DAMASK_EICMD/src/plastic_dislotwin.f90

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!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
!> @brief material subroutine incoprorating dislocation and twinning physics
!> @details to be done
!--------------------------------------------------------------------------------------------------
module plastic_dislotwin
use prec, only: &
pReal, &
pInt
implicit none
private
integer(pInt), dimension(:), allocatable, public, protected :: &
plastic_dislotwin_sizePostResults !< cumulative size of post results
integer(pInt), dimension(:,:), allocatable, target, public :: &
plastic_dislotwin_sizePostResult !< size of each post result output
character(len=64), dimension(:,:), allocatable, target, public :: &
plastic_dislotwin_output !< name of each post result output
real(pReal), parameter, private :: &
kB = 1.38e-23_pReal !< Boltzmann constant in J/Kelvin
integer(pInt), dimension(:), allocatable, target, public :: &
plastic_dislotwin_Noutput !< number of outputs per instance of this plasticity
integer(pInt), dimension(:), allocatable, private :: &
totalNslip, & !< total number of active slip systems for each instance
totalNtwin, & !< total number of active twin systems for each instance
totalNtrans !< number of active transformation systems
integer(pInt), dimension(:,:), allocatable, private :: &
Nslip, &
Ntwin, &
Ntrans
real(pReal), dimension(:,:,:,:), allocatable, private :: &
Ctwin66 !< twin elasticity matrix in Mandel notation for each instance
real(pReal), dimension(:,:,:,:,:,:), allocatable, private :: &
Ctwin3333 !< twin elasticity matrix for each instance
real(pReal), dimension(:,:,:,:), allocatable, private :: &
Ctrans66 !< trans elasticity matrix in Mandel notation for each instance
real(pReal), dimension(:,:,:,:,:,:), allocatable, private :: &
Ctrans3333 !< trans elasticity matrix for each instance
real(pReal), dimension(:,:), allocatable, private :: &
QedgePerSlipFamily, & !< activation energy for glide [J] for each slip family and instance
QedgePerSlipSystem, & !< activation energy for glide [J] for each slip system and instance
v0PerSlipFamily, & !< dislocation velocity prefactor [m/s] for each family and instance
v0PerSlipSystem, & !< dislocation velocity prefactor [m/s] for each slip system and instance
tau_peierlsPerSlipFamily, & !< Peierls stress [Pa] for each family and instance
Ndot0PerTwinFamily, & !< twin nucleation rate [1/m³s] for each twin family and instance
Ndot0PerTwinSystem, & !< twin nucleation rate [1/m³s] for each twin system and instance
Ndot0PerTransFamily, & !< trans nucleation rate [1/m³s] for each trans family and instance
Ndot0PerTransSystem, & !< trans nucleation rate [1/m³s] for each trans system and instance
tau_r_twin, & !< stress to bring partial close together for each twin system and instance
tau_r_trans, & !< stress to bring partial close together for each trans system and instance
twinsizePerTwinFamily, & !< twin thickness [m] for each twin family and instance
twinsizePerTwinSystem, & !< twin thickness [m] for each twin system and instance
CLambdaSlipPerSlipFamily, & !< Adj. parameter for distance between 2 forest dislocations for each slip family and instance
CLambdaSlipPerSlipSystem, & !< Adj. parameter for distance between 2 forest dislocations for each slip system and instance
lamellarsizePerTransFamily, & !< martensite lamellar thickness [m] for each trans family and instance
lamellarsizePerTransSystem, & !< martensite lamellar thickness [m] for each trans system and instance
interaction_SlipSlip, & !< coefficients for slip-slip interaction for each interaction type and instance
interaction_SlipTwin, & !< coefficients for slip-twin interaction for each interaction type and instance
interaction_TwinSlip, & !< coefficients for twin-slip interaction for each interaction type and instance
interaction_TwinTwin, & !< coefficients for twin-twin interaction for each interaction type and instance
interaction_SlipTrans, & !< coefficients for slip-trans interaction for each interaction type and instance
interaction_TransSlip, & !< coefficients for trans-slip interaction for each interaction type and instance
interaction_TransTrans, & !< coefficients for trans-trans interaction for each interaction type and instance
pPerSlipFamily, & !< p-exponent in glide velocity
qPerSlipFamily, & !< q-exponent in glide velocity
rPerTwinFamily, & !< r-exponent in twin nucleation rate
sPerTransFamily !< s-exponent in trans nucleation rate
real(pReal), dimension(:,:,:), allocatable, private :: &
interactionMatrix_SlipSlip, & !< interaction matrix of the different slip systems for each instance
interactionMatrix_SlipTwin, & !< interaction matrix of slip systems with twin systems for each instance
interactionMatrix_TwinSlip, & !< interaction matrix of twin systems with slip systems for each instance
interactionMatrix_TwinTwin, & !< interaction matrix of the different twin systems for each instance
interactionMatrix_SlipTrans, & !< interaction matrix of slip systems with trans systems for each instance
interactionMatrix_TransSlip, & !< interaction matrix of trans systems with slip systems for each instance
interactionMatrix_TransTrans, & !< interaction matrix of the different trans systems for each instance
forestProjectionEdge, & !< matrix of forest projections of edge dislocations for each instance
projectionMatrix_Trans !< matrix for projection of slip system shear on fault band (twin) systems for each instance
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real(pReal), dimension(:,:,:,:,:), allocatable, private :: &
sbSv
enum, bind(c)
enumerator :: undefined_ID, &
edge_density_ID, &
dipole_density_ID, &
shear_rate_slip_ID, &
accumulated_shear_slip_ID, &
mfp_slip_ID, &
resolved_stress_slip_ID, &
threshold_stress_slip_ID, &
edge_dipole_distance_ID, &
stress_exponent_ID, &
twin_fraction_ID, &
shear_rate_twin_ID, &
accumulated_shear_twin_ID, &
mfp_twin_ID, &
resolved_stress_twin_ID, &
threshold_stress_twin_ID, &
resolved_stress_shearband_ID, &
shear_rate_shearband_ID, &
sb_eigenvalues_ID, &
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sb_eigenvectors_ID, &
stress_trans_fraction_ID, &
strain_trans_fraction_ID, &
trans_fraction_ID
end enum
type,private :: tParameters
integer(kind(undefined_ID)), dimension(:), allocatable, private :: &
outputID !< ID of each post result output
real(pReal) :: &
CAtomicVolume, & !< atomic volume in Bugers vector unit
D0, & !< prefactor for self-diffusion coefficient
Qsd, & !< activation energy for dislocation climb
GrainSize, & !<grain size
pShearBand, & !< p-exponent in shear band velocity
qShearBand, & !< q-exponent in shear band velocity
MaxTwinFraction, & !<max allowed total twin volume fraction
CEdgeDipMinDistance, & !<
Cmfptwin, & !<
Cthresholdtwin, & !<
SolidSolutionStrength, & !<strength due to elements in solid solution
L0_twin, & !< Length of twin nuclei in Burgers vectors
L0_trans, & !< Length of trans nuclei in Burgers vectors
xc_twin, & !< critical distance for formation of twin nucleus
xc_trans, & !< critical distance for formation of trans nucleus
VcrossSlip, & !< cross slip volume
sbResistance, & !< value for shearband resistance (might become an internal state variable at some point)
sbVelocity, & !< value for shearband velocity_0
sbQedge, & !< value for shearband systems Qedge
SFE_0K, & !< stacking fault energy at zero K
dSFE_dT, & !< temperature dependance of stacking fault energy
dipoleFormationFactor = 1.0_pReal, & !< scaling factor for dipole formation: 0: off, 1: on. other values not useful
aTolRho, & !< absolute tolerance for integration of dislocation density
aTolTwinFrac, & !< absolute tolerance for integration of twin volume fraction
aTolTransFrac, & !< absolute tolerance for integration of trans volume fraction
deltaG, & !< Free energy difference between austensite and martensite
Cmfptrans, & !<
Cthresholdtrans, & !<
transStackHeight !< Stack height of hex nucleus
integer(pInt), dimension(:), allocatable, private :: &
Nslip, & !< number of active slip systems for each family and instance
Ntwin, & !< number of active twin systems for each family and instance
Ntrans !< number of active transformation systems for each family and instance
real(pReal), dimension(:), allocatable, private :: &
rho0, & !< initial unipolar dislocation density per slip system
rhoDip0, & !< initial dipole dislocation density per slip system
burgers_slip, & !< absolute length of burgers vector [m] for each slip systems
burgers_twin, & !< absolute length of burgers vector [m] for each slip systems
burgers_trans !< absolute length of burgers vector [m] for each twin family and instance
end type
type(tParameters), dimension(:), allocatable, private, target :: param !< containers of constitutive parameters (len Ninstance)
type, private :: tDislotwinState
real(pReal), pointer, dimension(:,:) :: &
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rhoEdge, &
rhoEdgeDip, &
accshear_slip, &
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twinFraction, &
accshear_twin, &
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stressTransFraction, &
strainTransFraction , &
invLambdaSlip, &
invLambdaSlipTwin, &
invLambdaTwin, &
invLambdaSlipTrans, &
invLambdaTrans, &
mfp_slip, &
mfp_twin, &
mfp_trans, &
threshold_stress_slip, &
threshold_stress_twin, &
threshold_stress_trans, &
twinVolume, &
martensiteVolume
end type
type(tDislotwinState), allocatable, dimension(:), private :: &
state, &
state0, &
dotState
public :: &
plastic_dislotwin_init, &
plastic_dislotwin_homogenizedC, &
plastic_dislotwin_microstructure, &
plastic_dislotwin_LpAndItsTangent, &
plastic_dislotwin_dotState, &
plastic_dislotwin_postResults
contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
subroutine plastic_dislotwin_init(fileUnit)
#if defined(__GFORTRAN__) || __INTEL_COMPILER >= 1800
use, intrinsic :: iso_fortran_env, only: &
compiler_version, &
compiler_options
#endif
use prec, only: &
dEq0, &
dNeq0, &
dNeq
use debug, only: &
debug_level,&
debug_constitutive,&
debug_levelBasic
use math, only: &
math_Mandel3333to66, &
math_Voigt66to3333, &
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math_mul3x3, &
math_expand,&
pi
use mesh, only: &
mesh_maxNips, &
mesh_NcpElems
use IO, only: &
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IO_read, &
IO_lc, &
IO_getTag, &
IO_isBlank, &
IO_stringPos, &
IO_stringValue, &
IO_floatValue, &
IO_intValue, &
IO_warning, &
IO_error, &
IO_timeStamp, &
IO_EOF
use material, only: &
homogenization_maxNgrains, &
phase_plasticity, &
phase_plasticityInstance, &
phase_Noutput, &
PLASTICITY_DISLOTWIN_label, &
PLASTICITY_DISLOTWIN_ID, &
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material_phase, &
plasticState
use config, only: &
MATERIAL_partPhase, &
phaseConfig
use lattice
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use numerics,only: &
numerics_integrator
implicit none
integer(pInt), intent(in) :: fileUnit
integer(pInt), allocatable, dimension(:) :: chunkPos
integer(pInt) :: maxNinstance,mySize=0_pInt,phase,maxTotalNslip,maxTotalNtwin,maxTotalNtrans,&
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f,instance,j,i,k,l,m,n,o,p,q,r,s,ns,nt,nr, &
Nchunks_SlipSlip = 0_pInt, Nchunks_SlipTwin = 0_pInt, &
Nchunks_TwinSlip = 0_pInt, Nchunks_TwinTwin = 0_pInt, &
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Nchunks_SlipTrans = 0_pInt, Nchunks_TransSlip = 0_pInt, Nchunks_TransTrans = 0_pInt, &
Nchunks_SlipFamilies = 0_pInt, Nchunks_TwinFamilies = 0_pInt, Nchunks_TransFamilies = 0_pInt, &
offset_slip, index_myFamily, index_otherFamily, &
startIndex, endIndex, outputID,outputSize
integer(pInt) :: sizeState, sizeDotState, sizeDeltaState
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integer(pInt) :: NofMyPhase
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real(pReal), allocatable, dimension(:) :: &
invLambdaSlip0,&
MeanFreePathSlip0,&
MeanFreePathTrans0,&
MeanFreePathTwin0,&
tauSlipThreshold0,&
TwinVolume0,&
MartensiteVolume0
character(len=65536) :: &
tag = '', &
line = ''
character(len=65536), dimension(:), allocatable :: outputs
integer(pInt), dimension(0), parameter :: emptyInt = [integer(pInt)::]
real(pReal), dimension(0), parameter :: emptyReal = [real(pReal)::]
character(len=65536), dimension(0), parameter :: emptyString = [character(len=65536)::]
type(tParameters), pointer :: prm
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real(pReal), dimension(:), allocatable :: tempPerSlip, tempPerTwin, tempPerTrans
write(6,'(/,a)') ' <<<+- constitutive_'//PLASTICITY_DISLOTWIN_label//' init -+>>>'
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write(6,'(/,a)') ' A. Ma and F. Roters, Acta Materialia, 52(12):36033612, 2004'
write(6,'(/,a)') ' https://doi.org/10.1016/j.actamat.2004.04.012'
write(6,'(/,a)') ' F.Roters et al., Computational Materials Science, 39:9195, 2007'
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write(6,'(/,a)') ' https://doi.org/10.1016/j.commatsci.2006.04.014'
write(6,'(/,a)') ' Wong et al., Acta Materialia, 118:140151, 2016'
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write(6,'(/,a)') ' https://doi.org/10.1016/j.actamat.2016.07.032'
write(6,'(a15,a)') ' Current time: ',IO_timeStamp()
#include "compilation_info.f90"
maxNinstance = int(count(phase_plasticity == PLASTICITY_DISLOTWIN_ID),pInt)
if (maxNinstance == 0_pInt) return
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) &
write(6,'(a16,1x,i5,/)') '# instances:',maxNinstance
allocate(plastic_dislotwin_sizePostResults(maxNinstance), source=0_pInt)
allocate(plastic_dislotwin_sizePostResult(maxval(phase_Noutput),maxNinstance),source=0_pInt)
allocate(plastic_dislotwin_output(maxval(phase_Noutput),maxNinstance))
plastic_dislotwin_output = ''
allocate(plastic_dislotwin_Noutput(maxNinstance), source=0_pInt)
allocate(param(maxNinstance))
allocate(totalNslip(maxNinstance), source=0_pInt)
allocate(totalNtwin(maxNinstance), source=0_pInt)
allocate(totalNtrans(maxNinstance), source=0_pInt)
allocate(Nslip(lattice_maxNslipFamily,maxNinstance), source=0_pInt)
allocate(Ntwin(lattice_maxNtwinFamily,maxNinstance), source=0_pInt)
allocate(Ntrans(lattice_maxNtransFamily,maxNinstance), source=0_pInt)
allocate(QedgePerSlipFamily(lattice_maxNslipFamily,maxNinstance), &
source=0.0_pReal)
allocate(v0PerSlipFamily(lattice_maxNslipFamily,maxNinstance), &
source=0.0_pReal)
allocate(tau_peierlsPerSlipFamily(lattice_maxNslipFamily,maxNinstance), &
source=0.0_pReal)
allocate(pPerSlipFamily(lattice_maxNslipFamily,maxNinstance),source=0.0_pReal)
allocate(qPerSlipFamily(lattice_maxNslipFamily,maxNinstance),source=0.0_pReal)
allocate(Ndot0PerTwinFamily(lattice_maxNtwinFamily,maxNinstance), &
source=0.0_pReal)
allocate(Ndot0PerTransFamily(lattice_maxNtransFamily,maxNinstance), &
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source=0.0_pReal)
allocate(twinsizePerTwinFamily(lattice_maxNtwinFamily,maxNinstance), &
source=0.0_pReal)
allocate(CLambdaSlipPerSlipFamily(lattice_maxNslipFamily,maxNinstance), &
source=0.0_pReal)
allocate(rPerTwinFamily(lattice_maxNtwinFamily,maxNinstance),source=0.0_pReal)
allocate(interaction_SlipSlip(lattice_maxNinteraction,maxNinstance), &
source=0.0_pReal)
allocate(interaction_SlipTwin(lattice_maxNinteraction,maxNinstance), &
source=0.0_pReal)
allocate(interaction_TwinSlip(lattice_maxNinteraction,maxNinstance), &
source=0.0_pReal)
allocate(interaction_TwinTwin(lattice_maxNinteraction,maxNinstance), &
source=0.0_pReal)
allocate(interaction_SlipTrans(lattice_maxNinteraction,maxNinstance), &
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source=0.0_pReal)
allocate(interaction_TransSlip(lattice_maxNinteraction,maxNinstance), &
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source=0.0_pReal)
allocate(interaction_TransTrans(lattice_maxNinteraction,maxNinstance), &
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source=0.0_pReal)
allocate(sbSv(6,6,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), &
source=0.0_pReal)
allocate(lamellarsizePerTransFamily(lattice_maxNtransFamily,maxNinstance), &
source=0.0_pReal)
allocate(sPerTransFamily(lattice_maxNtransFamily,maxNinstance),source=0.0_pReal)
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do phase = 1_pInt, size(phase_plasticityInstance)
if (phase_plasticity(phase) == PLASTICITY_DISLOTWIN_ID) then
instance = phase_plasticityInstance(phase)
prm => param(instance)
prm%Nslip = phaseConfig(phase)%getInts('nslip',defaultVal=emptyInt)
!if (size > Nchunks_SlipFamilies + 1_pInt) call IO_error(150_pInt,ext_msg=extmsg)
if (sum(prm%Nslip) > 0_pInt) then
prm%rho0 = phaseConfig(phase)%getFloats('rhoedge0')
prm%rhoDip0 = phaseConfig(phase)%getFloats('rhoedgedip0')
prm%burgers_slip = phaseConfig(phase)%getFloats('slipburgers')
prm%aTolRho = phaseConfig(phase)%getFloat('atol_rho')
prm%CEdgeDipMinDistance = phaseConfig(phase)%getFloat('cedgedipmindistance')
endif
prm%Ntwin = phaseConfig(phase)%getInts('ntwin', defaultVal=emptyInt)
!if (size > Nchunks_SlipFamilies + 1_pInt) call IO_error(150_pInt,ext_msg=extmsg)
if (sum(prm%Ntwin) > 0_pInt) then
prm%burgers_twin = phaseConfig(phase)%getFloats('twinburgers')
prm%xc_twin = phaseConfig(phase)%getFloat('xc_twin')
prm%aTolTwinFrac = phaseConfig(phase)%getFloat('atol_twinfrac')
prm%L0_twin = phaseConfig(phase)%getFloat('l0_twin')
endif
prm%Ntrans = phaseConfig(phase)%getInts('ntrans', defaultVal=emptyInt)
!if (size > Nchunks_SlipFamilies + 1_pInt) call IO_error(150_pInt,ext_msg=extmsg)
if (sum(prm%Ntrans) > 0_pInt) then
prm%burgers_trans = phaseConfig(phase)%getFloats('transburgers')
prm%Cthresholdtrans = phaseConfig(phase)%getFloat('cthresholdtrans', defaultVal=0.0_pReal) ! ToDo: How to handle that???
