started to introduce state for phase transformation (adding one set of additional basic states)
This commit is contained in:
Martin Diehl
parent
dafccad7f5
commit
0ecdd2692b
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@ -30,6 +30,10 @@ module constitutive_dislotwin
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CONSTITUTIVE_DISLOTWIN_listBasicTwinStates = &
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['twinFraction', 'accsheartwin']
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character(len=12), dimension(1), parameter, private :: &
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CONSTITUTIVE_DISLOTWIN_listBasicTransStates = &
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['transFraction']
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character(len=17), dimension(4), parameter, private :: &
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CONSTITUTIVE_DISLOTWIN_listDependentSlipStates = &
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['invLambdaSlip ', 'invLambdaSlipTwin', 'meanFreePathSlip ', 'tauSlipThreshold ']
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@ -212,7 +216,7 @@ subroutine constitutive_dislotwin_init(fileUnit)
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integer(pInt), parameter :: MAXNCHUNKS = LATTICE_maxNinteraction + 1_pInt
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integer(pInt), dimension(1+2*MAXNCHUNKS) :: positions
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integer(pInt) :: maxNinstance,mySize=0_pInt,phase,maxTotalNslip,maxTotalNtwin,&
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f,instance,j,k,l,m,n,o,p,q,r,s,ns,nt, &
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f,instance,j,k,l,m,n,o,p,q,r,s,ns,nt,nr, &
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Nchunks_SlipSlip, Nchunks_SlipTwin, Nchunks_TwinSlip, Nchunks_TwinTwin, &
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Nchunks_SlipFamilies, Nchunks_TwinFamilies, Nchunks_TransFamilies, &
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index_myFamily, index_otherFamily
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@ -706,6 +710,7 @@ subroutine constitutive_dislotwin_init(fileUnit)
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ns = constitutive_dislotwin_totalNslip(instance)
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nt = constitutive_dislotwin_totalNtwin(instance)
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nr = constitutive_dislotwin_totalNtrans(instance)
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!--------------------------------------------------------------------------------------------------
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! Determine size of postResults array
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@ -749,7 +754,8 @@ subroutine constitutive_dislotwin_init(fileUnit)
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!--------------------------------------------------------------------------------------------------
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! allocate state arrays
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sizeDotState = int(size(CONSTITUTIVE_DISLOTWIN_listBasicSlipStates),pInt) * ns &
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+ int(size(CONSTITUTIVE_DISLOTWIN_listBasicTwinStates),pInt) * nt
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+ int(size(CONSTITUTIVE_DISLOTWIN_listBasicTwinStates),pInt) * nt &
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+ int(size(CONSTITUTIVE_DISLOTWIN_listBasicTransStates),pInt) * nr
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sizeState = sizeDotState &
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+ int(size(CONSTITUTIVE_DISLOTWIN_listDependentSlipStates),pInt) * ns &
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+ int(size(CONSTITUTIVE_DISLOTWIN_listDependentTwinStates),pInt) * nt
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@ -913,7 +919,7 @@ subroutine constitutive_dislotwin_stateInit(ph,instance)
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real(pReal), dimension(plasticState(ph)%sizeState) :: tempState
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integer(pInt) :: i,j,f,ns,nt, index_myFamily
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integer(pInt) :: i,j,f,ns,nt,nr, index_myFamily
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real(pReal), dimension(constitutive_dislotwin_totalNslip(instance)) :: &
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rhoEdge0, &
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rhoEdgeDip0, &
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@ -925,6 +931,7 @@ subroutine constitutive_dislotwin_stateInit(ph,instance)
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tempState = 0.0_pReal
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ns = constitutive_dislotwin_totalNslip(instance)
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nt = constitutive_dislotwin_totalNtwin(instance)
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nr = constitutive_dislotwin_totalNtrans(instance)
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!--------------------------------------------------------------------------------------------------
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! initialize basic slip state variables
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@ -958,7 +965,7 @@ subroutine constitutive_dislotwin_stateInit(ph,instance)
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lattice_mu(ph)*constitutive_dislotwin_burgersPerSlipSystem(i,instance) * &
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sqrt(dot_product((rhoEdge0+rhoEdgeDip0),constitutive_dislotwin_interactionMatrix_SlipSlip(i,1:ns,instance)))
