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DAMASK_EICMD/code/constitutive_titanmod.f90

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New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
!* $Id: constitutive_titanmod.f90 519 2010-03-24 08:17:27Z MPIE\f.roters $
!************************************
!* Module: CONSTITUTIVE *
!************************************
MODULE constitutive_titanmod
!* Include other modules
use prec, only: pReal,pInt
implicit none
!* Lists of states and physical parameters
character(len=*), parameter :: constitutive_titanmod_label = 'titanmod'
character(len=18), dimension(2), parameter:: constitutive_titanmod_listBasicSlipStates = (/'rho_edge ', &
'rho_screw'/)
character(len=18), dimension(1), parameter:: constitutive_titanmod_listBasicTwinStates = (/'twinFraction'/)
character(len=18), dimension(5), parameter:: constitutive_titanmod_listDependentSlipStates =(/'invLambdaSlipe', &
'invLambdaSlips', &
'etauSlipThreshold', &
'stauSlipThreshold', &
'invLambdaSlipTwin'/)
character(len=18), dimension(4), parameter:: constitutive_titanmod_listDependentTwinStates =(/'invLambdaTwin ', &
'meanFreePathTwin', &
'tauTwinThreshold', &
'twinVolume '/)
real(pReal), parameter :: kB = 1.38e-23_pReal ! Boltzmann constant in J/Kelvin
!* Definition of global variables
integer(pInt), dimension(:), allocatable :: constitutive_titanmod_sizeDotState, & ! number of dotStates
constitutive_titanmod_sizeState, & ! total number of microstructural state variables
constitutive_titanmod_sizePostResults ! cumulative size of post results
integer(pInt), dimension(:,:), allocatable, target :: constitutive_titanmod_sizePostResult ! size of each post result output
character(len=64), dimension(:,:), allocatable, target :: constitutive_titanmod_output ! name of each post result output
character(len=32), dimension(:), allocatable :: constitutive_titanmod_structureName ! name of the lattice structure
integer(pInt), dimension(:), allocatable :: constitutive_titanmod_structure, & ! number representing the kind of lattice structure
constitutive_titanmod_totalNslip, & ! total number of active slip systems for each instance
constitutive_titanmod_totalNtwin ! total number of active twin systems for each instance
integer(pInt), dimension(:,:), allocatable :: constitutive_titanmod_Nslip, & ! number of active slip systems for each family and instance
constitutive_titanmod_Ntwin, & ! number of active twin systems for each family and instance
constitutive_titanmod_slipFamily, & ! lookup table relating active slip system to slip family for each instance
constitutive_titanmod_twinFamily, & ! lookup table relating active twin system to twin family for each instance
constitutive_titanmod_slipSystemLattice, & ! lookup table relating active slip system index to lattice slip system index for each instance
constitutive_titanmod_twinSystemLattice ! lookup table relating active twin system index to lattice twin system index for each instance
real(pReal), dimension(:), allocatable :: constitutive_titanmod_CoverA, & ! c/a ratio for hex type lattice
constitutive_titanmod_C11, & ! C11 element in elasticity matrix
constitutive_titanmod_C12, & ! C12 element in elasticity matrix
constitutive_titanmod_C13, & ! C13 element in elasticity matrix
constitutive_titanmod_C33, & ! C33 element in elasticity matrix
constitutive_titanmod_C44, & ! C44 element in elasticity matrix
constitutive_titanmod_Gmod, & ! shear modulus
constitutive_titanmod_CAtomicVolume, & ! atomic volume in Bugers vector unit
constitutive_titanmod_D0, & ! prefactor for self-diffusion coefficient
constitutive_titanmod_Qsd, & ! activation energy for dislocation climb
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
constitutive_titanmod_GrainSize, & ! grain size - Not being used
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
constitutive_titanmod_MaxTwinFraction, & ! maximum allowed total twin volume fraction
constitutive_titanmod_r, & ! r-exponent in twin nucleation rate
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
constitutive_titanmod_CEdgeDipMinDistance, & ! Not being used
constitutive_titanmod_Cmfptwin, & ! Not being used
constitutive_titanmod_Cthresholdtwin, & ! Not being used
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
constitutive_titanmod_relevantRho ! dislocation density considered relevant
real(pReal), dimension(:,:,:), allocatable :: constitutive_titanmod_Cslip_66 ! elasticity matrix in Mandel notation for each instance
real(pReal), dimension(:,:,:,:), allocatable :: constitutive_titanmod_Ctwin_66 ! twin elasticity matrix in Mandel notation for each instance
real(pReal), dimension(:,:,:,:,:), allocatable :: constitutive_titanmod_Cslip_3333 ! elasticity matrix for each instance
real(pReal), dimension(:,:,:,:,:,:), allocatable :: constitutive_titanmod_Ctwin_3333 ! twin elasticity matrix for each instance
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
real(pReal), dimension(:,:), allocatable :: constitutive_titanmod_rho_edge0, & ! initial edge dislocation density per slip system for each family and instance
constitutive_titanmod_rho_screw0, & ! initial screw dislocation density per slip system for each family and instance
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
constitutive_titanmod_burgersPerSlipFamily, & ! absolute length of burgers vector [m] for each slip family and instance
constitutive_titanmod_burgersPerSlipSystem, & ! absolute length of burgers vector [m] for each slip system and instance
constitutive_titanmod_burgersPerTwinFamily, & ! absolute length of burgers vector [m] for each twin family and instance
constitutive_titanmod_burgersPerTwinSystem, & ! absolute length of burgers vector [m] for each twin system and instance
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
constitutive_titanmod_f0_PerSlipFamily, & ! activation energy for glide [J] for each slip family and instance
constitutive_titanmod_f0_PerSlipSystem, & ! activation energy for glide [J] for each slip system and instance
constitutive_titanmod_tau0e_PerSlipFamily, & ! Initial yield stress edge dislocations per slip family
constitutive_titanmod_tau0e_PerSlipSystem, & ! Initial yield stress edge dislocations per slip system
constitutive_titanmod_tau0s_PerSlipFamily, & ! Initial yield stress screw dislocations per slip family
constitutive_titanmod_tau0s_PerSlipSystem, & ! Initial yield stress screw dislocations per slip system
constitutive_titanmod_capre_PerSlipFamily, & ! Capture radii for edge dislocations per slip family
