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@ -36,14 +36,14 @@ module plastic_disloUCLA
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D, & !< grain size
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mu, &
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D0, & !< prefactor for self-diffusion coefficient
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Qsd !< activation energy for dislocation climb
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Q_cl !< activation energy for dislocation climb
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real(pReal), dimension(:), allocatable :: &
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rho_mob_0, & !< initial dislocation density
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rho_dip_0, & !< initial dipole density
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b_sl, & !< magnitude of burgers vector [m]
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nonSchmidCoeff, &
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minDipDistance, &
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CLambda, & !< Adj. parameter for distance between 2 forest dislocations
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D_a, &
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i_sl, & !< Adj. parameter for distance between 2 forest dislocations
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atomicVolume, &
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tau_0, &
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!* mobility law parameters
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@ -81,8 +81,7 @@ module plastic_disloUCLA
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type, private :: tDisloUCLAdependentState
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real(pReal), dimension(:,:), allocatable :: &
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mfp, &
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dislocationSpacing, &
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Lambda_sl, &
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threshold_stress
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end type tDisloUCLAdependentState
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@ -221,7 +220,7 @@ subroutine plastic_disloUCLA_init()
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prm%b_sl = config%getFloats('slipburgers', requiredSize=size(prm%N_sl))
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prm%delta_F = config%getFloats('qedge', requiredSize=size(prm%N_sl))
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prm%clambda = config%getFloats('clambdaslip', requiredSize=size(prm%N_sl))
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prm%i_sl = config%getFloats('clambdaslip', requiredSize=size(prm%N_sl))
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prm%tau_0 = config%getFloats('tau_peierls', requiredSize=size(prm%N_sl))
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prm%p = config%getFloats('p_slip', requiredSize=size(prm%N_sl), &
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defaultVal=[(1.0_pReal,i=1,size(prm%N_sl))])
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@ -234,9 +233,9 @@ subroutine plastic_disloUCLA_init()
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prm%D = config%getFloat('grainsize')
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prm%D0 = config%getFloat('d0')
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prm%Qsd = config%getFloat('qsd')
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prm%Q_cl = config%getFloat('qsd')
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prm%atomicVolume = config%getFloat('catomicvolume') * prm%b_sl**3.0_pReal
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prm%minDipDistance = config%getFloat('cedgedipmindistance') * prm%b_sl
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prm%D_a = config%getFloat('cedgedipmindistance') * prm%b_sl
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prm%dipoleformation = config%getFloat('dipoleformationfactor') > 0.0_pReal !should be on by default, ToDo: change to /key/-type key
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! expand: family => system
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@ -252,21 +251,21 @@ subroutine plastic_disloUCLA_init()
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prm%tau_0 = math_expand(prm%tau_0, prm%N_sl)
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prm%v0 = math_expand(prm%v0, prm%N_sl)
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prm%B = math_expand(prm%B, prm%N_sl)
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prm%clambda = math_expand(prm%clambda, prm%N_sl)
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prm%i_sl = math_expand(prm%i_sl, prm%N_sl)
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prm%atomicVolume = math_expand(prm%atomicVolume, prm%N_sl)
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prm%minDipDistance = math_expand(prm%minDipDistance, prm%N_sl)
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prm%D_a = math_expand(prm%D_a, prm%N_sl)
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! sanity checks
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if ( prm%D0 <= 0.0_pReal) extmsg = trim(extmsg)//' d0'
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if ( prm%Qsd <= 0.0_pReal) extmsg = trim(extmsg)//' qsd'
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if ( prm%Q_cl <= 0.0_pReal) extmsg = trim(extmsg)//' Q_cl'
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if (any(prm%rho_mob_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rhoedge0'
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if (any(prm%rho_dip_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rhoedgedip0'
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if (any(prm%v0 < 0.0_pReal)) extmsg = trim(extmsg)//' v0'
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if (any(prm%b_sl <= 0.0_pReal)) extmsg = trim(extmsg)//' slipb_sl'
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if (any(prm%delta_F <= 0.0_pReal)) extmsg = trim(extmsg)//' qedge'
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if (any(prm%tau_0 < 0.0_pReal)) extmsg = trim(extmsg)//' tau_0'
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if (any(prm%minDipDistance <= 0.0_pReal)) extmsg = trim(extmsg)//' cedgedipmindistance or slipb_sl'
