polishing
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@ -425,7 +425,7 @@ subroutine constitutive_microstructure(orientations, Fe, Fp, ipc, ip, el)
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case (PLASTICITY_DISLOUCLA_ID) plasticityType
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of = phasememberAt(ipc,ip,el)
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instance = phase_plasticityInstance(material_phase(ipc,ip,el))
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call plastic_disloUCLA_dependentState(temperature(ho)%p(tme),instance,of)
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call plastic_disloUCLA_dependentState(instance,of)
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case (PLASTICITY_NONLOCAL_ID) plasticityType
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call plastic_nonlocal_microstructure (Fe,Fp,ip,el)
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end select plasticityType
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@ -97,18 +97,18 @@ module plastic_disloUCLA
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whole
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end type
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type, private :: tDisloUCLAMicrostructure
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type, private :: tDisloUCLAdependentState
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real(pReal), allocatable, dimension(:,:) :: &
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mfp, &
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threshold_stress
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end type tDisloUCLAMicrostructure
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end type tDisloUCLAdependentState
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type(tDisloUCLAState ), allocatable, dimension(:), private :: &
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state, &
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dotState
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type(tDisloUCLAMicrostructure), allocatable, dimension(:), private :: &
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microstructure
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type(tDisloUCLAdependentState), allocatable, dimension(:), private :: &
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dependentState
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public :: &
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plastic_disloUCLA_init, &
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@ -159,12 +159,12 @@ subroutine plastic_disloUCLA_init()
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implicit none
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integer(pInt) :: maxNinstance,&
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f,instance,j,k,o, i, &
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outputSize, phase, &
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f,j,k,o, i, &
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outputSize, &
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offset_slip, index_myFamily, index_otherFamily, &
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startIndex, endIndex, p
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integer(pInt) :: sizeState, sizeDotState
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integer(pInt) :: NofMyPhase
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startIndex, endIndex, p, &
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sizeState, sizeDotState, &
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NofMyPhase
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character(len=65536) :: &
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structure = ''
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character(len=65536), dimension(:), allocatable :: outputs
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@ -196,15 +196,15 @@ subroutine plastic_disloUCLA_init()
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allocate(param(maxNinstance))
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allocate(state(maxNinstance))
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allocate(dotState(maxNinstance))
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allocate(microstructure(maxNinstance))
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allocate(dependentState(maxNinstance))
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do p = 1_pInt, size(phase_plasticityInstance)
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do p = 1_pInt, size(phase_plasticityInstance)
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if (phase_plasticity(p) /= PLASTICITY_DISLOUCLA_ID) cycle
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associate(prm => param(phase_plasticityInstance(p)), &
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dot => dotState(phase_plasticityInstance(p)), &
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stt => state(phase_plasticityInstance(p)), &
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mse => microstructure(phase_plasticityInstance(p)))