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tempState(6_pInt*ns+4_pInt*nt+1:7_pInt*ns+4_pInt*nt) = tauSlipThreshold0
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tempState(6_pInt*ns+4_pInt*nt+nr+1:7_pInt*ns+4_pInt*nt+nr) = tauSlipThreshold0
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@ -966,12 +973,12 @@ subroutine constitutive_dislotwin_stateInit(ph,instance)
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! initialize dependent twin microstructural variables
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forall (j = 1_pInt:nt) &
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MeanFreePathTwin0(j) = constitutive_dislotwin_GrainSize(instance)
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tempState(6_pInt*ns+3_pInt*nt+1_pInt:6_pInt*ns+4_pInt*nt) = MeanFreePathTwin0
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tempState(6_pInt*ns+3_pInt*nt+nr+1_pInt:6_pInt*ns+4_pInt*nt+nr) = MeanFreePathTwin0
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forall (j = 1_pInt:nt) &
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TwinVolume0(j) = &
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(pi/4.0_pReal)*constitutive_dislotwin_twinsizePerTwinSystem(j,instance)*MeanFreePathTwin0(j)**(2.0_pReal)
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tempState(7_pInt*ns+5_pInt*nt+1_pInt:7_pInt*ns+6_pInt*nt) = TwinVolume0
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tempState(7_pInt*ns+5_pInt*nt+nr+1_pInt:7_pInt*ns+6_pInt*nt+nr) = TwinVolume0
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plasticState(ph)%state0 = spread(tempState,2,size(plasticState(ph)%state(1,:)))
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@ -989,26 +996,31 @@ subroutine constitutive_dislotwin_aTolState(ph,instance)
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ph, &
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instance ! number specifying the current instance of the plasticity
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integer(pInt) :: ns, nt, nr
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ns = constitutive_dislotwin_totalNslip(instance)
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nt = constitutive_dislotwin_totalNtwin(instance)
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nr = constitutive_dislotwin_totalNtrans(instance)
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! Tolerance state for dislocation densities
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plasticState(ph)%aTolState(1_pInt:2_pInt*constitutive_dislotwin_totalNslip(instance)) = &
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constitutive_dislotwin_aTolRho(instance)
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plasticState(ph)%aTolState(1_pInt: &
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2_pInt*ns) = constitutive_dislotwin_aTolRho(instance)
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! Tolerance state for accumulated shear due to slip
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plasticState(ph)%aTolState(2_pInt*constitutive_dislotwin_totalNslip(instance)+1_pInt: &
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3_pInt*constitutive_dislotwin_totalNslip(instance))=1e6_pReal
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plasticState(ph)%aTolState(2_pInt*ns+1_pInt: &
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3_pInt*ns)=1.0e6_pReal
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! Tolerance state for twin volume fraction
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plasticState(ph)%aTolState(3_pInt*constitutive_dislotwin_totalNslip(instance)+1_pInt: &
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3_pInt*constitutive_dislotwin_totalNslip(instance)+&
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constitutive_dislotwin_totalNtwin(instance)) = &
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constitutive_dislotwin_aTolTwinFrac(instance)
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plasticState(ph)%aTolState(3_pInt*ns+1_pInt: &
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3_pInt*ns+nt) = constitutive_dislotwin_aTolTwinFrac(instance)
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! Tolerance state for accumulated shear due to twin
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plasticState(ph)%aTolState(3_pInt*constitutive_dislotwin_totalNslip(instance)+ &
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constitutive_dislotwin_totalNtwin(instance)+1_pInt: &
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3_pInt*constitutive_dislotwin_totalNslip(instance)+ &
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2_pInt*constitutive_dislotwin_totalNtwin(instance)) = 1e6_pReal
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plasticState(ph)%aTolState(3_pInt*ns+nt+1_pInt: &
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3_pInt*ns+2_pInt*nt) = 1.0e6_pReal
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! Tolerance state for transformation volume fraction
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plasticState(ph)%aTolState(3_pInt*ns+2_pInt*nt+1_pInt: &
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3_pInt*ns+2_pInt*nt+nr) = 1.0e6_pReal !Todo
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end subroutine constitutive_dislotwin_aTolState
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@ -1097,7 +1109,7 @@ subroutine constitutive_dislotwin_microstructure(temperature,ipc,ip,el)
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integer(pInt) :: &
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instance, &
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ns,nt,s,t, &