constitutive_titanmod_capre_PerSlipSystem, & ! Capture radii for edge dislocations per slip system
constitutive_titanmod_caprs_PerSlipFamily, & ! Capture radii for screw dislocations per slip family
constitutive_titanmod_caprs_PerSlipSystem, & ! Capture radii for screw dislocations per slip system
constitutive_titanmod_pe_PerSlipFamily, & ! p-exponent in glide velocity
constitutive_titanmod_ps_PerSlipFamily, & ! p-exponent in glide velocity
constitutive_titanmod_qe_PerSlipFamily, & ! q-exponent in glide velocity
constitutive_titanmod_qs_PerSlipFamily, & ! q-exponent in glide velocity
constitutive_titanmod_pe_PerSlipSystem, & ! p-exponent in glide velocity
constitutive_titanmod_ps_PerSlipSystem, & ! p-exponent in glide velocity
constitutive_titanmod_qe_PerSlipSystem, & ! q-exponent in glide velocity
constitutive_titanmod_qs_PerSlipSystem, & ! q-exponent in glide velocity
constitutive_titanmod_v0e_PerSlipFamily, & ! dislocation velocity prefactor [m/s] for each family and instance
constitutive_titanmod_v0e_PerSlipSystem, & ! dislocation velocity prefactor [m/s] for each slip system and instance
constitutive_titanmod_v0s_PerSlipFamily, & ! dislocation velocity prefactor [m/s] for each family and instance
constitutive_titanmod_v0s_PerSlipSystem, & ! dislocation velocity prefactor [m/s] for each slip system and instance
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
constitutive_titanmod_Ndot0PerTwinFamily, & ! twin nucleation rate [1/m³s] for each twin family and instance
constitutive_titanmod_Ndot0PerTwinSystem, & ! twin nucleation rate [1/m³s] for each twin system and instance
constitutive_titanmod_twinsizePerTwinFamily, & ! twin thickness [m] for each twin family and instance
constitutive_titanmod_twinsizePerTwinSystem, & ! twin thickness [m] for each twin system and instance
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
constitutive_titanmod_CeLambdaSlipPerSlipFamily, & ! Adj. parameter for distance between 2 forest dislocations for each slip family and instance
constitutive_titanmod_CeLambdaSlipPerSlipSystem, & ! Adj. parameter for distance between 2 forest dislocations for each slip system and instance
constitutive_titanmod_CsLambdaSlipPerSlipFamily, & ! Adj. parameter for distance between 2 forest dislocations for each slip family and instance
constitutive_titanmod_CsLambdaSlipPerSlipSystem, & ! Adj. parameter for distance between 2 forest dislocations for each slip system and instance
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
constitutive_titanmod_interactionSlipSlip, & ! coefficients for slip-slip interaction for each interaction type and instance
constitutive_titanmod_interactionSlipTwin, & ! coefficients for slip-twin interaction for each interaction type and instance
constitutive_titanmod_interactionTwinSlip, & ! coefficients for twin-slip interaction for each interaction type and instance
constitutive_titanmod_interactionTwinTwin ! coefficients for twin-twin interaction for each interaction type and instance
real(pReal), dimension(:,:,:), allocatable :: constitutive_titanmod_interactionMatrixSlipSlip, & ! interaction matrix of the different slip systems for each instance
constitutive_titanmod_interactionMatrixSlipTwin, & ! interaction matrix of slip systems with twin systems for each instance
constitutive_titanmod_interactionMatrixTwinSlip, & ! interaction matrix of twin systems with slip systems for each instance
constitutive_titanmod_interactionMatrixTwinTwin, & ! interaction matrix of the different twin systems for each instance
constitutive_titanmod_forestProjectionEdge ! matrix of forest projections of edge dislocations for each instance
CONTAINS
!****************************************
!* - constitutive_titanmod_init
!* - constitutive_titanmod_stateInit
!* - constitutive_titanmod_relevantState
!* - constitutive_titanmod_homogenizedC
!* - constitutive_titanmod_microstructure
!* - constitutive_titanmod_LpAndItsTangent
!* - consistutive_titanmod_dotState
!* - constitutive_titanmod_dotTemperature
!* - consistutive_titanmod_postResults
!****************************************
subroutine constitutive_titanmod_init(file)
!**************************************
!* Module initialization *
!**************************************
use prec, only: pInt,pReal
use math, only: math_Mandel3333to66,math_Voigt66to3333,math_mul3x3
use IO
use material
use lattice
!* Input variables
integer(pInt), intent(in) :: file
!* Local variables
integer(pInt), parameter :: maxNchunks = 21
integer(pInt), dimension(1+2*maxNchunks) :: positions
integer(pInt) section,maxNinstance,f,i,j,k,l,m,n,o,p,q,r,s,s1,s2,t1,t2,ns,nt,output,mySize,myStructure,maxTotalNslip,maxTotalNtwin
character(len=64) tag
character(len=1024) line
!write(6,*)
!write(6,'(a20,a20,a12)') '<<<+- constitutive_',constitutive_titanmod_label,' init -+>>>'
!write(6,*) '$Id: constitutive_titanmod.f90 519 2010-03-24 08:17:27Z MPIE\f.roters $'
!write(6,*)
maxNinstance = count(phase_constitution == constitutive_titanmod_label)
if (maxNinstance == 0) return
!* Space allocation for global variables
allocate(constitutive_titanmod_sizeDotState(maxNinstance))
allocate(constitutive_titanmod_sizeState(maxNinstance))
allocate(constitutive_titanmod_sizePostResults(maxNinstance))
allocate(constitutive_titanmod_sizePostResult(maxval(phase_Noutput),maxNinstance))
allocate(constitutive_titanmod_output(maxval(phase_Noutput),maxNinstance))
constitutive_titanmod_sizeDotState = 0_pInt
constitutive_titanmod_sizeState = 0_pInt
constitutive_titanmod_sizePostResults = 0_pInt
constitutive_titanmod_sizePostResult = 0_pInt
constitutive_titanmod_output = ''
allocate(constitutive_titanmod_structureName(maxNinstance))
allocate(constitutive_titanmod_structure(maxNinstance))
allocate(constitutive_titanmod_Nslip(lattice_maxNslipFamily,maxNinstance))
allocate(constitutive_titanmod_Ntwin(lattice_maxNtwinFamily,maxNinstance))
allocate(constitutive_titanmod_slipFamily(lattice_maxNslip,maxNinstance))
allocate(constitutive_titanmod_twinFamily(lattice_maxNtwin,maxNinstance))
allocate(constitutive_titanmod_slipSystemLattice(lattice_maxNslip,maxNinstance))
allocate(constitutive_titanmod_twinSystemLattice(lattice_maxNtwin,maxNinstance))
allocate(constitutive_titanmod_totalNslip(maxNinstance))
allocate(constitutive_titanmod_totalNtwin(maxNinstance))
constitutive_titanmod_structureName = ''
constitutive_titanmod_structure = 0_pInt
constitutive_titanmod_Nslip = 0_pInt
constitutive_titanmod_Ntwin = 0_pInt