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if (any(prm%D_a <= 0.0_pReal)) extmsg = trim(extmsg)//' cedgedipmindistance or slipb_sl'
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if (any(prm%atomicVolume <= 0.0_pReal)) extmsg = trim(extmsg)//' catomicvolume or slipb_sl'
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else slipActive
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@ -345,8 +344,7 @@ subroutine plastic_disloUCLA_init()
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plasticState(p)%slipRate => plasticState(p)%dotState(startIndex:endIndex,:)
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plasticState(p)%accumulatedSlip => plasticState(p)%state(startIndex:endIndex,:)
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allocate(dst%mfp(prm%sum_N_sl,NipcMyPhase), source=0.0_pReal)
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allocate(dst%dislocationSpacing(prm%sum_N_sl,NipcMyPhase),source=0.0_pReal)
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allocate(dst%Lambda_sl(prm%sum_N_sl,NipcMyPhase), source=0.0_pReal)
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allocate(dst%threshold_stress(prm%sum_N_sl,NipcMyPhase), source=0.0_pReal)
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plasticState(p)%state0 = plasticState(p)%state ! ToDo: this could be done centrally
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@ -405,7 +403,7 @@ end subroutine plastic_disloUCLA_LpAndItsTangent
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!--------------------------------------------------------------------------------------------------
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!> @brief calculates the rate of change of microstructure
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!--------------------------------------------------------------------------------------------------
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subroutine plastic_disloUCLA_dotState(Mp,Temperature,instance,of)
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subroutine plastic_disloUCLA_dotState(Mp,T,instance,of)
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use prec, only: &
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tol_math_check, &
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dEq0
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@ -417,7 +415,7 @@ subroutine plastic_disloUCLA_dotState(Mp,Temperature,instance,of)
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real(pReal), dimension(3,3), intent(in) :: &
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Mp !< Mandel stress
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real(pReal), intent(in) :: &
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temperature !< temperature
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T !< temperature
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integer, intent(in) :: &
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instance, &
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of
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@ -428,38 +426,38 @@ subroutine plastic_disloUCLA_dotState(Mp,Temperature,instance,of)
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gdot_pos, gdot_neg,&
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tau_pos,&
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tau_neg, &
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DotRhoDipFormation, ClimbVelocity, EdgeDipDistance, &
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DotRhoDipFormation, v_cl, EdgeDipDistance, &
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DotRhoEdgeDipClimb
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associate(prm => param(instance), stt => state(instance),dot => dotState(instance), dst => dependentState(instance))
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call kinetics(Mp,Temperature,instance,of,&
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call kinetics(Mp,T,instance,of,&
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gdot_pos,gdot_neg, &
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tau_pos_out = tau_pos,tau_neg_out = tau_neg)
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dot%gamma_sl(:,of) = (gdot_pos+gdot_neg) ! ToDo: needs to be abs
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VacancyDiffusion = prm%D0*exp(-prm%Qsd/(kB*Temperature))
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VacancyDiffusion = prm%D0*exp(-prm%Q_cl/(kB*T))
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where(dEq0(tau_pos)) ! ToDo: use avg of pos and neg
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DotRhoDipFormation = 0.0_pReal
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DotRhoEdgeDipClimb = 0.0_pReal
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else where
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EdgeDipDistance = math_clip((3.0_pReal*prm%mu*prm%b_sl)/(16.0_pReal*PI*abs(tau_pos)), &
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prm%minDipDistance, & ! lower limit
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dst%mfp(:,of)) ! upper limit
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DotRhoDipFormation = merge(((2.0_pReal*EdgeDipDistance)/prm%b_sl)* stt%rho_mob(:,of)*abs(dot%gamma_sl(:,of)), & ! ToDo: ignore region of spontaneous annihilation
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prm%D_a, & ! lower limit
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dst%Lambda_sl(:,of)) ! upper limit
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dotRhoDipFormation = merge(((2.0_pReal*EdgeDipDistance)/prm%b_sl)* stt%rho_mob(:,of)*abs(dot%gamma_sl(:,of)), & ! ToDo: ignore region of spontaneous annihilation
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0.0_pReal, &
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prm%dipoleformation)
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ClimbVelocity = (3.0_pReal*prm%mu*VacancyDiffusion*prm%atomicVolume/(2.0_pReal*pi*kB*Temperature)) &
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* (1.0_pReal/(EdgeDipDistance+prm%minDipDistance))
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DotRhoEdgeDipClimb = (4.0_pReal*ClimbVelocity*stt%rho_dip(:,of))/(EdgeDipDistance-prm%minDipDistance) ! ToDo: Discuss with Franz: Stress dependency?
