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# now $ID aware 

# LF as line separation and some tidy up
This commit is contained in:
Philip Eisenlohr 2009-10-12 16:26:16 +00:00
parent 2c06cad4d0
commit 7d05845d5d
1 changed files with 467 additions and 419 deletions
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code/constitutive_dislotwin.f90
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@ -1,4 +1,4 @@
!* $Id: constitutive_dislotwin.f90 412 2009-09-18 15:37:14Z MPIE\c.kords $
!* $Id$
!************************************
!* Module: CONSTITUTIVE *
!************************************
@ -12,16 +12,16 @@ implicit none
!* Lists of states and physical parameters
character(len=*), parameter :: constitutive_dislotwin_label = 'dislotwin'
character(len=18), dimension(2), parameter:: constitutive_dislotwin_listBasicSlipStates = (/'rhoEdge ', &
'rhoEdgeDip'/)
'rhoEdgeDip'/)
character(len=18), dimension(1), parameter:: constitutive_dislotwin_listBasicTwinStates = (/'twinFraction'/)
character(len=18), dimension(4), parameter:: constitutive_dislotwin_listDependentSlipStates =(/'invLambdaSlip ', &
'invLambdaSlipTwin', &
'meanFreePathSlip ', &
'tauSlipThreshold '/)
'invLambdaSlipTwin', &
'meanFreePathSlip ', &
'tauSlipThreshold '/)
character(len=18), dimension(4), parameter:: constitutive_dislotwin_listDependentTwinStates =(/'invLambdaTwin ', &
'meanFreePathTwin', &
'tauTwinThreshold', &
'twinVolume '/)
'meanFreePathTwin', &
'tauTwinThreshold', &
'twinVolume '/)
real(pReal), parameter :: kB = 1.38e-23_pReal ! Boltzmann constant in J/Kelvin
!* Definition of global variables
@ -78,8 +78,8 @@ real(pReal), dimension(:,:), allocatable :: constitutive_dislotwin
constitutive_dislotwin_twinsizePerTwinFamily, & ! twin thickness [m] for each twin family and instance
constitutive_dislotwin_twinsizePerTwinSystem, & ! twin thickness [m] for each twin system and instance
constitutive_dislotwin_CLambdaSlipPerSlipFamily, & ! Adj. parameter for distance between 2 forest dislocations for each slip family and instance
constitutive_dislotwin_CLambdaSlipPerSlipSystem, & ! Adj. parameter for distance between 2 forest dislocations for each slip system and instance
constitutive_dislotwin_interactionSlipSlip, & ! coefficients for slip-slip interaction for each interaction type and instance
constitutive_dislotwin_CLambdaSlipPerSlipSystem, & ! Adj. parameter for distance between 2 forest dislocations for each slip system and instance
constitutive_dislotwin_interactionSlipSlip, & ! coefficients for slip-slip interaction for each interaction type and instance
constitutive_dislotwin_interactionSlipTwin, & ! coefficients for slip-twin interaction for each interaction type and instance
constitutive_dislotwin_interactionTwinSlip, & ! coefficients for twin-slip interaction for each interaction type and instance
constitutive_dislotwin_interactionTwinTwin ! coefficients for twin-twin interaction for each interaction type and instance
@ -87,7 +87,7 @@ real(pReal), dimension(:,:,:), allocatable :: constitutive_dislotwin
constitutive_dislotwin_interactionMatrixSlipTwin, & ! interaction matrix of slip systems with twin systems for each instance
constitutive_dislotwin_interactionMatrixTwinSlip, & ! interaction matrix of twin systems with slip systems for each instance
constitutive_dislotwin_interactionMatrixTwinTwin, & ! interaction matrix of the different twin systems for each instance
constitutive_dislotwin_forestProjectionEdge ! matrix of forest projections of edge dislocations for each instance
constitutive_dislotwin_forestProjectionEdge ! matrix of forest projections of edge dislocations for each instance
CONTAINS
!****************************************
!* - constitutive_dislotwin_init
@ -122,7 +122,7 @@ character(len=1024) line
!write(6,*)
!write(6,'(a20,a20,a12)') '<<<+- constitutive_',constitutive_dislotwin_label,' init -+>>>'
!write(6,*) '$Id: constitutive_dislotwin.f90 412 2009-09-18 15:37:14Z MPIE\c.kords $'
!write(6,*) '$Id$'
!write(6,*)
maxNinstance = count(phase_constitution == constitutive_dislotwin_label)
@ -160,7 +160,6 @@ constitutive_dislotwin_slipSystemLattice = 0.0_pReal
constitutive_dislotwin_twinSystemLattice = 0.0_pReal
constitutive_dislotwin_totalNslip = 0_pInt
constitutive_dislotwin_totalNtwin = 0_pInt
allocate(constitutive_dislotwin_CoverA(maxNinstance))
allocate(constitutive_dislotwin_C11(maxNinstance))
allocate(constitutive_dislotwin_C12(maxNinstance))
@ -203,7 +202,6 @@ constitutive_dislotwin_Cthresholdtwin = 0.0_pReal
constitutive_dislotwin_relevantRho = 0.0_pReal
constitutive_dislotwin_Cslip_66 = 0.0_pReal
constitutive_dislotwin_Cslip_3333 = 0.0_pReal
allocate(constitutive_dislotwin_rhoEdge0(lattice_maxNslipFamily,maxNinstance))
allocate(constitutive_dislotwin_rhoEdgeDip0(lattice_maxNslipFamily,maxNinstance))
allocate(constitutive_dislotwin_burgersPerSlipFamily(lattice_maxNslipFamily,maxNinstance))
@ -222,7 +220,6 @@ constitutive_dislotwin_v0PerSlipFamily = 0.0_pReal
constitutive_dislotwin_Ndot0PerTwinFamily = 0.0_pReal
constitutive_dislotwin_twinsizePerTwinFamily = 0.0_pReal
constitutive_dislotwin_CLambdaSlipPerSlipFamily = 0.0_pReal
allocate(constitutive_dislotwin_interactionSlipSlip(lattice_maxNinteraction,maxNinstance))
allocate(constitutive_dislotwin_interactionSlipTwin(lattice_maxNinteraction,maxNinstance))
allocate(constitutive_dislotwin_interactionTwinSlip(lattice_maxNinteraction,maxNinstance))
@ -232,6 +229,8 @@ constitutive_dislotwin_interactionSlipTwin = 0.0_pReal
constitutive_dislotwin_interactionTwinSlip = 0.0_pReal
constitutive_dislotwin_interactionTwinTwin = 0.0_pReal
!* Readout data from material.config file
rewind(file)
line = ''
@ -272,28 +271,39 @@ do ! read thru sections of
case ('c44')