prm%transStackHeight = phaseConfig(phase)%getFloat('transstackheight', defaultVal=0.0_pReal) ! ToDo: How to handle that???
prm%Cmfptrans = phaseConfig(phase)%getFloat('cmfptrans', defaultVal=0.0_pReal) ! ToDo: How to handle that???
prm%deltaG = phaseConfig(phase)%getFloat('deltag')
prm%xc_trans = phaseConfig(phase)%getFloat('xc_trans', defaultVal=0.0_pReal) ! ToDo: How to handle that???
prm%L0_trans = phaseConfig(phase)%getFloat('l0_trans')
prm%aTolTransFrac = phaseConfig(phase)%getFloat('atol_transfrac')
endif
if (sum(prm%Ntwin) > 0_pInt .or. sum(prm%Ntrans) > 0_pInt) then
prm%SFE_0K = phaseConfig(phase)%getFloat('sfe_0k')
prm%dSFE_dT = phaseConfig(phase)%getFloat('dsfe_dt')
prm%VcrossSlip = phaseConfig(phase)%getFloat('vcrossslip')
endif
prm%sbResistance = phaseConfig(phase)%getFloat('shearbandresistance',defaultVal=0.0_pReal)
prm%sbVelocity = phaseConfig(phase)%getFloat('shearbandvelocity',defaultVal=0.0_pReal)
prm%CAtomicVolume = phaseConfig(phase)%getFloat('catomicvolume')
prm%GrainSize = phaseConfig(phase)%getFloat('grainsize')
prm%MaxTwinFraction = phaseConfig(phase)%getFloat('maxtwinfraction') ! ToDo: only used in postResults
prm%pShearBand = phaseConfig(phase)%getFloat('p_shearband')
prm%qShearBand = phaseConfig(phase)%getFloat('q_shearband')
prm%D0 = phaseConfig(phase)%getFloat('d0')
prm%Qsd = phaseConfig(phase)%getFloat('qsd')
prm%SolidSolutionStrength = phaseConfig(phase)%getFloat('solidsolutionstrength')
prm%dipoleFormationFactor= phaseConfig(phase)%getFloat('dipoleformationfactor', defaultVal=0.0_pReal) ! ToDo: How to handle that???
prm%sbQedge = phaseConfig(phase)%getFloat('qedgepersbsystem')
! case ('p_shearband')
! prm%pShearBand = IO_floatValue(line,chunkPos,2_pInt)
! case ('q_shearband')
! prm%qShearBand = IO_floatValue(line,chunkPos,2_pInt)
! case ('d0')
! prm%D0 = IO_floatValue(line,chunkPos,2_pInt)
! case ('qsd')
! prm%Qsd = IO_floatValue(line,chunkPos,2_pInt)
! case ('atol_twinfrac')
! prm%aTolTwinFrac = IO_floatValue(line,chunkPos,2_pInt)
! case ('atol_transfrac')
! prm%aTolTransFrac = IO_floatValue(line,chunkPos,2_pInt)
! case ('solidsolutionstrength')
! prm%SolidSolutionStrength = IO_floatValue(line,chunkPos,2_pInt)
! case ('l0_twin')
! prm%L0_twin = IO_floatValue(line,chunkPos,2_pInt)
! case ('vcrossslip')
! prm%VcrossSlip = IO_floatValue(line,chunkPos,2_pInt)
! case ('cedgedipmindistance')
! prm%CEdgeDipMinDistance = IO_floatValue(line,chunkPos,2_pInt)
! case ('sfe_0k')
! prm%SFE_0K = IO_floatValue(line,chunkPos,2_pInt)
! case ('dsfe_dt')
! prm%dSFE_dT = IO_floatValue(line,chunkPos,2_pInt)
! case ('dipoleformationfactor')
! prm%dipoleFormationFactor = IO_floatValue(line,chunkPos,2_pInt)
! case ('qedgepersbsystem')
! prm%sbQedge = IO_floatValue(line,chunkPos,2_pInt)
outputs = phaseConfig(phase)%getStrings('(output)', defaultVal=emptyString)
allocate(prm%outputID(0))
do i= 1_pInt, size(outputs)
outputID = undefined_ID
select case(outputs(i))
case ('edge_density')
outputID = edge_density_ID
outputSize = sum(prm%Nslip)
case ('dipole_density')
outputID = dipole_density_ID
outputSize = sum(prm%Nslip)
case ('shear_rate_slip','shearrate_slip')
outputID = shear_rate_slip_ID
outputSize = sum(prm%Nslip)
case ('accumulated_shear_slip')
outputID = accumulated_shear_slip_ID
outputSize = sum(prm%Nslip)
case ('mfp_slip')
outputID = mfp_slip_ID
outputSize = sum(prm%Nslip)
case ('resolved_stress_slip')
outputID = resolved_stress_slip_ID
outputSize = sum(prm%Nslip)
case ('threshold_stress_slip')
outputID= threshold_stress_slip_ID
outputSize = sum(prm%Nslip)
case ('edge_dipole_distance')
outputID = edge_dipole_distance_ID
outputSize = sum(prm%Nslip)
case ('stress_exponent')
outputID = stress_exponent_ID
outputSize = sum(prm%Nslip)
case ('twin_fraction')
outputID = twin_fraction_ID
outputSize = sum(prm%Ntwin)
case ('shear_rate_twin','shearrate_twin')
outputID= shear_rate_twin_ID
outputSize = sum(prm%Ntwin)
case ('accumulated_shear_twin')
outputID = accumulated_shear_twin_ID
outputSize = sum(prm%Ntwin)
case ('mfp_twin')
outputID = mfp_twin_ID
outputSize = sum(prm%Ntwin)
case ('resolved_stress_twin')
outputID = resolved_stress_twin_ID
outputSize = sum(prm%Ntwin)
case ('threshold_stress_twin')
outputID = threshold_stress_twin_ID
outputSize = sum(prm%Ntwin)
case ('resolved_stress_shearband')
outputID = resolved_stress_shearband_ID
outputSize = 6_pInt
case ('shear_rate_shearband','shearrate_shearband')
outputID = shear_rate_shearband_ID
outputSize = 6_pInt
case ('sb_eigenvalues')
outputID = sb_eigenvalues_ID
outputSize = 3_pInt
case ('sb_eigenvectors')
outputID = sb_eigenvectors_ID
outputSize = 3_pInt
case ('stress_trans_fraction')
outputID = stress_trans_fraction_ID
outputSize = sum(prm%Ntrans)
case ('strain_trans_fraction')
outputID = strain_trans_fraction_ID
outputSize = sum(prm%Ntrans)
case ('trans_fraction','total_trans_fraction')
outputID = trans_fraction_ID
outputSize = sum(prm%Ntrans)
end select
if (outputID /= undefined_ID) then
plastic_dislotwin_output(i,instance) = outputs(i)
plastic_dislotwin_sizePostResult(i,instance) = outputSize
prm%outputID = [prm%outputID , outputID]
endif
enddo
endif
enddo
rewind(fileUnit)
phase = 0_pInt
do while (trim(line) /= IO_EOF .and. IO_lc(IO_getTag(line,'<','>')) /= MATERIAL_partPhase) ! wind forward to <phase>
line = IO_read(fileUnit)
enddo
parsingFile: do while (trim(line) /= IO_EOF) ! read through sections of phase part
line = IO_read(fileUnit)
if (IO_isBlank(line)) cycle ! skip empty lines
if (IO_getTag(line,'<','>') /= '') then ! stop at next part
line = IO_read(fileUnit, .true.) ! reset IO_read
exit
endif
if (IO_getTag(line,'[',']') /= '') then ! next phase section
phase = phase + 1_pInt ! advance phase section counter
if (phase_plasticity(phase) == PLASTICITY_DISLOTWIN_ID) then
instance = phase_plasticityInstance(phase)
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Nchunks_SlipFamilies = count(lattice_NslipSystem(:,phase) > 0_pInt)
Nchunks_TwinFamilies = count(lattice_NtwinSystem(:,phase) > 0_pInt)
Nchunks_TransFamilies = count(lattice_NtransSystem(:,phase)> 0_pInt)
Nchunks_SlipSlip = maxval(lattice_interactionSlipSlip(:,:,phase))
Nchunks_SlipTwin = maxval(lattice_interactionSlipTwin(:,:,phase))
Nchunks_TwinSlip = maxval(lattice_interactionTwinSlip(:,:,phase))
Nchunks_TwinTwin = maxval(lattice_interactionTwinTwin(:,:,phase))
Nchunks_SlipTrans = maxval(lattice_interactionSlipTrans(:,:,phase))
Nchunks_TransSlip = maxval(lattice_interactionTransSlip(:,:,phase))
Nchunks_TransTrans = maxval(lattice_interactionTransTrans(:,:,phase))
if(allocated(tempPerSlip)) deallocate(tempPerSlip)
if(allocated(tempPerTwin)) deallocate(tempPerTwin)
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if(allocated(tempPerTrans)) deallocate(tempPerTrans)
allocate(tempPerSlip(Nchunks_SlipFamilies))
allocate(tempPerTwin(Nchunks_TwinFamilies))
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allocate(tempPerTrans(Nchunks_TransFamilies))
endif
cycle ! skip to next line
endif
if (phase > 0_pInt ) then; if (phase_plasticity(phase) == PLASTICITY_DISLOTWIN_ID) then ! do not short-circuit here (.and. with next if statemen). It's not safe in Fortran
instance = phase_plasticityInstance(phase) ! which instance of my plasticity is present phase
chunkPos = IO_stringPos(line)
tag = IO_lc(IO_stringValue(line,chunkPos,1_pInt)) ! extract key
select case(tag)
!--------------------------------------------------------------------------------------------------
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! parameters depending on number of slip system families
case ('nslip')
if (chunkPos(1) < Nchunks_SlipFamilies + 1_pInt) &
call IO_warning(50_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_DISLOTWIN_label//')')
if (chunkPos(1) > Nchunks_SlipFamilies + 1_pInt) &
call IO_error(150_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_DISLOTWIN_label//')')
Nchunks_SlipFamilies = chunkPos(1) - 1_pInt
do j = 1_pInt, Nchunks_SlipFamilies
Nslip(j,instance) = IO_intValue(line,chunkPos,1_pInt+j)
enddo
case ('qedge','v0','clambdaslip','tau_peierls','p_slip','q_slip')
do j = 1_pInt, Nchunks_SlipFamilies
tempPerSlip(j) = IO_floatValue(line,chunkPos,1_pInt+j)
enddo
select case(tag)
case ('qedge')
QedgePerSlipFamily(1:Nchunks_SlipFamilies,instance) = tempPerSlip(1:Nchunks_SlipFamilies)
case ('v0')
v0PerSlipFamily(1:Nchunks_SlipFamilies,instance) = tempPerSlip(1:Nchunks_SlipFamilies)
case ('clambdaslip')
CLambdaSlipPerSlipFamily(1:Nchunks_SlipFamilies,instance) = tempPerSlip(1:Nchunks_SlipFamilies)
case ('tau_peierls')
if (lattice_structure(phase) /= LATTICE_bcc_ID) &
call IO_warning(42_pInt,ext_msg=trim(tag)//' for non-bcc ('//PLASTICITY_DISLOTWIN_label//')')
tau_peierlsPerSlipFamily(1:Nchunks_SlipFamilies,instance) = tempPerSlip(1:Nchunks_SlipFamilies)
case ('p_slip')
pPerSlipFamily(1:Nchunks_SlipFamilies,instance) = tempPerSlip(1:Nchunks_SlipFamilies)
case ('q_slip')
qPerSlipFamily(1:Nchunks_SlipFamilies,instance) = tempPerSlip(1:Nchunks_SlipFamilies)
end select
!--------------------------------------------------------------------------------------------------
! parameters depending on slip number of twin families
case ('ntwin')
if (chunkPos(1) < Nchunks_TwinFamilies + 1_pInt) &
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call IO_warning(51_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_DISLOTWIN_label//')')
if (chunkPos(1) > Nchunks_TwinFamilies + 1_pInt) &
call IO_error(150_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_DISLOTWIN_label//')')
Nchunks_TwinFamilies = chunkPos(1) - 1_pInt
do j = 1_pInt, Nchunks_TwinFamilies
Ntwin(j,instance) = IO_intValue(line,chunkPos,1_pInt+j)
enddo
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case ('ndot0_twin','twinsize','twinburgers','r_twin')
do j = 1_pInt, Nchunks_TwinFamilies
tempPerTwin(j) = IO_floatValue(line,chunkPos,1_pInt+j)
enddo
select case(tag)
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case ('ndot0_twin')
if (lattice_structure(phase) == LATTICE_fcc_ID) &
call IO_warning(42_pInt,ext_msg=trim(tag)//' for fcc ('//PLASTICITY_DISLOTWIN_label//')')
Ndot0PerTwinFamily(1:Nchunks_TwinFamilies,instance) = tempPerTwin(1:Nchunks_TwinFamilies)
case ('twinsize')
twinsizePerTwinFamily(1:Nchunks_TwinFamilies,instance) = tempPerTwin(1:Nchunks_TwinFamilies)
case ('r_twin')
rPerTwinFamily(1:Nchunks_TwinFamilies,instance) = tempPerTwin(1:Nchunks_TwinFamilies)
end select
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!--------------------------------------------------------------------------------------------------
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! parameters depending on number of transformation system families
case ('ntrans')
if (chunkPos(1) < Nchunks_TransFamilies + 1_pInt) &
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call IO_warning(53_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_DISLOTWIN_label//')')
if (chunkPos(1) > Nchunks_TransFamilies + 1_pInt) &
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call IO_error(150_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_DISLOTWIN_label//')')
Nchunks_TransFamilies = chunkPos(1) - 1_pInt
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do j = 1_pInt, Nchunks_TransFamilies
Ntrans(j,instance) = IO_intValue(line,chunkPos,1_pInt+j)
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enddo
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case ('ndot0_trans','lamellarsize','transburgers','s_trans')
do j = 1_pInt, Nchunks_TransFamilies
tempPerTrans(j) = IO_floatValue(line,chunkPos,1_pInt+j)
enddo
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select case(tag)
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case ('ndot0_trans')
if (lattice_structure(phase) == LATTICE_fcc_ID) &
call IO_warning(42_pInt,ext_msg=trim(tag)//' for fcc ('//PLASTICITY_DISLOTWIN_label//')')
Ndot0PerTransFamily(1:Nchunks_TransFamilies,instance) = tempPerTrans(1:Nchunks_TransFamilies)
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case ('lamellarsize')
lamellarsizePerTransFamily(1:Nchunks_TransFamilies,instance) = tempPerTrans(1:Nchunks_TransFamilies)
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case ('s_trans')
sPerTransFamily(1:Nchunks_TransFamilies,instance) = tempPerTrans(1:Nchunks_TransFamilies)
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end select
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!--------------------------------------------------------------------------------------------------
