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Inroduced Fd in kinematic decomposition.

This commit is contained in:
Luv Sharma 2015-01-19 13:39:47 +00:00
parent 57da59c5b2
commit 19dc945065
2 changed files with 414 additions and 12 deletions
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33
code/constitutive.f90
View File

@ -795,9 +795,12 @@ subroutine constitutive_LiAndItsTangent(Li, dLi_dTstar, Tstar_v, Lp, ipc, ip, el
phase_thermal, & phase_thermal, &
material_phase, & material_phase, &
LOCAL_DAMAGE_anisoBrittle_ID, & LOCAL_DAMAGE_anisoBrittle_ID, &
LOCAL_DAMAGE_anisoDuctile_ID, &
LOCAL_THERMAL_adiabatic_ID LOCAL_THERMAL_adiabatic_ID
use damage_anisoBrittle, only: & use damage_anisoBrittle, only: &
damage_anisoBrittle_LdAndItsTangent damage_anisoBrittle_LdAndItsTangent
use damage_anisoDuctile, only: &
damage_anisoDuctile_LdAndItsTangent
use thermal_adiabatic, only: & use thermal_adiabatic, only: &
thermal_adiabatic_LTAndItsTangent thermal_adiabatic_LTAndItsTangent
@ -828,6 +831,11 @@ subroutine constitutive_LiAndItsTangent(Li, dLi_dTstar, Tstar_v, Lp, ipc, ip, el
Li = Li + Li_temp Li = Li + Li_temp
dLi_dTstar = dLi_dTstar + dLi_dTstar_temp dLi_dTstar = dLi_dTstar + dLi_dTstar_temp
case (LOCAL_DAMAGE_anisoDuctile_ID)
call damage_anisoDuctile_LdAndItsTangent(Li_temp, dLi_dTstar_temp, Tstar_v, ipc, ip, el)
Li = Li + Li_temp
dLi_dTstar = dLi_dTstar + dLi_dTstar_temp
end select end select
select case (phase_thermal(material_phase(ipc,ip,el))) select case (phase_thermal(material_phase(ipc,ip,el)))
@ -855,9 +863,12 @@ pure function constitutive_getFi(ipc, ip, el)
phase_thermal, & phase_thermal, &
material_phase, & material_phase, &
LOCAL_DAMAGE_anisoBrittle_ID, & LOCAL_DAMAGE_anisoBrittle_ID, &
LOCAL_DAMAGE_anisoDuctile_ID, &
LOCAL_THERMAL_adiabatic_ID LOCAL_THERMAL_adiabatic_ID
use damage_anisoBrittle, only: & use damage_anisoBrittle, only: &
damage_anisoBrittle_getFd damage_anisoBrittle_getFd
use damage_anisoDuctile, only: &
damage_anisoDuctile_getFd
use thermal_adiabatic, only: & use thermal_adiabatic, only: &
thermal_adiabatic_getFT thermal_adiabatic_getFT
@ -875,6 +886,9 @@ pure function constitutive_getFi(ipc, ip, el)
case (LOCAL_DAMAGE_anisoBrittle_ID) case (LOCAL_DAMAGE_anisoBrittle_ID)
constitutive_getFi = math_mul33x33(constitutive_getFi,damage_anisoBrittle_getFd (ipc, ip, el)) constitutive_getFi = math_mul33x33(constitutive_getFi,damage_anisoBrittle_getFd (ipc, ip, el))
case (LOCAL_DAMAGE_anisoDuctile_ID)
constitutive_getFi = math_mul33x33(constitutive_getFi,damage_anisoDuctile_getFd (ipc, ip, el))
end select end select
select case (phase_thermal(material_phase(ipc,ip,el))) select case (phase_thermal(material_phase(ipc,ip,el)))
@ -896,9 +910,12 @@ subroutine constitutive_putFi(Tstar_v, Lp, dt, ipc, ip, el)
phase_thermal, & phase_thermal, &
material_phase, & material_phase, &
LOCAL_DAMAGE_anisoBrittle_ID, & LOCAL_DAMAGE_anisoBrittle_ID, &
LOCAL_DAMAGE_anisoDuctile_ID, &
LOCAL_THERMAL_adiabatic_ID LOCAL_THERMAL_adiabatic_ID
use damage_anisoBrittle, only: & use damage_anisoBrittle, only: &
damage_anisoBrittle_putFd damage_anisoBrittle_putFd
use damage_anisoDuctile, only: &
damage_anisoDuctile_putFd
use thermal_adiabatic, only: & use thermal_adiabatic, only: &
thermal_adiabatic_putFT thermal_adiabatic_putFT
@ -918,6 +935,9 @@ subroutine constitutive_putFi(Tstar_v, Lp, dt, ipc, ip, el)
case (LOCAL_DAMAGE_anisoBrittle_ID) case (LOCAL_DAMAGE_anisoBrittle_ID)
call damage_anisoBrittle_putFd (Tstar_v, dt, ipc, ip, el) call damage_anisoBrittle_putFd (Tstar_v, dt, ipc, ip, el)