constitutive_dislotwin_C44(i) = IO_floatValue(line,positions,2)
case ('nslip')
forall (j = 1:lattice_maxNslipFamily) constitutive_dislotwin_Nslip(j,i) = IO_intValue(line,positions,1+j)
forall (j = 1:lattice_maxNslipFamily) &
constitutive_dislotwin_Nslip(j,i) = IO_intValue(line,positions,1+j)
case ('ntwin')
forall (j = 1:lattice_maxNtwinFamily) constitutive_dislotwin_Ntwin(j,i) = IO_intValue(line,positions,1+j)
forall (j = 1:lattice_maxNtwinFamily) &
constitutive_dislotwin_Ntwin(j,i) = IO_intValue(line,positions,1+j)
case ('rhoedge0')
forall (j = 1:lattice_maxNslipFamily) constitutive_dislotwin_rhoEdge0(j,i) = IO_floatValue(line,positions,1+j)
forall (j = 1:lattice_maxNslipFamily) &
constitutive_dislotwin_rhoEdge0(j,i) = IO_floatValue(line,positions,1+j)
case ('rhoedgedip0')
forall (j = 1:lattice_maxNslipFamily) constitutive_dislotwin_rhoEdgeDip0(j,i) = IO_floatValue(line,positions,1+j)
forall (j = 1:lattice_maxNslipFamily) &
constitutive_dislotwin_rhoEdgeDip0(j,i) = IO_floatValue(line,positions,1+j)
case ('slipburgers')
forall (j = 1:lattice_maxNslipFamily) constitutive_dislotwin_burgersPerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
forall (j = 1:lattice_maxNslipFamily) &
constitutive_dislotwin_burgersPerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
case ('twinburgers')
forall (j = 1:lattice_maxNtwinFamily) constitutive_dislotwin_burgersPerTwinFamily(j,i) = IO_floatValue(line,positions,1+j)
forall (j = 1:lattice_maxNtwinFamily) &
constitutive_dislotwin_burgersPerTwinFamily(j,i) = IO_floatValue(line,positions,1+j)
case ('qedge')
forall (j = 1:lattice_maxNslipFamily) constitutive_dislotwin_QedgePerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
forall (j = 1:lattice_maxNslipFamily) &
constitutive_dislotwin_QedgePerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
case ('v0')
forall (j = 1:lattice_maxNslipFamily) constitutive_dislotwin_v0PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
forall (j = 1:lattice_maxNslipFamily) &
constitutive_dislotwin_v0PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
case ('ndot0')
forall (j = 1:lattice_maxNtwinFamily) constitutive_dislotwin_Ndot0PerTwinFamily(j,i) = IO_floatValue(line,positions,1+j)
forall (j = 1:lattice_maxNtwinFamily) &
constitutive_dislotwin_Ndot0PerTwinFamily(j,i) = IO_floatValue(line,positions,1+j)
case ('twinsize')
forall (j = 1:lattice_maxNtwinFamily) constitutive_dislotwin_twinsizePerTwinFamily(j,i) = IO_floatValue(line,positions,1+j)
forall (j = 1:lattice_maxNtwinFamily) &
constitutive_dislotwin_twinsizePerTwinFamily(j,i) = IO_floatValue(line,positions,1+j)
case ('clambdaslip')
forall (j = 1:lattice_maxNslipFamily) constitutive_dislotwin_CLambdaSlipPerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
case ('grainsize')
forall (j = 1:lattice_maxNslipFamily) &
constitutive_dislotwin_CLambdaSlipPerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
case ('grainsize')
constitutive_dislotwin_GrainSize(i) = IO_floatValue(line,positions,2)
case ('maxtwinfraction')
constitutive_dislotwin_MaxTwinFraction(i) = IO_floatValue(line,positions,2)
@ -319,7 +329,7 @@ do ! read thru sections of
constitutive_dislotwin_CAtomicVolume(i) = IO_floatValue(line,positions,2)
case ('interactionslipslip')
forall (j = 1:lattice_maxNinteraction) &
constitutive_dislotwin_interactionSlipSlip(j,i) = IO_floatValue(line,positions,1+j)
constitutive_dislotwin_interactionSlipSlip(j,i) = IO_floatValue(line,positions,1+j)
case ('interactionsliptwin')
forall (j = 1:lattice_maxNinteraction) &
constitutive_dislotwin_interactionSlipTwin(j,i) = IO_floatValue(line,positions,1+j)
@ -345,16 +355,16 @@ enddo
if (sum(constitutive_dislotwin_Ntwin(:,i)) < 0_pInt) call IO_error(225) !***
do f = 1,lattice_maxNslipFamily
if (constitutive_dislotwin_Nslip(f,i) > 0_pInt) then
if (constitutive_dislotwin_rhoEdge0(f,i) < 0.0_pReal) call IO_error(220)
if (constitutive_dislotwin_rhoEdgeDip0(f,i) < 0.0_pReal) call IO_error(220)
if (constitutive_dislotwin_burgersPerSlipFamily(f,i) <= 0.0_pReal) call IO_error(221)
if (constitutive_dislotwin_v0PerSlipFamily(f,i) <= 0.0_pReal) call IO_error(226)
if (constitutive_dislotwin_rhoEdge0(f,i) < 0.0_pReal) call IO_error(220)
if (constitutive_dislotwin_rhoEdgeDip0(f,i) < 0.0_pReal) call IO_error(220)
if (constitutive_dislotwin_burgersPerSlipFamily(f,i) <= 0.0_pReal) call IO_error(221)
if (constitutive_dislotwin_v0PerSlipFamily(f,i) <= 0.0_pReal) call IO_error(226)
endif
enddo
do f = 1,lattice_maxNtwinFamily
if (constitutive_dislotwin_Nslip(f,i) > 0_pInt) then
if (constitutive_dislotwin_burgersPerTwinFamily(f,i) <= 0.0_pReal) call IO_error(221) !***
if (constitutive_dislotwin_Ndot0PerTwinFamily(f,i) < 0.0_pReal) call IO_error(226) !***
if (constitutive_dislotwin_burgersPerTwinFamily(f,i) <= 0.0_pReal) call IO_error(221) !***
if (constitutive_dislotwin_Ndot0PerTwinFamily(f,i) < 0.0_pReal) call IO_error(226) !***
endif
enddo
! if (any(constitutive_dislotwin_interactionSlipSlip(1:maxval(lattice_interactionSlipSlip(:,:,myStructure)),i) < 1.0_pReal)) call IO_error(229)
@ -375,6 +385,7 @@ enddo
maxTotalNslip = maxval(constitutive_dislotwin_totalNslip)
maxTotalNtwin = maxval(constitutive_dislotwin_totalNtwin)
allocate(constitutive_dislotwin_burgersPerSlipSystem(maxTotalNslip, maxNinstance))
allocate(constitutive_dislotwin_burgersPerTwinSystem(maxTotalNtwin, maxNinstance))
allocate(constitutive_dislotwin_QedgePerSlipSystem(maxTotalNslip, maxNinstance))
@ -439,29 +450,30 @@ do i = 1,maxNinstance
!* Determine size of postResults array
do o = 1,maxval(phase_Noutput)
select case(constitutive_dislotwin_output(o,i))
case('edge_density', &
'dipole_density', &
'shear_rate_slip', &
'mfp_slip', &
'resolved_stress_slip', &
'threshold_stress_slip' &
)