constitutive_titanmod_slipFamily = 0_pInt
constitutive_titanmod_twinFamily = 0_pInt
constitutive_titanmod_slipSystemLattice = 0.0_pReal
constitutive_titanmod_twinSystemLattice = 0.0_pReal
constitutive_titanmod_totalNslip = 0_pInt
constitutive_titanmod_totalNtwin = 0_pInt
allocate(constitutive_titanmod_CoverA(maxNinstance))
allocate(constitutive_titanmod_C11(maxNinstance))
allocate(constitutive_titanmod_C12(maxNinstance))
allocate(constitutive_titanmod_C13(maxNinstance))
allocate(constitutive_titanmod_C33(maxNinstance))
allocate(constitutive_titanmod_C44(maxNinstance))
allocate(constitutive_titanmod_Gmod(maxNinstance))
allocate(constitutive_titanmod_CAtomicVolume(maxNinstance))
allocate(constitutive_titanmod_D0(maxNinstance))
allocate(constitutive_titanmod_Qsd(maxNinstance))
allocate(constitutive_titanmod_GrainSize(maxNinstance))
allocate(constitutive_titanmod_MaxTwinFraction(maxNinstance))
allocate(constitutive_titanmod_r(maxNinstance))
allocate(constitutive_titanmod_CEdgeDipMinDistance(maxNinstance))
allocate(constitutive_titanmod_Cmfptwin(maxNinstance))
allocate(constitutive_titanmod_Cthresholdtwin(maxNinstance))
allocate(constitutive_titanmod_relevantRho(maxNinstance))
allocate(constitutive_titanmod_Cslip_66(6,6,maxNinstance))
allocate(constitutive_titanmod_Cslip_3333(3,3,3,3,maxNinstance))
constitutive_titanmod_CoverA = 0.0_pReal
constitutive_titanmod_C11 = 0.0_pReal
constitutive_titanmod_C12 = 0.0_pReal
constitutive_titanmod_C13 = 0.0_pReal
constitutive_titanmod_C33 = 0.0_pReal
constitutive_titanmod_C44 = 0.0_pReal
constitutive_titanmod_Gmod = 0.0_pReal
constitutive_titanmod_CAtomicVolume = 0.0_pReal
constitutive_titanmod_D0 = 0.0_pReal
constitutive_titanmod_Qsd = 0.0_pReal
constitutive_titanmod_GrainSize = 0.0_pReal
constitutive_titanmod_MaxTwinFraction = 0.0_pReal
constitutive_titanmod_r = 0.0_pReal
constitutive_titanmod_CEdgeDipMinDistance = 0.0_pReal
constitutive_titanmod_Cmfptwin = 0.0_pReal
constitutive_titanmod_Cthresholdtwin = 0.0_pReal
constitutive_titanmod_relevantRho = 0.0_pReal
constitutive_titanmod_Cslip_66 = 0.0_pReal
constitutive_titanmod_Cslip_3333 = 0.0_pReal
allocate(constitutive_titanmod_rho_edge0(lattice_maxNslipFamily,maxNinstance))
allocate(constitutive_titanmod_rho_screw0(lattice_maxNslipFamily,maxNinstance))
allocate(constitutive_titanmod_burgersPerSlipFamily(lattice_maxNslipFamily,maxNinstance))
allocate(constitutive_titanmod_burgersPerTwinFamily(lattice_maxNtwinFamily,maxNinstance))
allocate(constitutive_titanmod_f0_PerSlipFamily(lattice_maxNslipFamily,maxNinstance))
allocate(constitutive_titanmod_tau0e_PerSlipFamily(lattice_maxNslipFamily,maxNinstance))
allocate(constitutive_titanmod_tau0s_PerSlipFamily(lattice_maxNslipFamily,maxNinstance))
allocate(constitutive_titanmod_capre_PerSlipFamily(lattice_maxNslipFamily,maxNinstance))
allocate(constitutive_titanmod_caprs_PerSlipFamily(lattice_maxNslipFamily,maxNinstance))
allocate(constitutive_titanmod_pe_PerSlipFamily(lattice_maxNslipFamily,maxNinstance))
allocate(constitutive_titanmod_ps_PerSlipFamily(lattice_maxNslipFamily,maxNinstance))
allocate(constitutive_titanmod_qe_PerSlipFamily(lattice_maxNslipFamily,maxNinstance))
allocate(constitutive_titanmod_qs_PerSlipFamily(lattice_maxNslipFamily,maxNinstance))
allocate(constitutive_titanmod_v0e_PerSlipFamily(lattice_maxNslipFamily,maxNinstance))
allocate(constitutive_titanmod_v0s_PerSlipFamily(lattice_maxNslipFamily,maxNinstance))
allocate(constitutive_titanmod_Ndot0PerTwinFamily(lattice_maxNtwinFamily,maxNinstance))
allocate(constitutive_titanmod_twinsizePerTwinFamily(lattice_maxNtwinFamily,maxNinstance))
allocate(constitutive_titanmod_CeLambdaSlipPerSlipFamily(lattice_maxNslipFamily,maxNinstance))
allocate(constitutive_titanmod_CsLambdaSlipPerSlipFamily(lattice_maxNslipFamily,maxNinstance))
constitutive_titanmod_rho_edge0 = 0.0_pReal
constitutive_titanmod_rho_screw0 = 0.0_pReal
constitutive_titanmod_burgersPerSlipFamily = 0.0_pReal
constitutive_titanmod_burgersPerTwinFamily = 0.0_pReal
constitutive_titanmod_f0_PerSlipFamily = 0.0_pReal
constitutive_titanmod_tau0e_PerSlipFamily = 0.0_pReal
constitutive_titanmod_tau0s_PerSlipFamily = 0.0_pReal
constitutive_titanmod_capre_PerSlipFamily = 0.0_pReal
constitutive_titanmod_caprs_PerSlipFamily = 0.0_pReal
constitutive_titanmod_v0e_PerSlipFamily = 0.0_pReal
constitutive_titanmod_v0s_PerSlipFamily = 0.0_pReal
constitutive_titanmod_Ndot0PerTwinFamily = 0.0_pReal
constitutive_titanmod_twinsizePerTwinFamily = 0.0_pReal
constitutive_titanmod_CeLambdaSlipPerSlipFamily = 0.0_pReal
constitutive_titanmod_CsLambdaSlipPerSlipFamily = 0.0_pReal
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
constitutive_titanmod_pe_PerSlipFamily = 0.0_pReal
constitutive_titanmod_ps_PerSlipFamily = 0.0_pReal
constitutive_titanmod_qe_PerSlipFamily = 0.0_pReal
constitutive_titanmod_qs_PerSlipFamily = 0.0_pReal
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
allocate(constitutive_titanmod_interactionSlipSlip(lattice_maxNinteraction,maxNinstance))
allocate(constitutive_titanmod_interactionSlipTwin(lattice_maxNinteraction,maxNinstance))
allocate(constitutive_titanmod_interactionTwinSlip(lattice_maxNinteraction,maxNinstance))
allocate(constitutive_titanmod_interactionTwinTwin(lattice_maxNinteraction,maxNinstance))
constitutive_titanmod_interactionSlipSlip = 0.0_pReal
constitutive_titanmod_interactionSlipTwin = 0.0_pReal
constitutive_titanmod_interactionTwinSlip = 0.0_pReal
constitutive_titanmod_interactionTwinTwin = 0.0_pReal
!* Readout data from material.config file
rewind(file)
line = ''
section = 0
write(6,*) 'Reading material parameters from material config file'
do while (IO_lc(IO_getTag(line,'<','>')) /= 'phase') ! wind forward to <phase>
read(file,'(a1024)',END=100) line
enddo
do ! read thru sections of phase part
read(file,'(a1024)',END=100) line
if (IO_isBlank(line)) cycle ! skip empty lines
if (IO_getTag(line,'<','>') /= '') exit ! stop at next part
if (IO_getTag(line,'[',']') /= '') then ! next section
section = section + 1
output = 0 ! reset output counter
endif
if (section > 0 .and. phase_constitution(section) == constitutive_titanmod_label) then ! one of my sections
i = phase_constitutionInstance(section) ! which instance of my constitution is present phase
positions = IO_stringPos(line,maxNchunks)
tag = IO_lc(IO_stringValue(line,positions,1)) ! extract key
select case(tag)
case ('(output)')
output = output + 1
constitutive_titanmod_output(output,i) = IO_lc(IO_stringValue(line,positions,2))