case (LOCAL_DAMAGE_anisoDuctile_ID)
call damage_anisoDuctile_putFd (Tstar_v, dt, ipc, ip, el)
end select end select
select case (phase_thermal(material_phase(ipc,ip,el))) select case (phase_thermal(material_phase(ipc,ip,el)))
@ -943,9 +963,12 @@ pure function constitutive_getFi0(ipc, ip, el)
phase_thermal, & phase_thermal, &
material_phase, & material_phase, &
LOCAL_DAMAGE_anisoBrittle_ID, & LOCAL_DAMAGE_anisoBrittle_ID, &
LOCAL_DAMAGE_anisoDuctile_ID, &
LOCAL_THERMAL_adiabatic_ID LOCAL_THERMAL_adiabatic_ID
use damage_anisoBrittle, only: & use damage_anisoBrittle, only: &
damage_anisoBrittle_getFd0 damage_anisoBrittle_getFd0
use damage_anisoDuctile, only: &
damage_anisoDuctile_getFd0
use thermal_adiabatic, only: & use thermal_adiabatic, only: &
thermal_adiabatic_getFT0 thermal_adiabatic_getFT0
@ -963,6 +986,9 @@ pure function constitutive_getFi0(ipc, ip, el)
case (LOCAL_DAMAGE_anisoBrittle_ID) case (LOCAL_DAMAGE_anisoBrittle_ID)
constitutive_getFi0 = math_mul33x33(constitutive_getFi0,damage_anisoBrittle_getFd0 (ipc, ip, el)) constitutive_getFi0 = math_mul33x33(constitutive_getFi0,damage_anisoBrittle_getFd0 (ipc, ip, el))
case (LOCAL_DAMAGE_anisoDuctile_ID)
constitutive_getFi0 = math_mul33x33(constitutive_getFi0,damage_anisoDuctile_getFd0 (ipc, ip, el))
end select end select
select case (phase_thermal(material_phase(ipc,ip,el))) select case (phase_thermal(material_phase(ipc,ip,el)))
@ -988,9 +1014,12 @@ pure function constitutive_getPartionedFi0(ipc, ip, el)
phase_thermal, & phase_thermal, &
material_phase, & material_phase, &
LOCAL_DAMAGE_anisoBrittle_ID, & LOCAL_DAMAGE_anisoBrittle_ID, &
LOCAL_DAMAGE_anisoDuctile_ID, &
LOCAL_THERMAL_adiabatic_ID LOCAL_THERMAL_adiabatic_ID
use damage_anisoBrittle, only: & use damage_anisoBrittle, only: &
damage_anisoBrittle_getPartionedFd0 damage_anisoBrittle_getPartionedFd0
use damage_anisoDuctile, only: &
damage_anisoDuctile_getPartionedFd0
use thermal_adiabatic, only: & use thermal_adiabatic, only: &
thermal_adiabatic_getPartionedFT0 thermal_adiabatic_getPartionedFT0
@ -1009,6 +1038,10 @@ pure function constitutive_getPartionedFi0(ipc, ip, el)
constitutive_getPartionedFi0 = math_mul33x33(constitutive_getPartionedFi0, & constitutive_getPartionedFi0 = math_mul33x33(constitutive_getPartionedFi0, &
damage_anisoBrittle_getPartionedFd0(ipc, ip, el)) damage_anisoBrittle_getPartionedFd0(ipc, ip, el))
case (LOCAL_DAMAGE_anisoDuctile_ID)
constitutive_getPartionedFi0 = math_mul33x33(constitutive_getPartionedFi0, &
damage_anisoDuctile_getPartionedFd0(ipc, ip, el))
end select end select
select case (phase_thermal(material_phase(ipc,ip,el))) select case (phase_thermal(material_phase(ipc,ip,el)))

391
code/damage_anisoDuctile.f90
View File

@ -37,10 +37,17 @@ module damage_anisoDuctile
real(pReal), dimension(:,:), allocatable, private :: & real(pReal), dimension(:,:), allocatable, private :: &
damage_anisoDuctile_critPlasticStrain damage_anisoDuctile_critPlasticStrain
real(pReal), dimension(:), allocatable, private :: &
damage_anisoDuctile_sdot_0, &
damage_anisoDuctile_N
real(pReal), dimension(:,:), allocatable, private :: &
damage_anisoDuctile_critLoad
enum, bind(c) enum, bind(c)
enumerator :: undefined_ID, & enumerator :: undefined_ID, &
local_damage_ID local_damage_ID
end enum !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11 ToDo end enum
integer(kind(undefined_ID)), dimension(:,:), allocatable, private :: & integer(kind(undefined_ID)), dimension(:,:), allocatable, private :: &