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! parameters depending on number of interactions
case ('interaction_slipslip','interactionslipslip')
if (chunkPos(1) < 1_pInt + Nchunks_SlipSlip) &
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call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_DISLOTWIN_label//')')
do j = 1_pInt, Nchunks_SlipSlip
interaction_SlipSlip(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j)
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enddo
case ('interaction_sliptwin','interactionsliptwin')
if (chunkPos(1) < 1_pInt + Nchunks_SlipTwin) &
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call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_DISLOTWIN_label//')')
do j = 1_pInt, Nchunks_SlipTwin
interaction_SlipTwin(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j)
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enddo
case ('interaction_twinslip','interactiontwinslip')
if (chunkPos(1) < 1_pInt + Nchunks_TwinSlip) &
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call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_DISLOTWIN_label//')')
do j = 1_pInt, Nchunks_TwinSlip
interaction_TwinSlip(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j)
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enddo
case ('interaction_twintwin','interactiontwintwin')
if (chunkPos(1) < 1_pInt + Nchunks_TwinTwin) &
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call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_DISLOTWIN_label//')')
do j = 1_pInt, Nchunks_TwinTwin
interaction_TwinTwin(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j)
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enddo
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case ('interaction_sliptrans','interactionsliptrans')
if (chunkPos(1) < 1_pInt + Nchunks_SlipTrans) &
call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_DISLOTWIN_label//')')
do j = 1_pInt, Nchunks_SlipTrans
interaction_SlipTrans(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j)
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enddo
case ('interaction_transslip','interactiontransslip')
if (chunkPos(1) < 1_pInt + Nchunks_TransSlip) &
call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_DISLOTWIN_label//')')
do j = 1_pInt, Nchunks_TransSlip
interaction_TransSlip(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j)
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enddo
case ('interaction_transtrans','interactiontranstrans')
if (chunkPos(1) < 1_pInt + Nchunks_TransTrans) &
call IO_warning(52_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_DISLOTWIN_label//')')
do j = 1_pInt, Nchunks_TransTrans
interaction_TransTrans(j,instance) = IO_floatValue(line,chunkPos,1_pInt+j)
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enddo
end select
endif; endif
enddo parsingFile
sanityChecks: do phase = 1_pInt, size(phase_plasticity)
myPhase: if (phase_plasticity(phase) == PLASTICITY_dislotwin_ID) then
instance = phase_plasticityInstance(phase)
if (sum(Nslip(:,instance)) < 0_pInt) &
call IO_error(211_pInt,el=instance,ext_msg='Nslip ('//PLASTICITY_DISLOTWIN_label//')')
if (sum(Ntwin(:,instance)) < 0_pInt) &
call IO_error(211_pInt,el=instance,ext_msg='Ntwin ('//PLASTICITY_DISLOTWIN_label//')')
if (sum(Ntrans(:,instance)) < 0_pInt) &
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call IO_error(211_pInt,el=instance,ext_msg='Ntrans ('//PLASTICITY_DISLOTWIN_label//')')
do f = 1_pInt,lattice_maxNslipFamily
if (Nslip(f,instance) > 0_pInt) then
! if (rhoEdge0(f,instance) < 0.0_pReal) &
! call IO_error(211_pInt,el=instance,ext_msg='rhoEdge0 ('//PLASTICITY_DISLOTWIN_label//')')
! if (rhoEdgeDip0(f,instance) < 0.0_pReal) &
! call IO_error(211_pInt,el=instance,ext_msg='rhoEdgeDip0 ('//PLASTICITY_DISLOTWIN_label//')')
! if (burgersPerSlipFamily(f,instance) <= 0.0_pReal) &
! call IO_error(211_pInt,el=instance,ext_msg='slipBurgers ('//PLASTICITY_DISLOTWIN_label//')')
if (v0PerSlipFamily(f,instance) <= 0.0_pReal) &
call IO_error(211_pInt,el=instance,ext_msg='v0 ('//PLASTICITY_DISLOTWIN_label//')')
if (tau_peierlsPerSlipFamily(f,instance) < 0.0_pReal) &
call IO_error(211_pInt,el=instance,ext_msg='tau_peierls ('//PLASTICITY_DISLOTWIN_label//')')
endif
enddo
do f = 1_pInt,lattice_maxNtwinFamily
if (Ntwin(f,instance) > 0_pInt) then
! if (burgersPerTwinFamily(f,instance) <= 0.0_pReal) &
! call IO_error(211_pInt,el=instance,ext_msg='twinburgers ('//PLASTICITY_DISLOTWIN_label//')')
if (Ndot0PerTwinFamily(f,instance) < 0.0_pReal) &
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call IO_error(211_pInt,el=instance,ext_msg='ndot0_twin ('//PLASTICITY_DISLOTWIN_label//')')
endif
enddo
if (param(instance)%CAtomicVolume <= 0.0_pReal) &
call IO_error(211_pInt,el=instance,ext_msg='cAtomicVolume ('//PLASTICITY_DISLOTWIN_label//')')
if (param(instance)%D0 <= 0.0_pReal) &
call IO_error(211_pInt,el=instance,ext_msg='D0 ('//PLASTICITY_DISLOTWIN_label//')')
if (param(instance)%Qsd <= 0.0_pReal) &
call IO_error(211_pInt,el=instance,ext_msg='Qsd ('//PLASTICITY_DISLOTWIN_label//')')
if (sum(Ntwin(:,instance)) > 0_pInt) then
if (dEq0(param(instance)%SFE_0K) .and. &
dEq0(param(instance)%dSFE_dT) .and. &
lattice_structure(phase) == LATTICE_fcc_ID) &
call IO_error(211_pInt,el=instance,ext_msg='SFE0K ('//PLASTICITY_DISLOTWIN_label//')')
if (param(instance)%aTolRho <= 0.0_pReal) &
call IO_error(211_pInt,el=instance,ext_msg='aTolRho ('//PLASTICITY_DISLOTWIN_label//')')
if (param(instance)%aTolTwinFrac <= 0.0_pReal) &
call IO_error(211_pInt,el=instance,ext_msg='aTolTwinFrac ('//PLASTICITY_DISLOTWIN_label//')')
endif
if (sum(Ntrans(:,instance)) > 0_pInt) then
if (dEq0(param(instance)%SFE_0K) .and. &
dEq0(param(instance)%dSFE_dT) .and. &
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lattice_structure(phase) == LATTICE_fcc_ID) &
call IO_error(211_pInt,el=instance,ext_msg='SFE0K ('//PLASTICITY_DISLOTWIN_label//')')
if (param(instance)%aTolTransFrac <= 0.0_pReal) &
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call IO_error(211_pInt,el=instance,ext_msg='aTolTransFrac ('//PLASTICITY_DISLOTWIN_label//')')
endif
if (param(instance)%sbResistance < 0.0_pReal) &
call IO_error(211_pInt,el=instance,ext_msg='sbResistance ('//PLASTICITY_DISLOTWIN_label//')')
if (param(instance)%sbVelocity < 0.0_pReal) &
call IO_error(211_pInt,el=instance,ext_msg='sbVelocity ('//PLASTICITY_DISLOTWIN_label//')')
if (param(instance)%sbVelocity > 0.0_pReal .and. &
param(instance)%pShearBand <= 0.0_pReal) &
call IO_error(211_pInt,el=instance,ext_msg='pShearBand ('//PLASTICITY_DISLOTWIN_label//')')
if (dNeq0(param(instance)%dipoleFormationFactor) .and. &
dNeq(param(instance)%dipoleFormationFactor, 1.0_pReal)) &
call IO_error(211_pInt,el=instance,ext_msg='dipoleFormationFactor ('//PLASTICITY_DISLOTWIN_label//')')
if (param(instance)%sbVelocity > 0.0_pReal .and. &
param(instance)%qShearBand <= 0.0_pReal) &
call IO_error(211_pInt,el=instance,ext_msg='qShearBand ('//PLASTICITY_DISLOTWIN_label//')')
!--------------------------------------------------------------------------------------------------
! Determine total number of active slip or twin systems
Nslip(:,instance) = min(lattice_NslipSystem(:,phase),Nslip(:,instance))
Ntwin(:,instance) = min(lattice_NtwinSystem(:,phase),Ntwin(:,instance))
Ntrans(:,instance)= min(lattice_NtransSystem(:,phase),Ntrans(:,instance))
totalNslip(instance) = sum(Nslip(:,instance))
totalNtwin(instance) = sum(Ntwin(:,instance))
totalNtrans(instance) = sum(Ntrans(:,instance))
endif myPhase
enddo sanityChecks
!--------------------------------------------------------------------------------------------------
! allocation of variables whose size depends on the total number of active slip systems
maxTotalNslip = maxval(totalNslip)
maxTotalNtwin = maxval(totalNtwin)
maxTotalNtrans = maxval(totalNtrans)
allocate(QedgePerSlipSystem(maxTotalNslip, maxNinstance), source=0.0_pReal)
allocate(v0PerSlipSystem(maxTotalNslip, maxNinstance), source=0.0_pReal)
allocate(Ndot0PerTwinSystem(maxTotalNtwin, maxNinstance), source=0.0_pReal)
allocate(Ndot0PerTransSystem(maxTotalNtrans, maxNinstance), source=0.0_pReal)
allocate(tau_r_twin(maxTotalNtwin, maxNinstance), source=0.0_pReal)
allocate(tau_r_trans(maxTotalNtrans, maxNinstance), source=0.0_pReal)
allocate(twinsizePerTwinSystem(maxTotalNtwin, maxNinstance), source=0.0_pReal)
allocate(CLambdaSlipPerSlipSystem(maxTotalNslip, maxNinstance),source=0.0_pReal)
allocate(lamellarsizePerTransSystem(maxTotalNtrans, maxNinstance),source=0.0_pReal)
allocate(interactionMatrix_SlipSlip(maxval(totalNslip),& ! slip resistance from slip activity
maxval(totalNslip),&
maxNinstance), source=0.0_pReal)
allocate(interactionMatrix_SlipTwin(maxval(totalNslip),& ! slip resistance from twin activity
maxval(totalNtwin),&
maxNinstance), source=0.0_pReal)
allocate(interactionMatrix_TwinSlip(maxval(totalNtwin),& ! twin resistance from slip activity
maxval(totalNslip),&
maxNinstance), source=0.0_pReal)
allocate(interactionMatrix_TwinTwin(maxval(totalNtwin),& ! twin resistance from twin activity
maxval(totalNtwin),&
maxNinstance), source=0.0_pReal)
allocate(interactionMatrix_SlipTrans(maxval(totalNslip),& ! slip resistance from trans activity
maxval(totalNtrans),&
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maxNinstance), source=0.0_pReal)
allocate(interactionMatrix_TransSlip(maxval(totalNtrans),& ! trans resistance from slip activity
maxval(totalNslip),&
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maxNinstance), source=0.0_pReal)
allocate(interactionMatrix_TransTrans(maxval(totalNtrans),& ! trans resistance from trans activity
maxval(totalNtrans),&
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maxNinstance), source=0.0_pReal)
allocate(forestProjectionEdge(maxTotalNslip,maxTotalNslip,maxNinstance), &
source=0.0_pReal)
allocate(projectionMatrix_Trans(maxTotalNtrans,maxTotalNslip,maxNinstance), &
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source=0.0_pReal)
allocate(Ctwin66(6,6,maxTotalNtwin,maxNinstance), source=0.0_pReal)
allocate(Ctwin3333(3,3,3,3,maxTotalNtwin,maxNinstance), source=0.0_pReal)
allocate(Ctrans66(6,6,maxTotalNtrans,maxNinstance), source=0.0_pReal)
allocate(Ctrans3333(3,3,3,3,maxTotalNtrans,maxNinstance), source=0.0_pReal)
allocate(state(maxNinstance))
allocate(state0(maxNinstance))
allocate(dotState(maxNinstance))
initializeInstances: do phase = 1_pInt, size(phase_plasticity)
myPhase2: if (phase_plasticity(phase) == PLASTICITY_dislotwin_ID) then
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NofMyPhase=count(material_phase==phase)
instance = phase_plasticityInstance(phase)
ns = totalNslip(instance)
nt = totalNtwin(instance)
nr = totalNtrans(instance)
!--------------------------------------------------------------------------------------------------
! Determine size of postResults array
outputsLoop: do o = 1_pInt,plastic_dislotwin_Noutput(instance)
select case(param(instance)%outputID(o))
case(edge_density_ID, &
dipole_density_ID, &
shear_rate_slip_ID, &
accumulated_shear_slip_ID, &
mfp_slip_ID, &
resolved_stress_slip_ID, &
threshold_stress_slip_ID, &
edge_dipole_distance_ID, &
stress_exponent_ID &
)
mySize = ns
case(twin_fraction_ID, &
shear_rate_twin_ID, &
accumulated_shear_twin_ID, &
mfp_twin_ID, &
resolved_stress_twin_ID, &
threshold_stress_twin_ID &
)
mySize = nt
case(resolved_stress_shearband_ID, &
shear_rate_shearband_ID &
)
mySize = 6_pInt
case(sb_eigenvalues_ID)
mySize = 3_pInt
case(sb_eigenvectors_ID)
mySize = 9_pInt
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case(stress_trans_fraction_ID, &
strain_trans_fraction_ID, &
trans_fraction_ID &
)
mySize = nr
end select
if (mySize > 0_pInt) then ! any meaningful output found
plastic_dislotwin_sizePostResult(o,instance) = mySize
plastic_dislotwin_sizePostResults(instance) = plastic_dislotwin_sizePostResults(instance) + mySize
endif
enddo outputsLoop
!--------------------------------------------------------------------------------------------------
! allocate state arrays
sizeDotState = int(size(['rho ','rhoDip ','accshearslip']),pInt) * ns &
+ int(size(['twinFraction','accsheartwin']),pInt) * nt &
+ int(size(['stressTransFraction','strainTransFraction']),pInt) * nr
sizeDeltaState = 0_pInt
sizeState = sizeDotState &
+ int(size(['invLambdaSlip ','invLambdaSlipTwin ','invLambdaSlipTrans',&