mySize = constitutive_dislotwin_totalNslip(i)
case('twin_fraction', &
'shear_rate_twin', &
'mfp_twin', &
'resolved_stress_twin', &
'threshold_stress_twin' &
)
mySize = constitutive_dislotwin_totalNtwin(i)
case default
mySize = 0_pInt
case('edge_density', &
'dipole_density', &
'shear_rate_slip', &
'mfp_slip', &
'resolved_stress_slip', &
'threshold_stress_slip' &
)
mySize = constitutive_dislotwin_totalNslip(i)
case('twin_fraction', &
'shear_rate_twin', &
'mfp_twin', &
'resolved_stress_twin', &
'threshold_stress_twin' &
)
mySize = constitutive_dislotwin_totalNtwin(i)
case default
mySize = 0_pInt
end select
if (mySize > 0_pInt) then ! any meaningful output found
constitutive_dislotwin_sizePostResult(o,i) = mySize
constitutive_dislotwin_sizePostResults(i) = constitutive_dislotwin_sizePostResults(i) + mySize
endif
if (mySize > 0_pInt) then ! any meaningful output found
constitutive_dislotwin_sizePostResult(o,i) = mySize
constitutive_dislotwin_sizePostResults(i) = constitutive_dislotwin_sizePostResults(i) + mySize
endif
enddo
!* Elasticity matrix and shear modulus according to material.config
@ -496,16 +508,16 @@ do i = 1,maxNinstance
do j=1,lattice_maxNtwinFamily
do k=1,constitutive_dislotwin_Ntwin(j,i)
do l=1,3 ; do m=1,3 ; do n=1,3 ; do o=1,3 ; do p=1,3 ; do q=1,3 ; do r=1,3 ; do s=1,3
constitutive_dislotwin_Ctwin_3333(l,m,n,o,sum(constitutive_dislotwin_Nslip(1:j-1,i))+k,i) = &
constitutive_dislotwin_Ctwin_3333(l,m,n,o,sum(constitutive_dislotwin_Nslip(1:j-1,i))+k,i) + &
constitutive_dislotwin_Cslip_3333(p,q,r,s,i)*&
lattice_Qtwin(l,p,sum(lattice_NslipSystem(1:j-1,myStructure))+k,myStructure)* &
lattice_Qtwin(m,q,sum(lattice_NslipSystem(1:j-1,myStructure))+k,myStructure)* &
lattice_Qtwin(n,r,sum(lattice_NslipSystem(1:j-1,myStructure))+k,myStructure)* &
lattice_Qtwin(o,s,sum(lattice_NslipSystem(1:j-1,myStructure))+k,myStructure)
enddo ; enddo ; enddo ; enddo ; enddo ; enddo ; enddo ; enddo
constitutive_dislotwin_Ctwin_3333(l,m,n,o,sum(constitutive_dislotwin_Nslip(1:j-1,i))+k,i) = &
constitutive_dislotwin_Ctwin_3333(l,m,n,o,sum(constitutive_dislotwin_Nslip(1:j-1,i))+k,i) + &
constitutive_dislotwin_Cslip_3333(p,q,r,s,i)*&
lattice_Qtwin(l,p,sum(lattice_NslipSystem(1:j-1,myStructure))+k,myStructure)* &
lattice_Qtwin(m,q,sum(lattice_NslipSystem(1:j-1,myStructure))+k,myStructure)* &
lattice_Qtwin(n,r,sum(lattice_NslipSystem(1:j-1,myStructure))+k,myStructure)* &
lattice_Qtwin(o,s,sum(lattice_NslipSystem(1:j-1,myStructure))+k,myStructure)
enddo ; enddo ; enddo ; enddo ; enddo ; enddo ; enddo ; enddo
constitutive_dislotwin_Ctwin_66(:,:,k,i) = math_Mandel3333to66(constitutive_dislotwin_Ctwin_3333(:,:,:,:,k,i))
enddo
enddo
enddo
!* Burgers vector, dislocation velocity prefactor, mean free path prefactor and minimum dipole distance for each slip system
@ -514,7 +526,7 @@ do i = 1,maxNinstance
constitutive_dislotwin_burgersPerSlipSystem(s,i) = constitutive_dislotwin_burgersPerSlipFamily(f,i)
constitutive_dislotwin_QedgePerSlipSystem(s,i) = constitutive_dislotwin_QedgePerSlipFamily(f,i)
constitutive_dislotwin_v0PerSlipSystem(s,i) = constitutive_dislotwin_v0PerSlipFamily(f,i)
constitutive_dislotwin_CLambdaSlipPerSlipSystem(s,i) = constitutive_dislotwin_CLambdaSlipPerSlipFamily(f,i)
constitutive_dislotwin_CLambdaSlipPerSlipSystem(s,i) = constitutive_dislotwin_CLambdaSlipPerSlipFamily(f,i)
enddo
!* Burgers vector, nucleation rate prefactor and twin size for each twin system
@ -532,6 +544,7 @@ do i = 1,maxNinstance
constitutive_dislotwin_interactionSlipSlip(lattice_interactionSlipSlip(constitutive_dislotwin_slipSystemLattice(s1,i), &
constitutive_dislotwin_slipSystemLattice(s2,i), &
myStructure),i)
enddo; enddo
do s1 = 1,constitutive_dislotwin_totalNslip(i)
@ -577,6 +590,7 @@ function constitutive_dislotwin_stateInit(myInstance)
!* initial microstructural state *
!*********************************************************************
use prec, only: pReal,pInt
use math, only: pi
use lattice, only: lattice_maxNslipFamily,lattice_maxNtwinFamily
implicit none
@ -586,7 +600,12 @@ integer(pInt) :: myInstance
real(pReal), dimension(constitutive_dislotwin_sizeState(myInstance)) :: constitutive_dislotwin_stateInit
!* Local variables
integer(pInt) s0,s1,s,t,f,ns,nt
real(pReal), dimension(constitutive_dislotwin_totalNslip(myInstance)) :: rhoEdge0,rhoEdgeDip0,invLambdaSlip0,MeanFreePathSlip0,tauSlipThreshold0
real(pReal), dimension(constitutive_dislotwin_totalNslip(myInstance)) :: rhoEdge0, &
rhoEdgeDip0, &
invLambdaSlip0, &
MeanFreePathSlip0, &
tauSlipThreshold0
real(pReal), dimension(constitutive_dislotwin_totalNtwin(myInstance)) :: MeanFreePathTwin0,TwinVolume0
ns = constitutive_dislotwin_totalNslip(myInstance)
@ -594,6 +613,7 @@ nt = constitutive_dislotwin_totalNtwin(myInstance)
constitutive_dislotwin_stateInit = 0.0_pReal
!* Initialize basic slip state variables
s1 = 0_pInt
do f = 1,lattice_maxNslipFamily
s0 = s1 + 1_pInt
@ -603,6 +623,7 @@ do f = 1,lattice_maxNslipFamily
rhoEdgeDip0(s) = constitutive_dislotwin_rhoEdgeDip0(f,myInstance)
enddo
enddo
constitutive_dislotwin_stateInit(1:ns) = rhoEdge0
constitutive_dislotwin_stateInit(ns+1:2*ns) = rhoEdgeDip0
@ -615,6 +636,7 @@ constitutive_dislotwin_stateInit(2*ns+nt+1:3*ns+nt) = invLambdaSlip0
forall (s = 1:ns) &
MeanFreePathSlip0(s) = &
constitutive_dislotwin_GrainSize(myInstance)/(1.0_pReal+invLambdaSlip0(s)*constitutive_dislotwin_GrainSize(myInstance))
constitutive_dislotwin_stateInit(4*ns+2*nt+1:5*ns+2*nt) = MeanFreePathSlip0
forall (s = 1:ns) &
@ -623,6 +645,7 @@ constitutive_dislotwin_Gmod(myInstance)*constitutive_dislotwin_burgersPerSlipSys
sqrt(dot_product(rhoEdge0,constitutive_dislotwin_interactionMatrixSlipSlip(1:ns,s,myInstance)))
constitutive_dislotwin_stateInit(5*ns+3*nt+1:6*ns+3*nt) = tauSlipThreshold0