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dst => dependentState(phase_plasticityInstance(p)))
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structure = config_phase(p)%getString('lattice_structure')
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prm%mu = lattice_mu(p)
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@ -274,8 +274,7 @@ do p = 1_pInt, size(phase_plasticityInstance)
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prm%atomicVolume = math_expand(prm%atomicVolume, prm%Nslip)
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prm%minDipDistance = math_expand(prm%minDipDistance, prm%Nslip)
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instance = phase_plasticityInstance(p)
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plastic_disloUCLA_totalNslip(instance) = prm%totalNslip
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plastic_disloUCLA_totalNslip(phase_plasticityInstance(p)) = prm%totalNslip
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!if (plastic_disloUCLA_CAtomicVolume(instance) <= 0.0_pReal) &
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! call IO_error(211_pInt,el=instance,ext_msg='cAtomicVolume ('//PLASTICITY_DISLOUCLA_label//')')
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! if (prm%D0 <= 0.0_pReal) &
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@ -284,6 +283,17 @@ do p = 1_pInt, size(phase_plasticityInstance)
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! call IO_error(211_pInt,el=instance,ext_msg='Qsd ('//PLASTICITY_DISLOUCLA_label//')')
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! if (plastic_disloUCLA_aTolRho(instance) <= 0.0_pReal) &
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! call IO_error(211_pInt,el=instance,ext_msg='aTolRho ('//PLASTICITY_DISLOUCLA_label//')')
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!if (plastic_disloUCLA_rhoEdge0(f,instance) < 0.0_pReal) &
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! call IO_error(211_pInt,el=instance,ext_msg='rhoEdge0 ('//PLASTICITY_DISLOUCLA_label//')')
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!if (plastic_disloUCLA_rhoEdgeDip0(f,instance) < 0.0_pReal) &
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! call IO_error(211_pInt,el=instance,ext_msg='rhoEdgeDip0 ('//PLASTICITY_DISLOUCLA_label//')')
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!if (plastic_disloUCLA_burgersPerSlipFamily(f,instance) <= 0.0_pReal) &
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! call IO_error(211_pInt,el=instance,ext_msg='slipBurgers ('//PLASTICITY_DISLOUCLA_label//')')
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!if (plastic_disloUCLA_v0PerSlipFamily(f,instance) <= 0.0_pReal) &
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! call IO_error(211_pInt,el=instance,ext_msg='v0 ('//PLASTICITY_DISLOUCLA_label//')')
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!if (plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance) < 0.0_pReal) &
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! call IO_error(211_pInt,el=instance,ext_msg='tau_peierls ('//PLASTICITY_DISLOUCLA_label//')')
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else slipActive
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allocate(prm%rho0(0))
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@ -332,23 +342,7 @@ do p = 1_pInt, size(phase_plasticityInstance)
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enddo
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!if (plastic_disloUCLA_rhoEdge0(f,instance) < 0.0_pReal) &
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! call IO_error(211_pInt,el=instance,ext_msg='rhoEdge0 ('//PLASTICITY_DISLOUCLA_label//')')
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!if (plastic_disloUCLA_rhoEdgeDip0(f,instance) < 0.0_pReal) &
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! call IO_error(211_pInt,el=instance,ext_msg='rhoEdgeDip0 ('//PLASTICITY_DISLOUCLA_label//')')
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!if (plastic_disloUCLA_burgersPerSlipFamily(f,instance) <= 0.0_pReal) &
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! call IO_error(211_pInt,el=instance,ext_msg='slipBurgers ('//PLASTICITY_DISLOUCLA_label//')')
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!if (plastic_disloUCLA_v0PerSlipFamily(f,instance) <= 0.0_pReal) &
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! call IO_error(211_pInt,el=instance,ext_msg='v0 ('//PLASTICITY_DISLOUCLA_label//')')
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!if (plastic_disloUCLA_tau_peierlsPerSlipFamily(f,instance) < 0.0_pReal) &
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! call IO_error(211_pInt,el=instance,ext_msg='tau_peierls ('//PLASTICITY_DISLOUCLA_label//')')
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phase = p
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NofMyPhase=count(material_phase==phase)
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instance = phase_plasticityInstance(phase)
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NofMyPhase=count(material_phase==p)
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!--------------------------------------------------------------------------------------------------