write(6,*) tag
case ('lattice_structure')
constitutive_titanmod_structureName(i) = IO_lc(IO_stringValue(line,positions,2))
write(6,*) tag
case ('covera_ratio')
constitutive_titanmod_CoverA(i) = IO_floatValue(line,positions,2)
write(6,*) tag
case ('c11')
constitutive_titanmod_C11(i) = IO_floatValue(line,positions,2)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
write(6,*) tag,constitutive_titanmod_C11(i)
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
case ('c12')
constitutive_titanmod_C12(i) = IO_floatValue(line,positions,2)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
write(6,*) tag,constitutive_titanmod_C12(i)
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
case ('c13')
constitutive_titanmod_C13(i) = IO_floatValue(line,positions,2)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
write(6,*) tag,constitutive_titanmod_C13(i)
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
case ('c33')
constitutive_titanmod_C33(i) = IO_floatValue(line,positions,2)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
write(6,*) tag,constitutive_titanmod_C33(i)
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
case ('c44')
constitutive_titanmod_C44(i) = IO_floatValue(line,positions,2)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
write(6,*) tag,constitutive_titanmod_C44(i)
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
case ('nslip')
forall (j = 1:lattice_maxNslipFamily) &
constitutive_titanmod_Nslip(j,i) = IO_intValue(line,positions,1+j)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
write(6,*) tag,constitutive_titanmod_Nslip(1,i),constitutive_titanmod_Nslip(2,i),constitutive_titanmod_Nslip(3,i), &
constitutive_titanmod_Nslip(4,i)
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
case ('ntwin')
forall (j = 1:lattice_maxNtwinFamily) &
constitutive_titanmod_Ntwin(j,i) = IO_intValue(line,positions,1+j)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
write(6,*) tag,constitutive_titanmod_Ntwin(1,i),constitutive_titanmod_Ntwin(2,i),constitutive_titanmod_Ntwin(3,i), &
constitutive_titanmod_Ntwin(4,i)
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
case ('rho_edge0')
forall (j = 1:lattice_maxNslipFamily) &
constitutive_titanmod_rho_edge0(j,i) = IO_floatValue(line,positions,1+j)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
write(6,*) tag,constitutive_titanmod_rho_edge0(1,i),constitutive_titanmod_rho_edge0(2,i), &
constitutive_titanmod_rho_edge0(3,i), constitutive_titanmod_rho_edge0(4,i)
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
case ('rho_screw0')
forall (j = 1:lattice_maxNslipFamily) &
constitutive_titanmod_rho_screw0(j,i) = IO_floatValue(line,positions,1+j)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
write(6,*) tag,constitutive_titanmod_rho_screw0(1,i),constitutive_titanmod_rho_screw0(2,i), &
constitutive_titanmod_rho_screw0(3,i), constitutive_titanmod_rho_screw0(4,i)
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
case ('slipburgers')
forall (j = 1:lattice_maxNslipFamily) &
constitutive_titanmod_burgersPerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
write(6,*) tag,constitutive_titanmod_burgersPerSlipFamily(1,i),constitutive_titanmod_burgersPerSlipFamily(2,i), &
constitutive_titanmod_burgersPerSlipFamily(3,i), constitutive_titanmod_burgersPerSlipFamily(4,i)
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
case ('twinburgers')
forall (j = 1:lattice_maxNtwinFamily) &
constitutive_titanmod_burgersPerTwinFamily(j,i) = IO_floatValue(line,positions,1+j)
write(6,*) tag
case ('f0')
forall (j = 1:lattice_maxNslipFamily) &
constitutive_titanmod_f0_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
write(6,*) tag,constitutive_titanmod_f0_PerSlipFamily(1,i),constitutive_titanmod_f0_PerSlipFamily(2,i), &
constitutive_titanmod_f0_PerSlipFamily(3,i), constitutive_titanmod_f0_PerSlipFamily(4,i)
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
case ('tau0e')
forall (j = 1:lattice_maxNslipFamily) &
constitutive_titanmod_tau0e_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
write(6,*) tag,constitutive_titanmod_tau0e_PerSlipFamily(1,i),constitutive_titanmod_tau0e_PerSlipFamily(2,i), &
constitutive_titanmod_tau0e_PerSlipFamily(3,i), constitutive_titanmod_tau0e_PerSlipFamily(4,i)
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
case ('tau0s')
forall (j = 1:lattice_maxNslipFamily) &
constitutive_titanmod_tau0s_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
write(6,*) tag,constitutive_titanmod_tau0s_PerSlipFamily(1,i),constitutive_titanmod_tau0s_PerSlipFamily(2,i), &
constitutive_titanmod_tau0s_PerSlipFamily(3,i), constitutive_titanmod_tau0s_PerSlipFamily(4,i)
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
case ('capre')
forall (j = 1:lattice_maxNslipFamily) &
constitutive_titanmod_capre_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
write(6,*) tag,constitutive_titanmod_capre_PerSlipFamily(1,i),constitutive_titanmod_capre_PerSlipFamily(2,i), &
constitutive_titanmod_capre_PerSlipFamily(3,i), constitutive_titanmod_capre_PerSlipFamily(4,i)
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
case ('caprs')
forall (j = 1:lattice_maxNslipFamily) &
constitutive_titanmod_caprs_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
write(6,*) tag,constitutive_titanmod_caprs_PerSlipFamily(1,i),constitutive_titanmod_caprs_PerSlipFamily(2,i), &
constitutive_titanmod_caprs_PerSlipFamily(3,i), constitutive_titanmod_caprs_PerSlipFamily(4,i)
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
case ('v0e')
forall (j = 1:lattice_maxNslipFamily) &
constitutive_titanmod_v0e_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
write(6,*) tag,constitutive_titanmod_v0e_PerSlipFamily(1,i),constitutive_titanmod_v0e_PerSlipFamily(2,i), &
constitutive_titanmod_v0e_PerSlipFamily(3,i), constitutive_titanmod_v0e_PerSlipFamily(4,i)
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
case ('v0s')
forall (j = 1:lattice_maxNslipFamily) &
constitutive_titanmod_v0s_PerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
write(6,*) tag,constitutive_titanmod_v0s_PerSlipFamily(1,i),constitutive_titanmod_v0s_PerSlipFamily(2,i), &
constitutive_titanmod_v0s_PerSlipFamily(3,i), constitutive_titanmod_v0s_PerSlipFamily(4,i)
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
case ('ndot0')
forall (j = 1:lattice_maxNtwinFamily) &
constitutive_titanmod_Ndot0PerTwinFamily(j,i) = IO_floatValue(line,positions,1+j)
write(6,*) tag
case ('twinsize')
forall (j = 1:lattice_maxNtwinFamily) &