'meanFreePathSlip ','tauSlipThreshold ']),pInt) * ns &
+ int(size(['invLambdaTwin ','meanFreePathTwin','tauTwinThreshold',&
'twinVolume ']),pInt) * nt &
+ int(size(['invLambdaTrans ','meanFreePathTrans','tauTransThreshold', &
'martensiteVolume ']),pInt) * nr
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plasticState(phase)%sizeState = sizeState
plasticState(phase)%sizeDotState = sizeDotState
plasticState(phase)%sizeDeltaState = sizeDeltaState
plasticState(phase)%sizePostResults = plastic_dislotwin_sizePostResults(instance)
plasticState(phase)%nSlip = totalNslip(instance)
plasticState(phase)%nTwin = totalNtwin(instance)
plasticState(phase)%nTrans= totalNtrans(instance)
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allocate(plasticState(phase)%aTolState (sizeState), source=0.0_pReal)
allocate(plasticState(phase)%state0 (sizeState,NofMyPhase), source=0.0_pReal)
allocate(plasticState(phase)%partionedState0 (sizeState,NofMyPhase), source=0.0_pReal)
allocate(plasticState(phase)%subState0 (sizeState,NofMyPhase), source=0.0_pReal)
allocate(plasticState(phase)%state (sizeState,NofMyPhase), source=0.0_pReal)
allocate(plasticState(phase)%dotState (sizeDotState,NofMyPhase), source=0.0_pReal)
allocate(plasticState(phase)%deltaState (sizeDeltaState,NofMyPhase), source=0.0_pReal)
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if (any(numerics_integrator == 1_pInt)) then
allocate(plasticState(phase)%previousDotState (sizeDotState,NofMyPhase), source=0.0_pReal)
allocate(plasticState(phase)%previousDotState2 (sizeDotState,NofMyPhase), source=0.0_pReal)
endif
if (any(numerics_integrator == 4_pInt)) &
allocate(plasticState(phase)%RK4dotState (sizeDotState,NofMyPhase), source=0.0_pReal)
if (any(numerics_integrator == 5_pInt)) &
allocate(plasticState(phase)%RKCK45dotState (6,sizeDotState,NofMyPhase),source=0.0_pReal)
offset_slip = 2_pInt*plasticState(phase)%nslip
plasticState(phase)%slipRate => &
plasticState(phase)%dotState(offset_slip+1:offset_slip+plasticState(phase)%nslip,1:NofMyPhase)
plasticState(phase)%accumulatedSlip => &
plasticState(phase)%state (offset_slip+1:offset_slip+plasticState(phase)%nslip,1:NofMyPhase)
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prm%burgers_slip = math_expand(prm%burgers_slip,Nslip(:,instance))
prm%burgers_twin = math_expand(prm%burgers_twin,Ntwin(:,instance))
prm%burgers_trans = math_expand(prm%burgers_trans,Ntrans(:,instance))
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!* Process slip related parameters ------------------------------------------------
slipFamiliesLoop: do f = 1_pInt,lattice_maxNslipFamily
index_myFamily = sum(Nslip(1:f-1_pInt,instance)) ! index in truncated slip system list
slipSystemsLoop: do j = 1_pInt,Nslip(f,instance)
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!* Burgers vector,
! dislocation velocity prefactor,
! mean free path prefactor,
! and minimum dipole distance
QedgePerSlipSystem(index_myFamily+j,instance) = &
QedgePerSlipFamily(f,instance)
v0PerSlipSystem(index_myFamily+j,instance) = &
v0PerSlipFamily(f,instance)
CLambdaSlipPerSlipSystem(index_myFamily+j,instance) = &
CLambdaSlipPerSlipFamily(f,instance)
!* Calculation of forest projections for edge dislocations
!* Interaction matrices
do o = 1_pInt,lattice_maxNslipFamily
index_otherFamily = sum(Nslip(1:o-1_pInt,instance))
do k = 1_pInt,Nslip(o,instance) ! loop over (active) systems in other family (slip)
forestProjectionEdge(index_myFamily+j,index_otherFamily+k,instance) = &
abs(math_mul3x3(lattice_sn(:,sum(lattice_NslipSystem(1:f-1,phase))+j,phase), &
lattice_st(:,sum(lattice_NslipSystem(1:o-1,phase))+k,phase)))
interactionMatrix_SlipSlip(index_myFamily+j,index_otherFamily+k,instance) = &
interaction_SlipSlip(lattice_interactionSlipSlip( &
sum(lattice_NslipSystem(1:f-1,phase))+j, &
sum(lattice_NslipSystem(1:o-1,phase))+k, &
phase), instance )
enddo; enddo
do o = 1_pInt,lattice_maxNtwinFamily
index_otherFamily = sum(Ntwin(1:o-1_pInt,instance))
do k = 1_pInt,Ntwin(o,instance) ! loop over (active) systems in other family (twin)
interactionMatrix_SlipTwin(index_myFamily+j,index_otherFamily+k,instance) = &
interaction_SlipTwin(lattice_interactionSlipTwin( &
sum(lattice_NslipSystem(1:f-1_pInt,phase))+j, &
sum(lattice_NtwinSystem(1:o-1_pInt,phase))+k, &
phase), instance )
enddo; enddo
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do o = 1_pInt,lattice_maxNtransFamily
index_otherFamily = sum(Ntrans(1:o-1_pInt,instance))
do k = 1_pInt,Ntrans(o,instance) ! loop over (active) systems in other family (trans)
interactionMatrix_SlipTrans(index_myFamily+j,index_otherFamily+k,instance) = &
interaction_SlipTrans(lattice_interactionSlipTrans( &
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sum(lattice_NslipSystem(1:f-1_pInt,phase))+j, &
sum(lattice_NtransSystem(1:o-1_pInt,phase))+k, &
phase), instance )
enddo; enddo
enddo slipSystemsLoop
enddo slipFamiliesLoop
!* Process twin related parameters ------------------------------------------------
twinFamiliesLoop: do f = 1_pInt,lattice_maxNtwinFamily
index_myFamily = sum(Ntwin(1:f-1_pInt,instance)) ! index in truncated twin system list
twinSystemsLoop: do j = 1_pInt,Ntwin(f,instance)
! nucleation rate prefactor,
! and twin size
Ndot0PerTwinSystem(index_myFamily+j,instance) = &
Ndot0PerTwinFamily(f,instance)
twinsizePerTwinSystem(index_myFamily+j,instance) = &
twinsizePerTwinFamily(f,instance)
!* Rotate twin elasticity matrices
index_otherFamily = sum(lattice_NtwinSystem(1:f-1_pInt,phase)) ! index in full lattice twin list
do l = 1_pInt,3_pInt; do m = 1_pInt,3_pInt; do n = 1_pInt,3_pInt; do o = 1_pInt,3_pInt
do p = 1_pInt,3_pInt; do q = 1_pInt,3_pInt; do r = 1_pInt,3_pInt; do s = 1_pInt,3_pInt
Ctwin3333(l,m,n,o,index_myFamily+j,instance) = &
Ctwin3333(l,m,n,o,index_myFamily+j,instance) + &
lattice_C3333(p,q,r,s,phase) * &
lattice_Qtwin(l,p,index_otherFamily+j,phase) * &
lattice_Qtwin(m,q,index_otherFamily+j,phase) * &
lattice_Qtwin(n,r,index_otherFamily+j,phase) * &
lattice_Qtwin(o,s,index_otherFamily+j,phase)
enddo; enddo; enddo; enddo
enddo; enddo; enddo; enddo
Ctwin66(1:6,1:6,index_myFamily+j,instance) = &
math_Mandel3333to66(Ctwin3333(1:3,1:3,1:3,1:3,index_myFamily+j,instance))
!* Interaction matrices
do o = 1_pInt,lattice_maxNslipFamily
index_otherFamily = sum(Nslip(1:o-1_pInt,instance))
do k = 1_pInt,Nslip(o,instance) ! loop over (active) systems in other family (slip)
interactionMatrix_TwinSlip(index_myFamily+j,index_otherFamily+k,instance) = &
interaction_TwinSlip(lattice_interactionTwinSlip( &
sum(lattice_NtwinSystem(1:f-1_pInt,phase))+j, &
sum(lattice_NslipSystem(1:o-1_pInt,phase))+k, &
phase), instance )
enddo; enddo
do o = 1_pInt,lattice_maxNtwinFamily
index_otherFamily = sum(Ntwin(1:o-1_pInt,instance))
do k = 1_pInt,Ntwin(o,instance) ! loop over (active) systems in other family (twin)
interactionMatrix_TwinTwin(index_myFamily+j,index_otherFamily+k,instance) = &
interaction_TwinTwin(lattice_interactionTwinTwin( &
sum(lattice_NtwinSystem(1:f-1_pInt,phase))+j, &
sum(lattice_NtwinSystem(1:o-1_pInt,phase))+k, &
phase), instance )
enddo; enddo
enddo twinSystemsLoop
enddo twinFamiliesLoop
!* Process transformation related parameters ------------------------------------------------
transFamiliesLoop: do f = 1_pInt,lattice_maxNtransFamily
index_myFamily = sum(Ntrans(1:f-1_pInt,instance)) ! index in truncated trans system list
transSystemsLoop: do j = 1_pInt,Ntrans(f,instance)
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!* Burgers vector,
! nucleation rate prefactor,
! and martensite size
Ndot0PerTransSystem(index_myFamily+j,instance) = &
Ndot0PerTransFamily(f,instance)
lamellarsizePerTransSystem(index_myFamily+j,instance) = &
lamellarsizePerTransFamily(f,instance)
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!* Rotate trans elasticity matrices
index_otherFamily = sum(lattice_NtransSystem(1:f-1_pInt,phase)) ! index in full lattice trans list
do l = 1_pInt,3_pInt; do m = 1_pInt,3_pInt; do n = 1_pInt,3_pInt; do o = 1_pInt,3_pInt
do p = 1_pInt,3_pInt; do q = 1_pInt,3_pInt; do r = 1_pInt,3_pInt; do s = 1_pInt,3_pInt
Ctrans3333(l,m,n,o,index_myFamily+j,instance) = &
Ctrans3333(l,m,n,o,index_myFamily+j,instance) + &
lattice_trans_C3333(p,q,r,s,phase) * &
lattice_Qtrans(l,p,index_otherFamily+j,phase) * &
lattice_Qtrans(m,q,index_otherFamily+j,phase) * &
lattice_Qtrans(n,r,index_otherFamily+j,phase) * &
lattice_Qtrans(o,s,index_otherFamily+j,phase)
enddo; enddo; enddo; enddo
enddo; enddo; enddo; enddo
Ctrans66(1:6,1:6,index_myFamily+j,instance) = &
math_Mandel3333to66(Ctrans3333(1:3,1:3,1:3,1:3,index_myFamily+j,instance))
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!* Interaction matrices
do o = 1_pInt,lattice_maxNslipFamily
index_otherFamily = sum(Nslip(1:o-1_pInt,instance))
do k = 1_pInt,Nslip(o,instance) ! loop over (active) systems in other family (slip)
interactionMatrix_TransSlip(index_myFamily+j,index_otherFamily+k,instance) = &
interaction_TransSlip(lattice_interactionTransSlip( &
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sum(lattice_NtransSystem(1:f-1_pInt,phase))+j, &
sum(lattice_NslipSystem(1:o-1_pInt,phase))+k, &
phase), instance )
enddo; enddo
do o = 1_pInt,lattice_maxNtransFamily
index_otherFamily = sum(Ntrans(1:o-1_pInt,instance))
do k = 1_pInt,Ntrans(o,instance) ! loop over (active) systems in other family (trans)
interactionMatrix_TransTrans(index_myFamily+j,index_otherFamily+k,instance) = &
interaction_TransTrans(lattice_interactionTransTrans( &
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sum(lattice_NtransSystem(1:f-1_pInt,phase))+j, &
sum(lattice_NtransSystem(1:o-1_pInt,phase))+k, &
phase), instance )
enddo; enddo
!* Projection matrices for shear from slip systems to fault-band (twin) systems for strain-induced martensite nucleation
select case(trans_lattice_structure(phase))
case (LATTICE_bcc_ID)
do o = 1_pInt,lattice_maxNtransFamily
index_otherFamily = sum(Nslip(1:o-1_pInt,instance))
do k = 1_pInt,Nslip(o,instance) ! loop over (active) systems in other family (trans)
projectionMatrix_Trans(index_myFamily+j,index_otherFamily+k,instance) = &
lattice_projectionTrans( sum(lattice_NtransSystem(1:f-1,phase))+j, &
sum(lattice_NslipSystem(1:o-1,phase))+k, phase)
enddo; enddo
end select
enddo transSystemsLoop
enddo transFamiliesLoop
startIndex=1_pInt
endIndex=ns
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state(instance)%rhoEdge=>plasticState(phase)%state(startIndex:endIndex,:)
dotState(instance)%rhoEdge=>plasticState(phase)%dotState(startIndex:endIndex,:)
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plasticState(phase)%state0(startIndex:endIndex,:) = &
spread(math_expand(prm%rho0,Nslip(instance,:)),2,NofMyPhase)
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plasticState(phase)%aTolState(startIndex:endIndex) = param(instance)%aTolRho
startIndex=endIndex+1
endIndex=endIndex+ns
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state(instance)%rhoEdgeDip=>plasticState(phase)%state(startIndex:endIndex,:)
dotState(instance)%rhoEdgeDip=>plasticState(phase)%dotState(startIndex:endIndex,:)
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plasticState(phase)%state0(startIndex:endIndex,:) = &
spread(math_expand(prm%rhoDip0,Nslip(instance,:)),2,NofMyPhase)
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plasticState(phase)%aTolState(startIndex:endIndex) = param(instance)%aTolRho
startIndex=endIndex+1
endIndex=endIndex+ns
state(instance)%accshear_slip=>plasticState(phase)%state(startIndex:endIndex,:)
dotState(instance)%accshear_slip=>plasticState(phase)%dotState(startIndex:endIndex,:)
plasticState(phase)%aTolState(startIndex:endIndex) = 1e-6_pReal
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startIndex=endIndex+1
endIndex=endIndex+nt
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state(instance)%twinFraction=>plasticState(phase)%state(startIndex:endIndex,:)
dotState(instance)%twinFraction=>plasticState(phase)%dotState(startIndex:endIndex,:)
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plasticState(phase)%aTolState(startIndex:endIndex) = param(instance)%aTolTwinFrac
startIndex=endIndex+1
endIndex=endIndex+nt
state(instance)%accshear_twin=>plasticState(phase)%state(startIndex:endIndex,:)
dotState(instance)%accshear_twin=>plasticState(phase)%dotState(startIndex:endIndex,:)
plasticState(phase)%aTolState(startIndex:endIndex) = 1e-6_pReal
