rho_forest is a dependent state
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@ -124,7 +124,8 @@ submodule(phase:plastic) nonlocal
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type :: tNonlocalDependentState
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real(pREAL), allocatable, dimension(:,:) :: &
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tau_pass, &
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tau_back
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tau_back, &
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rho_forest
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real(pREAL), allocatable, dimension(:,:,:,:,:) :: &
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compatibility
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end type tNonlocalDependentState
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@ -146,7 +147,6 @@ submodule(phase:plastic) nonlocal
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rhoDip, &
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rho_dip_edg, &
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rho_dip_scr, &
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rho_forest, &
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gamma, &
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v, &
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v_edg_pos, &
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@ -177,7 +177,7 @@ module function plastic_nonlocal_init() result(myPlasticity)
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integer :: &
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ph, &
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Nmembers, &
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sizeState, sizeDotState, sizeDependentState, sizeDeltaState, &
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sizeState, sizeDotState, sizeDeltaState, &
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s1, s2, &
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s, t, l
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real(pREAL), dimension(:,:), allocatable :: &
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@ -389,8 +389,7 @@ module function plastic_nonlocal_init() result(myPlasticity)
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'rhoSglScrewPosImmobile','rhoSglScrewNegImmobile', &
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'rhoDipEdge ','rhoDipScrew ', &
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'gamma ' ]) * prm%sum_N_sl !< "basic" microstructural state variables that are independent from other state variables
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sizeDependentState = size([ 'rhoForest ']) * prm%sum_N_sl !< microstructural state variables that depend on other state variables
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sizeState = sizeDotState + sizeDependentState &
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sizeState = sizeDotState &
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+ size([ 'velocityEdgePos ','velocityEdgeNeg ', &
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'velocityScrewPos ','velocityScrewNeg ', &
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'maxDipoleHeightEdge ','maxDipoleHeightScrew' ]) * prm%sum_N_sl !< other dependent state variables that are not updated by microstructure
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@ -477,15 +476,15 @@ module function plastic_nonlocal_init() result(myPlasticity)
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if (any(plasticState(ph)%atol(10*prm%sum_N_sl+1:11*prm%sum_N_sl) < 0.0_pREAL)) &
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extmsg = trim(extmsg)//' atol_gamma'
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stt%rho_forest => plasticState(ph)%state (11*prm%sum_N_sl + 1:12*prm%sum_N_sl,1:Nmembers)
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stt%v => plasticState(ph)%state (12*prm%sum_N_sl + 1:16*prm%sum_N_sl,1:Nmembers)
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stt%v_edg_pos => plasticState(ph)%state (12*prm%sum_N_sl + 1:13*prm%sum_N_sl,1:Nmembers)
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stt%v_edg_neg => plasticState(ph)%state (13*prm%sum_N_sl + 1:14*prm%sum_N_sl,1:Nmembers)
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stt%v_scr_pos => plasticState(ph)%state (14*prm%sum_N_sl + 1:15*prm%sum_N_sl,1:Nmembers)
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stt%v_scr_neg => plasticState(ph)%state (15*prm%sum_N_sl + 1:16*prm%sum_N_sl,1:Nmembers)
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stt%v => plasticState(ph)%state (11*prm%sum_N_sl + 1:15*prm%sum_N_sl,1:Nmembers)
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stt%v_edg_pos => plasticState(ph)%state (11*prm%sum_N_sl + 1:12*prm%sum_N_sl,1:Nmembers)
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stt%v_edg_neg => plasticState(ph)%state (12*prm%sum_N_sl + 1:13*prm%sum_N_sl,1:Nmembers)
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stt%v_scr_pos => plasticState(ph)%state (13*prm%sum_N_sl + 1:14*prm%sum_N_sl,1:Nmembers)
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stt%v_scr_neg => plasticState(ph)%state (14*prm%sum_N_sl + 1:15*prm%sum_N_sl,1:Nmembers)
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allocate(dst%tau_pass(prm%sum_N_sl,Nmembers),source=0.0_pREAL)
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allocate(dst%tau_back(prm%sum_N_sl,Nmembers),source=0.0_pREAL)
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allocate(dst%rho_forest(prm%sum_N_sl,Nmembers),source=0.0_pREAL)
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allocate(dst%compatibility(2,maxval(param%sum_N_sl),maxval(param%sum_N_sl),nIPneighbors,Nmembers),source=0.0_pREAL)
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end associate
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@ -518,7 +517,7 @@ module function plastic_nonlocal_init() result(myPlasticity)
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iRhoU(s,t,ph) = l
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end do
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end do
