my family
do i = 1_pInt,damage_anisoBrittle_Ncleavage(f,instance) ! process each (active) cleavage system in family
traction_d = dot_product(Tstar_v,lattice_Scleavage_v(1:6,1,index_myFamily+i,phase))
traction_t = dot_product(Tstar_v,lattice_Scleavage_v(1:6,2,index_myFamily+i,phase))
traction_n = dot_product(Tstar_v,lattice_Scleavage_v(1:6,3,index_myFamily+i,phase))
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traction_crit = damage_anisoBrittle_critLoad(f,instance)* &
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(damageState(phase)%state0(index,constituent) + residualStiffness)
udotd = &
sign(1.0_pReal,traction_d)* &
damage_anisoBrittle_sdot_0(instance)* &
(abs(traction_d)/traction_crit)**damage_anisoBrittle_N(instance)
Ld = Ld + udotd*lattice_Scleavage(1:3,1:3,1,index_myFamily+i,phase)
udott = &
sign(1.0_pReal,traction_t)* &
damage_anisoBrittle_sdot_0(instance)* &
(abs(traction_t)/traction_crit)**damage_anisoBrittle_N(instance)
Ld = Ld + udott*lattice_Scleavage(1:3,1:3,2,index_myFamily+i,phase)
udotn = &
damage_anisoBrittle_sdot_0(instance)* &
(max(0.0_pReal,traction_n)/traction_crit)**damage_anisoBrittle_N(instance)
Ld = Ld + udotn*lattice_Scleavage(1:3,1:3,3,index_myFamily+i,phase)
index = index + 1_pInt
enddo
enddo
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damageState(phase)%state(2*damage_anisoBrittle_totalNcleavage(instance)+2: &
2*damage_anisoBrittle_totalNcleavage(instance)+10,constituent) = &
reshape(math_mul33x33(math_inv33(math_I3 - dt*Ld), &
damage_anisoBrittle_getFd0(ipc, ip, el)), shape=[9])
end subroutine damage_anisoBrittle_putFd
!--------------------------------------------------------------------------------------------------
!> @brief returns local damage deformation gradient
!--------------------------------------------------------------------------------------------------
pure function damage_anisoBrittle_getFd0(ipc, ip, el)
use material, only: &
mappingConstitutive, &
phase_damageInstance, &
damageState
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
integer(pInt) :: &
phase, &
constituent, &
instance
real(pReal), dimension(3,3) :: &
damage_anisoBrittle_getFd0
phase = mappingConstitutive(2,ipc,ip,el)
constituent = mappingConstitutive(1,ipc,ip,el)
instance = phase_damageInstance(phase)
damage_anisoBrittle_getFd0 = &
reshape(damageState(phase)% &
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subState0(2*damage_anisoBrittle_totalNcleavage(instance)+2: &
2*damage_anisoBrittle_totalNcleavage(instance)+10,constituent), &
shape=[3,3])
end function damage_anisoBrittle_getFd0
!--------------------------------------------------------------------------------------------------
!> @brief returns local damage deformation gradient
!--------------------------------------------------------------------------------------------------
pure function damage_anisoBrittle_getPartionedFd0(ipc, ip, el)
use material, only: &
mappingConstitutive, &
phase_damageInstance, &
damageState
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
integer(pInt) :: &
phase, &
constituent, &
instance
real(pReal), dimension(3,3) :: &
damage_anisoBrittle_getPartionedFd0
phase = mappingConstitutive(2,ipc,ip,el)
constituent = mappingConstitutive(1,ipc,ip,el)
instance = phase_damageInstance(phase)
damage_anisoBrittle_getPartionedFd0 = &
reshape(damageState(phase)% &
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partionedState0(2*damage_anisoBrittle_totalNcleavage(instance)+2: &
2*damage_anisoBrittle_totalNcleavage(instance)+10,constituent), &
shape=[3,3])
end function damage_anisoBrittle_getPartionedFd0
!--------------------------------------------------------------------------------------------------
!> @brief returns damage
!--------------------------------------------------------------------------------------------------
function damage_anisoBrittle_getDamage(ipc, ip, el)
use material, only: &
material_homog, &
mappingHomogenization, &
mappingConstitutive, &
damageState, &
fieldDamage, &
field_damage_type, &
FIELD_DAMAGE_LOCAL_ID, &
FIELD_DAMAGE_NONLOCAL_ID
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
real(pReal) :: damage_anisoBrittle_getDamage
select case(field_damage_type(material_homog(ip,el)))
case (FIELD_DAMAGE_LOCAL_ID)
damage_anisoBrittle_getDamage = damageState(mappingConstitutive(2,ipc,ip,el))% &
state0(1,mappingConstitutive(1,ipc,ip,el))
case (FIELD_DAMAGE_NONLOCAL_ID)
damage_anisoBrittle_getDamage = fieldDamage(material_homog(ip,el))% &
field(1,mappingHomogenization(1,ip,el)) ! Taylor type
end select
end function damage_anisoBrittle_getDamage
!--------------------------------------------------------------------------------------------------
!> @brief returns damage value based on local damage
!--------------------------------------------------------------------------------------------------
subroutine damage_anisoBrittle_putLocalDamage(ipc, ip, el, localDamage)
use material, only: &
mappingConstitutive, &
damageState
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
real(pReal), intent(in) :: &
localDamage
damageState(mappingConstitutive(2,ipc,ip,el))%state(1,mappingConstitutive(1,ipc,ip,el)) = &
localDamage
end subroutine damage_anisoBrittle_putLocalDamage
!--------------------------------------------------------------------------------------------------
!> @brief returns local damage
!--------------------------------------------------------------------------------------------------
function damage_anisoBrittle_getLocalDamage(ipc, ip, el)
use material, only: &
mappingConstitutive, &
damageState
implicit none
integer(pInt), intent(in) :: &
ipc, & !< grain number
ip, & !< integration point number
el !< element number
real(pReal) :: &
damage_anisoBrittle_getLocalDamage
damage_anisoBrittle_getLocalDamage = &
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damageState(mappingConstitutive(2,ipc,ip,el))%state(1,mappingConstitutive(1,ipc,ip,el))
end function damage_anisoBrittle_getLocalDamage
!--------------------------------------------------------------------------------------------------
!> @brief return array of constitutive results
!--------------------------------------------------------------------------------------------------
function damage_anisoBrittle_postResults(ipc,ip,el)
use material, only: &
mappingConstitutive, &
phase_damageInstance
implicit none
integer(pInt), intent(in) :: &
ipc, & !< component-ID of integration point
ip, & !< integration point
el !< element
real(pReal), dimension(damage_anisoBrittle_sizePostResults(phase_damageInstance(mappingConstitutive(2,ipc,ip,el)))) :: &
damage_anisoBrittle_postResults
integer(pInt) :: &
instance, phase, constituent, o, c
phase = mappingConstitutive(2,ipc,ip,el)
constituent = mappingConstitutive(1,ipc,ip,el)
instance = phase_damageInstance(phase)
c = 0_pInt
damage_anisoBrittle_postResults = 0.0_pReal
do o = 1_pInt,damage_anisoBrittle_Noutput(instance)
select case(damage_anisoBrittle_outputID(o,instance))
case (local_damage_ID)
damage_anisoBrittle_postResults(c+1_pInt) = &
damage_anisoBrittle_getLocalDamage(ipc, ip, el)
c = c + 1_pInt
end select
enddo
end function damage_anisoBrittle_postResults
end module damage_anisoBrittle