startIndex=endIndex+1
endIndex=endIndex+nr
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state(instance)%stressTransFraction=>plasticState(phase)%state(startIndex:endIndex,:)
dotState(instance)%stressTransFraction=>plasticState(phase)%dotState(startIndex:endIndex,:)
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plasticState(phase)%aTolState(startIndex:endIndex) = param(instance)%aTolTransFrac
startIndex=endIndex+1
endIndex=endIndex+nr
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state(instance)%strainTransFraction=>plasticState(phase)%state(startIndex:endIndex,:)
dotState(instance)%strainTransFraction=>plasticState(phase)%dotState(startIndex:endIndex,:)
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plasticState(phase)%aTolState(startIndex:endIndex) = param(instance)%aTolTransFrac
startIndex=endIndex+1
endIndex=endIndex+ns
state(instance)%invLambdaSlip=>plasticState(phase)%state(startIndex:endIndex,:)
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invLambdaSlip0 = spread(0.0_pReal,1,ns)
forall (i = 1_pInt:ns) &
invLambdaSlip0(i) = sqrt(dot_product(math_expand(prm%rho0,Nslip(instance,:))+ &
math_expand(prm%rhoDip0,Nslip(instance,:)),forestProjectionEdge(1:ns,i,instance)))/ &
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CLambdaSlipPerSlipSystem(i,instance)
plasticState(phase)%state0(startIndex:endIndex,:) = &
spread(math_expand(invLambdaSlip0,Nslip(instance,:)),2, NofMyPhase)
startIndex=endIndex+1
endIndex=endIndex+ns
state(instance)%invLambdaSlipTwin=>plasticState(phase)%state(startIndex:endIndex,:)
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startIndex=endIndex+1
endIndex=endIndex+nt
state(instance)%invLambdaTwin=>plasticState(phase)%state(startIndex:endIndex,:)
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startIndex=endIndex+1
endIndex=endIndex+ns
state(instance)%invLambdaSlipTrans=>plasticState(phase)%state(startIndex:endIndex,:)
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startIndex=endIndex+1
endIndex=endIndex+nr
state(instance)%invLambdaTrans=>plasticState(phase)%state(startIndex:endIndex,:)
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startIndex=endIndex+1
endIndex=endIndex+ns
state(instance)%mfp_slip=>plasticState(phase)%state(startIndex:endIndex,:)
state0(instance)%mfp_slip=>plasticState(phase)%state0(startIndex:endIndex,:)
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MeanFreePathSlip0 = param(instance)%GrainSize/(1.0_pReal+invLambdaSlip0*param(instance)%GrainSize)
plasticState(phase)%state0(startIndex:endIndex,:) = &
spread(math_expand(MeanFreePathSlip0,Nslip(instance,:)),2, NofMyPhase)
startIndex=endIndex+1
endIndex=endIndex+nt
state(instance)%mfp_twin=>plasticState(phase)%state(startIndex:endIndex,:)
MeanFreePathTwin0 = spread(param(instance)%GrainSize,1,nt)
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plasticState(phase)%state0(startIndex:endIndex,:) = &
spread(math_expand(MeanFreePathTwin0,Ntwin(instance,:)),2, NofMyPhase)
startIndex=endIndex+1
endIndex=endIndex+nr
state(instance)%mfp_trans=>plasticState(phase)%state(startIndex:endIndex,:)
MeanFreePathTrans0 = spread(param(instance)%GrainSize,1,nr)
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plasticState(phase)%state0(startIndex:endIndex,:) = &
spread(math_expand(MeanFreePathTrans0,Ntrans(instance,:)),2, NofMyPhase)
startIndex=endIndex+1
endIndex=endIndex+ns
state(instance)%threshold_stress_slip=>plasticState(phase)%state(startIndex:endIndex,:)
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tauSlipThreshold0 = spread(0.0_pReal,1,ns)
forall (i = 1_pInt:ns) tauSlipThreshold0(i) = &
lattice_mu(phase)*prm%burgers_slip(i) * &
sqrt(dot_product(math_expand(prm%rho0 + prm%rhoDip0,Nslip(instance,:)),&
interactionMatrix_SlipSlip(i,1:ns,instance)))
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plasticState(phase)%state0(startIndex:endIndex,:) = &
spread(math_expand(tauSlipThreshold0,Nslip(instance,:)),2, NofMyPhase)
startIndex=endIndex+1
endIndex=endIndex+nt
state(instance)%threshold_stress_twin=>plasticState(phase)%state(startIndex:endIndex,:)
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startIndex=endIndex+1
endIndex=endIndex+nr
state(instance)%threshold_stress_trans=>plasticState(phase)%state(startIndex:endIndex,:)
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startIndex=endIndex+1
endIndex=endIndex+nt
state(instance)%twinVolume=>plasticState(phase)%state(startIndex:endIndex,:)
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TwinVolume0= spread(0.0_pReal,1,nt)
forall (i = 1_pInt:nt) TwinVolume0(i) = &
(PI/4.0_pReal)*twinsizePerTwinSystem(i,instance)*MeanFreePathTwin0(i)**2.0_pReal
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plasticState(phase)%state0(startIndex:endIndex,:) = &
spread(math_expand(TwinVolume0,Ntwin(instance,:)),2, NofMyPhase)
startIndex=endIndex+1
endIndex=endIndex+nr
state(instance)%martensiteVolume=>plasticState(phase)%state(startIndex:endIndex,:)
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MartensiteVolume0= spread(0.0_pReal,1,nr)
forall (i = 1_pInt:nr) MartensiteVolume0(i) = &
(PI/4.0_pReal)*lamellarsizePerTransSystem(i,instance)*MeanFreePathTrans0(i)**2.0_pReal
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plasticState(phase)%state0(startIndex:endIndex,:) = &
spread(math_expand(MartensiteVolume0,Ntrans(instance,:)),2, NofMyPhase)
endif myPhase2
enddo initializeInstances
end subroutine plastic_dislotwin_init
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!--------------------------------------------------------------------------------------------------
!> @brief returns the homogenized elasticity matrix
!--------------------------------------------------------------------------------------------------
function plastic_dislotwin_homogenizedC(ipc,ip,el)
use material, only: &
phase_plasticityInstance, &
phaseAt, phasememberAt
use lattice, only: &
lattice_C66
implicit none
real(pReal), dimension(6,6) :: &
plastic_dislotwin_homogenizedC
integer(pInt), intent(in) :: &
ipc, & !< component-ID of integration point
ip, & !< integration point
el !< element
integer(pInt) :: instance,ns,nt,nr,i, &
ph, &
of
real(pReal) :: sumf, sumftr
!* Shortened notation
of = phasememberAt(ipc,ip,el)
ph = phaseAt(ipc,ip,el)
instance = phase_plasticityInstance(ph)
ns = totalNslip(instance)
nt = totalNtwin(instance)
nr = totalNtrans(instance)
!* Total twin volume fraction
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sumf = sum(state(instance)%twinFraction(1_pInt:nt,of)) ! safe for nt == 0
!* Total transformed volume fraction
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sumftr = sum(state(instance)%stressTransFraction(1_pInt:nr,of)) + &
sum(state(instance)%strainTransFraction(1_pInt:nr,of))
!* Homogenized elasticity matrix
plastic_dislotwin_homogenizedC = (1.0_pReal-sumf-sumftr)*lattice_C66(1:6,1:6,ph)
do i=1_pInt,nt
plastic_dislotwin_homogenizedC = plastic_dislotwin_homogenizedC &
+ state(instance)%twinFraction(i,of)*Ctwin66(1:6,1:6,i,instance)
enddo
do i=1_pInt,nr
plastic_dislotwin_homogenizedC = plastic_dislotwin_homogenizedC &
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+ (state(instance)%stressTransFraction(i,of) + state(instance)%strainTransFraction(i,of))*&
Ctrans66(1:6,1:6,i,instance)
enddo
end function plastic_dislotwin_homogenizedC
!--------------------------------------------------------------------------------------------------
!> @brief calculates derived quantities from state
!--------------------------------------------------------------------------------------------------
subroutine plastic_dislotwin_microstructure(temperature,ipc,ip,el)
use math, only: &
pi
use material, only: &
material_phase, &
phase_plasticityInstance, &
!plasticState, & !!!!delete
phaseAt, phasememberAt
use lattice, only: &
lattice_mu, &
lattice_nu
implicit none
integer(pInt), intent(in) :: &
ipc, & !< component-ID of integration point
ip, & !< integration point
el !< element
real(pReal), intent(in) :: &
temperature !< temperature at IP
integer(pInt) :: &
instance, &
ns,nt,nr,s,t,r, &
ph, &
of
real(pReal) :: &
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sumf,sfe,x0,sumftr
real(pReal), dimension(totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: fOverStacksize
real(pReal), dimension(totalNtrans(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
ftransOverLamellarSize
type(tParameters), pointer :: prm
!* Shortened notation
of = phasememberAt(ipc,ip,el)
ph = phaseAt(ipc,ip,el)
instance = phase_plasticityInstance(ph)
ns = totalNslip(instance)
nt = totalNtwin(instance)
nr = totalNtrans(instance)
prm => param(instance)
!* Total twin volume fraction
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sumf = sum(state(instance)%twinFraction(1_pInt:nt,of)) ! safe for nt == 0
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!* Total transformed volume fraction
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sumftr = sum(state(instance)%stressTransFraction(1_pInt:nr,of)) + &
sum(state(instance)%strainTransFraction(1_pInt:nr,of))
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!* Stacking fault energy
sfe = param(instance)%SFE_0K + &
param(instance)%dSFE_dT * Temperature
!* rescaled twin volume fraction for topology
forall (t = 1_pInt:nt) &
fOverStacksize(t) = &
state(instance)%twinFraction(t,of)/twinsizePerTwinSystem(t,instance)
!* rescaled trans volume fraction for topology
forall (r = 1_pInt:nr) &
ftransOverLamellarSize(r) = &
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(state(instance)%stressTransFraction(r,of)+state(instance)%strainTransFraction(r,of))/&
lamellarsizePerTransSystem(r,instance)
!* 1/mean free distance between 2 forest dislocations seen by a moving dislocation
forall (s = 1_pInt:ns) &
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state(instance)%invLambdaSlip(s,of) = &
sqrt(dot_product((state(instance)%rhoEdge(1_pInt:ns,of)+state(instance)%rhoEdgeDip(1_pInt:ns,of)),&
forestProjectionEdge(1:ns,s,instance)))/ &
CLambdaSlipPerSlipSystem(s,instance)
!* 1/mean free distance between 2 twin stacks from different systems seen by a moving dislocation
!$OMP CRITICAL (evilmatmul)
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state(instance)%invLambdaSlipTwin(1_pInt:ns,of) = 0.0_pReal
if (nt > 0_pInt .and. ns > 0_pInt) &
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state(instance)%invLambdaSlipTwin(1_pInt:ns,of) = &
matmul(interactionMatrix_SlipTwin(1:ns,1:nt,instance),fOverStacksize(1:nt))/(1.0_pReal-sumf)
!$OMP END CRITICAL (evilmatmul)
!* 1/mean free distance between 2 twin stacks from different systems seen by a growing twin
!$OMP CRITICAL (evilmatmul)
if (nt > 0_pInt) &
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state(instance)%invLambdaTwin(1_pInt:nt,of) = &
matmul(interactionMatrix_TwinTwin(1:nt,1:nt,instance),fOverStacksize(1:nt))/(1.0_pReal-sumf)
!$OMP END CRITICAL (evilmatmul)
!* 1/mean free distance between 2 martensite lamellar from different systems seen by a moving dislocation
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state(instance)%invLambdaSlipTrans(1_pInt:ns,of) = 0.0_pReal
if (nr > 0_pInt .and. ns > 0_pInt) &
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state(instance)%invLambdaSlipTrans(1_pInt:ns,of) = &
matmul(interactionMatrix_SlipTrans(1:ns,1:nr,instance),ftransOverLamellarSize(1:nr))/(1.0_pReal-sumftr)
!* 1/mean free distance between 2 martensite stacks from different systems seen by a growing martensite (1/lambda_trans)
if (nr > 0_pInt) &
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state(instance)%invLambdaTrans(1_pInt:nr,of) = &
matmul(interactionMatrix_TransTrans(1:nr,1:nr,instance),ftransOverLamellarSize(1:nr))/(1.0_pReal-sumftr)
!* mean free path between 2 obstacles seen by a moving dislocation
do s = 1_pInt,ns
if ((nt > 0_pInt) .or. (nr > 0_pInt)) then
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state(instance)%mfp_slip(s,of) = &
param(instance)%GrainSize/(1.0_pReal+param(instance)%GrainSize*&
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(state(instance)%invLambdaSlip(s,of) + &
state(instance)%invLambdaSlipTwin(s,of) + &
state(instance)%invLambdaSlipTrans(s,of)))
else
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state(instance)%mfp_slip(s,of) = &
param(instance)%GrainSize/&
(1.0_pReal+param(instance)%GrainSize*(state(instance)%invLambdaSlip(s,of))) !!!!!! correct?