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! allocate state arrays
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@ -356,42 +350,42 @@ do p = 1_pInt, size(phase_plasticityInstance)
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sizeDotState = int(size(['rhoEdge ','rhoEdgeDip ','accshearslip']),pInt) * prm%totalNslip
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sizeState = sizeDotState
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call material_allocatePlasticState(phase,NofMyPhase,sizeState,sizeDotState,0_pInt, &
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call material_allocatePlasticState(p,NofMyPhase,sizeState,sizeDotState,0_pInt, &
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prm%totalNslip,0_pInt,0_pInt)
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plasticState(phase)%sizePostResults = sum(plastic_disloUCLA_sizePostResult(:,phase_plasticityInstance(p)))
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plasticState(p)%sizePostResults = sum(plastic_disloUCLA_sizePostResult(:,phase_plasticityInstance(p)))
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offset_slip = 2_pInt*plasticState(phase)%nSlip
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plasticState(phase)%slipRate => &
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plasticState(phase)%dotState(offset_slip+1:offset_slip+plasticState(phase)%nSlip,1:NofMyPhase)
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plasticState(phase)%accumulatedSlip => &
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plasticState(phase)%state (offset_slip+1:offset_slip+plasticState(phase)%nSlip,1:NofMyPhase)
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offset_slip = 2_pInt*plasticState(p)%nSlip
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plasticState(p)%slipRate => &
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plasticState(p)%dotState(offset_slip+1:offset_slip+plasticState(p)%nSlip,1:NofMyPhase)
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plasticState(p)%accumulatedSlip => &
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plasticState(p)%state (offset_slip+1:offset_slip+plasticState(p)%nSlip,1:NofMyPhase)
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startIndex=1_pInt
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endIndex=prm%totalNslip
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stt%rhoEdge=>plasticState(phase)%state(startIndex:endIndex,:)
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stt%rhoEdge=>plasticState(p)%state(startIndex:endIndex,:)
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stt%rhoEdge= spread(prm%rho0,2,NofMyPhase)
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dotState(instance)%rhoEdge=>plasticState(phase)%dotState(startIndex:endIndex,:)
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dot%rhoEdge=>plasticState(p)%dotState(startIndex:endIndex,:)
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plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolRho
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startIndex=endIndex+1_pInt
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endIndex=endIndex+prm%totalNslip
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stt%rhoEdgeDip=>plasticState(phase)%state(startIndex:endIndex,:)
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stt%rhoEdgeDip=>plasticState(p)%state(startIndex:endIndex,:)
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stt%rhoEdgeDip= spread(prm%rhoDip0,2,NofMyPhase)
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dotState(instance)%rhoEdgeDip=>plasticState(phase)%dotState(startIndex:endIndex,:)
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dot%rhoEdgeDip=>plasticState(p)%dotState(startIndex:endIndex,:)
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plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolRho
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startIndex=endIndex+1_pInt
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endIndex=endIndex+prm%totalNslip
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stt%accshear_slip=>plasticState(phase)%state(startIndex:endIndex,:)
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dotState(instance)%accshear_slip=>plasticState(phase)%dotState(startIndex:endIndex,:)
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stt%accshear_slip=>plasticState(p)%state(startIndex:endIndex,:)
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dot%accshear_slip=>plasticState(p)%dotState(startIndex:endIndex,:)
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plasticState(p)%aTolState(startIndex:endIndex) = 1e6_pReal
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dotState(instance)%whole => plasticState(phase)%dotState
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dot%whole => plasticState(p)%dotState
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allocate(mse%mfp(prm%totalNslip,NofMyPhase),source=0.0_pReal)
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allocate(mse%threshold_stress(prm%totalNslip,NofMyPhase),source=0.0_pReal)
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allocate(dst%mfp(prm%totalNslip,NofMyPhase),source=0.0_pReal)