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v_cl = (3.0_pReal*prm%mu*VacancyDiffusion*prm%atomicVolume/(2.0_pReal*pi*kB*T)) &
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* (1.0_pReal/(EdgeDipDistance+prm%D_a))
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dotRhoEdgeDipClimb = (4.0_pReal*v_cl*stt%rho_dip(:,of))/(EdgeDipDistance-prm%D_a) ! ToDo: Discuss with Franz: Stress dependency?
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end where
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dot%rho_mob(:,of) = abs(dot%gamma_sl(:,of))/(prm%b_sl*dst%mfp(:,of)) & ! multiplication
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dot%rho_mob(:,of) = abs(dot%gamma_sl(:,of))/(prm%b_sl*dst%Lambda_sl(:,of)) & ! multiplication
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- DotRhoDipFormation &
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- (2.0_pReal*prm%minDipDistance)/prm%b_sl*stt%rho_mob(:,of)*abs(dot%gamma_sl(:,of)) !* Spontaneous annihilation of 2 single edge dislocations
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- (2.0_pReal*prm%D_a)/prm%b_sl*stt%rho_mob(:,of)*abs(dot%gamma_sl(:,of)) ! Spontaneous annihilation of 2 single edge dislocations
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dot%rho_dip(:,of) = DotRhoDipFormation &
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- (2.0_pReal*prm%minDipDistance)/prm%b_sl*stt%rho_dip(:,of)*abs(dot%gamma_sl(:,of)) & !* Spontaneous annihilation of a single edge dislocation with a dipole constituent
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- (2.0_pReal*prm%D_a)/prm%b_sl*stt%rho_dip(:,of)*abs(dot%gamma_sl(:,of)) & ! Spontaneous annihilation of a single edge dislocation with a dipole constituent
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- DotRhoEdgeDipClimb
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end associate
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@ -477,21 +475,22 @@ subroutine plastic_disloUCLA_dependentState(instance,of)
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instance, &
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of
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real(pReal), dimension(param(instance)%sum_N_sl) :: &
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dislocationSpacing
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integer :: &
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i
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associate(prm => param(instance), stt => state(instance),dst => dependentState(instance))
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forall (i = 1:prm%sum_N_sl)
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dst%dislocationSpacing(i,of) = sqrt(dot_product(stt%rho_mob(:,of)+stt%rho_dip(:,of), &
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dislocationSpacing(i) = sqrt(dot_product(stt%rho_mob(:,of)+stt%rho_dip(:,of), &
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prm%forestProjectionEdge(:,i)))
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dst%threshold_stress(i,of) = prm%mu*prm%b_sl(i) &
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* sqrt(dot_product(stt%rho_mob(:,of)+stt%rho_dip(:,of), &
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prm%h_sl_sl(:,i)))
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end forall
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dst%mfp(:,of) = prm%D/(1.0_pReal+prm%D*dst%dislocationSpacing(:,of)/prm%Clambda)
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dst%dislocationSpacing(:,of) = dst%mfp(:,of) ! ToDo: Hack to recover wrong behavior for the moment
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dst%Lambda_sl(:,of) = prm%D/(1.0_pReal+prm%D*dislocationSpacing/prm%i_sl)
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end associate
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@ -542,7 +541,7 @@ function plastic_disloUCLA_postResults(Mp,Temperature,instance,of) result(postRe
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case (gamma_sl_ID)
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postResults(c+1:c+prm%sum_N_sl) = stt%gamma_sl(1:prm%sum_N_sl, of)
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case (Lambda_sl_ID)
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postResults(c+1:c+prm%sum_N_sl) = dst%mfp(1:prm%sum_N_sl, of)
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postResults(c+1:c+prm%sum_N_sl) = dst%Lambda_sl(1:prm%sum_N_sl, of)
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case (thresholdstress_ID)
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postResults(c+1:c+prm%sum_N_sl) = dst%threshold_stress(1:prm%sum_N_sl,of)
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@ -638,7 +637,7 @@ pure subroutine kinetics(Mp,Temperature,instance,of, &
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associate(BoltzmannRatio => prm%delta_F/(kB*Temperature), &
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DotGamma0 => stt%rho_mob(:,of)*prm%b_sl*prm%v0, &
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effectiveLength => dst%mfp(:,of) - prm%w)
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effectiveLength => dst%Lambda_sl(:,of) - prm%w)
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significantPositiveTau: where(abs(tau_pos)-dst%threshold_stress(:,of) > tol_math_check)
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StressRatio = (abs(tau_pos)-dst%threshold_stress(:,of))/prm%tau_0
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