notation following paper

https://doi.org/10.1016/j.jmps.2016.10.012
DAMASK paper
This commit is contained in:
Martin Diehl 2023-03-10 00:20:25 +01:00
parent c1cb6a72c1
commit 13630325c3
5 changed files with 37 additions and 37 deletions

@ -1 +1 @@
Subproject commit 9685fa71bac2d56e6fd73d40160007f09fdae8db Subproject commit 8fbc1dd8a26bf359b72bc076dac8ea3edef3be6d

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@ -6,8 +6,8 @@ N_cl: [3]
g_crit: [0.5e+7] g_crit: [0.5e+7]
s_crit: [0.006666] s_crit: [0.006666]
dot_o: 1.e-3 dot_o_0: 1.e-3
q: 20 p: 20
l_c: 1.0 l_c: 1.0
mu: 0.001 mu: 0.001

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@ -314,14 +314,14 @@ module phase
end subroutine plastic_dependentState end subroutine plastic_dependentState
module subroutine damage_anisobrittle_LiAndItsTangent(Ld, dLd_dTstar, S, ph,en) module subroutine damage_anisobrittle_LiAndItsTangent(L_i, dL_i_dM_i, M_i, ph,en)
integer, intent(in) :: ph, en integer, intent(in) :: ph, en
real(pReal), intent(in), dimension(3,3) :: & real(pReal), intent(in), dimension(3,3) :: &
S M_i
real(pReal), intent(out), dimension(3,3) :: & real(pReal), intent(out), dimension(3,3) :: &
Ld !< damage velocity gradient L_i !< damage velocity gradient
real(pReal), intent(out), dimension(3,3,3,3) :: & real(pReal), intent(out), dimension(3,3,3,3) :: &
dLd_dTstar !< derivative of Ld with respect to Tstar (4th-order tensor) dL_i_dM_i !< derivative of L_i with respect to M_i
end subroutine damage_anisobrittle_LiAndItsTangent end subroutine damage_anisobrittle_LiAndItsTangent
end interface end interface

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@ -49,10 +49,10 @@ submodule(phase) damage
end subroutine isobrittle_deltaState end subroutine isobrittle_deltaState
module subroutine anisobrittle_dotState(S, ph, en) module subroutine anisobrittle_dotState(M_i, ph, en)
integer, intent(in) :: ph,en integer, intent(in) :: ph,en
real(pReal), intent(in), dimension(3,3) :: & real(pReal), intent(in), dimension(3,3) :: &
S M_i
end subroutine anisobrittle_dotState end subroutine anisobrittle_dotState
@ -384,7 +384,7 @@ function phase_damage_collectDotState(ph,en) result(broken)
sourceType: select case (phase_damage(ph)) sourceType: select case (phase_damage(ph))
case (DAMAGE_ANISOBRITTLE_ID) sourceType case (DAMAGE_ANISOBRITTLE_ID) sourceType
call anisobrittle_dotState(mechanical_S(ph,en), ph,en) ! correct stress? call anisobrittle_dotState(mechanical_S(ph,en), ph,en) ! ToDo: use M_d
end select sourceType end select sourceType