!* Initialize dependent twin microstructural variables
forall (t = 1:nt) &
MeanFreePathTwin0(t) = constitutive_dislotwin_GrainSize(myInstance)
@ -633,6 +656,7 @@ TwinVolume0(t) = &
(pi/6.0_pReal)*constitutive_dislotwin_twinsizePerTwinSystem(t,myInstance)*MeanFreePathTwin0(t)**(2.0_pReal)
constitutive_dislotwin_stateInit(6*ns+4*nt+1:6*ns+5*nt) = TwinVolume0
!write(6,*) '#STATEINIT#'
!write(6,*)
!write(6,'(a,/,4(3(f30.20,x)/))') 'RhoEdge',rhoEdge0
@ -691,12 +715,14 @@ ns = constitutive_dislotwin_totalNslip(myInstance)
nt = constitutive_dislotwin_totalNtwin(myInstance)
!* Total twin volume fraction
sumf = sum(state(g,ip,el)%p((2*ns+1):(2*ns+nt))) ! safe for nt == 0
!* Homogenized elasticity matrix
constitutive_dislotwin_homogenizedC = (1.0_pReal-sumf)*constitutive_dislotwin_Cslip_66(:,:,myInstance)
do i=1,nt
constitutive_dislotwin_homogenizedC = &
constitutive_dislotwin_homogenizedC + state(g,ip,el)%p(2*ns+i)*constitutive_dislotwin_Ctwin_66(:,:,i,myInstance)
enddo
@ -736,6 +762,7 @@ myStructure = constitutive_dislotwin_structure(myInstance)
ns = constitutive_dislotwin_totalNslip(myInstance)
nt = constitutive_dislotwin_totalNtwin(myInstance)
!* State: 1 : ns rho_edge
!* State: ns+1 : 2*ns rho_dipole
!* State: 2*ns+1 : 2*ns+nt f
!* State: 2*ns+nt+1 : 3*ns+nt 1/lambda_slip
@ -747,82 +774,92 @@ nt = constitutive_dislotwin_totalNtwin(myInstance)
!* State: 6*ns+3*nt+1 : 6*ns+4*nt threshold_stress_twin
!* State: 6*ns+4*nt+1 : 6*ns+5*nt twin volume
!* Total twin volume fraction
sumf = sum(state(g,ip,el)%p((2*ns+1):(2*ns+nt))) ! safe for nt == 0
!* Stacking fault energy
sfe = 0.0002_pReal*Temperature-0.0396_pReal
!* rescaled twin volume fraction for topology
forall (t = 1:nt) &
fOverStacksize(t) = &
state(g,ip,el)%p(2*ns+t)/constitutive_dislotwin_twinsizePerTwinSystem(t,myInstance)
fOverStacksize(t) = &
state(g,ip,el)%p(2*ns+t)/constitutive_dislotwin_twinsizePerTwinSystem(t,myInstance)
!* 1/mean free distance between 2 forest dislocations seen by a moving dislocation
forall (s = 1:ns) &
state(g,ip,el)%p(2*ns+nt+s) = &
sqrt(dot_product((state(g,ip,el)%p(1:ns)+state(g,ip,el)%p(ns+1:2*ns)),constitutive_dislotwin_forestProjectionEdge(1:ns,s,myInstance)))/ &
constitutive_dislotwin_CLambdaSlipPerSlipSystem(s,myInstance)
state(g,ip,el)%p(2*ns+nt+s) = &
sqrt(dot_product((state(g,ip,el)%p(1:ns)+state(g,ip,el)%p(ns+1:2*ns)),&
constitutive_dislotwin_forestProjectionEdge(1:ns,s,myInstance)))/ &
constitutive_dislotwin_CLambdaSlipPerSlipSystem(s,myInstance)
!* 1/mean free distance between 2 twin stacks from different systems seen by a moving dislocation
!$OMP CRITICAL (evilmatmul)
state(g,ip,el)%p((3*ns+nt+1):(4*ns+nt)) = 0.0_pReal
if (nt > 0_pInt) state(g,ip,el)%p((3*ns+nt+1):(4*ns+nt)) = &
matmul(constitutive_dislotwin_interactionMatrixSlipTwin(1:ns,1:nt,myInstance),fOverStacksize(1:nt))/(1.0_pReal-sumf)
if (nt > 0_pInt) &
state(g,ip,el)%p((3*ns+nt+1):(4*ns+nt)) = &
matmul(constitutive_dislotwin_interactionMatrixSlipTwin(1:ns,1:nt,myInstance),fOverStacksize(1:nt))/(1.0_pReal-sumf)
!$OMP END CRITICAL (evilmatmul)
!* 1/mean free distance between 2 twin stacks from different systems seen by a growing twin
!$OMP CRITICAL (evilmatmul)
if (nt > 0_pInt) state(g,ip,el)%p((4*ns+nt+1):(4*ns+2*nt)) = &
matmul(constitutive_dislotwin_interactionMatrixTwinTwin(1:nt,1:nt,myInstance),fOverStacksize(1:nt))/(1.0_pReal-sumf)
if (nt > 0_pInt) &
state(g,ip,el)%p((4*ns+nt+1):(4*ns+2*nt)) = &
matmul(constitutive_dislotwin_interactionMatrixTwinTwin(1:nt,1:nt,myInstance),fOverStacksize(1:nt))/(1.0_pReal-sumf)
!$OMP END CRITICAL (evilmatmul)
!* mean free path between 2 obstacles seen by a moving dislocation
do s = 1,ns
if (nt > 0_pInt) then
state(g,ip,el)%p(4*ns+2*nt+s) = &
constitutive_dislotwin_GrainSize(myInstance)/(1.0_pReal+constitutive_dislotwin_GrainSize(myInstance)*&
(state(g,ip,el)%p(2*ns+nt+s)+state(g,ip,el)%p(3*ns+nt+s)))
constitutive_dislotwin_GrainSize(myInstance)/(1.0_pReal+constitutive_dislotwin_GrainSize(myInstance)*&
(state(g,ip,el)%p(2*ns+nt+s)+state(g,ip,el)%p(3*ns+nt+s)))
else
state(g,ip,el)%p(4*ns+s) = &
constitutive_dislotwin_GrainSize(myInstance)/&
(1.0_pReal+constitutive_dislotwin_GrainSize(myInstance)*(state(g,ip,el)%p(2*ns+s)))
constitutive_dislotwin_GrainSize(myInstance)/&
(1.0_pReal+constitutive_dislotwin_GrainSize(myInstance)*(state(g,ip,el)%p(2*ns+s)))
endif
enddo
!* mean free path between 2 obstacles seen by a growing twin
forall (t = 1:nt) &
state(g,ip,el)%p(5*ns+2*nt+t) = &
(constitutive_dislotwin_Cmfptwin(myInstance)*constitutive_dislotwin_GrainSize(myInstance))/&
(1.0_pReal+constitutive_dislotwin_GrainSize(myInstance)*state(g,ip,el)%p(4*ns+nt+t))
state(g,ip,el)%p(5*ns+2*nt+t) = &
(constitutive_dislotwin_Cmfptwin(myInstance)*constitutive_dislotwin_GrainSize(myInstance))/&
(1.0_pReal+constitutive_dislotwin_GrainSize(myInstance)*state(g,ip,el)%p(4*ns+nt+t))
!* threshold stress for dislocation motion
forall (s = 1:ns) &
state(g,ip,el)%p(5*ns+3*nt+s) = &
constitutive_dislotwin_Gmod(myInstance)*constitutive_dislotwin_burgersPerSlipSystem(s,myInstance)*&
sqrt(dot_product(state(g,ip,el)%p(1:ns),constitutive_dislotwin_interactionMatrixSlipSlip(1:ns,s,myInstance)))
state(g,ip,el)%p(5*ns+3*nt+s) = &
constitutive_dislotwin_Gmod(myInstance)*constitutive_dislotwin_burgersPerSlipSystem(s,myInstance)*&
sqrt(dot_product(state(g,ip,el)%p(1:ns),constitutive_dislotwin_interactionMatrixSlipSlip(1:ns,s,myInstance)))
!* threshold stress for growing twin
forall (t = 1:nt) &
state(g,ip,el)%p(6*ns+3*nt+t) = &
constitutive_dislotwin_Cthresholdtwin(myInstance)*&
(sfe/(3.0_pReal*constitutive_dislotwin_burgersPerTwinSystem(t,myInstance))+&
(constitutive_dislotwin_burgersPerTwinSystem(t,myInstance)*constitutive_dislotwin_Gmod(myInstance))/&