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l = l + (4+2+1+1)*param(ph)%sum_N_sl ! immobile(4), dipole(2), shear, forest
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l = l + (4+2+1)*param(ph)%sum_N_sl ! immobile(4), dipole(2), shear
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do t = 1,4
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do s = 1,param(ph)%sum_N_sl
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l = l + 1
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@ -602,7 +601,7 @@ module subroutine nonlocal_dependentState(ph, en)
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nu = elastic_nu(ph,en,prm%isotropic_bound)
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rho = getRho(ph,en)
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stt%rho_forest(:,en) = matmul(prm%forestProjection_Edge, sum(abs(rho(:,edg)),2)) &
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dst%rho_forest(:,en) = matmul(prm%forestProjection_Edge, sum(abs(rho(:,edg)),2)) &
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+ matmul(prm%forestProjection_Screw,sum(abs(rho(:,scr)),2))
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@ -612,7 +611,7 @@ module subroutine nonlocal_dependentState(ph, en)
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myInteractionMatrix = prm%h_sl_sl &
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* spread(( 1.0_pREAL - prm%f_F &
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+ prm%f_F &
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* log(0.35_pREAL * prm%b_sl * sqrt(max(stt%rho_forest(:,en),prm%rho_significant))) &
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* log(0.35_pREAL * prm%b_sl * sqrt(max(dst%rho_forest(:,en),prm%rho_significant))) &
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/ log(0.35_pREAL * prm%b_sl * 1e6_pREAL))**2,2,prm%sum_N_sl)
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else
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myInteractionMatrix = prm%h_sl_sl
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@ -1018,17 +1017,17 @@ module subroutine nonlocal_dotState(Mp,timestep, &
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isBCC: if (phase_lattice(ph) == 'cI') then
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forall (s = 1:prm%sum_N_sl, sum(abs(v(s,1:4))) > 0.0_pREAL)
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rhoDotMultiplication(s,1:2) = sum(abs(dot_gamma(s,3:4))) / prm%b_sl(s) & ! assuming double-cross-slip of screws to be decisive for multiplication
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* sqrt(stt%rho_forest(s,en)) / prm%i_sl(s) ! & ! mean free path
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* sqrt(dst%rho_forest(s,en)) / prm%i_sl(s) ! & ! mean free path
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! * 2.0_pREAL * sum(abs(v(s,3:4))) / sum(abs(v(s,1:4))) ! ratio of screw to overall velocity determines edge generation
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rhoDotMultiplication(s,3:4) = sum(abs(dot_gamma(s,3:4))) /prm%b_sl(s) & ! assuming double-cross-slip of screws to be decisive for multiplication
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* sqrt(stt%rho_forest(s,en)) / prm%i_sl(s) ! & ! mean free path
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* sqrt(dst%rho_forest(s,en)) / prm%i_sl(s) ! & ! mean free path
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! * 2.0_pREAL * sum(abs(v(s,1:2))) / sum(abs(v(s,1:4))) ! ratio of edge to overall velocity determines screw generation
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endforall
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else isBCC
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rhoDotMultiplication(:,1:4) = spread( &
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(sum(abs(dot_gamma(:,1:2)),2) * prm%f_ed_mult + sum(abs(dot_gamma(:,3:4)),2)) &
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* sqrt(stt%rho_forest(:,en)) / prm%i_sl / prm%b_sl, 2, 4) ! eq. 3.26
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* sqrt(dst%rho_forest(:,en)) / prm%i_sl / prm%b_sl, 2, 4) ! eq. 3.26
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end if isBCC
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forall (s = 1:prm%sum_N_sl, t = 1:4) v0(s,t) = plasticState(ph)%state0(iV(s,t,ph),en)
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@ -1074,7 +1073,7 @@ module subroutine nonlocal_dotState(Mp,timestep, &
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if (phase_lattice(ph) == 'cF') &
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forall (s = 1:prm%sum_N_sl, prm%colinearSystem(s) > 0) &
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rhoDotAthermalAnnihilation(prm%colinearSystem(s),1:2) = - rhoDotAthermalAnnihilation(s,10) &
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* 0.25_pREAL * sqrt(stt%rho_forest(s,en)) * (dUpper(s,2) + dLower(s,2)) * prm%f_ed
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* 0.25_pREAL * sqrt(dst%rho_forest(s,en)) * (dUpper(s,2) + dLower(s,2)) * prm%f_ed
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! thermally activated annihilation of edge dipoles by climb
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@ -1486,7 +1485,7 @@ module subroutine plastic_nonlocal_result(ph,group)
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call result_writeDataset(stt%rho_dip_scr,group,trim(prm%output(ou)), &
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'screw dipole density','1/m²', prm%systems_sl)
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case('rho_f')
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call result_writeDataset(stt%rho_forest,group,trim(prm%output(ou)), &
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call result_writeDataset(dst%rho_forest,group,trim(prm%output(ou)), &
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'forest density','1/m²', prm%systems_sl)
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case('v_ed_pos')
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call result_writeDataset(stt%v_edg_pos,group,trim(prm%output(ou)), &
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