constitutive_titanmod_twinsizePerTwinFamily(j,i) = IO_floatValue(line,positions,1+j)
write(6,*) tag
case ('celambdaslip')
forall (j = 1:lattice_maxNslipFamily) &
constitutive_titanmod_CeLambdaSlipPerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
write(6,*) tag
case ('cslambdaslip')
forall (j = 1:lattice_maxNslipFamily) &
constitutive_titanmod_CsLambdaSlipPerSlipFamily(j,i) = IO_floatValue(line,positions,1+j)
write(6,*) tag
case ('grainsize')
constitutive_titanmod_GrainSize(i) = IO_floatValue(line,positions,2)
write(6,*) tag
case ('maxtwinfraction')
constitutive_titanmod_MaxTwinFraction(i) = IO_floatValue(line,positions,2)
write(6,*) tag
case ('pe')
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
forall (j = 1:lattice_maxNslipFamily) &
constitutive_titanmod_pe_PerSlipFamily(j,i) = IO_floatValue(line,positions,2)
write(6,*) tag,constitutive_titanmod_pe_PerSlipFamily(1,i),constitutive_titanmod_pe_PerSlipFamily(2,i), &
constitutive_titanmod_pe_PerSlipFamily(3,i), constitutive_titanmod_pe_PerSlipFamily(4,i),i
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
case ('ps')
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
forall (j = 1:lattice_maxNslipFamily) &
constitutive_titanmod_ps_PerSlipFamily(j,i) = IO_floatValue(line,positions,2)
write(6,*) tag,constitutive_titanmod_ps_PerSlipFamily(1,i),constitutive_titanmod_ps_PerSlipFamily(2,i), &
constitutive_titanmod_ps_PerSlipFamily(3,i), constitutive_titanmod_ps_PerSlipFamily(4,i),i
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
case ('qe')
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
forall (j = 1:lattice_maxNslipFamily) &
constitutive_titanmod_qe_PerSlipFamily(j,i) = IO_floatValue(line,positions,2)
write(6,*) tag,constitutive_titanmod_qe_PerSlipFamily(1,i),constitutive_titanmod_qe_PerSlipFamily(2,i), &
constitutive_titanmod_qe_PerSlipFamily(3,i), constitutive_titanmod_qe_PerSlipFamily(4,i),i
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
case ('qs')
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
forall (j = 1:lattice_maxNslipFamily) &
constitutive_titanmod_qs_PerSlipFamily(j,i) = IO_floatValue(line,positions,2)
write(6,*) tag,constitutive_titanmod_qs_PerSlipFamily(1,i),constitutive_titanmod_qs_PerSlipFamily(2,i), &
constitutive_titanmod_qs_PerSlipFamily(3,i), constitutive_titanmod_qs_PerSlipFamily(4,i),i
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
case ('rexponent')
constitutive_titanmod_r(i) = IO_floatValue(line,positions,2)
write(6,*) tag
case ('d0')
constitutive_titanmod_D0(i) = IO_floatValue(line,positions,2)
write(6,*) tag
case ('qsd')
constitutive_titanmod_Qsd(i) = IO_floatValue(line,positions,2)
write(6,*) tag
case ('relevantrho')
constitutive_titanmod_relevantRho(i) = IO_floatValue(line,positions,2)
write(6,*) tag
case ('cmfptwin')
constitutive_titanmod_Cmfptwin(i) = IO_floatValue(line,positions,2)
write(6,*) tag
case ('cthresholdtwin')
constitutive_titanmod_Cthresholdtwin(i) = IO_floatValue(line,positions,2)
write(6,*) tag
case ('cedgedipmindistance')
constitutive_titanmod_CEdgeDipMinDistance(i) = IO_floatValue(line,positions,2)
write(6,*) tag
case ('catomicvolume')
constitutive_titanmod_CAtomicVolume(i) = IO_floatValue(line,positions,2)
write(6,*) tag
case ('interactionslipslip')
forall (j = 1:lattice_maxNinteraction) &
constitutive_titanmod_interactionSlipSlip(j,i) = IO_floatValue(line,positions,1+j)
write(6,*) tag
case ('interactionsliptwin')
forall (j = 1:lattice_maxNinteraction) &
constitutive_titanmod_interactionSlipTwin(j,i) = IO_floatValue(line,positions,1+j)
write(6,*) tag
case ('interactiontwinslip')
forall (j = 1:lattice_maxNinteraction) &
constitutive_titanmod_interactionTwinSlip(j,i) = IO_floatValue(line,positions,1+j)
write(6,*) tag
case ('interactiontwintwin')
forall (j = 1:lattice_maxNinteraction) &
constitutive_titanmod_interactionTwinTwin(j,i) = IO_floatValue(line,positions,1+j)
write(6,*) tag
end select
endif
enddo
write(6,*) 'Material Property reading done'
100 do i = 1,maxNinstance
constitutive_titanmod_structure(i) = &
lattice_initializeStructure(constitutive_titanmod_structureName(i),constitutive_titanmod_CoverA(i))
myStructure = constitutive_titanmod_structure(i)
!* Sanity checks
if (myStructure < 1 .or. myStructure > 3) call IO_error(205)
if (sum(constitutive_titanmod_Nslip(:,i)) <= 0_pInt) call IO_error(225)
if (sum(constitutive_titanmod_Ntwin(:,i)) < 0_pInt) call IO_error(225) !***
do f = 1,lattice_maxNslipFamily
if (constitutive_titanmod_Nslip(f,i) > 0_pInt) then
if (constitutive_titanmod_rho_edge0(f,i) < 0.0_pReal) call IO_error(220)
if (constitutive_titanmod_rho_screw0(f,i) < 0.0_pReal) call IO_error(220)
if (constitutive_titanmod_burgersPerSlipFamily(f,i) <= 0.0_pReal) call IO_error(221)
if (constitutive_titanmod_f0_PerSlipFamily(f,i) <= 0.0_pReal) call IO_error(228)
if (constitutive_titanmod_tau0e_PerSlipFamily(f,i) <= 0.0_pReal) call IO_error(229)
if (constitutive_titanmod_tau0s_PerSlipFamily(f,i) <= 0.0_pReal) call IO_error(233)
if (constitutive_titanmod_capre_PerSlipFamily(f,i) <= 0.0_pReal) call IO_error(234)
if (constitutive_titanmod_caprs_PerSlipFamily(f,i) <= 0.0_pReal) call IO_error(235)
if (constitutive_titanmod_v0e_PerSlipFamily(f,i) <= 0.0_pReal) call IO_error(226)
if (constitutive_titanmod_v0s_PerSlipFamily(f,i) <= 0.0_pReal) call IO_error(227)
endif
enddo
do f = 1,lattice_maxNtwinFamily
if (constitutive_titanmod_Nslip(f,i) > 0_pInt) then
if (constitutive_titanmod_burgersPerTwinFamily(f,i) <= 0.0_pReal) call IO_error(221) !***
if (constitutive_titanmod_Ndot0PerTwinFamily(f,i) < 0.0_pReal) call IO_error(226) !***
endif
enddo
! if (any(constitutive_titanmod_interactionSlipSlip(1:maxval(lattice_interactionSlipSlip(:,:,myStructure)),i) < 1.0_pReal)) call IO_error(229)
if (constitutive_titanmod_CAtomicVolume(i) <= 0.0_pReal) call IO_error(230)
if (constitutive_titanmod_D0(i) <= 0.0_pReal) call IO_error(231)
if (constitutive_titanmod_Qsd(i) <= 0.0_pReal) call IO_error(232)
if (constitutive_titanmod_relevantRho(i) <= 0.0_pReal) call IO_error(233)
!* Determine total number of active slip or twin systems
constitutive_titanmod_Nslip(:,i) = min(lattice_NslipSystem(:,myStructure),constitutive_titanmod_Nslip(:,i))
constitutive_titanmod_Ntwin(:,i) = min(lattice_NtwinSystem(:,myStructure),constitutive_titanmod_Ntwin(:,i))
constitutive_titanmod_totalNslip(i) = sum(constitutive_titanmod_Nslip(:,i))
constitutive_titanmod_totalNtwin(i) = sum(constitutive_titanmod_Ntwin(:,i))
write(6,*) 'Sanity Checks done !'