damage_anisoDuctile_outputID !< ID of each post result output damage_anisoDuctile_outputID !< ID of each post result output
@ -51,6 +58,11 @@ module damage_anisoDuctile
damage_anisoDuctile_stateInit, & damage_anisoDuctile_stateInit, &
damage_anisoDuctile_aTolState, & damage_anisoDuctile_aTolState, &
damage_anisoDuctile_microstructure, & damage_anisoDuctile_microstructure, &
damage_anisoDuctile_LdAndItsTangent, &
damage_anisoDuctile_getFd, &
damage_anisoDuctile_putFd, &
damage_anisoDuctile_getFd0, &
damage_anisoDuctile_getPartionedFd0, &
damage_anisoDuctile_getDamage, & damage_anisoDuctile_getDamage, &
damage_anisoDuctile_putLocalDamage, & damage_anisoDuctile_putLocalDamage, &
damage_anisoDuctile_getLocalDamage, & damage_anisoDuctile_getLocalDamage, &
@ -131,9 +143,12 @@ subroutine damage_anisoDuctile_init(fileUnit)
damage_anisoDuctile_output = '' damage_anisoDuctile_output = ''
allocate(damage_anisoDuctile_outputID(maxval(phase_Noutput),maxNinstance), source=undefined_ID) allocate(damage_anisoDuctile_outputID(maxval(phase_Noutput),maxNinstance), source=undefined_ID)
allocate(damage_anisoDuctile_Noutput(maxNinstance), source=0_pInt) allocate(damage_anisoDuctile_Noutput(maxNinstance), source=0_pInt)
allocate(damage_anisoDuctile_critLoad(lattice_maxNslipFamily,maxNinstance), source=0.0_pReal)
allocate(damage_anisoDuctile_critPlasticStrain(lattice_maxNslipFamily,maxNinstance),source=0.0_pReal) allocate(damage_anisoDuctile_critPlasticStrain(lattice_maxNslipFamily,maxNinstance),source=0.0_pReal)
allocate(damage_anisoDuctile_Nslip(lattice_maxNslipFamily,maxNinstance), source=0_pInt) allocate(damage_anisoDuctile_Nslip(lattice_maxNslipFamily,maxNinstance), source=0_pInt)
allocate(damage_anisoDuctile_totalNslip(maxNinstance), source=0_pInt) allocate(damage_anisoDuctile_totalNslip(maxNinstance), source=0_pInt)
allocate(damage_anisoDuctile_N(maxNinstance), source=0.0_pReal)
allocate(damage_anisoDuctile_sdot_0(maxNinstance), source=0.0_pReal)
allocate(damage_anisoDuctile_aTol_damage(maxNinstance), source=0.0_pReal) allocate(damage_anisoDuctile_aTol_damage(maxNinstance), source=0.0_pReal)
rewind(fileUnit) rewind(fileUnit)
@ -176,11 +191,22 @@ subroutine damage_anisoDuctile_init(fileUnit)
damage_anisoDuctile_Nslip(j,instance) = IO_intValue(line,positions,1_pInt+j) damage_anisoDuctile_Nslip(j,instance) = IO_intValue(line,positions,1_pInt+j)
enddo enddo
case ('sdot0')
damage_anisoDuctile_sdot_0(instance) = IO_floatValue(line,positions,2_pInt)
case ('criticalplasticstrain') case ('criticalplasticstrain')
do j = 1_pInt, Nchunks_SlipFamilies do j = 1_pInt, Nchunks_SlipFamilies
damage_anisoDuctile_critPlasticStrain(j,instance) = IO_floatValue(line,positions,1_pInt+j) damage_anisoDuctile_critPlasticStrain(j,instance) = IO_floatValue(line,positions,1_pInt+j)
enddo enddo
case ('damageratesensitivity')
damage_anisoDuctile_N(instance) = IO_floatValue(line,positions,2_pInt)
case ('criticalload')
do j = 1_pInt, Nchunks_SlipFamilies
damage_anisoDuctile_critLoad(j,instance) = IO_floatValue(line,positions,1_pInt+j)
enddo
end select end select
endif; endif endif; endif
enddo parsingFile enddo parsingFile
@ -196,8 +222,12 @@ subroutine damage_anisoDuctile_init(fileUnit)
damage_anisoDuctile_totalNslip(instance) = sum(damage_anisoDuctile_Nslip(:,instance)) damage_anisoDuctile_totalNslip(instance) = sum(damage_anisoDuctile_Nslip(:,instance))
if (damage_anisoDuctile_aTol_damage(instance) < 0.0_pReal) & if (damage_anisoDuctile_aTol_damage(instance) < 0.0_pReal) &