state(g,ip,el)%p(5*ns+2*nt+t))
state(g,ip,el)%p(6*ns+3*nt+t) = &
constitutive_dislotwin_Cthresholdtwin(myInstance)*&
(sfe/(3.0_pReal*constitutive_dislotwin_burgersPerTwinSystem(t,myInstance))+&
(constitutive_dislotwin_burgersPerTwinSystem(t,myInstance)*constitutive_dislotwin_Gmod(myInstance))/&
state(g,ip,el)%p(5*ns+2*nt+t))
!* final twin volume after growth
forall (t = 1:nt) &
state(g,ip,el)%p(6*ns+4*nt+t) = &
(pi/6.0_pReal)*constitutive_dislotwin_twinsizePerTwinSystem(t,myInstance)*state(g,ip,el)%p(5*ns+2*nt+t)**(2.0_pReal)
state(g,ip,el)%p(6*ns+4*nt+t) = &
(pi/6.0_pReal)*constitutive_dislotwin_twinsizePerTwinSystem(t,myInstance)*state(g,ip,el)%p(5*ns+2*nt+t)**(2.0_pReal)
!if ((ip==1).and.(el==1)) then
! write(6,*) '#MICROSTRUCTURE#'
! write(6,*)
! write(6,'(a,/,4(3(f10.4,x)/))') 'rhoEdge',state(g,ip,el)%p(1:ns)/1e9
! write(6,'(a,/,4(3(f10.4,x)/))') 'rhoEdgeDip',state(g,ip,el)%p(ns+1:2*ns)/1e9
! write(6,'(a,/,4(3(f10.4,x)/))') 'Fraction',state(g,ip,el)%p(2*ns+1:2*ns+nt)
! write(6,*)
! write(6,'(a,/,4(3(f10.4,x)/))') 'rhoEdge',state(g,ip,el)%p(1:ns)/1e9
! write(6,'(a,/,4(3(f10.4,x)/))') 'rhoEdgeDip',state(g,ip,el)%p(ns+1:2*ns)/1e9
! write(6,'(a,/,4(3(f10.4,x)/))') 'Fraction',state(g,ip,el)%p(2*ns+1:2*ns+nt)
!endif
return
end subroutine
@ -846,7 +883,7 @@ use math, only: math_Plain3333to99
use mesh, only: mesh_NcpElems,mesh_maxNips
use material, only: homogenization_maxNgrains,material_phase,phase_constitutionInstance
use lattice, only: lattice_Sslip,lattice_Sslip_v,lattice_Stwin,lattice_Stwin_v,lattice_maxNslipFamily,lattice_maxNtwinFamily, &
lattice_NslipSystem,lattice_NtwinSystem,lattice_shearTwin
lattice_NslipSystem,lattice_NtwinSystem,lattice_shearTwin
implicit none
!* Input-Output variables
@ -872,6 +909,7 @@ ns = constitutive_dislotwin_totalNslip(myInstance)
nt = constitutive_dislotwin_totalNtwin(myInstance)
!* Total twin volume fraction
sumf = sum(state(g,ip,el)%p((2*ns+1):(2*ns+nt))) ! safe for nt == 0
Lp = 0.0_pReal
@ -888,36 +926,37 @@ do f = 1,lattice_maxNslipFamily ! loop over all
j = j+1_pInt
!* Calculation of Lp
!* Resolved shear stress on slip system
!* Resolved shear stress on slip system
tau_slip(j) = dot_product(Tstar_v,lattice_Sslip_v(:,index_myFamily+i,myStructure))
!* Stress ratios
StressRatio_p = (abs(tau_slip(j))/state(g,ip,el)%p(5*ns+3*nt+j))**constitutive_dislotwin_p(myInstance)
StressRatio_pminus1 = (abs(tau_slip(j))/state(g,ip,el)%p(5*ns+3*nt+j))**(constitutive_dislotwin_p(myInstance)-1.0_pReal)
!* Boltzmann ratio
BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(f,myInstance)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = &
state(g,ip,el)%p(j)*constitutive_dislotwin_burgersPerSlipSystem(f,myInstance)*constitutive_dislotwin_v0PerSlipSystem(f,myInstance)
!* Shear rates due to slip
!* Stress ratios
StressRatio_p = (abs(tau_slip(j))/state(g,ip,el)%p(5*ns+3*nt+j))**constitutive_dislotwin_p(myInstance)
StressRatio_pminus1 = (abs(tau_slip(j))/state(g,ip,el)%p(5*ns+3*nt+j))**(constitutive_dislotwin_p(myInstance)-1.0_pReal)
!* Boltzmann ratio
BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(f,myInstance)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = &
state(g,ip,el)%p(j)*constitutive_dislotwin_burgersPerSlipSystem(f,myInstance)*&
constitutive_dislotwin_v0PerSlipSystem(f,myInstance)
!* Shear rates due to slip
gdot_slip(j) = DotGamma0*exp(-BoltzmannRatio*(1-StressRatio_p)**constitutive_dislotwin_q(myInstance))*sign(1.0_pReal,tau_slip(j))
!* Derivatives of shear rates
!* Derivatives of shear rates
dgdot_dtauslip(j) = &
((gdot_slip(j)*BoltzmannRatio*&
constitutive_dislotwin_p(myInstance)*constitutive_dislotwin_q(myInstance))/state(g,ip,el)%p(5*ns+3*nt+j))*&
StressRatio_pminus1*(1-StressRatio_p)**(constitutive_dislotwin_q(myInstance)-1.0_pReal)
((gdot_slip(j)*BoltzmannRatio*&
constitutive_dislotwin_p(myInstance)*constitutive_dislotwin_q(myInstance))/state(g,ip,el)%p(5*ns+3*nt+j))*&
StressRatio_pminus1*(1-StressRatio_p)**(constitutive_dislotwin_q(myInstance)-1.0_pReal)
!* Plastic velocity gradient for dislocation glide
Lp = Lp + (1.0_pReal - sumf)*gdot_slip(j)*lattice_Sslip(:,:,index_myFamily+i,myStructure)
!* Calculation of the tangent of Lp
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
dLp_dTstar3333(k,l,m,n) = &
dLp_dTstar3333(k,l,m,n) + dgdot_dtauslip(j)*&
lattice_Sslip(k,l,index_myFamily+i,myStructure)*&
lattice_Sslip(m,n,index_myFamily+i,myStructure)
dLp_dTstar3333(k,l,m,n) = &
dLp_dTstar3333(k,l,m,n) + dgdot_dtauslip(j)*&
lattice_Sslip(k,l,index_myFamily+i,myStructure)*&
lattice_Sslip(m,n,index_myFamily+i,myStructure)
enddo
enddo
@ -931,42 +970,44 @@ do f = 1,lattice_maxNtwinFamily ! loop over all
j = j+1_pInt
!* Calculation of Lp
!* Resolved shear stress on twin system
!* Resolved shear stress on twin system
tau_twin(j) = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,myStructure))
!* Stress ratios
StressRatio_r = (state(g,ip,el)%p(6*ns+3*nt+j)/tau_twin(j))**constitutive_dislotwin_r(myInstance)
!* Stress ratios
StressRatio_r = (state(g,ip,el)%p(6*ns+3*nt+j)/tau_twin(j))**constitutive_dislotwin_r(myInstance)
!* Shear rates and their derivatives due to twin
!* Shear rates and their derivatives due to twin
if ( tau_twin(j) > 0.0_pReal ) then
gdot_twin(j) = &
(constitutive_dislotwin_MaxTwinFraction(myInstance)-sumf)*lattice_shearTwin(index_myFamily+i,myStructure)*&
state(g,ip,el)%p(6*ns+4*nt+j)*constitutive_dislotwin_Ndot0PerTwinSystem(f,myInstance)*exp(-StressRatio_r)
dgdot_dtautwin(j) = ((gdot_twin(j)*constitutive_dislotwin_r(myInstance))/tau_twin(j))*StressRatio_r
gdot_twin(j) = &
(constitutive_dislotwin_MaxTwinFraction(myInstance)-sumf)*lattice_shearTwin(index_myFamily+i,myStructure)*&