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allocate(dst%threshold_stress(prm%totalNslip,NofMyPhase),source=0.0_pReal)
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plasticState(p)%state0 = plasticState(p)%state ! ToDo: this could be done centrally
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@ -404,12 +398,12 @@ do p = 1_pInt, size(phase_plasticityInstance)
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maxval(plastic_disloUCLA_totalNslip),maxNinstance), &
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source=0.0_pReal)
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do p = 1_pInt, size(phase_plasticityInstance)
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do p = 1_pInt, size(phase_plasticityInstance)
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if (phase_plasticity(p) /= PLASTICITY_DISLOUCLA_ID) cycle
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associate(prm => param(phase_plasticityInstance(p)), &
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dot => dotState(phase_plasticityInstance(p)), &
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stt => state(phase_plasticityInstance(p)), &
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mse => microstructure(phase_plasticityInstance(p)))
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dst => dependentState(phase_plasticityInstance(p)))
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mySlipFamilies: do f = 1_pInt,size(prm%Nslip,1)
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index_myFamily = sum(prm%Nslip(1:f-1_pInt)) ! index in truncated slip system list
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@ -419,7 +413,7 @@ do p = 1_pInt, size(phase_plasticityInstance)
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otherSlipFamilies: do o = 1_pInt,size(prm%Nslip,1)
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index_otherFamily = sum(prm%Nslip(1:o-1_pInt))
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otherSlipSystems: do k = 1_pInt,prm%Nslip(o)
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plastic_disloUCLA_forestProjectionEdge(index_myFamily+j,index_otherFamily+k,instance) = &
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plastic_disloUCLA_forestProjectionEdge(index_myFamily+j,index_otherFamily+k,phase_plasticityInstance(p)) = &
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abs(math_mul3x3(lattice_sn(:,sum(lattice_NslipSystem(1:f-1,p))+j,p), &
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lattice_st(:,sum(lattice_NslipSystem(1:o-1,p))+k,p)))
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enddo otherSlipSystems; enddo otherSlipFamilies
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@ -436,31 +430,28 @@ end subroutine plastic_disloUCLA_init
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!--------------------------------------------------------------------------------------------------
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!> @brief calculates derived quantities from state
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!--------------------------------------------------------------------------------------------------
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subroutine plastic_disloUCLA_dependentState(temperature,instance,of)
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subroutine plastic_disloUCLA_dependentState(instance,of)
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implicit none
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integer(pInt), intent(in) :: instance, of
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real(pReal), intent(in) :: &
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temperature !< temperature at IP
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integer(pInt) :: &
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s
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i
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real(pReal), dimension(param(instance)%totalNslip) :: &
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invLambdaSlip ! 1/mean free distance between 2 forest dislocations seen by a moving dislocation
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associate(prm => param(instance), stt => state(instance),mse => microstructure(instance))
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associate(prm => param(instance), stt => state(instance),dst => dependentState(instance))
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forall (s = 1_pInt:prm%totalNslip) &
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invLambdaSlip(s) = sqrt(dot_product(stt%rhoEdge(:,of)+stt%rhoEdgeDip(:,of), &
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plastic_disloUCLA_forestProjectionEdge(:,s,instance))) &
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/ prm%Clambda(s)
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mse%mfp(:,of) = prm%grainSize/(1.0_pReal+prm%grainSize*invLambdaSlip)
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forall (s = 1_pInt:prm%totalNslip) &
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mse%threshold_stress(s,of) = prm%mu*prm%burgers(s) &