damage_anisoDuctile_aTol_damage(instance) = 1.0e-3_pReal ! default absolute tolerance 1e-3 damage_anisoDuctile_aTol_damage(instance) = 1.0e-3_pReal ! default absolute tolerance 1e-3
if (damage_anisoDuctile_sdot_0(instance) <= 0.0_pReal) &
call IO_error(211_pInt,el=instance,ext_msg='sdot_0 ('//LOCAL_DAMAGE_anisoDuctile_LABEL//')')
if (any(damage_anisoDuctile_critPlasticStrain(:,instance) < 0.0_pReal)) & if (any(damage_anisoDuctile_critPlasticStrain(:,instance) < 0.0_pReal)) &
call IO_error(211_pInt,el=instance,ext_msg='criticaPlasticStrain ('//LOCAL_DAMAGE_anisoDuctile_LABEL//')') call IO_error(211_pInt,el=instance,ext_msg='criticaPlasticStrain ('//LOCAL_DAMAGE_anisoDuctile_LABEL//')')
if (damage_anisoDuctile_N(instance) <= 0.0_pReal) &
call IO_error(211_pInt,el=instance,ext_msg='rate_sensitivity_damage ('//LOCAL_DAMAGE_anisoDuctile_LABEL//')')
endif myPhase endif myPhase
enddo sanityChecks enddo sanityChecks
@ -223,9 +253,9 @@ subroutine damage_anisoDuctile_init(fileUnit)
! Determine size of state array ! Determine size of state array
sizeDotState = 0_pInt sizeDotState = 0_pInt
sizeState = sizeDotState + & sizeState = sizeDotState + &
1_pInt + & ! non-local damage 1_pInt + & ! time regularised damage
damage_anisoDuctile_totalNslip(instance) damage_anisoDuctile_totalNslip(instance) + & ! slip system damages
9 ! Fd
damageState(phase)%sizeState = sizeState damageState(phase)%sizeState = sizeState
damageState(phase)%sizeDotState = sizeDotState damageState(phase)%sizeDotState = sizeDotState
damageState(phase)%sizePostResults = damage_anisoDuctile_sizePostResults(instance) damageState(phase)%sizePostResults = damage_anisoDuctile_sizePostResults(instance)
@ -247,8 +277,7 @@ subroutine damage_anisoDuctile_init(fileUnit)
allocate(damageState(phase)%RK4dotState (sizeDotState,NofMyPhase), source=0.0_pReal) allocate(damageState(phase)%RK4dotState (sizeDotState,NofMyPhase), source=0.0_pReal)
if (any(numerics_integrator == 5_pInt)) & if (any(numerics_integrator == 5_pInt)) &
allocate(damageState(phase)%RKCK45dotState (6,sizeDotState,NofMyPhase),source=0.0_pReal) allocate(damageState(phase)%RKCK45dotState (6,sizeDotState,NofMyPhase),source=0.0_pReal)
call damage_anisoDuctile_stateInit(phase,instance)
call damage_anisoDuctile_stateInit(phase)
call damage_anisoDuctile_aTolState(phase,instance) call damage_anisoDuctile_aTolState(phase,instance)
endif endif
@ -258,19 +287,27 @@ end subroutine damage_anisoDuctile_init
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief sets the relevant state values for a given instance of this damage !> @brief sets the relevant state values for a given instance of this damage
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine damage_anisoDuctile_stateInit(phase) subroutine damage_anisoDuctile_stateInit(phase, instance)
use material, only: & use material, only: &
damageState damageState
use math, only: &
math_I3
implicit none implicit none
integer(pInt), intent(in) :: phase !< number specifying the phase of the damage integer(pInt), intent(in) :: phase , instance !< number specifying the phase of the damage
real(pReal), dimension(damageState(phase)%sizeState) :: tempState real(pReal), dimension(damageState(phase)%sizeState) :: tempState
tempState = 1.0_pReal tempState(1) = 1.0_pReal
tempState(2 : &
1 + damage_anisoDuctile_totalNslip(instance)) = 1.0_pReal
tempState(damage_anisoDuctile_totalNslip(instance)+2: &
damage_anisoDuctile_totalNslip(instance)+10) = reshape(math_I3, shape=[9])