enddo
!* Allocation of variables whose size depends on the total number of active slip systems
maxTotalNslip = maxval(constitutive_titanmod_totalNslip)
maxTotalNtwin = maxval(constitutive_titanmod_totalNtwin)
write(6,*) 'maxTotalNslip',maxTotalNslip
write(6,*) 'maxTotalNtwin',maxTotalNtwin
allocate(constitutive_titanmod_burgersPerSlipSystem(maxTotalNslip, maxNinstance))
allocate(constitutive_titanmod_burgersPerTwinSystem(maxTotalNtwin, maxNinstance))
allocate(constitutive_titanmod_f0_PerSlipSystem(maxTotalNslip,maxNinstance))
allocate(constitutive_titanmod_tau0e_PerSlipSystem(maxTotalNslip,maxNinstance))
allocate(constitutive_titanmod_tau0s_PerSlipSystem(maxTotalNslip,maxNinstance))
allocate(constitutive_titanmod_capre_PerSlipSystem(maxTotalNslip,maxNinstance))
allocate(constitutive_titanmod_caprs_PerSlipSystem(maxTotalNslip,maxNinstance))
allocate(constitutive_titanmod_pe_PerSlipSystem(maxTotalNslip,maxNinstance))
allocate(constitutive_titanmod_ps_PerSlipSystem(maxTotalNslip,maxNinstance))
allocate(constitutive_titanmod_qe_PerSlipSystem(maxTotalNslip,maxNinstance))
allocate(constitutive_titanmod_qs_PerSlipSystem(maxTotalNslip,maxNinstance))
allocate(constitutive_titanmod_v0e_PerSlipSystem(maxTotalNslip,maxNinstance))
allocate(constitutive_titanmod_v0s_PerSlipSystem(maxTotalNslip,maxNinstance))
allocate(constitutive_titanmod_Ndot0PerTwinSystem(maxTotalNtwin, maxNinstance))
allocate(constitutive_titanmod_twinsizePerTwinSystem(maxTotalNtwin, maxNinstance))
allocate(constitutive_titanmod_CeLambdaSlipPerSlipSystem(maxTotalNslip, maxNinstance))
allocate(constitutive_titanmod_CsLambdaSlipPerSlipSystem(maxTotalNslip, maxNinstance))
constitutive_titanmod_burgersPerSlipSystem = 0.0_pReal
constitutive_titanmod_burgersPerTwinSystem = 0.0_pReal
constitutive_titanmod_f0_PerSlipSystem = 0.0_pReal
constitutive_titanmod_tau0e_PerSlipSystem = 0.0_pReal
constitutive_titanmod_tau0s_PerSlipSystem = 0.0_pReal
constitutive_titanmod_capre_PerSlipSystem = 0.0_pReal
constitutive_titanmod_caprs_PerSlipSystem = 0.0_pReal
constitutive_titanmod_v0e_PerSlipSystem = 0.0_pReal
constitutive_titanmod_v0s_PerSlipSystem = 0.0_pReal
constitutive_titanmod_pe_PerSlipSystem = 0.0_pReal
constitutive_titanmod_ps_PerSlipSystem = 0.0_pReal
constitutive_titanmod_qe_PerSlipSystem = 0.0_pReal
constitutive_titanmod_qs_PerSlipSystem = 0.0_pReal
constitutive_titanmod_Ndot0PerTwinSystem = 0.0_pReal
constitutive_titanmod_twinsizePerTwinSystem = 0.0_pReal
constitutive_titanmod_CeLambdaSlipPerSlipSystem = 0.0_pReal
constitutive_titanmod_CsLambdaSlipPerSlipSystem = 0.0_pReal
allocate(constitutive_titanmod_interactionMatrixSlipSlip(maxTotalNslip,maxTotalNslip,maxNinstance))
allocate(constitutive_titanmod_interactionMatrixSlipTwin(maxTotalNslip,maxTotalNtwin,maxNinstance))
allocate(constitutive_titanmod_interactionMatrixTwinSlip(maxTotalNtwin,maxTotalNslip,maxNinstance))
allocate(constitutive_titanmod_interactionMatrixTwinTwin(maxTotalNtwin,maxTotalNtwin,maxNinstance))
allocate(constitutive_titanmod_forestProjectionEdge(maxTotalNslip,maxTotalNslip,maxNinstance))
constitutive_titanmod_interactionMatrixSlipSlip = 0.0_pReal
constitutive_titanmod_interactionMatrixSlipTwin = 0.0_pReal
constitutive_titanmod_interactionMatrixTwinSlip = 0.0_pReal
constitutive_titanmod_interactionMatrixTwinTwin = 0.0_pReal
constitutive_titanmod_forestProjectionEdge = 0.0_pReal
allocate(constitutive_titanmod_Ctwin_66(6,6,maxTotalNtwin,maxNinstance))
allocate(constitutive_titanmod_Ctwin_3333(3,3,3,3,maxTotalNtwin,maxNinstance))
constitutive_titanmod_Ctwin_66 = 0.0_pReal
constitutive_titanmod_Ctwin_3333 = 0.0_pReal
write(6,*) 'Allocated slip system variables'
do i = 1,maxNinstance
myStructure = constitutive_titanmod_structure(i)
!* Inverse lookup of my slip system family
l = 0_pInt
do f = 1,lattice_maxNslipFamily
do k = 1,constitutive_titanmod_Nslip(f,i)
l = l + 1
constitutive_titanmod_slipFamily(l,i) = f
constitutive_titanmod_slipSystemLattice(l,i) = sum(lattice_NslipSystem(1:f-1,myStructure)) + k
enddo; enddo
!* Inverse lookup of my twin system family
l = 0_pInt
do f = 1,lattice_maxNtwinFamily
do k = 1,constitutive_titanmod_Ntwin(f,i)
l = l + 1
constitutive_titanmod_twinFamily(l,i) = f
constitutive_titanmod_twinSystemLattice(l,i) = sum(lattice_NtwinSystem(1:f-1,myStructure)) + k
enddo; enddo
!* Determine size of state array
ns = constitutive_titanmod_totalNslip(i)
nt = constitutive_titanmod_totalNtwin(i)
constitutive_titanmod_sizeDotState(i) = &
size(constitutive_titanmod_listBasicSlipStates)*ns+size(constitutive_titanmod_listBasicTwinStates)*nt
constitutive_titanmod_sizeState(i) = &
constitutive_titanmod_sizeDotState(i)+ &
size(constitutive_titanmod_listDependentSlipStates)*ns+size(constitutive_titanmod_listDependentTwinStates)*nt
write(6,*) 'Determined size of state and dot state'
!* Determine size of postResults array
do o = 1,maxval(phase_Noutput)
select case(constitutive_titanmod_output(o,i))
case('rhoedge', &
'rhoscrew', &
'shear_rate_slip', &
'mfp_slip', &
'resolved_stress_slip', &
'threshold_stress_slip' &
)
mySize = constitutive_titanmod_totalNslip(i)
case('twin_fraction', &
'shear_rate_twin', &
'mfp_twin', &
'resolved_stress_twin', &
'threshold_stress_twin' &
)
mySize = constitutive_titanmod_totalNtwin(i)
case default
mySize = 0_pInt
end select
if (mySize > 0_pInt) then ! any meaningful output found
constitutive_titanmod_sizePostResult(o,i) = mySize
constitutive_titanmod_sizePostResults(i) = constitutive_titanmod_sizePostResults(i) + mySize
endif
enddo
write(6,*) 'Determining elasticity matrix'
!* Elasticity matrix and shear modulus according to material.config
select case (myStructure)
case(1:2) ! cubic(s)
forall(k=1:3)
forall(j=1:3) &
constitutive_titanmod_Cslip_66(k,j,i) = constitutive_titanmod_C12(i)
constitutive_titanmod_Cslip_66(k,k,i) = constitutive_titanmod_C11(i)
constitutive_titanmod_Cslip_66(k+3,k+3,i) = constitutive_titanmod_C44(i)
end forall
case(3:) ! all hex
constitutive_titanmod_Cslip_66(1,1,i) = constitutive_titanmod_C11(i)
constitutive_titanmod_Cslip_66(2,2,i) = constitutive_titanmod_C11(i)
constitutive_titanmod_Cslip_66(3,3,i) = constitutive_titanmod_C33(i)
constitutive_titanmod_Cslip_66(1,2,i) = constitutive_titanmod_C12(i)
constitutive_titanmod_Cslip_66(2,1,i) = constitutive_titanmod_C12(i)
constitutive_titanmod_Cslip_66(1,3,i) = constitutive_titanmod_C13(i)