state(g,ip,el)%p(6*ns+4*nt+j)*constitutive_dislotwin_Ndot0PerTwinSystem(f,myInstance)*exp(-StressRatio_r)
dgdot_dtautwin(j) = ((gdot_twin(j)*constitutive_dislotwin_r(myInstance))/tau_twin(j))*StressRatio_r
endif
!* Plastic velocity gradient for mechanical twinning
Lp = Lp + gdot_twin(j)*lattice_Stwin(:,:,index_myFamily+i,myStructure)
!* Calculation of the tangent of Lp
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
dLp_dTstar3333(k,l,m,n) = &
dLp_dTstar3333(k,l,m,n) + dgdot_dtautwin(j)*&
lattice_Stwin(k,l,index_myFamily+i,myStructure)*&
lattice_Stwin(m,n,index_myFamily+i,myStructure)
dLp_dTstar3333(k,l,m,n) = &
dLp_dTstar3333(k,l,m,n) + dgdot_dtautwin(j)*&
lattice_Stwin(k,l,index_myFamily+i,myStructure)*&
lattice_Stwin(m,n,index_myFamily+i,myStructure)
enddo
enddo
dLp_dTstar = math_Plain3333to99(dLp_dTstar3333)
!if ((ip==1).and.(el==1)) then
! write(6,*) '#MICROSTRUCTURE#'
! write(6,*)
! write(6,'(a,/,4(3(f10.4,x)/))') 'rhoEdge',state(g,ip,el)%p(1:12)
! write(6,'(a,/,4(3(f10.4,x)/))') 'rhoEdgeDip',state(g,ip,el)%p(13:24)
! write(6,*)
! write(6,'(a,/,4(3(f10.4,x)/))') 'rhoEdge',state(g,ip,el)%p(1:12)
! write(6,'(a,/,4(3(f10.4,x)/))') 'rhoEdgeDip',state(g,ip,el)%p(13:24)
!endif
return
end subroutine
@ -985,6 +1026,7 @@ function constitutive_dislotwin_dotState(Tstar_v,Temperature,state,g,ip,el)
!* - constitutive_dotState : evolution of state variable *
!*********************************************************************
use prec, only: pReal,pInt,p_vec
use math, only: pi
use mesh, only: mesh_NcpElems,mesh_maxNips
use material, only: homogenization_maxNgrains,material_phase, phase_constitutionInstance
@ -996,14 +1038,17 @@ implicit none
integer(pInt), intent(in) :: g,ip,el
real(pReal), intent(in) :: Temperature
real(pReal), dimension(6), intent(in) :: Tstar_v
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: state
real(pReal), dimension(constitutive_dislotwin_sizeDotState(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
constitutive_dislotwin_dotState
!* Local variables
integer(pInt) MyInstance,MyStructure,ns,nt,f,i,j,k,index_myFamily
real(pReal) sumf,StressRatio_p,StressRatio_pminus1,BoltzmannRatio,DotGamma0,EdgeDipMinDistance,AtomicVolume,VacancyDiffusion,StressRatio_r
real(pReal) sumf,StressRatio_p,StressRatio_pminus1,BoltzmannRatio,DotGamma0,&
EdgeDipMinDistance,AtomicVolume,VacancyDiffusion,StressRatio_r
real(pReal), dimension(constitutive_dislotwin_totalNslip(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
gdot_slip,tau_slip,DotRhoMultiplication,EdgeDipDistance,DotRhoEdgeEdgeAnnihilation,DotRhoEdgeDipAnnihilation,&
ClimbVelocity,DotRhoEdgeDipClimb,DotRhoDipFormation
real(pReal), dimension(constitutive_dislotwin_totalNtwin(phase_constitutionInstance(material_phase(g,ip,el)))) :: gdot_twin,tau_twin
@ -1014,6 +1059,7 @@ ns = constitutive_dislotwin_totalNslip(myInstance)
nt = constitutive_dislotwin_totalNtwin(myInstance)
!* Total twin volume fraction
sumf = sum(state(g,ip,el)%p((2*ns+1):(2*ns+nt))) ! safe for nt == 0
constitutive_dislotwin_dotState = 0.0_pReal
@ -1026,65 +1072,72 @@ do f = 1,lattice_maxNslipFamily ! loop over all
do i = 1,constitutive_dislotwin_Nslip(f,myInstance) ! process each (active) slip system in family
j = j+1_pInt
!* Resolved shear stress on slip system
tau_slip(j) = dot_product(Tstar_v,lattice_Sslip_v(:,index_myFamily+i,myStructure))
!* Stress ratios
StressRatio_p = (abs(tau_slip(j))/state(g,ip,el)%p(5*ns+3*nt+j))**constitutive_dislotwin_p(myInstance)
StressRatio_pminus1 = (abs(tau_slip(j))/state(g,ip,el)%p(5*ns+3*nt+j))**(constitutive_dislotwin_p(myInstance)-1.0_pReal)
!* Boltzmann ratio
BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(f,myInstance)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = &
state(g,ip,el)%p(j)*constitutive_dislotwin_burgersPerSlipSystem(f,myInstance)*constitutive_dislotwin_v0PerSlipSystem(f,myInstance)
!* Shear rates due to slip
!* Resolved shear stress on slip system
tau_slip(j) = dot_product(Tstar_v,lattice_Sslip_v(:,index_myFamily+i,myStructure))
!* Stress ratios
StressRatio_p = (abs(tau_slip(j))/state(g,ip,el)%p(5*ns+3*nt+j))**constitutive_dislotwin_p(myInstance)
StressRatio_pminus1 = (abs(tau_slip(j))/state(g,ip,el)%p(5*ns+3*nt+j))**(constitutive_dislotwin_p(myInstance)-1.0_pReal)
!* Boltzmann ratio
BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(f,myInstance)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = &
state(g,ip,el)%p(j)*constitutive_dislotwin_burgersPerSlipSystem(f,myInstance)*&
constitutive_dislotwin_v0PerSlipSystem(f,myInstance)
!* Shear rates due to slip
gdot_slip(j) = DotGamma0*exp(-BoltzmannRatio*(1-StressRatio_p)**constitutive_dislotwin_q(myInstance))*sign(1.0_pReal,tau_slip(j))
!* Multiplication
DotRhoMultiplication(j) = abs(gdot_slip(j))/(constitutive_dislotwin_burgersPerSlipSystem(f,myInstance)*state(g,ip,el)%p(4*ns+2*nt+j))
DotRhoMultiplication(j) = abs(gdot_slip(j))/&
(constitutive_dislotwin_burgersPerSlipSystem(f,myInstance)*state(g,ip,el)%p(4*ns+2*nt+j))
!* Dipole formation
if (tau_slip(j) == 0.0_pReal) then
if (tau_slip(j) == 0.0_pReal) then
DotRhoDipFormation(j) = 0.0_pReal
else
EdgeDipDistance(j) = &
(3.0_pReal*constitutive_dislotwin_Gmod(myInstance)*constitutive_dislotwin_burgersPerSlipSystem(f,myInstance))/&
(16.0_pReal*pi*abs(tau_slip(j)))
DotRhoDipFormation(j) = &
((2.0_pReal*EdgeDipDistance(j))/constitutive_dislotwin_burgersPerSlipSystem(f,myInstance))*&
state(g,ip,el)%p(j)*abs(gdot_slip(j))
else
EdgeDipDistance(j) = &
(3.0_pReal*constitutive_dislotwin_Gmod(myInstance)*constitutive_dislotwin_burgersPerSlipSystem(f,myInstance))/&
(16.0_pReal*pi*abs(tau_slip(j)))
DotRhoDipFormation(j) = &
((2.0_pReal*EdgeDipDistance(j))/constitutive_dislotwin_burgersPerSlipSystem(f,myInstance))*&
state(g,ip,el)%p(j)*abs(gdot_slip(j))
endif