damageState(phase)%state = spread(tempState,2,size(damageState(phase)%state(1,:))) damageState(phase)%state = spread(tempState,2,size(damageState(phase)%state(1,:)))
damageState(phase)%state0 = damageState(phase)%state damageState(phase)%state0 = damageState(phase)%state
damageState(phase)%partionedState0 = damageState(phase)%state damageState(phase)%partionedState0 = damageState(phase)%state
end subroutine damage_anisoDuctile_stateInit end subroutine damage_anisoDuctile_stateInit
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
@ -339,7 +376,7 @@ subroutine damage_anisoDuctile_microstructure(subdt, ipc, ip, el)
drivingForce = plasticState(phase)%accumulatedSlip(index,constituent)/damage_anisoDuctile_critPlasticStrain(f,instance) drivingForce = plasticState(phase)%accumulatedSlip(index,constituent)/damage_anisoDuctile_critPlasticStrain(f,instance)
damageState(phase)%state(index+1,constituent) = & damageState(phase)%state(index+1,constituent) = &
min(damageState(phase)%state0(index+1,constituent), & min(damageState(phase)%state0(index+1,constituent), &
1.0_pReal/drivingForce) 1.0_pReal/drivingForce) ! irreversibility
endif endif
index = index + 1_pInt index = index + 1_pInt
enddo enddo
@ -354,6 +391,338 @@ subroutine damage_anisoDuctile_microstructure(subdt, ipc, ip, el)
end subroutine damage_anisoDuctile_microstructure end subroutine damage_anisoDuctile_microstructure
!--------------------------------------------------------------------------------------------------
!> @brief contains the constitutive equation for calculating the velocity gradient
!--------------------------------------------------------------------------------------------------
subroutine damage_anisoDuctile_LdAndItsTangent(Ld, dLd_dTstar, Tstar_v, ipc, ip, el)
use numerics, only: &
residualStiffness
use lattice, only: &
lattice_maxNslipFamily, &
lattice_NslipSystem, &
lattice_sd, &
lattice_st, &
lattice_sn
use material, only: &
mappingConstitutive, &
phase_damageInstance, &
damageState
use math, only: &
math_Plain3333to99, &
math_I3, &
math_identity4th, &
math_symmetric33, &
math_Mandel33to6, &
math_tensorproduct
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)
real(pReal), dimension(3,3) :: &
projection_d, projection_t, projection_n !< projection modes 3x3 tensor
real(pReal), dimension(6) :: &
projection_d_v, projection_t_v, projection_n_v !< projection modes 3x3 vector
integer(pInt) :: &
phase, &
constituent, &
instance, &
f, i, index, index_myFamily, k, l, m, n
real(pReal) :: &
traction_d, traction_t, traction_n, traction_crit, &
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
do f = 1_pInt,lattice_maxNslipFamily
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,phase)) ! at which index starts my family
do i = 1_pInt,damage_anisoDuctile_Nslip(f,instance) ! process each (active) slip system in family
projection_d = math_tensorproduct(lattice_sd(1:3,index_myFamily+i,phase),&
lattice_sn(1:3,index_myFamily+i,phase))
projection_t = math_tensorproduct(lattice_st(1:3,index_myFamily+i,phase),&
lattice_sn(1:3,index_myFamily+i,phase))
projection_n = math_tensorproduct(lattice_sn(1:3,index_myFamily+i,phase),&
lattice_sn(1:3,index_myFamily+i,phase))
projection_d_v(1:6) = math_Mandel33to6(math_symmetric33(projection_d(1:3,1:3)))
projection_t_v(1:6) = math_Mandel33to6(math_symmetric33(projection_t(1:3,1:3)))
projection_n_v(1:6) = math_Mandel33to6(math_symmetric33(projection_n(1:3,1:3)))
traction_d = dot_product(Tstar_v,projection_d_v(1:6))
traction_t = dot_product(Tstar_v,projection_t_v(1:6))