constitutive_titanmod_Cslip_66(3,1,i) = constitutive_titanmod_C13(i)
constitutive_titanmod_Cslip_66(2,3,i) = constitutive_titanmod_C13(i)
constitutive_titanmod_Cslip_66(3,2,i) = constitutive_titanmod_C13(i)
constitutive_titanmod_Cslip_66(4,4,i) = constitutive_titanmod_C44(i)
constitutive_titanmod_Cslip_66(5,5,i) = constitutive_titanmod_C44(i)
constitutive_titanmod_Cslip_66(6,6,i) = 0.5_pReal*(constitutive_titanmod_C11(i)-constitutive_titanmod_C12(i))
end select
constitutive_titanmod_Cslip_66(:,:,i) = math_Mandel3333to66(math_Voigt66to3333(constitutive_titanmod_Cslip_66(:,:,i)))
constitutive_titanmod_Cslip_3333(:,:,:,:,i) = math_Voigt66to3333(constitutive_titanmod_Cslip_66(:,:,i))
constitutive_titanmod_Gmod(i) = &
0.2_pReal*(constitutive_titanmod_C11(i)-constitutive_titanmod_C12(i))+0.3_pReal*constitutive_titanmod_C44(i)
!* Construction of the twin elasticity matrices
do j=1,lattice_maxNtwinFamily
do k=1,constitutive_titanmod_Ntwin(j,i)
do l=1,3 ; do m=1,3 ; do n=1,3 ; do o=1,3 ; do p=1,3 ; do q=1,3 ; do r=1,3 ; do s=1,3
constitutive_titanmod_Ctwin_3333(l,m,n,o,sum(constitutive_titanmod_Nslip(1:j-1,i))+k,i) = &
constitutive_titanmod_Ctwin_3333(l,m,n,o,sum(constitutive_titanmod_Nslip(1:j-1,i))+k,i) + &
constitutive_titanmod_Cslip_3333(p,q,r,s,i)*&
lattice_Qtwin(l,p,sum(lattice_NslipSystem(1:j-1,myStructure))+k,myStructure)* &
lattice_Qtwin(m,q,sum(lattice_NslipSystem(1:j-1,myStructure))+k,myStructure)* &
lattice_Qtwin(n,r,sum(lattice_NslipSystem(1:j-1,myStructure))+k,myStructure)* &
lattice_Qtwin(o,s,sum(lattice_NslipSystem(1:j-1,myStructure))+k,myStructure)
enddo ; enddo ; enddo ; enddo ; enddo ; enddo ; enddo ; enddo
constitutive_titanmod_Ctwin_66(:,:,k,i) = math_Mandel3333to66(constitutive_titanmod_Ctwin_3333(:,:,:,:,k,i))
enddo
enddo
!* Burgers vector, dislocation velocity prefactor, mean free path prefactor and minimum dipole distance for each slip system
do s = 1,constitutive_titanmod_totalNslip(i)
f = constitutive_titanmod_slipFamily(s,i)
constitutive_titanmod_burgersPerSlipSystem(s,i) = constitutive_titanmod_burgersPerSlipFamily(f,i)
constitutive_titanmod_f0_PerSlipSystem(s,i) = constitutive_titanmod_f0_PerSlipFamily(f,i)
constitutive_titanmod_tau0e_PerSlipSystem(s,i) = constitutive_titanmod_tau0e_PerSlipFamily(f,i)
constitutive_titanmod_tau0s_PerSlipSystem(s,i) = constitutive_titanmod_tau0s_PerSlipFamily(f,i)
constitutive_titanmod_capre_PerSlipSystem(s,i) = constitutive_titanmod_capre_PerSlipFamily(f,i)
constitutive_titanmod_caprs_PerSlipSystem(s,i) = constitutive_titanmod_caprs_PerSlipFamily(f,i)
constitutive_titanmod_v0e_PerSlipSystem(s,i) = constitutive_titanmod_v0e_PerSlipFamily(f,i)
constitutive_titanmod_v0s_PerSlipSystem(s,i) = constitutive_titanmod_v0s_PerSlipFamily(f,i)
constitutive_titanmod_pe_PerSlipSystem(s,i) = constitutive_titanmod_pe_PerSlipFamily(f,i)
constitutive_titanmod_ps_PerSlipSystem(s,i) = constitutive_titanmod_ps_PerSlipFamily(f,i)
constitutive_titanmod_qe_PerSlipSystem(s,i) = constitutive_titanmod_qe_PerSlipFamily(f,i)
constitutive_titanmod_qs_PerSlipSystem(s,i) = constitutive_titanmod_qs_PerSlipFamily(f,i)
constitutive_titanmod_CeLambdaSlipPerSlipSystem(s,i) = constitutive_titanmod_CeLambdaSlipPerSlipFamily(f,i)
constitutive_titanmod_CsLambdaSlipPerSlipSystem(s,i) = constitutive_titanmod_CsLambdaSlipPerSlipFamily(f,i)
enddo
!* Burgers vector, nucleation rate prefactor and twin size for each twin system
do s = 1,constitutive_titanmod_totalNtwin(i)
f = constitutive_titanmod_twinFamily(s,i)
constitutive_titanmod_burgersPerTwinSystem(s,i) = constitutive_titanmod_burgersPerTwinFamily(f,i)
constitutive_titanmod_Ndot0PerTwinSystem(s,i) = constitutive_titanmod_Ndot0PerTwinFamily(f,i)
constitutive_titanmod_twinsizePerTwinSystem(s,i) = constitutive_titanmod_twinsizePerTwinFamily(f,i)
enddo
!* Construction of interaction matrices
do s1 = 1,constitutive_titanmod_totalNslip(i)
do s2 = 1,constitutive_titanmod_totalNslip(i)
constitutive_titanmod_interactionMatrixSlipSlip(s1,s2,i) = &
constitutive_titanmod_interactionSlipSlip(lattice_interactionSlipSlip(constitutive_titanmod_slipSystemLattice(s1,i), &
constitutive_titanmod_slipSystemLattice(s2,i), &
myStructure),i)
enddo; enddo
do s1 = 1,constitutive_titanmod_totalNslip(i)
do t2 = 1,constitutive_titanmod_totalNtwin(i)
constitutive_titanmod_interactionMatrixSlipTwin(s1,t2,i) = &
constitutive_titanmod_interactionSlipTwin(lattice_interactionSlipTwin(constitutive_titanmod_slipSystemLattice(s1,i), &
constitutive_titanmod_twinSystemLattice(t2,i), &
myStructure),i)
enddo; enddo
do t1 = 1,constitutive_titanmod_totalNtwin(i)
do s2 = 1,constitutive_titanmod_totalNslip(i)
constitutive_titanmod_interactionMatrixTwinSlip(t1,s2,i) = &
constitutive_titanmod_interactionTwinSlip(lattice_interactionTwinSlip(constitutive_titanmod_twinSystemLattice(t1,i), &
constitutive_titanmod_slipSystemLattice(s2,i), &
myStructure),i)
enddo; enddo
do t1 = 1,constitutive_titanmod_totalNtwin(i)
do t2 = 1,constitutive_titanmod_totalNtwin(i)
constitutive_titanmod_interactionMatrixTwinTwin(t1,t2,i) = &
constitutive_titanmod_interactionTwinTwin(lattice_interactionTwinTwin(constitutive_titanmod_twinSystemLattice(t1,i), &
constitutive_titanmod_twinSystemLattice(t2,i), &
myStructure),i)
enddo; enddo
!* Calculation of forest projections for edge dislocations
do s1 = 1,constitutive_titanmod_totalNslip(i)
do s2 = 1,constitutive_titanmod_totalNslip(i)
constitutive_titanmod_forestProjectionEdge(s1,s2,i) = &
abs(math_mul3x3(lattice_sn(:,constitutive_titanmod_slipSystemLattice(s1,i),myStructure), &
lattice_st(:,constitutive_titanmod_slipSystemLattice(s2,i),myStructure)))
enddo; enddo
enddo
write(6,*) 'Init All done'
return
end subroutine
function constitutive_titanmod_stateInit(myInstance)
!*********************************************************************
!* initial microstructural state *
!*********************************************************************
use prec, only: pReal,pInt
use math, only: pi
use lattice, only: lattice_maxNslipFamily,lattice_maxNtwinFamily
implicit none
!* Input-Output variables
integer(pInt) :: myInstance
real(pReal), dimension(constitutive_titanmod_sizeState(myInstance)) :: constitutive_titanmod_stateInit
!* Local variables
integer(pInt) s0,s1,s,t,f,ns,nt
real(pReal), dimension(constitutive_titanmod_totalNslip(myInstance)) :: rho_edge0, &
rho_screw0, &