!* Spontaneous annihilation of 2 single edge dislocations
EdgeDipMinDistance = &
constitutive_dislotwin_CEdgeDipMinDistance(myInstance)*constitutive_dislotwin_burgersPerSlipSystem(f,myInstance)
DotRhoEdgeEdgeAnnihilation(j) = &
((2.0_pReal*EdgeDipMinDistance)/constitutive_dislotwin_burgersPerSlipSystem(f,myInstance))*&
state(g,ip,el)%p(j)*abs(gdot_slip(j))
!* Spontaneous annihilation of 2 single edge dislocations
EdgeDipMinDistance = &
constitutive_dislotwin_CEdgeDipMinDistance(myInstance)*constitutive_dislotwin_burgersPerSlipSystem(f,myInstance)
DotRhoEdgeEdgeAnnihilation(j) = &
((2.0_pReal*EdgeDipMinDistance)/constitutive_dislotwin_burgersPerSlipSystem(f,myInstance))*&
state(g,ip,el)%p(j)*abs(gdot_slip(j))
!* Spontaneous annihilation of a single edge dislocation with a dipole constituent
DotRhoEdgeDipAnnihilation(j) = &
((2.0_pReal*EdgeDipMinDistance)/constitutive_dislotwin_burgersPerSlipSystem(f,myInstance))*&
state(g,ip,el)%p(ns+j)*abs(gdot_slip(j))
!* Spontaneous annihilation of a single edge dislocation with a dipole constituent
DotRhoEdgeDipAnnihilation(j) = &
((2.0_pReal*EdgeDipMinDistance)/constitutive_dislotwin_burgersPerSlipSystem(f,myInstance))*&
state(g,ip,el)%p(ns+j)*abs(gdot_slip(j))
!* Dislocation dipole climb
AtomicVolume = &
constitutive_dislotwin_CAtomicVolume(myInstance)*constitutive_dislotwin_burgersPerSlipSystem(f,myInstance)**(3.0_pReal)
VacancyDiffusion = &
constitutive_dislotwin_D0(myInstance)*exp(-constitutive_dislotwin_Qsd(myInstance)/(kB*Temperature))
ClimbVelocity(j) = &
((3.0_pReal*constitutive_dislotwin_Gmod(myInstance)*VacancyDiffusion*AtomicVolume)/(2.0_pReal*pi*kB*Temperature))*&
(1/(EdgeDipDistance(j)+EdgeDipMinDistance))
DotRhoEdgeDipClimb(j) = &
(4.0_pReal*ClimbVelocity(j)*state(g,ip,el)%p(ns+j))/(EdgeDipDistance(j)+EdgeDipMinDistance)
!* Dislocation dipole climb
AtomicVolume = &
constitutive_dislotwin_CAtomicVolume(myInstance)*constitutive_dislotwin_burgersPerSlipSystem(f,myInstance)**(3.0_pReal)
!* Edge dislocation density rate of change
constitutive_dislotwin_dotState(j) = &
DotRhoMultiplication(j)-DotRhoDipFormation(j)-DotRhoEdgeEdgeAnnihilation(j)
VacancyDiffusion = &
constitutive_dislotwin_D0(myInstance)*exp(-constitutive_dislotwin_Qsd(myInstance)/(kB*Temperature))
ClimbVelocity(j) = &
((3.0_pReal*constitutive_dislotwin_Gmod(myInstance)*VacancyDiffusion*AtomicVolume)/(2.0_pReal*pi*kB*Temperature))*&
(1/(EdgeDipDistance(j)+EdgeDipMinDistance))
DotRhoEdgeDipClimb(j) = &
(4.0_pReal*ClimbVelocity(j)*state(g,ip,el)%p(ns+j))/(EdgeDipDistance(j)+EdgeDipMinDistance)
!* Edge dislocation dipole density rate of change
constitutive_dislotwin_dotState(ns+j) = &
DotRhoDipFormation(j)-DotRhoEdgeDipAnnihilation(j)-DotRhoEdgeDipClimb(j)
!* Edge dislocation density rate of change
constitutive_dislotwin_dotState(j) = &
DotRhoMultiplication(j)-DotRhoDipFormation(j)-DotRhoEdgeEdgeAnnihilation(j)
!* Edge dislocation dipole density rate of change
constitutive_dislotwin_dotState(ns+j) = &
DotRhoDipFormation(j)-DotRhoEdgeDipAnnihilation(j)-DotRhoEdgeDipClimb(j)
enddo
enddo
@ -1097,34 +1150,38 @@ do f = 1,lattice_maxNtwinFamily ! loop over all
do i = 1,constitutive_dislotwin_Ntwin(f,myInstance) ! process each (active) twin system in family
j = j+1_pInt
!* Resolved shear stress on twin system
!* Resolved shear stress on twin system
tau_twin(j) = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,myStructure))
!* Stress ratios
StressRatio_r = (state(g,ip,el)%p(6*ns+3*nt+j)/tau_twin(j))**constitutive_dislotwin_r(myInstance)
!* Stress ratios
StressRatio_r = (state(g,ip,el)%p(6*ns+3*nt+j)/tau_twin(j))**constitutive_dislotwin_r(myInstance)
!* Shear rates and their derivatives due to twin
!* Shear rates and their derivatives due to twin
if ( tau_twin(j) > 0.0_pReal ) then
gdot_twin(j) = &
(constitutive_dislotwin_MaxTwinFraction(myInstance)-sumf)*&
state(g,ip,el)%p(6*ns+4*nt+j)*constitutive_dislotwin_Ndot0PerTwinSystem(f,myInstance)*exp(-StressRatio_r)
gdot_twin(j) = &
(constitutive_dislotwin_MaxTwinFraction(myInstance)-sumf)*&
state(g,ip,el)%p(6*ns+4*nt+j)*constitutive_dislotwin_Ndot0PerTwinSystem(f,myInstance)*exp(-StressRatio_r)
endif
enddo
enddo
!if ((ip==1).and.(el==1)) then
! write(6,*) '#DOTSTATE#'
! write(6,*)
! write(6,'(a,/,4(3(f30.20,x)/))') 'tau slip',tau_slip
! write(6,'(a,/,4(3(f30.20,x)/))') 'gamma slip',gdot_slip
! write(6,*)
! write(6,'(a,/,4(3(f30.20,x)/))') 'tau slip',tau_slip
! write(6,'(a,/,4(3(f30.20,x)/))') 'gamma slip',gdot_slip
! write(6,'(a,/,4(3(f30.20,x)/))') 'RhoEdge',state(g,ip,el)%p(1:ns)
! write(6,'(a,/,4(3(f30.20,x)/))') 'Threshold Slip', state(g,ip,el)%p(5*ns+3*nt+1:6*ns+3*nt)
! write(6,'(a,/,4(3(f30.20,x)/))') 'Multiplication',DotRhoMultiplication
! write(6,'(a,/,4(3(f30.20,x)/))') 'DipFormation',DotRhoDipFormation
! write(6,'(a,/,4(3(f30.20,x)/))') 'SingleSingle',DotRhoEdgeEdgeAnnihilation
! write(6,'(a,/,4(3(f30.20,x)/))') 'SingleDipole',DotRhoEdgeDipAnnihilation
! write(6,'(a,/,4(3(f30.20,x)/))') 'DipClimb',DotRhoEdgeDipClimb
! write(6,'(a,/,4(3(f30.20,x)/))') 'Threshold Slip', state(g,ip,el)%p(5*ns+3*nt+1:6*ns+3*nt)
! write(6,'(a,/,4(3(f30.20,x)/))') 'Multiplication',DotRhoMultiplication
! write(6,'(a,/,4(3(f30.20,x)/))') 'DipFormation',DotRhoDipFormation
! write(6,'(a,/,4(3(f30.20,x)/))') 'SingleSingle',DotRhoEdgeEdgeAnnihilation
! write(6,'(a,/,4(3(f30.20,x)/))') 'SingleDipole',DotRhoEdgeDipAnnihilation
! write(6,'(a,/,4(3(f30.20,x)/))') 'DipClimb',DotRhoEdgeDipClimb
!endif
return
end function
@ -1174,7 +1231,7 @@ use prec, only: pReal,pInt,p_vec
use mesh, only: mesh_NcpElems,mesh_maxNips
use material, only: homogenization_maxNgrains,material_phase,phase_constitutionInstance,phase_Noutput
use lattice, only: lattice_Sslip_v,lattice_Stwin_v,lattice_maxNslipFamily,lattice_maxNtwinFamily, &