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@ -8,8 +8,8 @@ submodule (phase:damage) anisobrittle
type :: tParameters !< container type for internal constitutive parameters type :: tParameters !< container type for internal constitutive parameters
real(pReal) :: & real(pReal) :: &
dot_o, & !< opening rate of cleavage planes dot_o_0, & !< opening rate of cleavage planes
q !< damage rate sensitivity p !< damage rate sensitivity
real(pReal), dimension(:), allocatable :: & real(pReal), dimension(:), allocatable :: &
s_crit, & !< critical displacement s_crit, & !< critical displacement
g_crit !< critical load g_crit !< critical load
@ -71,8 +71,8 @@ module function anisobrittle_init() result(mySources)
N_cl = src%get_as1dInt('N_cl',defaultVal=emptyIntArray) N_cl = src%get_as1dInt('N_cl',defaultVal=emptyIntArray)
prm%sum_N_cl = sum(abs(N_cl)) prm%sum_N_cl = sum(abs(N_cl))
prm%q = src%get_asFloat('q') prm%p = src%get_asFloat('p')
prm%dot_o = src%get_asFloat('dot_o') prm%dot_o_0 = src%get_asFloat('dot_o_0')
prm%s_crit = src%get_as1dFloat('s_crit', requiredSize=size(N_cl)) prm%s_crit = src%get_as1dFloat('s_crit', requiredSize=size(N_cl))
prm%g_crit = src%get_as1dFloat('g_crit', requiredSize=size(N_cl)) prm%g_crit = src%get_as1dFloat('g_crit', requiredSize=size(N_cl))
@ -90,8 +90,8 @@ module function anisobrittle_init() result(mySources)
#endif #endif
! sanity checks ! sanity checks
if (prm%q <= 0.0_pReal) extmsg = trim(extmsg)//' q' if (prm%p <= 0.0_pReal) extmsg = trim(extmsg)//' p'
if (prm%dot_o <= 0.0_pReal) extmsg = trim(extmsg)//' dot_o' if (prm%dot_o_0 <= 0.0_pReal) extmsg = trim(extmsg)//' dot_o_0'
if (any(prm%g_crit < 0.0_pReal)) extmsg = trim(extmsg)//' g_crit' 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' if (any(prm%s_crit < 0.0_pReal)) extmsg = trim(extmsg)//' s_crit'
@ -113,12 +113,12 @@ end function anisobrittle_init
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief !> @brief
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
module subroutine anisobrittle_dotState(S, ph,en) module subroutine anisobrittle_dotState(M_i, ph,en)
integer, intent(in) :: & integer, intent(in) :: &
ph,en ph,en
real(pReal), intent(in), dimension(3,3) :: & real(pReal), intent(in), dimension(3,3) :: &
S M_i
integer :: & integer :: &
a, i a, i
@ -129,13 +129,13 @@ module subroutine anisobrittle_dotState(S, ph,en)
associate(prm => param(ph)) associate(prm => param(ph))
damageState(ph)%dotState(1,en) = 0.0_pReal damageState(ph)%dotState(1,en) = 0.0_pReal
do a = 1, prm%sum_N_cl do a = 1, prm%sum_N_cl
traction_crit = prm%g_crit(a)*damage_phi(ph,en)**2 traction_crit = damage_phi(ph,en)**2 * prm%g_crit(a)
do i = 1,3 do i = 1,3
traction = math_tensordot(S,prm%cleavage_systems(1:3,1:3,i,a)) traction = math_tensordot(M_i,prm%cleavage_systems(1:3,1:3,i,a))
damageState(ph)%dotState(1,en) = damageState(ph)%dotState(1,en) & damageState(ph)%dotState(1,en) = damageState(ph)%dotState(1,en) &
+ prm%dot_o / prm%s_crit(a) & + prm%dot_o_0 / prm%s_crit(a) &
* (max(0.0_pReal, abs(traction) - traction_crit)/traction_crit)**prm%q * (max(0.0_pReal, abs(traction) - traction_crit)/traction_crit)**prm%p
end do end do
end do end do
end associate end associate
@ -157,8 +157,8 @@ module subroutine anisobrittle_result(phase,group)
associate(prm => param(phase), stt => damageState(phase)%state) associate(prm => param(phase), stt => damageState(phase)%state)
outputsLoop: do o = 1,size(prm%output) outputsLoop: do o = 1,size(prm%output)
select case(trim(prm%output(o))) select case(trim(prm%output(o)))
case ('f_phi') case ('Psi_D')
call result_writeDataset(stt,group,trim(prm%output(o)),'driving force','-') call result_writeDataset(stt,group,trim(prm%output(o)),'damage energy density','-')
end select end select
end do outputsLoop end do outputsLoop
end associate end associate
@ -169,16 +169,16 @@ end subroutine anisobrittle_result
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief contains the constitutive equation for calculating the velocity gradient !> @brief contains the constitutive equation for calculating the velocity gradient
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
module subroutine damage_anisobrittle_LiAndItsTangent(Ld, dLd_dTstar, S, ph,en) module subroutine damage_anisobrittle_LiAndItsTangent(L_i, dL_i_dM_i, M_i, ph,en)
integer, intent(in) :: & integer, intent(in) :: &
ph,en ph,en
real(pReal), intent(in), dimension(3,3) :: & real(pReal), intent(in), dimension(3,3) :: &
S M_i
real(pReal), intent(out), dimension(3,3) :: & real(pReal), intent(out), dimension(3,3) :: &
Ld !< damage velocity gradient L_i !< damage velocity gradient
real(pReal), intent(out), dimension(3,3,3,3) :: & real(pReal), intent(out), dimension(3,3,3,3) :: &
dLd_dTstar !< derivative of Ld with respect to Tstar (4th-order tensor) dL_i_dM_i !< derivative of L_i with respect to M_i
integer :: & integer :: &
a, k, l, m, n, i a, k, l, m, n, i
@ -187,20 +187,20 @@ module subroutine damage_anisobrittle_LiAndItsTangent(Ld, dLd_dTstar, S, ph,en)
udot, dudot_dt udot, dudot_dt
Ld = 0.0_pReal L_i = 0.0_pReal
dLd_dTstar = 0.0_pReal dL_i_dM_i = 0.0_pReal
associate(prm => param(ph)) associate(prm => param(ph))
do a = 1,prm%sum_N_cl do a = 1,prm%sum_N_cl
traction_crit = prm%g_crit(a)*damage_phi(ph,en)**2 traction_crit = damage_phi(ph,en)**2 * prm%g_crit(a)
do i = 1, 3 do i = 1, 3
traction = math_tensordot(S,prm%cleavage_systems(1:3,1:3,i,a)) traction = math_tensordot(M_i,prm%cleavage_systems(1:3,1:3,i,a))
if (abs(traction) > traction_crit + tol_math_check) then if (abs(traction) > traction_crit + tol_math_check) then
udot = sign(1.0_pReal,traction)* prm%dot_o * ((abs(traction) - traction_crit)/traction_crit)**prm%q udot = sign(1.0_pReal,traction)* prm%dot_o_0 * ((abs(traction) - traction_crit)/traction_crit)**prm%p
Ld = Ld + udot*prm%cleavage_systems(1:3,1:3,i,a) L_i = L_i + udot*prm%cleavage_systems(1:3,1:3,i,a)
dudot_dt = sign(1.0_pReal,traction)*udot*prm%q / (abs(traction) - traction_crit) dudot_dt = sign(1.0_pReal,traction)*udot*prm%p / (abs(traction) - traction_crit)
forall (k=1:3,l=1:3,m=1:3,n=1:3) & 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) & dL_i_dM_i(k,l,m,n) = dL_i_dM_i(k,l,m,n) &
+ dudot_dt*prm%cleavage_systems(k,l,i,a) * prm%cleavage_systems(m,n,i,a) + dudot_dt*prm%cleavage_systems(k,l,i,a) * prm%cleavage_systems(m,n,i,a)
end if end if
end do end do