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ns,nt,nr,s,t, &
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ph, &
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of
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real(pReal) :: &
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@ -1110,19 +1122,23 @@ subroutine constitutive_dislotwin_microstructure(temperature,ipc,ip,el)
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instance = phase_plasticityInstance(ph)
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ns = constitutive_dislotwin_totalNslip(instance)
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nt = constitutive_dislotwin_totalNtwin(instance)
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nr = constitutive_dislotwin_totalNtrans(instance)
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!BASIC STATES
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!* State: 1 : ns rho_edge
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!* State: ns+1 : 2*ns rho_dipole
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!* State: 2*ns+1 : 3*ns accumulated shear due to slip
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!* State: 3*ns+1 : 3*ns+nt f
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!* State: 3*ns+nt+1 : 3*ns+2*nt accumulated shear due to twin
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!* State: 3*ns+2*nt+1 : 4*ns+2*nt 1/lambda_slip
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!* State: 4*ns+2*nt+1 : 5*ns+2*nt 1/lambda_sliptwin
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!* State: 5*ns+2*nt+1 : 5*ns+3*nt 1/lambda_twin
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!* State: 5*ns+3*nt+1 : 6*ns+3*nt mfp_slip
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!* State: 6*ns+3*nt+1 : 6*ns+4*nt mfp_twin
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!* State: 6*ns+4*nt+1 : 7*ns+4*nt threshold_stress_slip
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!* State: 7*ns+4*nt+1 : 7*ns+5*nt threshold_stress_twin
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!* State: 7*ns+5*nt+1 : 7*ns+6*nt twin volume
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!* State: 3*ns+2*nt+1 : 3*ns+2*nt+nr transformed volume fraction
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!DEPENDENT STATES
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!* State: 3*ns+2*nt+nr+1 : 4*ns+2*nt+nr 1/lambda_slip
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!* State: 4*ns+2*nt+nr+1 : 5*ns+2*nt+nr 1/lambda_sliptwin
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!* State: 5*ns+2*nt+nr+1 : 5*ns+3*nt+nr 1/lambda_twin
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!* State: 5*ns+3*nt+nr+1 : 6*ns+3*nt+nr mfp_slip
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!* State: 6*ns+3*nt+nr+1 : 6*ns+4*nt+nr mfp_twin
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!* State: 6*ns+4*nt+nr+1 : 7*ns+4*nt+nr threshold_stress_slip
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!* State: 7*ns+4*nt+nr+1 : 7*ns+5*nt+nr threshold_stress_twin
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!* State: 7*ns+5*nt+nr+1 : 7*ns+6*nt+nr twin volume
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!* Total twin volume fraction
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sumf = sum(plasticState(ph)%state((3*ns+1):(3*ns+nt), of)) ! safe for nt == 0
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@ -1138,54 +1154,54 @@ subroutine constitutive_dislotwin_microstructure(temperature,ipc,ip,el)
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!* 1/mean free distance between 2 forest dislocations seen by a moving dislocation
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forall (s = 1_pInt:ns) &
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plasticState(ph)%state(3_pInt*ns+2_pInt*nt+s, of) = &
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plasticState(ph)%state(3_pInt*ns+2_pInt*nt+nr+s, of) = &
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sqrt(dot_product((plasticState(ph)%state(1:ns,of)+plasticState(ph)%state(ns+1_pInt:2_pInt*ns,of)),&
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constitutive_dislotwin_forestProjectionEdge(1:ns,s,instance)))/ &
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constitutive_dislotwin_CLambdaSlipPerSlipSystem(s,instance)
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!* 1/mean free distance between 2 twin stacks from different systems seen by a moving dislocation
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!$OMP CRITICAL (evilmatmul)
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plasticState(ph)%state((4_pInt*ns+2_pInt*nt+1_pInt):(5_pInt*ns+2_pInt*nt), of) = 0.0_pReal
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plasticState(ph)%state((4_pInt*ns+2_pInt*nt+nr+1_pInt):(5_pInt*ns+2_pInt*nt+nr), of) = 0.0_pReal
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if (nt > 0_pInt .and. ns > 0_pInt) &
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plasticState(ph)%state((4_pInt*ns+2_pInt*nt+1):(5_pInt*ns+2_pInt*nt), of) = &
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plasticState(ph)%state((4_pInt*ns+2_pInt*nt+nr+1):(5_pInt*ns+2_pInt*nt+nr), of) = &
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matmul(constitutive_dislotwin_interactionMatrix_SlipTwin(1:ns,1:nt,instance),fOverStacksize(1:nt))/(1.0_pReal-sumf)
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!$OMP END CRITICAL (evilmatmul)
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!* 1/mean free distance between 2 twin stacks from different systems seen by a growing twin
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!$OMP CRITICAL (evilmatmul)
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if (nt > 0_pInt) &