endif
enddo
!* mean free path between 2 obstacles seen by a growing twin
forall (t = 1_pInt:nt) &
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state(instance)%mfp_twin(t,of) = &
param(instance)%Cmfptwin*param(instance)%GrainSize/&
(1.0_pReal+param(instance)%GrainSize*state(ph)%invLambdaTwin(t,of))
!* mean free path between 2 obstacles seen by a growing martensite
forall (r = 1_pInt:nr) &
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state(instance)%mfp_trans(r,of) = &
param(instance)%Cmfptrans*param(instance)%GrainSize/&
(1.0_pReal+param(instance)%GrainSize*state(instance)%invLambdaTrans(r,of))
!* threshold stress for dislocation motion
forall (s = 1_pInt:ns) &
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state(instance)%threshold_stress_slip(s,of) = &
lattice_mu(ph)*prm%burgers_slip(s)*&
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sqrt(dot_product((state(instance)%rhoEdge(1_pInt:ns,of)+state(instance)%rhoEdgeDip(1_pInt:ns,of)),&
interactionMatrix_SlipSlip(s,1:ns,instance)))
!* threshold stress for growing twin
forall (t = 1_pInt:nt) &
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state(instance)%threshold_stress_twin(t,of) = &
param(instance)%Cthresholdtwin* &
(sfe/(3.0_pReal**prm%burgers_twin(t)) &
+ 3.0_pReal*prm%burgers_twin(t)*lattice_mu(ph)/&
(param(instance)%L0_twin*prm%burgers_slip(t)) &
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)
!* threshold stress for growing martensite
forall (r = 1_pInt:nr) &
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state(instance)%threshold_stress_trans(r,of) = &
param(instance)%Cthresholdtrans* &
(sfe/(3.0_pReal*prm%burgers_trans(r)) &
+ 3.0_pReal*prm%burgers_trans(r)*lattice_mu(ph)/&
(param(instance)%L0_trans*prm%burgers_slip(r))&
+ param(instance)%transStackHeight*param(instance)%deltaG/ &
(3.0_pReal*prm%burgers_trans(r)) &
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)
!* final twin volume after growth
forall (t = 1_pInt:nt) &
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state(instance)%twinVolume(t,of) = &
(pi/4.0_pReal)*twinsizePerTwinSystem(t,instance)*&
state(instance)%mfp_twin(t,of)**2.0_pReal
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!* final martensite volume after growth
forall (r = 1_pInt:nr) &
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state(instance)%martensiteVolume(r,of) = &
(pi/4.0_pReal)*lamellarsizePerTransSystem(r,instance)*&
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state(instance)%mfp_trans(r,of)**(2.0_pReal)
!* equilibrium separation of partial dislocations (twin)
do t = 1_pInt,nt
x0 = lattice_mu(ph)*prm%burgers_twin(t)**(2.0_pReal)/&
(sfe*8.0_pReal*pi)*(2.0_pReal+lattice_nu(ph))/(1.0_pReal-lattice_nu(ph))
tau_r_twin(t,instance)= &
lattice_mu(ph)*prm%burgers_twin(t)/(2.0_pReal*pi)*&
(1/(x0+param(instance)%xc_twin)+cos(pi/3.0_pReal)/x0)
enddo
!* equilibrium separation of partial dislocations (trans)
do r = 1_pInt,nr
x0 = lattice_mu(ph)*prm%burgers_trans(r)**(2.0_pReal)/&
(sfe*8.0_pReal*pi)*(2.0_pReal+lattice_nu(ph))/(1.0_pReal-lattice_nu(ph))
tau_r_trans(r,instance)= &
lattice_mu(ph)*prm%burgers_trans(r)/(2.0_pReal*pi)*&
(1/(x0+param(instance)%xc_trans)+cos(pi/3.0_pReal)/x0)
enddo
end subroutine plastic_dislotwin_microstructure
!--------------------------------------------------------------------------------------------------
!> @brief calculates plastic velocity gradient and its tangent
!--------------------------------------------------------------------------------------------------
subroutine plastic_dislotwin_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,Temperature,ipc,ip,el)
use prec, only: &
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tol_math_check, &
dNeq0
use math, only: &
math_Plain3333to99, &
math_Mandel6to33, &
math_Mandel33to6, &
math_eigenValuesVectorsSym, &
math_tensorproduct33, &
math_symmetric33, &
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math_mul33x3
use material, only: &
material_phase, &
phase_plasticityInstance, &
phaseAt, phasememberAt
use lattice, only: &
lattice_Sslip, &
lattice_Sslip_v, &
lattice_Stwin, &
lattice_Stwin_v, &
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lattice_Strans, &
lattice_Strans_v, &
lattice_maxNslipFamily,&
lattice_maxNtwinFamily, &
lattice_maxNtransFamily, &
lattice_NslipSystem, &
lattice_NtwinSystem, &
lattice_NtransSystem, &
lattice_shearTwin, &
lattice_structure, &
lattice_fcc_twinNucleationSlipPair, &
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LATTICE_fcc_ID
implicit none
integer(pInt), intent(in) :: ipc,ip,el
real(pReal), intent(in) :: Temperature
real(pReal), dimension(6), intent(in) :: Tstar_v
real(pReal), dimension(3,3), intent(out) :: Lp
real(pReal), dimension(9,9), intent(out) :: dLp_dTstar99
integer(pInt) :: instance,ph,of,ns,nt,nr,f,i,j,k,l,m,n,index_myFamily,s1,s2
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real(pReal) :: sumf,sumftr,StressRatio_p,StressRatio_pminus1,StressRatio_r,BoltzmannRatio,DotGamma0,Ndot0_twin,stressRatio, &
Ndot0_trans,StressRatio_s
real(pReal), dimension(3,3,3,3) :: dLp_dTstar3333
real(pReal), dimension(totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
gdot_slip,dgdot_dtauslip,tau_slip
real(pReal), dimension(totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
gdot_twin,dgdot_dtautwin,tau_twin
real(pReal), dimension(totalNtrans(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
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gdot_trans,dgdot_dtautrans,tau_trans
real(pReal), dimension(6) :: gdot_sb,dgdot_dtausb,tau_sb
real(pReal), dimension(3,3) :: eigVectors, sb_Smatrix
real(pReal), dimension(3) :: eigValues, sb_s, sb_m
logical :: error
real(pReal), dimension(3,6), parameter :: &
sb_sComposition = &
reshape(real([&
1, 0, 1, &
1, 0,-1, &
1, 1, 0, &
1,-1, 0, &
0, 1, 1, &
0, 1,-1 &
],pReal),[ 3,6]), &
sb_mComposition = &
reshape(real([&
1, 0,-1, &
1, 0,+1, &
1,-1, 0, &
1, 1, 0, &
0, 1,-1, &
0, 1, 1 &
],pReal),[ 3,6])
type(tParameters), pointer :: prm
!* Shortened notation
of = phasememberAt(ipc,ip,el)
ph = phaseAt(ipc,ip,el)
instance = phase_plasticityInstance(ph)
ns = totalNslip(instance)
nt = totalNtwin(instance)
nr = totalNtrans(instance)
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Lp = 0.0_pReal
dLp_dTstar3333 = 0.0_pReal
prm => param(instance)
!--------------------------------------------------------------------------------------------------
! Dislocation glide part
gdot_slip = 0.0_pReal
dgdot_dtauslip = 0.0_pReal
j = 0_pInt
slipFamiliesLoop: do f = 1_pInt,lattice_maxNslipFamily
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family
slipSystemsLoop: do i = 1_pInt,Nslip(f,instance)
j = j+1_pInt
!* Calculation of Lp
!* Resolved shear stress on slip system
tau_slip(j) = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,ph))
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if((abs(tau_slip(j))-state(instance)%threshold_stress_slip(j,of)) > tol_math_check) then
!* Stress ratios
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stressRatio =((abs(tau_slip(j))- state(instance)%threshold_stress_slip(j,of))/&
(param(instance)%SolidSolutionStrength+tau_peierlsPerSlipFamily(f,instance)))
StressRatio_p = stressRatio** pPerSlipFamily(f,instance)
StressRatio_pminus1 = stressRatio**(pPerSlipFamily(f,instance)-1.0_pReal)
!* Boltzmann ratio
BoltzmannRatio = QedgePerSlipSystem(j,instance)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = &
state(instance)%rhoEdge(j,of)*prm%burgers_slip(j)*&
v0PerSlipSystem(j,instance)
!* Shear rates due to slip
gdot_slip(j) = DotGamma0 &
* exp(-BoltzmannRatio*(1-StressRatio_p) ** qPerSlipFamily(f,instance)) &
* sign(1.0_pReal,tau_slip(j))
!* Derivatives of shear rates
dgdot_dtauslip(j) = &
abs(gdot_slip(j))*BoltzmannRatio*pPerSlipFamily(f,instance)&
*qPerSlipFamily(f,instance)/&
(param(instance)%SolidSolutionStrength+tau_peierlsPerSlipFamily(f,instance))*&
StressRatio_pminus1*(1-StressRatio_p)**(qPerSlipFamily(f,instance)-1.0_pReal)
endif
!* Plastic velocity gradient for dislocation glide
Lp = Lp + gdot_slip(j)*lattice_Sslip(:,:,1,index_myFamily+i,ph)
!* Calculation of the tangent of Lp
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
dLp_dTstar3333(k,l,m,n) = &
dLp_dTstar3333(k,l,m,n) + dgdot_dtauslip(j)*&
lattice_Sslip(k,l,1,index_myFamily+i,ph)*&
lattice_Sslip(m,n,1,index_myFamily+i,ph)
enddo slipSystemsLoop
enddo slipFamiliesLoop
!--------------------------------------------------------------------------------------------------
! correct Lp and dLp_dTstar3333 for twinned and transformed fraction
!* Total twin volume fraction
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sumf = sum(state(instance)%twinFraction(1_pInt:nt,of)) ! safe for nt == 0
!* Total transformed volume fraction
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sumftr = sum(state(instance)%stressTransFraction(1_pInt:nr,of)) + &
sum(state(instance)%strainTransFraction(1_pInt:nr,of))
Lp = Lp * (1.0_pReal - sumf - sumftr)
dLp_dTstar3333 = dLp_dTstar3333 * (1.0_pReal - sumf - sumftr)
!--------------------------------------------------------------------------------------------------
! Shear banding (shearband) part
if(dNeq0(param(instance)%sbVelocity) .and. dNeq0(param(instance)%sbResistance)) then
gdot_sb = 0.0_pReal
dgdot_dtausb = 0.0_pReal
call math_eigenValuesVectorsSym(math_Mandel6to33(Tstar_v),eigValues,eigVectors,error)
do j = 1_pInt,6_pInt
sb_s = 0.5_pReal*sqrt(2.0_pReal)*math_mul33x3(eigVectors,sb_sComposition(1:3,j))
sb_m = 0.5_pReal*sqrt(2.0_pReal)*math_mul33x3(eigVectors,sb_mComposition(1:3,j))
sb_Smatrix = math_tensorproduct33(sb_s,sb_m)
sbSv(1:6,j,ipc,ip,el) = math_Mandel33to6(math_symmetric33(sb_Smatrix))
!* Calculation of Lp
!* Resolved shear stress on shear banding system
tau_sb(j) = dot_product(Tstar_v,sbSv(1:6,j,ipc,ip,el))
!* Stress ratios
if (abs(tau_sb(j)) < tol_math_check) then
StressRatio_p = 0.0_pReal
StressRatio_pminus1 = 0.0_pReal
else
StressRatio_p = (abs(tau_sb(j))/param(instance)%sbResistance)&
**param(instance)%pShearBand
StressRatio_pminus1 = (abs(tau_sb(j))/param(instance)%sbResistance)&
**(param(instance)%pShearBand-1.0_pReal)
endif
!* Boltzmann ratio
BoltzmannRatio = param(instance)%sbQedge/(kB*Temperature)
!* Initial shear rates
DotGamma0 = param(instance)%sbVelocity
!* Shear rates due to shearband
gdot_sb(j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**&
param(instance)%qShearBand)*sign(1.0_pReal,tau_sb(j))
!* Derivatives of shear rates
dgdot_dtausb(j) = &
((abs(gdot_sb(j))*BoltzmannRatio*&
param(instance)%pShearBand*param(instance)%qShearBand)/&
param(instance)%sbResistance)*&
StressRatio_pminus1*(1_pInt-StressRatio_p)**(param(instance)%qShearBand-1.0_pReal)
!* Plastic velocity gradient for shear banding
Lp = Lp + gdot_sb(j)*sb_Smatrix
!* Calculation of the tangent of Lp
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
dLp_dTstar3333(k,l,m,n) = &
dLp_dTstar3333(k,l,m,n) + dgdot_dtausb(j)*&
sb_Smatrix(k,l)*&
sb_Smatrix(m,n)
enddo
end if
!--------------------------------------------------------------------------------------------------
! Mechanical twinning part
gdot_twin = 0.0_pReal
dgdot_dtautwin = 0.0_pReal
j = 0_pInt
twinFamiliesLoop: do f = 1_pInt,lattice_maxNtwinFamily
index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,ph)) ! at which index starts my family
twinSystemsLoop: do i = 1_pInt,Ntwin(f,instance)
j = j+1_pInt
!* Calculation of Lp
!* Resolved shear stress on twin system
tau_twin(j) = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,ph))
!* Stress ratios
if (tau_twin(j) > tol_math_check) then
StressRatio_r = (state(instance)%threshold_stress_twin(j,of)/tau_twin(j))**rPerTwinFamily(f,instance)
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!* Shear rates and their derivatives due to twin
select case(lattice_structure(ph))
case (LATTICE_fcc_ID)
s1=lattice_fcc_twinNucleationSlipPair(1,index_myFamily+i)
s2=lattice_fcc_twinNucleationSlipPair(2,index_myFamily+i)
if (tau_twin(j) < tau_r_twin(j,instance)) then
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Ndot0_twin=(abs(gdot_slip(s1))*(state(instance)%rhoEdge(s2,of)+state(ph)%rhoEdgeDip(s2,of))+& !!!!! correct?
