simplified
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Martin Diehl
parent
b0427584cb
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132640eed5
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@ -121,22 +121,22 @@ module subroutine anisobrittle_dotState(S, ph,en)
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S
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integer :: &
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i
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a
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real(pReal) :: &
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traction_d, traction_t, traction_n, traction_crit
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associate(prm => param(ph))
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damageState(ph)%dotState(1,en) = 0.0_pReal
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do i = 1, prm%sum_N_cl
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traction_d = math_tensordot(S,prm%cleavage_systems(1:3,1:3,1,i))
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traction_t = math_tensordot(S,prm%cleavage_systems(1:3,1:3,2,i))
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traction_n = math_tensordot(S,prm%cleavage_systems(1:3,1:3,3,i))
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do a = 1, prm%sum_N_cl
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traction_d = math_tensordot(S,prm%cleavage_systems(1:3,1:3,1,a))
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traction_t = math_tensordot(S,prm%cleavage_systems(1:3,1:3,2,a))
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traction_n = math_tensordot(S,prm%cleavage_systems(1:3,1:3,3,a))
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traction_crit = prm%g_crit(i)*damage_phi(ph,en)**2
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traction_crit = prm%g_crit(a)*damage_phi(ph,en)**2
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damageState(ph)%dotState(1,en) = damageState(ph)%dotState(1,en) &
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+ prm%dot_o / prm%s_crit(i) &
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+ prm%dot_o / prm%s_crit(a) &
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* ((max(0.0_pReal, abs(traction_d) - traction_crit)/traction_crit)**prm%q + &
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(max(0.0_pReal, abs(traction_t) - traction_crit)/traction_crit)**prm%q + &
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(max(0.0_pReal, abs(traction_n) - traction_crit)/traction_crit)**prm%q)
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@ -184,48 +184,48 @@ module subroutine damage_anisobrittle_LiAndItsTangent(Ld, dLd_dTstar, S, ph,en)
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dLd_dTstar !< derivative of Ld with respect to Tstar (4th-order tensor)
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integer :: &
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i, k, l, m, n
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a, k, l, m, n
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real(pReal) :: &
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traction_d, traction_t, traction_n, traction_crit, &
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udotd, dudotd_dt, udott, dudott_dt, udotn, dudotn_dt
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traction, traction_crit, &
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udot, dudot_dt
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Ld = 0.0_pReal
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dLd_dTstar = 0.0_pReal
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associate(prm => param(ph))
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do i = 1,prm%sum_N_cl
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traction_crit = prm%g_crit(i)*damage_phi(ph,en)**2
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do a = 1,prm%sum_N_cl
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traction_crit = prm%g_crit(a)*damage_phi(ph,en)**2
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traction_d = math_tensordot(S,prm%cleavage_systems(1:3,1:3,1,i))
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if (abs(traction_d) > traction_crit + tol_math_check) then
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udotd = sign(1.0_pReal,traction_d)* prm%dot_o * ((abs(traction_d) - traction_crit)/traction_crit)**prm%q
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Ld = Ld + udotd*prm%cleavage_systems(1:3,1:3,1,i)
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dudotd_dt = sign(1.0_pReal,traction_d)*udotd*prm%q / (abs(traction_d) - traction_crit)
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forall (k=1:3,l=1:3,m=1:3,n=1:3) &
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dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) &
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+ dudotd_dt*prm%cleavage_systems(k,l,1,i) * prm%cleavage_systems(m,n,1,i)
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end if
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traction = math_tensordot(S,prm%cleavage_systems(1:3,1:3,1,a))
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if (abs(traction) > traction_crit + tol_math_check) then
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udot = sign(1.0_pReal,traction)* prm%dot_o * ((abs(traction) - traction_crit)/traction_crit)**prm%q
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Ld = Ld + udot*prm%cleavage_systems(1:3,1:3,1,a)
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dudot_dt = sign(1.0_pReal,traction)*udot*prm%q / (abs(traction) - traction_crit)
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forall (k=1:3,l=1:3,m=1:3,n=1:3) &
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dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) &
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+ dudot_dt*prm%cleavage_systems(k,l,1,a) * prm%cleavage_systems(m,n,1,a)
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end if
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traction_t = math_tensordot(S,prm%cleavage_systems(1:3,1:3,2,i))
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if (abs(traction_t) > traction_crit + tol_math_check) then
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udott = sign(1.0_pReal,traction_t)* prm%dot_o * ((abs(traction_t) - traction_crit)/traction_crit)**prm%q
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Ld = Ld + udott*prm%cleavage_systems(1:3,1:3,2,i)
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dudott_dt = sign(1.0_pReal,traction_t)*udott*prm%q / (abs(traction_t) - traction_crit)
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forall (k=1:3,l=1:3,m=1:3,n=1:3) &
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dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) &
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+ dudott_dt*prm%cleavage_systems(k,l,2,i) * prm%cleavage_systems(m,n,2,i)
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end if
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traction = math_tensordot(S,prm%cleavage_systems(1:3,1:3,2,a))
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if (abs(traction) > traction_crit + tol_math_check) then
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udot = sign(1.0_pReal,traction)* prm%dot_o * ((abs(traction) - traction_crit)/traction_crit)**prm%q
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Ld = Ld + udot*prm%cleavage_systems(1:3,1:3,2,a)
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dudot_dt = sign(1.0_pReal,traction)*udot*prm%q / (abs(traction) - traction_crit)
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forall (k=1:3,l=1:3,m=1:3,n=1:3) &
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dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) &
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+ dudot_dt*prm%cleavage_systems(k,l,2,a) * prm%cleavage_systems(m,n,2,a)
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end if
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traction_n = math_tensordot(S,prm%cleavage_systems(1:3,1:3,3,i))
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if (abs(traction_n) > traction_crit + tol_math_check) then
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udotn = sign(1.0_pReal,traction_n)* prm%dot_o * ((abs(traction_n) - traction_crit)/traction_crit)**prm%q
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Ld = Ld + udotn*prm%cleavage_systems(1:3,1:3,3,i)
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dudotn_dt = sign(1.0_pReal,traction_n)*udotn*prm%q / (abs(traction_n) - traction_crit)
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forall (k=1:3,l=1:3,m=1:3,n=1:3) &
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dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) &
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+ dudotn_dt*prm%cleavage_systems(k,l,3,i) * prm%cleavage_systems(m,n,3,i)
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end if
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end do
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traction = math_tensordot(S,prm%cleavage_systems(1:3,1:3,3,a))
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if (abs(traction) > traction_crit + tol_math_check) then
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udot = sign(1.0_pReal,traction)* prm%dot_o * ((abs(traction) - traction_crit)/traction_crit)**prm%q
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Ld = Ld + udot*prm%cleavage_systems(1:3,1:3,3,a)
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dudot_dt = sign(1.0_pReal,traction)*udot*prm%q / (abs(traction) - traction_crit)
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forall (k=1:3,l=1:3,m=1:3,n=1:3) &
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dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) &
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+ dudot_dt*prm%cleavage_systems(k,l,3,a) * prm%cleavage_systems(m,n,3,a)
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end if
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end do
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end associate
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end subroutine damage_anisobrittle_LiAndItsTangent
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