traction_n = dot_product(Tstar_v,projection_n_v(1:6))
traction_crit = damage_anisoDuctile_critLoad(f,instance)* &
(damageState(phase)%state0(index,constituent) + residualStiffness) ! degrading critical load carrying capacity by damage
udotd = &
sign(1.0_pReal,traction_d)* &
damage_anisoDuctile_sdot_0(instance)* &
(abs(traction_d)/traction_crit)**damage_anisoDuctile_N(instance)
if (udotd /= 0.0_pReal) then
Ld = Ld + udotd*projection_d
dudotd_dt = udotd*damage_anisoDuctile_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*projection_d(k,l)* projection_d(m,n)
endif
udott = &
sign(1.0_pReal,traction_t)* &
damage_anisoDuctile_sdot_0(instance)* &
(abs(traction_t)/traction_crit)**damage_anisoDuctile_N(instance)
if (udott /= 0.0_pReal) then
Ld = Ld + udott*projection_t
dudott_dt = udott*damage_anisoDuctile_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*projection_t(k,l)*projection_t(m,n)
endif
udotn = &
damage_anisoDuctile_sdot_0(instance)* &
(max(0.0_pReal,traction_n)/traction_crit)**damage_anisoDuctile_N(instance)
if (udotn /= 0.0_pReal) then
Ld = Ld + udotn*projection_n(1:3,1:3)
dudotn_dt = udotn*damage_anisoDuctile_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*projection_n(k,l)* projection_n(m,n)
endif
index = index + 1_pInt
enddo
enddo
dLd_dTstar = math_Plain3333to99(dLd_dTstar3333)
end subroutine damage_anisoDuctile_LdAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief returns local damage deformation gradient
!--------------------------------------------------------------------------------------------------
pure function damage_anisoDuctile_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_anisoDuctile_getFd
phase = mappingConstitutive(2,ipc,ip,el)
constituent = mappingConstitutive(1,ipc,ip,el)
instance = phase_damageInstance(phase)
damage_anisoDuctile_getFd = &
reshape(damageState(phase)% &
state(damage_anisoDuctile_totalNslip(instance)+2: &
damage_anisoDuctile_totalNslip(instance)+10,constituent), &
shape=[3,3])
end function damage_anisoDuctile_getFd
!--------------------------------------------------------------------------------------------------
!> @brief calculates derived quantities from state
!--------------------------------------------------------------------------------------------------
subroutine damage_anisoDuctile_putFd(Tstar_v, dt, ipc, ip, el)
use numerics, only: &
residualStiffness
use material, only: &
mappingConstitutive, &
phase_damageInstance, &
damageState
use math, only: &
math_mul33x33, &
math_inv33, &
math_Plain3333to99, &
math_I3, &
math_identity4th, &
math_symmetric33, &
math_Mandel33to6, &
math_tensorproduct
use lattice, only: &
lattice_maxNslipFamily, &
lattice_NslipSystem, &
lattice_sd, &
lattice_st, &
lattice_sn
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
real(pReal), dimension(3,3) :: &
projection_d, projection_t, projection_n !< projection modes 3x3 tensor
real(pReal), dimension(6) :: &
projection_d_v, projection_t_v, projection_n_v !< projection modes 3x3 vector
integer(pInt) :: &
phase, &
constituent, &
instance, &
f, i, index, index_myFamily
real(pReal) :: &
traction_d, traction_t, traction_n, traction_crit, &
udotd, udott, udotn
phase = mappingConstitutive(2,ipc,ip,el)
constituent = mappingConstitutive(1,ipc,ip,el)
instance = phase_damageInstance(phase)
index = 2_pInt
Ld = 0.0_pReal
do f = 1_pInt,lattice_maxNslipFamily
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,phase)) ! at which index starts my family
do i = 1_pInt,damage_anisoDuctile_Nslip(f,instance) ! process each (active) slip system in family