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forall (i = 1_pInt:prm%totalNslip)
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invLambdaSlip(i) = sqrt(dot_product(stt%rhoEdge(:,of)+stt%rhoEdgeDip(:,of), &
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plastic_disloUCLA_forestProjectionEdge(:,i,instance))) &
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/ prm%Clambda(i)
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dst%threshold_stress(i,of) = prm%mu*prm%burgers(i) &
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* sqrt(dot_product(stt%rhoEdge(:,of)+stt%rhoEdgeDip(:,of), &
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prm%interaction_SlipSlip(s,:)))
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prm%interaction_SlipSlip(i,:)))
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end forall
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dst%mfp(:,of) = prm%grainSize/(1.0_pReal+prm%grainSize*invLambdaSlip)
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end associate
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@ -534,7 +525,7 @@ subroutine plastic_disloUCLA_dotState(Mp,Temperature,instance,of)
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dgdot_dtauslip_neg,dgdot_dtauslip_pos,DotRhoDipFormation, ClimbVelocity, EdgeDipDistance, &
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DotRhoEdgeDipClimb
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associate(prm => param(instance), stt => state(instance),dot => dotState(instance), mse => microstructure(instance))
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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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gdot_slip_pos,dgdot_dtauslip_pos,tau_slip_pos,gdot_slip_neg,dgdot_dtauslip_neg,tau_slip_neg)
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@ -545,13 +536,13 @@ subroutine plastic_disloUCLA_dotState(Mp,Temperature,instance,of)
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VacancyDiffusion = prm%D0*exp(-prm%Qsd/(kB*Temperature))
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where(dEq0(tau_slip_pos))
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EdgeDipDistance = mse%mfp(:,of) !ToDo MD@FR: correct? was not handled properly before
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EdgeDipDistance = dst%mfp(:,of) !ToDo MD@FR: correct? was not handled properly before
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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%burgers)/(16.0_pReal*PI*abs(tau_slip_pos)), &
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prm%minDipDistance, & ! lower limit
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mse%mfp(:,of)) ! upper limit
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dst%mfp(:,of)) ! upper limit
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DotRhoDipFormation = merge(((2.0_pReal*EdgeDipDistance)/prm%burgers)* stt%rhoEdge(:,of)*abs(dot%accshear_slip(:,of)), &
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0.0_pReal, &
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prm%dipoleformation)
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@ -560,7 +551,7 @@ subroutine plastic_disloUCLA_dotState(Mp,Temperature,instance,of)
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DotRhoEdgeDipClimb = (4.0_pReal*ClimbVelocity*stt%rhoEdgeDip(:,of))/(EdgeDipDistance-prm%minDipDistance)
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end where
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dot%rhoEdge(:,of) = abs(dot%accshear_slip(:,of))/(prm%burgers*mse%mfp(:,of)) & ! multiplication
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dot%rhoEdge(:,of) = abs(dot%accshear_slip(:,of))/(prm%burgers*dst%mfp(:,of)) & ! multiplication
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- DotRhoDipFormation &
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- ((2.0_pReal*prm%minDipDistance)/prm%burgers)*stt%rhoEdge(:,of)*abs(dot%accshear_slip(:,of)) !* Spontaneous annihilation of 2 single edge dislocations
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@ -601,7 +592,7 @@ function plastic_disloUCLA_postResults(Mp,Temperature,instance,of) result(postRe
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gdot_slip_pos,dgdot_dtauslip_pos,tau_slip_pos, &
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gdot_slip_neg,dgdot_dtauslip_neg,tau_slip_neg
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associate( prm => param(instance), stt => state(instance), mse => microstructure(instance))
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associate( prm => param(instance), stt => state(instance), dst => dependentState(instance))
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postResults = 0.0_pReal
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c = 0_pInt
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@ -631,13 +622,13 @@ function plastic_disloUCLA_postResults(Mp,Temperature,instance,of) result(postRe
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case (accumulatedshear_ID)
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postResults(c+1_pInt:c+prm%totalNslip) = stt%accshear_slip(1_pInt:prm%totalNslip, of)