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plasticState(ph)%state((5_pInt*ns+2_pInt*nt+1_pInt):(5_pInt*ns+3_pInt*nt), of) = &
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plasticState(ph)%state((5_pInt*ns+2_pInt*nt+nr+1_pInt):(5_pInt*ns+3_pInt*nt+nr), of) = &
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matmul(constitutive_dislotwin_interactionMatrix_TwinTwin(1:nt,1:nt,instance),fOverStacksize(1:nt))/(1.0_pReal-sumf)
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!$OMP END CRITICAL (evilmatmul)
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!* mean free path between 2 obstacles seen by a moving dislocation
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do s = 1_pInt,ns
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if (nt > 0_pInt) then
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plasticState(ph)%state(5_pInt*ns+3_pInt*nt+s, of) = &
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plasticState(ph)%state(5_pInt*ns+3_pInt*nt+nr+s, of) = &
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constitutive_dislotwin_GrainSize(instance)/(1.0_pReal+constitutive_dislotwin_GrainSize(instance)*&
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(plasticState(ph)%state(3_pInt*ns+2_pInt*nt+s, of)+plasticState(ph)%state(4_pInt*ns+2_pInt*nt+s, of)))
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(plasticState(ph)%state(3_pInt*ns+2_pInt*nt+nr+s, of)+plasticState(ph)%state(4_pInt*ns+2_pInt*nt+nr+s, of)))
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else
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plasticState(ph)%state(5_pInt*ns+s, of) = &
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plasticState(ph)%state(5_pInt*ns+nr+s, of) = &
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constitutive_dislotwin_GrainSize(instance)/&
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(1.0_pReal+constitutive_dislotwin_GrainSize(instance)*(plasticState(ph)%state(3_pInt*ns+s, of)))
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(1.0_pReal+constitutive_dislotwin_GrainSize(instance)*(plasticState(ph)%state(3_pInt*ns+nr+s, of)))
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endif
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enddo
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!* mean free path between 2 obstacles seen by a growing twin
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forall (t = 1_pInt:nt) &
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plasticState(ph)%state(6_pInt*ns+3_pInt*nt+t, of) = &
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plasticState(ph)%state(6_pInt*ns+3_pInt*nt+nr+t, of) = &
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(constitutive_dislotwin_Cmfptwin(instance)*constitutive_dislotwin_GrainSize(instance))/&
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(1.0_pReal+constitutive_dislotwin_GrainSize(instance)*plasticState(ph)%state(5_pInt*ns+2_pInt*nt+t, of))
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(1.0_pReal+constitutive_dislotwin_GrainSize(instance)*plasticState(ph)%state(5_pInt*ns+2_pInt*nt+nr+t, of))
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!* threshold stress for dislocation motion
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forall (s = 1_pInt:ns) &
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plasticState(ph)%state(6_pInt*ns+4_pInt*nt+s, of) = &
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plasticState(ph)%state(6_pInt*ns+4_pInt*nt+nr+s, of) = &
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lattice_mu(ph)*constitutive_dislotwin_burgersPerSlipSystem(s,instance)*&
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sqrt(dot_product((plasticState(ph)%state(1:ns, of)+plasticState(ph)%state(ns+1_pInt:2_pInt*ns, of)),&
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constitutive_dislotwin_interactionMatrix_SlipSlip(s,1:ns,instance)))
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!* threshold stress for growing twin
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forall (t = 1_pInt:nt) &
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plasticState(ph)%state(7_pInt*ns+4_pInt*nt+t, of) = &
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plasticState(ph)%state(7_pInt*ns+4_pInt*nt+nr+t, of) = &
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constitutive_dislotwin_Cthresholdtwin(instance)*&
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(sfe/(3.0_pReal*constitutive_dislotwin_burgersPerTwinSystem(t,instance))+&
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3.0_pReal*constitutive_dislotwin_burgersPerTwinSystem(t,instance)*lattice_mu(ph)/&
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@ -1193,8 +1209,8 @@ subroutine constitutive_dislotwin_microstructure(temperature,ipc,ip,el)
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!* final twin volume after growth
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forall (t = 1_pInt:nt) &
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plasticState(ph)%state(7_pInt*ns+5_pInt*nt+t, of) = &
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(pi/4.0_pReal)*constitutive_dislotwin_twinsizePerTwinSystem(t,instance)*plasticState(ph)%state(6*ns+3*nt+t, of)**(2.0_pReal)
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plasticState(ph)%state(7_pInt*ns+5_pInt*nt+nr+t, of) = &
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(pi/4.0_pReal)*constitutive_dislotwin_twinsizePerTwinSystem(t,instance)*plasticState(ph)%state(6*ns+3*nt+nr+t, of)**(2.0_pReal)
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!* equilibrium seperation of partial dislocations
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do t = 1_pInt,nt
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