abs(gdot_slip(s2))*(state(instance)%rhoEdge(s1,of)+state(instance)%rhoEdgeDip(s1,of)))/&
(param(instance)%L0_twin*prm%burgers_slip(j))*&
(1.0_pReal-exp(-param(instance)%VcrossSlip/(kB*Temperature)*&
(tau_r_twin(j,instance)-tau_twin(j))))
else
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Ndot0_twin=0.0_pReal
end if
case default
Ndot0_twin=Ndot0PerTwinSystem(j,instance)
end select
gdot_twin(j) = &
(1.0_pReal-sumf-sumftr)*lattice_shearTwin(index_myFamily+i,ph)*&
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state(instance)%twinVolume(j,of)*Ndot0_twin*exp(-StressRatio_r)
dgdot_dtautwin(j) = ((gdot_twin(j)*rPerTwinFamily(f,instance))/tau_twin(j))*StressRatio_r
endif
!* Plastic velocity gradient for mechanical twinning
Lp = Lp + gdot_twin(j)*lattice_Stwin(:,:,index_myFamily+i,ph)
!* Calculation of the tangent of Lp
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
dLp_dTstar3333(k,l,m,n) = &
dLp_dTstar3333(k,l,m,n) + dgdot_dtautwin(j)*&
lattice_Stwin(k,l,index_myFamily+i,ph)*&
lattice_Stwin(m,n,index_myFamily+i,ph)
enddo twinSystemsLoop
enddo twinFamiliesLoop
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!* Phase transformation part
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gdot_trans = 0.0_pReal
dgdot_dtautrans = 0.0_pReal
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j = 0_pInt
transFamiliesLoop: do f = 1_pInt,lattice_maxNtransFamily
index_myFamily = sum(lattice_NtransSystem(1:f-1_pInt,ph)) ! at which index starts my family
transSystemsLoop: do i = 1_pInt,Ntrans(f,instance)
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j = j+1_pInt
!* Resolved shear stress on transformation system
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tau_trans(j) = dot_product(Tstar_v,lattice_Strans_v(:,index_myFamily+i,ph))
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!* Stress ratios
if (tau_trans(j) > tol_math_check) then
StressRatio_s = (state(instance)%threshold_stress_trans(j,of)/tau_trans(j))**sPerTransFamily(f,instance)
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!* Shear rates and their derivatives due to transformation
select case(lattice_structure(ph))
case (LATTICE_fcc_ID)
s1=lattice_fcc_twinNucleationSlipPair(1,index_myFamily+i)
s2=lattice_fcc_twinNucleationSlipPair(2,index_myFamily+i)
if (tau_trans(j) < tau_r_trans(j,instance)) then
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Ndot0_trans=(abs(gdot_slip(s1))*(state(instance)%rhoEdge(s2,of)+state(instance)%rhoEdgeDip(s2,of))+& !!!!! correct?
abs(gdot_slip(s2))*(state(instance)%rhoEdge(s1,of)+state(instance)%rhoEdgeDip(s1,of)))/&
(param(instance)%L0_trans*prm%burgers_slip(j))*&
(1.0_pReal-exp(-param(instance)%VcrossSlip/(kB*Temperature)*&
(tau_r_trans(j,instance)-tau_trans(j))))
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else
Ndot0_trans=0.0_pReal
end if
case default
Ndot0_trans=Ndot0PerTransSystem(j,instance)
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end select
gdot_trans(j) = &
(1.0_pReal-sumf-sumftr)*&
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state(instance)%martensiteVolume(j,of)*Ndot0_trans*exp(-StressRatio_s)
dgdot_dtautrans(j) = ((gdot_trans(j)*sPerTransFamily(f,instance))/tau_trans(j))*StressRatio_s
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endif
!* Plastic velocity gradient for phase transformation
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Lp = Lp + gdot_trans(j)*lattice_Strans(:,:,index_myFamily+i,ph)
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!* Calculation of the tangent of Lp
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
dLp_dTstar3333(k,l,m,n) = &
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dLp_dTstar3333(k,l,m,n) + dgdot_dtautrans(j)*&
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lattice_Strans(k,l,index_myFamily+i,ph)*&
lattice_Strans(m,n,index_myFamily+i,ph)
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enddo transSystemsLoop
enddo transFamiliesLoop
dLp_dTstar99 = math_Plain3333to99(dLp_dTstar3333)
end subroutine plastic_dislotwin_LpAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief calculates the rate of change of microstructure
!--------------------------------------------------------------------------------------------------
subroutine plastic_dislotwin_dotState(Tstar_v,Temperature,ipc,ip,el)
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use prec, only: &
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tol_math_check, &
dEq0
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use math, only: &
pi
use material, only: &
material_phase, &
phase_plasticityInstance, &
plasticState, &
phaseAt, phasememberAt
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use lattice, only: &
lattice_Sslip_v, &
lattice_Stwin_v, &
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lattice_Strans_v, &
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lattice_maxNslipFamily, &
lattice_maxNtwinFamily, &
lattice_maxNtransFamily, &
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lattice_NslipSystem, &
lattice_NtwinSystem, &
lattice_NtransSystem, &
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lattice_sheartwin, &
lattice_mu, &
lattice_structure, &
lattice_fcc_twinNucleationSlipPair, &
lattice_fccTobcc_transNucleationTwinPair, &
lattice_fccTobcc_shearCritTrans, &
LATTICE_fcc_ID
implicit none
real(pReal), dimension(6), intent(in):: &
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
real(pReal), intent(in) :: &
temperature !< temperature at integration point
integer(pInt), intent(in) :: &
ipc, & !< component-ID of integration point
ip, & !< integration point
el !< element
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integer(pInt) :: instance,ns,nt,nr,f,i,j,index_myFamily,s1,s2, &
ph, &
of
real(pReal) :: sumf,sumftr,StressRatio_p,StressRatio_pminus1,BoltzmannRatio,DotGamma0,&
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EdgeDipMinDistance,AtomicVolume,VacancyDiffusion,StressRatio_r,Ndot0_twin,stressRatio,&
Ndot0_trans,StressRatio_s,EdgeDipDistance, ClimbVelocity,DotRhoEdgeDipClimb,DotRhoEdgeDipAnnihilation, &
DotRhoDipFormation,DotRhoMultiplication,DotRhoEdgeEdgeAnnihilation
real(pReal), dimension(totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
gdot_slip,tau_slip
real(pReal), dimension(totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
tau_twin
real(pReal), dimension(totalNtrans(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
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tau_trans
type(tParameters), pointer :: prm
!* Shortened notation
of = phasememberAt(ipc,ip,el)
ph = phaseAt(ipc,ip,el)
instance = phase_plasticityInstance(ph)
ns = totalNslip(instance)
nt = totalNtwin(instance)
nr = totalNtrans(instance)
prm => param(instance)
!* Total twin volume fraction
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sumf = sum(state(instance)%twinFraction(1_pInt:nt,of)) ! safe for nt == 0
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plasticState(ph)%dotState(:,of) = 0.0_pReal
!* Total transformed volume fraction
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sumftr = sum(state(instance)%stressTransFraction(1_pInt:nr,of)) + &
sum(state(instance)%strainTransFraction(1_pInt:nr,of))
!* Dislocation density evolution
gdot_slip = 0.0_pReal
j = 0_pInt
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do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family
do i = 1_pInt,Nslip(f,instance) ! 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(:,1,index_myFamily+i,ph))
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if((abs(tau_slip(j))-state(instance)%threshold_stress_slip(j,of)) > tol_math_check) then
!* Stress ratios
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stressRatio =((abs(tau_slip(j))- state(instance)%threshold_stress_slip(j,of))/&
(param(instance)%SolidSolutionStrength+tau_peierlsPerSlipFamily(f,instance)))
StressRatio_p = stressRatio** pPerSlipFamily(f,instance)
StressRatio_pminus1 = stressRatio**(pPerSlipFamily(f,instance)-1.0_pReal)
!* Boltzmann ratio
BoltzmannRatio = QedgePerSlipSystem(j,instance)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = &
plasticState(ph)%state(j, of)*prm%burgers_slip(j)*&
v0PerSlipSystem(j,instance)
!* Shear rates due to slip
gdot_slip(j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)** &
qPerSlipFamily(f,instance))*sign(1.0_pReal,tau_slip(j))
endif
!* Multiplication
DotRhoMultiplication = abs(gdot_slip(j))/&
(prm%burgers_slip(j)*state(instance)%mfp_slip(j,of))
!* Dipole formation
EdgeDipMinDistance = &
param(instance)%CEdgeDipMinDistance*prm%burgers_slip(j)
if (dEq0(tau_slip(j))) then
DotRhoDipFormation = 0.0_pReal
else
EdgeDipDistance = &
(3.0_pReal*lattice_mu(ph)*prm%burgers_slip(j))/&
(16.0_pReal*pi*abs(tau_slip(j)))
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if (EdgeDipDistance>state(instance)%mfp_slip(j,of)) EdgeDipDistance=state(instance)%mfp_slip(j,of)
if (EdgeDipDistance<EdgeDipMinDistance) EdgeDipDistance=EdgeDipMinDistance
DotRhoDipFormation = &
((2.0_pReal*(EdgeDipDistance-EdgeDipMinDistance))/prm%burgers_slip(j))*&
state(instance)%rhoEdge(j,of)*abs(gdot_slip(j))*param(instance)%dipoleFormationFactor
endif
!* Spontaneous annihilation of 2 single edge dislocations
DotRhoEdgeEdgeAnnihilation = &
((2.0_pReal*EdgeDipMinDistance)/prm%burgers_slip(j))*&
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state(instance)%rhoEdge(j,of)*abs(gdot_slip(j))
!* Spontaneous annihilation of a single edge dislocation with a dipole constituent
DotRhoEdgeDipAnnihilation = &
((2.0_pReal*EdgeDipMinDistance)/prm%burgers_slip(j))*&
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state(instance)%rhoEdgeDip(j,of)*abs(gdot_slip(j))
!* Dislocation dipole climb
AtomicVolume = &
param(instance)%CAtomicVolume*prm%burgers_slip(j)**(3.0_pReal)
VacancyDiffusion = &
param(instance)%D0*exp(-param(instance)%Qsd/(kB*Temperature))
if (dEq0(tau_slip(j))) then
DotRhoEdgeDipClimb = 0.0_pReal
else
if (dEq0(EdgeDipDistance-EdgeDipMinDistance)) then
DotRhoEdgeDipClimb = 0.0_pReal
else
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ClimbVelocity = 3.0_pReal*lattice_mu(ph)*VacancyDiffusion*AtomicVolume/ &
(2.0_pReal*pi*kB*Temperature*(EdgeDipDistance+EdgeDipMinDistance))
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DotRhoEdgeDipClimb = 4.0_pReal*ClimbVelocity*state(instance)%rhoEdgeDip(j,of)/ &
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(EdgeDipDistance-EdgeDipMinDistance)
endif
endif
!* Edge dislocation density rate of change
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dotState(instance)%rhoEdge(j,of) = &
DotRhoMultiplication-DotRhoDipFormation-DotRhoEdgeEdgeAnnihilation
!* Edge dislocation dipole density rate of change
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dotState(instance)%rhoEdgeDip(j,of) = &
DotRhoDipFormation-DotRhoEdgeDipAnnihilation-DotRhoEdgeDipClimb
!* Dotstate for accumulated shear due to slip
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dotState(instance)%accshear_slip(j,of) = abs(gdot_slip(j))
enddo
enddo
!* Twin volume fraction evolution
j = 0_pInt
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do f = 1_pInt,lattice_maxNtwinFamily ! loop over all twin families
index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,ph)) ! at which index starts my family
do i = 1_pInt,Ntwin(f,instance) ! process each (active) twin system in family
j = j+1_pInt
!* Resolved shear stress on twin system
tau_twin(j) = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,ph))
!* Stress ratios
if (tau_twin(j) > tol_math_check) then
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StressRatio_r = (state(instance)%threshold_stress_twin(j,of)/&
tau_twin(j))**rPerTwinFamily(f,instance)
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!* Shear rates and their derivatives due to twin
select case(lattice_structure(ph))
case (LATTICE_fcc_ID)
s1=lattice_fcc_twinNucleationSlipPair(1,index_myFamily+i)
s2=lattice_fcc_twinNucleationSlipPair(2,index_myFamily+i)
if (tau_twin(j) < tau_r_twin(j,instance)) then
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Ndot0_twin=(abs(gdot_slip(s1))*(state(instance)%rhoEdge(s2,of)+state(instance)%rhoEdgeDip(s2,of))+&
abs(gdot_slip(s2))*(state(instance)%rhoEdge(s1,of)+state(instance)%rhoEdgeDip(s1,of)))/&
(param(instance)%L0_twin*prm%burgers_slip(j))*&
(1.0_pReal-exp(-param(instance)%VcrossSlip/(kB*Temperature)*&
(tau_r_twin(j,instance)-tau_twin(j))))
else
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Ndot0_twin=0.0_pReal
end if
case default
Ndot0_twin=Ndot0PerTwinSystem(j,instance)
end select
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dotState(instance)%twinFraction(j,of) = &
(1.0_pReal-sumf-sumftr)*&
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state(instance)%twinVolume(j,of)*Ndot0_twin*exp(-StressRatio_r)
!* Dotstate for accumulated shear due to twin
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dotState(instance)%accshear_twin(j,of) = dotState(instance)%twinFraction(j,of) * &
lattice_sheartwin(index_myfamily+i,ph)
endif
enddo
enddo
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!* Transformation volume fraction evolution
j = 0_pInt
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do f = 1_pInt,lattice_maxNtransFamily ! loop over all trans families
index_myFamily = sum(lattice_NtransSystem(1:f-1_pInt,ph)) ! at which index starts my family
do i = 1_pInt,Ntrans(f,instance) ! process each (active) trans system in family
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j = j+1_pInt
!* Resolved shear stress on transformation system
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tau_trans(j) = dot_product(Tstar_v,lattice_Strans_v(:,index_myFamily+i,ph))
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!* Stress ratios
if (tau_trans(j) > tol_math_check) then
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StressRatio_s = (state(instance)%threshold_stress_trans(j,of)/&
tau_trans(j))**sPerTransFamily(f,instance)
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!* Shear rates and their derivatives due to transformation
select case(lattice_structure(ph))
case (LATTICE_fcc_ID)
s1=lattice_fcc_twinNucleationSlipPair(1,index_myFamily+i)
s2=lattice_fcc_twinNucleationSlipPair(2,index_myFamily+i)
if (tau_trans(j) < tau_r_trans(j,instance)) then
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Ndot0_trans=(abs(gdot_slip(s1))*(state(instance)%rhoEdge(s2,of)+state(instance)%rhoEdgeDip(s2,of))+&
abs(gdot_slip(s2))*(state(instance)%rhoEdge(s1,of)+state(instance)%rhoEdgeDip(s1,of)))/&
(param(instance)%L0_trans*prm%burgers_slip(j))*&
(1.0_pReal-exp(-param(instance)%VcrossSlip/(kB*Temperature)*&
(tau_r_trans(j,instance)-tau_trans(j))))
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else
Ndot0_trans=0.0_pReal
end if
case default
Ndot0_trans=Ndot0PerTransSystem(j,instance)
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end select
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dotState(instance)%strainTransFraction(j,of) = &
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(1.0_pReal-sumf-sumftr)*&
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state(instance)%martensiteVolume(j,of)*Ndot0_trans*exp(-StressRatio_s)
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!* Dotstate for accumulated shear due to transformation
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!dotState(instance)%accshear_trans(j,of) = dotState(instance)%strainTransFraction(j,of) * &
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! lattice_sheartrans(index_myfamily+i,ph)
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endif
enddo
enddo
end subroutine plastic_dislotwin_dotState
!--------------------------------------------------------------------------------------------------
!> @brief return array of constitutive results
!--------------------------------------------------------------------------------------------------
function plastic_dislotwin_postResults(Tstar_v,Temperature,ipc,ip,el)
use prec, only: &
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tol_math_check, &
dEq0
use math, only: &
pi, &
math_Mandel6to33, &
math_eigenValuesSym33, &
math_eigenValuesVectorsSym33
use material, only: &
material_phase, &
phase_plasticityInstance,&
phaseAt, phasememberAt
use lattice, only: &
lattice_Sslip_v, &
lattice_Stwin_v, &
lattice_maxNslipFamily, &
lattice_maxNtwinFamily, &
lattice_NslipSystem, &
lattice_NtwinSystem, &
lattice_shearTwin, &
lattice_mu, &
lattice_structure, &
lattice_fcc_twinNucleationSlipPair, &
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LATTICE_fcc_ID
implicit none
real(pReal), dimension(6), intent(in) :: &
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
real(pReal), intent(in) :: &
temperature !< temperature at integration point
integer(pInt), intent(in) :: &
ipc, & !< component-ID of integration point
ip, & !< integration point
el !< element
real(pReal), dimension(plastic_dislotwin_sizePostResults(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
plastic_dislotwin_postResults
integer(pInt) :: &
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instance,&
ns,nt,nr,&
f,o,i,c,j,index_myFamily,&
s1,s2, &
ph, &
of
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real(pReal) :: sumf,tau,StressRatio_p,StressRatio_pminus1,BoltzmannRatio,DotGamma0,StressRatio_r,Ndot0_twin,dgdot_dtauslip, &
stressRatio
real(preal), dimension(totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
gdot_slip
real(pReal), dimension(3,3) :: eigVectors
real(pReal), dimension (3) :: eigValues
type(tParameters), pointer :: prm
!* Shortened notation
of = phasememberAt(ipc,ip,el)
ph = phaseAt(ipc,ip,el)
instance = phase_plasticityInstance(ph)
ns = totalNslip(instance)
nt = totalNtwin(instance)
nr = totalNtrans(instance)
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prm => param(instance)
!* Total twin volume fraction
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sumf = sum(state(instance)%twinFraction(1_pInt:nt,of)) ! safe for nt == 0
!* Required output
c = 0_pInt
plastic_dislotwin_postResults = 0.0_pReal
do o = 1_pInt,plastic_dislotwin_Noutput(instance)
select case(param(instance)%outputID(o))
case (edge_density_ID)
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plastic_dislotwin_postResults(c+1_pInt:c+ns) = state(instance)%rhoEdge(1_pInt:ns,of)
c = c + ns
case (dipole_density_ID)
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plastic_dislotwin_postResults(c+1_pInt:c+ns) = state(instance)%rhoEdgeDip(1_pInt:ns,of)
c = c + ns
case (shear_rate_slip_ID)
j = 0_pInt
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family
do i = 1_pInt,Nslip(f,instance) ! process each (active) slip system in family
j = j + 1_pInt ! could be taken from state by now!