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case (mfp_ID)
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postResults(c+1_pInt:c+prm%totalNslip) = mse%mfp(1_pInt:prm%totalNslip, of)
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postResults(c+1_pInt:c+prm%totalNslip) = dst%mfp(1_pInt:prm%totalNslip, of)
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case (resolvedstress_ID)
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do i = 1_pInt, prm%totalNslip
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postResults(c+i) =math_mul33xx33(Mp,prm%nonSchmid_pos(1:3,1:3,i))
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enddo
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case (thresholdstress_ID)
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postResults(c+1_pInt:c+prm%totalNslip) = mse%threshold_stress(1_pInt:prm%totalNslip,of)
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postResults(c+1_pInt:c+prm%totalNslip) = dst%threshold_stress(1_pInt:prm%totalNslip,of)
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case (dipoleDistance_ID)
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do i = 1_pInt, prm%totalNslip
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if (dNeq0(abs(math_mul33xx33(Mp,prm%nonSchmid_pos(1:3,1:3,i))))) then
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@ -646,7 +637,7 @@ function plastic_disloUCLA_postResults(Mp,Temperature,instance,of) result(postRe
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else
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postResults(c+i) = huge(1.0_pReal)
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endif
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postResults(c+i)=min(postResults(c+i),mse%mfp(i,of))
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postResults(c+i)=min(postResults(c+i),dst%mfp(i,of))
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enddo
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end select
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|
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|
@ -684,50 +675,45 @@ instance,of
|
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dvel_slip, vel_slip
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real(pReal), intent(out), dimension(plastic_disloUCLA_totalNslip(instance)) :: &
|
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gdot_slip_pos,dgdot_dtauslip_pos,tau_slip_pos,gdot_slip_neg,dgdot_dtauslip_neg,tau_slip_neg
|
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associate(prm => param(instance), stt => state(instance),mse => microstructure(instance))
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||||
|
||||
|
||||
|
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gdot_slip_pos = 0.0_pReal
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gdot_slip_neg = 0.0_pReal
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dgdot_dtauslip_pos = 0.0_pReal
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||||
dgdot_dtauslip_neg = 0.0_pReal
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associate(prm => param(instance), stt => state(instance),dst => dependentState(instance))
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|
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|
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do j = 1_pInt, prm%totalNslip
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!* Boltzmann ratio
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BoltzmannRatio = prm%H0kp(j)/(kB*Temperature)
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!* Initial shear rates
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DotGamma0 = stt%rhoEdge(j,of)*prm%burgers(j)*prm%v0(j)
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!* Resolved shear stress on slip system
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tau_slip_pos(j) = math_mul33xx33(Mp,prm%nonSchmid_pos(1:3,1:3,j))
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tau_slip_neg(j) = math_mul33xx33(Mp,prm%nonSchmid_neg(1:3,1:3,j))
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significantPositiveTau: if((abs(tau_slip_pos(j))-mse%threshold_stress(j, of)) > tol_math_check) then
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!* Stress ratio
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stressRatio = ((abs(tau_slip_pos(j))-mse%threshold_stress(j, of))/&
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(prm%solidSolutionStrength+&
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prm%tau_Peierls(j)))
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significantPositiveTau: if((abs(tau_slip_pos(j))-dst%threshold_stress(j, of)) > tol_math_check) then
|
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|
||||
stressRatio = ((abs(tau_slip_pos(j))-dst%threshold_stress(j, of)) &
|
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/ (prm%solidSolutionStrength+prm%tau_Peierls(j)))
|
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stressRatio_p = stressRatio** prm%p(j)
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stressRatio_pminus1 = stressRatio**(prm%p(j)-1.0_pReal)
|
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!* Shear rates due to slip
|