projection_d = math_tensorproduct(lattice_sd(1:3,index_myFamily+i,phase),&
lattice_sn(1:3,index_myFamily+i,phase))
projection_t = math_tensorproduct(lattice_st(1:3,index_myFamily+i,phase),&
lattice_sn(1:3,index_myFamily+i,phase))
projection_n = math_tensorproduct(lattice_sn(1:3,index_myFamily+i,phase),&
lattice_sn(1:3,index_myFamily+i,phase))
projection_d_v(1:6) = math_Mandel33to6(math_symmetric33(projection_d(1:3,1:3)))
projection_t_v(1:6) = math_Mandel33to6(math_symmetric33(projection_t(1:3,1:3)))
projection_n_v(1:6) = math_Mandel33to6(math_symmetric33(projection_n(1:3,1:3)))
traction_d = dot_product(Tstar_v,projection_d_v(1:6))
traction_t = dot_product(Tstar_v,projection_t_v(1:6))
traction_n = dot_product(Tstar_v,projection_n_v(1:6))
traction_crit = damage_anisoDuctile_critLoad(f,instance)* &
(damageState(phase)%state0(index,constituent) + residualStiffness) ! degrading critical load carrying capacity by damage
udotd = &
sign(1.0_pReal,traction_d)* &
damage_anisoDuctile_sdot_0(instance)* &
(abs(traction_d)/traction_crit)**damage_anisoDuctile_N(instance)
if (udotd /= 0.0_pReal) then
Ld = Ld + udotd*projection_d
endif
udott = &
sign(1.0_pReal,traction_t)* &
damage_anisoDuctile_sdot_0(instance)* &
(abs(traction_t)/traction_crit)**damage_anisoDuctile_N(instance)
if (udott /= 0.0_pReal) then
Ld = Ld + udott*projection_t
endif
udotn = &
damage_anisoDuctile_sdot_0(instance)* &
(max(0.0_pReal,traction_n)/traction_crit)**damage_anisoDuctile_N(instance)
if (udotn /= 0.0_pReal) then
Ld = Ld + udotn*projection_n(1:3,1:3)
endif
index = index + 1_pInt
enddo
enddo
damageState(phase)%state(damage_anisoDuctile_totalNslip(instance)+2: &
damage_anisoDuctile_totalNslip(instance)+10,constituent) = &
reshape(math_mul33x33(math_inv33(math_I3 - dt*Ld), &
damage_anisoDuctile_getFd0(ipc, ip, el)), shape=[9])
end subroutine damage_anisoDuctile_putFd
!--------------------------------------------------------------------------------------------------
!> @brief returns local damage deformation gradient
!--------------------------------------------------------------------------------------------------
pure function damage_anisoDuctile_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_anisoDuctile_getFd0
phase = mappingConstitutive(2,ipc,ip,el)
constituent = mappingConstitutive(1,ipc,ip,el)
instance = phase_damageInstance(phase)
damage_anisoDuctile_getFd0 = &
reshape(damageState(phase)% &
subState0(damage_anisoDuctile_totalNslip(instance)+2: &
damage_anisoDuctile_totalNslip(instance)+10,constituent), &
shape=[3,3])
end function damage_anisoDuctile_getFd0
!--------------------------------------------------------------------------------------------------
!> @brief returns local damage deformation gradient
!--------------------------------------------------------------------------------------------------
pure function damage_anisoDuctile_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_anisoDuctile_getPartionedFd0
phase = mappingConstitutive(2,ipc,ip,el)
constituent = mappingConstitutive(1,ipc,ip,el)
instance = phase_damageInstance(phase)
damage_anisoDuctile_getPartionedFd0 = &
reshape(damageState(phase)% &
partionedState0(damage_anisoDuctile_totalNslip(instance)+2: &
damage_anisoDuctile_totalNslip(instance)+10,constituent), &
shape=[3,3])
end function damage_anisoDuctile_getPartionedFd0
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief returns damage !> @brief returns damage
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------