!* Resolved shear stress on slip system
tau = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,ph))
!* Stress ratios
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if((abs(tau)-state(instance)%threshold_stress_slip(j,of)) > tol_math_check) then
!* Stress ratios
stressRatio = ((abs(tau)-state(ph)%threshold_stress_slip(j,of))/&
(param(instance)%SolidSolutionStrength+&
tau_peierlsPerSlipFamily(f,instance)))
StressRatio_p = stressRatio** pPerSlipFamily(f,instance)
StressRatio_pminus1 = stressRatio**(pPerSlipFamily(f,instance)-1.0_pReal)
!* Boltzmann ratio
BoltzmannRatio = QedgePerSlipSystem(j,instance)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = &
state(instance)%rhoEdge(j,of)*prm%burgers_slip(j)* &
v0PerSlipSystem(j,instance)
!* Shear rates due to slip
plastic_dislotwin_postResults(c+j) = &
DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**&
qPerSlipFamily(f,instance))*sign(1.0_pReal,tau)
else
plastic_dislotwin_postResults(c+j) = 0.0_pReal
endif
enddo ; enddo
c = c + ns
case (accumulated_shear_slip_ID)
plastic_dislotwin_postResults(c+1_pInt:c+ns) = &
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state(instance)%accshear_slip(1_pInt:ns,of)
c = c + ns
case (mfp_slip_ID)
plastic_dislotwin_postResults(c+1_pInt:c+ns) =&
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state(instance)%mfp_slip(1_pInt:ns,of)
c = c + ns
case (resolved_stress_slip_ID)
j = 0_pInt
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family
do i = 1_pInt,Nslip(f,instance) ! process each (active) slip system in family
j = j + 1_pInt
plastic_dislotwin_postResults(c+j) =&
dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,ph))
enddo; enddo
c = c + ns
case (threshold_stress_slip_ID)
plastic_dislotwin_postResults(c+1_pInt:c+ns) = &
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state(instance)%threshold_stress_slip(1_pInt:ns,of)
c = c + ns
case (edge_dipole_distance_ID)
j = 0_pInt
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family
do i = 1_pInt,Nslip(f,instance) ! process each (active) slip system in family
j = j + 1_pInt
plastic_dislotwin_postResults(c+j) = &
(3.0_pReal*lattice_mu(ph)*prm%burgers_slip(j))/&
(16.0_pReal*pi*abs(dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,ph))))
plastic_dislotwin_postResults(c+j)=min(plastic_dislotwin_postResults(c+j),&
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state(instance)%mfp_slip(j,of))
! plastic_dislotwin_postResults(c+j)=max(plastic_dislotwin_postResults(c+j),&
! plasticState(ph)%state(4*ns+2*nt+2*nr+j, of))
enddo; enddo
c = c + ns
case (resolved_stress_shearband_ID)
do j = 1_pInt,6_pInt ! loop over all shearband families
plastic_dislotwin_postResults(c+j) = dot_product(Tstar_v, &
sbSv(1:6,j,ipc,ip,el))
enddo
c = c + 6_pInt
case (shear_rate_shearband_ID)
do j = 1_pInt,6_pInt ! loop over all shearbands
!* Resolved shear stress on shearband system
tau = dot_product(Tstar_v,sbSv(1:6,j,ipc,ip,el))
!* Stress ratios
if (abs(tau) < tol_math_check) then
StressRatio_p = 0.0_pReal
StressRatio_pminus1 = 0.0_pReal
else
StressRatio_p = (abs(tau)/param(instance)%sbResistance)**&
param(instance)%pShearBand
StressRatio_pminus1 = (abs(tau)/param(instance)%sbResistance)**&
(param(instance)%pShearBand-1.0_pReal)
endif
!* Boltzmann ratio
BoltzmannRatio = param(instance)%sbQedge/(kB*Temperature)
!* Initial shear rates
DotGamma0 = param(instance)%sbVelocity
! Shear rate due to shear band
plastic_dislotwin_postResults(c+j) = &
DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**param(instance)%qShearBand)*&
sign(1.0_pReal,tau)
enddo
c = c + 6_pInt
case (twin_fraction_ID)
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plastic_dislotwin_postResults(c+1_pInt:c+nt) = state(instance)%twinFraction(1_pInt:nt,of)
c = c + nt
case (shear_rate_twin_ID)
if (nt > 0_pInt) then
j = 0_pInt
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family
do i = 1_pInt,Nslip(f,instance) ! process each (active) slip system in family
j = j + 1_pInt
!* Resolved shear stress on slip system
tau = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,ph))
!* Stress ratios
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if((abs(tau)-state(instance)%threshold_stress_slip(j,of)) > tol_math_check) then
!* Stress ratios
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StressRatio_p = ((abs(tau)-state(instance)%threshold_stress_slip(j,of))/&
(param(instance)%SolidSolutionStrength+&
tau_peierlsPerSlipFamily(f,instance)))&
**pPerSlipFamily(f,instance)
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StressRatio_pminus1 = ((abs(tau)-state(instance)%threshold_stress_slip(j,of))/&
(param(instance)%SolidSolutionStrength+&
tau_peierlsPerSlipFamily(f,instance)))&
**(pPerSlipFamily(f,instance)-1.0_pReal)
!* Boltzmann ratio
BoltzmannRatio = QedgePerSlipSystem(j,instance)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = &
state(instance)%rhoEdge(j,of)*prm%burgers_slip(j)* &
v0PerSlipSystem(j,instance)
!* Shear rates due to slip
gdot_slip(j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**&
qPerSlipFamily(f,instance))*sign(1.0_pReal,tau)
else
gdot_slip(j) = 0.0_pReal
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endif
enddo;enddo
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j = 0_pInt
do f = 1_pInt,lattice_maxNtwinFamily ! loop over all twin families
index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,ph)) ! at which index starts my family
do i = 1,Ntwin(f,instance) ! process each (active) twin system in family
j = j + 1_pInt
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tau = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,ph))
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!* Shear rates due to twin
if ( tau > 0.0_pReal ) then
select case(lattice_structure(ph))
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case (LATTICE_fcc_ID)
s1=lattice_fcc_twinNucleationSlipPair(1,index_myFamily+i)
s2=lattice_fcc_twinNucleationSlipPair(2,index_myFamily+i)
if (tau < tau_r_twin(j,instance)) then
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Ndot0_twin=(abs(gdot_slip(s1))*(state(instance)%rhoEdge(s2,of)+state(instance)%rhoEdgeDip(s2,of))+&
abs(gdot_slip(s2))*(state(instance)%rhoEdge(s1,of)+state(instance)%rhoEdgeDip(s1,of)))/&
(param(instance)%L0_twin*&
prm%burgers_slip(j))*&
(1.0_pReal-exp(-param(instance)%VcrossSlip/(kB*Temperature)*&
(tau_r_twin(j,instance)-tau)))
else
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Ndot0_twin=0.0_pReal
end if
case default
Ndot0_twin=Ndot0PerTwinSystem(j,instance)
end select
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StressRatio_r = (state(instance)%threshold_stress_twin(j,of)/tau) &
**rPerTwinFamily(f,instance)
plastic_dislotwin_postResults(c+j) = &
(param(instance)%MaxTwinFraction-sumf)*lattice_shearTwin(index_myFamily+i,ph)*&
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state(instance)%twinVolume(j,of)*Ndot0_twin*exp(-StressRatio_r)
endif
enddo ; enddo
endif
c = c + nt
case (accumulated_shear_twin_ID)
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plastic_dislotwin_postResults(c+1_pInt:c+nt) = state(instance)%accshear_twin(1_pInt:nt,of)
c = c + nt
case (mfp_twin_ID)
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plastic_dislotwin_postResults(c+1_pInt:c+nt) = state(instance)%mfp_twin(1_pInt:nt,of)
c = c + nt
case (resolved_stress_twin_ID)
if (nt > 0_pInt) then
j = 0_pInt
do f = 1_pInt,lattice_maxNtwinFamily ! loop over all slip families
index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,ph)) ! at which index starts my family
do i = 1_pInt,Ntwin(f,instance) ! process each (active) slip system in family
j = j + 1_pInt
plastic_dislotwin_postResults(c+j) = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,ph))
enddo; enddo
endif
c = c + nt
case (threshold_stress_twin_ID)
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plastic_dislotwin_postResults(c+1_pInt:c+nt) = state(instance)%threshold_stress_twin(1_pInt:nt,of)
c = c + nt
case (stress_exponent_ID)
j = 0_pInt
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,ph)) ! at which index starts my family
do i = 1_pInt,Nslip(f,instance) ! process each (active) slip system in family
j = j + 1_pInt
!* Resolved shear stress on slip system
tau = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,ph))
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if((abs(tau)-state(instance)%threshold_stress_slip(j,of)) > tol_math_check) then
!* Stress ratios
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StressRatio_p = ((abs(tau)-state(instance)%threshold_stress_slip(j,of))/&
(param(instance)%SolidSolutionStrength+&
tau_peierlsPerSlipFamily(f,instance)))&
**pPerSlipFamily(f,instance)
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StressRatio_pminus1 = ((abs(tau)-state(instance)%threshold_stress_slip(j,of))/&
(param(instance)%SolidSolutionStrength+&
tau_peierlsPerSlipFamily(f,instance)))&
**(pPerSlipFamily(f,instance)-1.0_pReal)
!* Boltzmann ratio
BoltzmannRatio = QedgePerSlipSystem(j,instance)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = &
state(instance)%rhoEdge(j,of)*prm%burgers_slip(j)* &
v0PerSlipSystem(j,instance)
!* Shear rates due to slip
gdot_slip(j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**&
qPerSlipFamily(f,instance))*sign(1.0_pReal,tau)
!* Derivatives of shear rates
dgdot_dtauslip = &
abs(gdot_slip(j))*BoltzmannRatio*pPerSlipFamily(f,instance)&
*qPerSlipFamily(f,instance)/&
(param(instance)%SolidSolutionStrength+&
tau_peierlsPerSlipFamily(f,instance))*&
StressRatio_pminus1*(1-StressRatio_p)**(qPerSlipFamily(f,instance)-1.0_pReal)
else
gdot_slip(j) = 0.0_pReal
dgdot_dtauslip = 0.0_pReal
endif
!* Stress exponent
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plastic_dislotwin_postResults(c+j) = &
merge(0.0_pReal,(tau/gdot_slip(j))*dgdot_dtauslip,dEq0(gdot_slip(j)))
enddo ; enddo
c = c + ns
case (sb_eigenvalues_ID)
plastic_dislotwin_postResults(c+1_pInt:c+3_pInt) = math_eigenvaluesSym33(math_Mandel6to33(Tstar_v))
c = c + 3_pInt
case (sb_eigenvectors_ID)
call math_eigenValuesVectorsSym33(math_Mandel6to33(Tstar_v),eigValues,eigVectors)
plastic_dislotwin_postResults(c+1_pInt:c+9_pInt) = reshape(eigVectors,[9])
c = c + 9_pInt
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case (stress_trans_fraction_ID)
plastic_dislotwin_postResults(c+1_pInt:c+nr) = &
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state(instance)%stressTransFraction(1_pInt:nr,of)
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c = c + nr
case (strain_trans_fraction_ID)
plastic_dislotwin_postResults(c+1_pInt:c+nr) = &
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state(instance)%strainTransFraction(1_pInt:nr,of)
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c = c + nr
case (trans_fraction_ID)
plastic_dislotwin_postResults(c+1_pInt:c+nr) = &
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state(instance)%stressTransFraction(1_pInt:nr,of) + &
state(instance)%strainTransFraction(1_pInt:nr,of)
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c = c + nr
end select
enddo
end function plastic_dislotwin_postResults
end module plastic_dislotwin