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vel_slip = 2.0_pReal*prm%burgers(j) &
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* prm%kink_height(j) * prm%omega(j) &
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* ( mse%mfp(j,of) - prm%kink_width(j) ) &
|
||||
|
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vel_slip = 2.0_pReal*prm%burgers(j) * prm%kink_height(j) * prm%omega(j) &
|
||||
* ( dst%mfp(j,of) - prm%kink_width(j) ) &
|
||||
* (tau_slip_pos(j) &
|
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* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) ) &
|
||||
/ ( &
|
||||
2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_pos(j) &
|
||||
+ prm%omega(j) * prm%B(j) &
|
||||
*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
*(( dst%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
)
|
||||
|
||||
gdot_slip_pos(j) = DotGamma0 * sign(vel_slip,tau_slip_pos(j))
|
||||
!* Derivatives of shear rates
|
||||
|
||||
dvel_slip = &
|
||||
2.0_pReal*prm%burgers(j) &
|
||||
* prm%kink_height(j) * prm%omega(j) &
|
||||
* ( mse%mfp(j,of) - prm%kink_width(j) ) &
|
||||
dvel_slip = 2.0_pReal*prm%burgers(j) * prm%kink_height(j) * prm%omega(j) &
|
||||
* ( dst%mfp(j,of) - prm%kink_width(j) ) &
|
||||
* ( &
|
||||
(exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
+ tau_slip_pos(j) &
|
||||
|
@ -739,14 +725,14 @@ instance,of
|
|||
) &
|
||||
* (2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_pos(j) &
|
||||
+ prm%omega(j) * prm%B(j) &
|
||||
*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
*(( dst%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
) &
|
||||
- (tau_slip_pos(j) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) ) &
|
||||
* (2.0_pReal*(prm%burgers(j)**2.0_pReal) &
|
||||
+ prm%omega(j) * prm%B(j) &
|
||||
*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
*(( dst%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)))&
|
||||
*BoltzmannRatio*prm%p(j)&
|
||||
*prm%q(j)/&
|
||||
|
@ -758,7 +744,7 @@ instance,of
|
|||
( &
|
||||
2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_pos(j) &
|
||||
+ prm%omega(j) * prm%B(j) &
|
||||
*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
*(( dst%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
)**2.0_pReal &
|
||||
)
|
||||
|
@ -768,32 +754,28 @@ instance,of
|
|||
endif significantPositiveTau
|
||||
|
||||
|
||||
significantNegativeTau: if((abs(tau_slip_neg(j))-mse%threshold_stress(j, of)) > tol_math_check) then
|
||||
!* Stress ratios
|
||||
stressRatio = ((abs(tau_slip_neg(j))-mse%threshold_stress(j, of))/&
|
||||
(prm%solidSolutionStrength+&
|
||||
prm%tau_Peierls(j)))
|
||||
significantNegativeTau: if((abs(tau_slip_neg(j))-dst%threshold_stress(j, of)) > tol_math_check) then
|
||||
|
||||
stressRatio = ((abs(tau_slip_neg(j))-dst%threshold_stress(j, of)) &
|
||||
/ (prm%solidSolutionStrength+prm%tau_Peierls(j)))
|
||||
stressRatio_p = stressRatio** prm%p(j)
|
||||
stressRatio_pminus1 = stressRatio**(prm%p(j)-1.0_pReal)
|
||||
!* Shear rates due to slip
|
||||
vel_slip = 2.0_pReal*prm%burgers(j) &
|
||||
* prm%kink_height(j) * prm%omega(j) &
|
||||
* ( mse%mfp(j,of) - prm%kink_width(j) ) &
|
||||
|
||||
vel_slip = 2.0_pReal*prm%burgers(j) * prm%kink_height(j) * prm%omega(j) &
|
||||
* ( dst%mfp(j,of) - prm%kink_width(j) ) &
|
||||
* (tau_slip_neg(j) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) ) &
|
||||
/ ( &
|
||||
2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_neg(j) &
|
||||
+ prm%omega(j) * prm%B(j) &
|
||||
*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
*(( dst%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
)
|
||||
|
||||
gdot_slip_neg(j) = DotGamma0 * sign(vel_slip,tau_slip_neg(j))
|
||||
!* Derivatives of shear rates
|
||||
dvel_slip = &
|
||||
2.0_pReal*prm%burgers(j) &
|
||||
* prm%kink_height(j) * prm%omega(j) &
|
||||
* ( mse%mfp(j,of) - prm%kink_width(j) ) &
|
||||
|
||||
dvel_slip = 2.0_pReal*prm%burgers(j) * prm%kink_height(j) * prm%omega(j) &
|
||||
* ( dst%mfp(j,of) - prm%kink_width(j) ) &
|
||||
* ( &
|
||||
(exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
+ tau_slip_neg(j) &
|
||||
|
@ -805,14 +787,14 @@ instance,of
|
|||
) &
|
||||
* (2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_neg(j) &
|
||||
+ prm%omega(j) * prm%B(j) &
|
||||
*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
*(( dst%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
) &
|
||||
- (tau_slip_neg(j) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) ) &
|
||||
* (2.0_pReal*(prm%burgers(j)**2.0_pReal) &
|
||||
+ prm%omega(j) * prm%B(j) &
|
||||
*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
*(( dst%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* (abs(exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)))&
|
||||
*BoltzmannRatio*prm%p(j)&
|
||||
*prm%q(j)/&
|
||||
|
@ -824,7 +806,7 @@ instance,of
|
|||
( &
|
||||
2.0_pReal*(prm%burgers(j)**2.0_pReal)*tau_slip_neg(j) &
|
||||
+ prm%omega(j) * prm%B(j) &
|
||||
*(( mse%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
*(( dst%mfp(j,of) - prm%kink_width(j) )**2.0_pReal) &
|
||||
* exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q(j)) &
|
||||
)**2.0_pReal &
|
||||
)
|
||||
|
|
Loading…
Reference in New Issue