lattice_NslipSystem,lattice_NtwinSystem,lattice_shearTwin
lattice_NslipSystem,lattice_NtwinSystem,lattice_shearTwin
implicit none
!* Definition of variables
@ -1206,11 +1263,9 @@ do o = 1,phase_Noutput(material_phase(g,ip,el))
case ('edge_density')
constitutive_dislotwin_postResults(c+1:c+ns) = state(g,ip,el)%p(1:ns)
c = c + ns
case ('dipole_density')
constitutive_dislotwin_postResults(c+1:c+ns) = state(g,ip,el)%p(ns+1:2*ns)
c = c + ns
case ('shear_rate_slip')
j = 0_pInt
do f = 1,lattice_maxNslipFamily ! loop over all slip families
@ -1218,27 +1273,26 @@ do o = 1,phase_Noutput(material_phase(g,ip,el))
do i = 1,constitutive_dislotwin_Nslip(f,myInstance) ! process each (active) slip system in family
j = j + 1_pInt
!* Resolved shear stress on slip system
!* Resolved shear stress on slip system
tau = dot_product(Tstar_v,lattice_Sslip_v(:,index_myFamily+i,myStructure))
!* Stress ratios
StressRatio_p = (abs(tau)/state(g,ip,el)%p(5*ns+3*nt+j))**constitutive_dislotwin_p(myInstance)
StressRatio_pminus1 = (abs(tau)/state(g,ip,el)%p(5*ns+3*nt+j))**(constitutive_dislotwin_p(myInstance)-1.0_pReal)
!* Boltzmann ratio
BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(f,myInstance)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = &
state(g,ip,el)%p(j)*constitutive_dislotwin_burgersPerSlipSystem(f,myInstance)*constitutive_dislotwin_v0PerSlipSystem(f,myInstance)
!* Stress ratios
StressRatio_p = (abs(tau)/state(g,ip,el)%p(5*ns+3*nt+j))**constitutive_dislotwin_p(myInstance)
StressRatio_pminus1 = (abs(tau)/state(g,ip,el)%p(5*ns+3*nt+j))**(constitutive_dislotwin_p(myInstance)-1.0_pReal)
!* Boltzmann ratio
BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(f,myInstance)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = &
state(g,ip,el)%p(j)*constitutive_dislotwin_burgersPerSlipSystem(f,myInstance)* &
constitutive_dislotwin_v0PerSlipSystem(f,myInstance)
!* Shear rates due to slip
!* Shear rates due to slip
constitutive_dislotwin_postResults(c+j) = &
DotGamma0*exp(-BoltzmannRatio*(1-StressRatio_p)**constitutive_dislotwin_q(myInstance))*sign(1.0_pReal,tau)
enddo ; enddo
DotGamma0*exp(-BoltzmannRatio*(1-StressRatio_p)**constitutive_dislotwin_q(myInstance))*sign(1.0_pReal,tau)
enddo ; enddo
c = c + ns
case ('mfp_slip')
constitutive_dislotwin_postResults(c+1:c+ns) = state(g,ip,el)%p((4*ns+2*nt+1):(5*ns+2*nt))
c = c + ns
case ('resolved_stress_slip')
j = 0_pInt
do f = 1,lattice_maxNslipFamily ! loop over all slip families
@ -1246,60 +1300,54 @@ do o = 1,phase_Noutput(material_phase(g,ip,el))
do i = 1,constitutive_dislotwin_Nslip(f,myInstance) ! process each (active) slip system in family
j = j + 1_pInt
constitutive_dislotwin_postResults(c+j) = dot_product(Tstar_v,lattice_Sslip_v(:,index_myFamily+i,myStructure))
enddo; enddo
enddo; enddo
c = c + ns
case ('threshold_stress_slip')
constitutive_dislotwin_postResults(c+1:c+ns) = state(g,ip,el)%p((5*ns+3*nt+1):(6*ns+3*nt))
c = c + ns
case ('twin_fraction')
constitutive_dislotwin_postResults(c+1:c+nt) = state(g,ip,el)%p((2*ns+1):(2*ns+nt))
c = c + nt
case ('shear_rate_twin')
if (nt > 0_pInt) then
j = 0_pInt
do f = 1,lattice_maxNtwinFamily ! loop over all twin families
index_myFamily = sum(lattice_NtwinSystem(1:f-1,myStructure)) ! at which index starts my family
do i = 1,constitutive_dislotwin_Ntwin(f,myInstance) ! process each (active) twin system in family
if (nt > 0_pInt) then
j = 0_pInt
do f = 1,lattice_maxNtwinFamily ! loop over all twin families
index_myFamily = sum(lattice_NtwinSystem(1:f-1,myStructure)) ! at which index starts my family
do i = 1,constitutive_dislotwin_Ntwin(f,myInstance) ! process each (active) twin system in family
j = j + 1_pInt
!* Resolved shear stress on twin system
!* Resolved shear stress on twin system
tau = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,myStructure))
!* Stress ratios
StressRatio_r = (state(g,ip,el)%p(6*ns+3*nt+j)/tau)**constitutive_dislotwin_r(myInstance)
!* Stress ratios
StressRatio_r = (state(g,ip,el)%p(6*ns+3*nt+j)/tau)**constitutive_dislotwin_r(myInstance)
!* Shear rates and their derivatives due to twin
!* Shear rates and their derivatives due to twin
if ( tau > 0.0_pReal ) then
constitutive_dislotwin_postResults(c+j) = &
(constitutive_dislotwin_MaxTwinFraction(myInstance)-sumf)*&
state(g,ip,el)%p(6*ns+4*nt+j)*constitutive_dislotwin_Ndot0PerTwinSystem(f,myInstance)*exp(-StressRatio_r)
constitutive_dislotwin_postResults(c+j) = &
(constitutive_dislotwin_MaxTwinFraction(myInstance)-sumf)*&
state(g,ip,el)%p(6*ns+4*nt+j)*constitutive_dislotwin_Ndot0PerTwinSystem(f,myInstance)*exp(-StressRatio_r)
endif
enddo ; enddo
endif
c = c + nt
enddo ; enddo
endif
c = c + nt
case ('mfp_twin')
constitutive_dislotwin_postResults(c+1:c+nt) = state(g,ip,el)%p((5*ns+2*nt+1):(5*ns+3*nt))
c = c + nt
case ('resolved_stress_twin')
if (nt > 0_pInt) then
j = 0_pInt
do f = 1,lattice_maxNtwinFamily ! loop over all slip families
index_myFamily = sum(lattice_NtwinSystem(1:f-1,myStructure)) ! at which index starts my family
do i = 1,constitutive_dislotwin_Ntwin(f,myInstance) ! process each (active) slip system in family
if (nt > 0_pInt) then
j = 0_pInt
do f = 1,lattice_maxNtwinFamily ! loop over all slip families
index_myFamily = sum(lattice_NtwinSystem(1:f-1,myStructure)) ! at which index starts my family
do i = 1,constitutive_dislotwin_Ntwin(f,myInstance) ! process each (active) slip system in family
j = j + 1_pInt
constitutive_dislotwin_postResults(c+j) = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,myStructure))
enddo; enddo
endif
enddo; enddo
endif
c = c + nt
case ('threshold_stress_twin')
constitutive_dislotwin_postResults(c+1:c+nt) = state(g,ip,el)%p((6*ns+3*nt+1):(6*ns+4*nt))
c = c + nt
end select
enddo