invLambdaSlip0e, &
invLambdaSlip0s, &
etauSlipThreshold0, &
stauSlipThreshold0
real(pReal), dimension(constitutive_titanmod_totalNtwin(myInstance)) :: MeanFreePathTwin0,TwinVolume0
ns = constitutive_titanmod_totalNslip(myInstance)
nt = constitutive_titanmod_totalNtwin(myInstance)
constitutive_titanmod_stateInit = 0.0_pReal
!* Initialize basic slip state variables
s1 = 0_pInt
do f = 1,lattice_maxNslipFamily
s0 = s1 + 1_pInt
s1 = s0 + constitutive_titanmod_Nslip(f,myInstance) - 1_pInt
do s = s0,s1
rho_edge0(s) = constitutive_titanmod_rho_edge0(f,myInstance)
rho_screw0(s) = constitutive_titanmod_rho_screw0(f,myInstance)
enddo
enddo
constitutive_titanmod_stateInit(1:ns) = rho_edge0
constitutive_titanmod_stateInit(ns+1:2*ns) = rho_screw0
!* Initialize dependent slip microstructural variables
forall (s = 1:ns) &
invLambdaSlip0e(s) = sqrt(sum(rho_edge0(1:ns))+sum(rho_screw0(1:ns)))/ &
constitutive_titanmod_CeLambdaSlipPerSlipSystem(s,myInstance)
constitutive_titanmod_stateInit(2*ns+nt+1:3*ns+nt) = invLambdaSlip0e
forall (s = 1:ns) &
invLambdaSlip0s(s) = sqrt(sum(rho_edge0(1:ns))+sum(rho_screw0(1:ns)))/ &
constitutive_titanmod_CsLambdaSlipPerSlipSystem(s,myInstance)
constitutive_titanmod_stateInit(4*ns+2*nt+1:5*ns+2*nt) = invLambdaSlip0s
forall (s = 1:ns) &
etauSlipThreshold0(s) = &
constitutive_titanmod_Gmod(myInstance)*constitutive_titanmod_burgersPerSlipSystem(s,myInstance)* &
sqrt(dot_product((rho_edge0+rho_screw0),constitutive_titanmod_interactionMatrixSlipSlip(1:ns,s,myInstance)))
constitutive_titanmod_stateInit(5*ns+3*nt+1:6*ns+3*nt) = etauSlipThreshold0
forall (s = 1:ns) &
stauSlipThreshold0(s) = &
constitutive_titanmod_Gmod(myInstance)*constitutive_titanmod_burgersPerSlipSystem(s,myInstance)* &
sqrt(dot_product((rho_edge0+rho_screw0),constitutive_titanmod_interactionMatrixSlipSlip(1:ns,s,myInstance)))
constitutive_titanmod_stateInit(6*ns+3*nt+1:7*ns+3*nt) = stauSlipThreshold0
!* Initialize dependent twin microstructural variables
forall (t = 1:nt) &
MeanFreePathTwin0(t) = constitutive_titanmod_GrainSize(myInstance)
constitutive_titanmod_stateInit(5*ns+2*nt+1:5*ns+3*nt) = MeanFreePathTwin0
forall (t = 1:nt) &
TwinVolume0(t) = &
(pi/6.0_pReal)*constitutive_titanmod_twinsizePerTwinSystem(t,myInstance)*MeanFreePathTwin0(t)**(2.0_pReal)
constitutive_titanmod_stateInit(6*ns+4*nt+1:6*ns+5*nt) = TwinVolume0
!write(6,*) '#STATEINIT#'
!write(6,*)
!write(6,'(a,/,4(3(f30.20,x)/))') 'rho_edge',rho_edge0
!write(6,'(a,/,4(3(f30.20,x)/))') 'rho_screw',rho_screw0
!write(6,'(a,/,4(3(f30.20,x)/))') 'invLambdaSlipe',invLambdaSlip0e
!write(6,'(a,/,4(3(f30.20,x)/))') 'invLambdaSlips',invLambdaSlip0s
!write(6,'(a,/,4(3(f30.20,x)/))') 'tauSlipThreshold', tauSlipThreshold0
!write(6,'(a,/,4(3(f30.20,x)/))') 'MeanFreePathTwin', MeanFreePathTwin0
!write(6,'(a,/,4(3(f30.20,x)/))') 'TwinVolume', TwinVolume0
return
end function
pure function constitutive_titanmod_relevantState(myInstance)
!*********************************************************************
!* relevant microstructural state *
!*********************************************************************
use prec, only: pReal, pInt
implicit none
!* Input-Output variables
integer(pInt), intent(in) :: myInstance
real(pReal), dimension(constitutive_titanmod_sizeState(myInstance)) :: constitutive_titanmod_relevantState
constitutive_titanmod_relevantState = constitutive_titanmod_relevantRho(myInstance)
return
endfunction
pure function constitutive_titanmod_homogenizedC(state,g,ip,el)
!*********************************************************************
!* calculates homogenized elacticity matrix *
!* - state : microstructure quantities *
!* - g : component-ID of current integration point *
!* - ip : current integration point *
!* - el : current element *
!*********************************************************************
use prec, only: pReal,pInt,p_vec
use mesh, only: mesh_NcpElems,mesh_maxNips
use material, only: homogenization_maxNgrains,material_phase,phase_constitutionInstance
implicit none
!* Input-Output variables
integer(pInt), intent(in) :: g,ip,el
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: state
real(pReal), dimension(6,6) :: constitutive_titanmod_homogenizedC
!* Local variables
integer(pInt) myInstance,ns,nt,i
real(pReal) sumf
!* Shortened notation
myInstance = phase_constitutionInstance(material_phase(g,ip,el))
ns = constitutive_titanmod_totalNslip(myInstance)
nt = constitutive_titanmod_totalNtwin(myInstance)
!* Total twin volume fraction
sumf = sum(state(g,ip,el)%p((2*ns+1):(2*ns+nt))) ! safe for nt == 0
!* Homogenized elasticity matrix
constitutive_titanmod_homogenizedC = (1.0_pReal-sumf)*constitutive_titanmod_Cslip_66(:,:,myInstance)
do i=1,nt
constitutive_titanmod_homogenizedC = &
constitutive_titanmod_homogenizedC + state(g,ip,el)%p(2*ns+i)*constitutive_titanmod_Ctwin_66(:,:,i,myInstance)
enddo
return
end function
subroutine constitutive_titanmod_microstructure(Temperature,state,g,ip,el)
!*********************************************************************
!* calculates quantities characterizing the microstructure *
!* - Temperature : temperature *
!* - state : microstructure quantities *
!* - ipc : component-ID of current integration point *
!* - ip : current integration point *
!* - el : current element *
!*********************************************************************
use prec, only: pReal,pInt,p_vec
use math, only: pi
use mesh, only: mesh_NcpElems,mesh_maxNips
use material, only: homogenization_maxNgrains,material_phase,phase_constitutionInstance
use lattice, only: lattice_interactionSlipTwin,lattice_interactionTwinTwin
!use debug, only: debugger
implicit none
!* Input-Output variables
integer(pInt), intent(in) :: g,ip,el
real(pReal), intent(in) :: Temperature
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(inout) :: state
!* Local variables
integer(pInt) myInstance,myStructure,ns,nt,s,t,i
real(pReal) sumf,sfe
real(pReal), dimension(constitutive_titanmod_totalNtwin(phase_constitutionInstance(material_phase(g,ip,el)))) :: fOverStacksize
!* Shortened notation
myInstance = phase_constitutionInstance(material_phase(g,ip,el))
myStructure = constitutive_titanmod_structure(myInstance)
ns = constitutive_titanmod_totalNslip(myInstance)
nt = constitutive_titanmod_totalNtwin(myInstance)
!* State: 1 : ns rho_edge
!* State: ns+1 : 2*ns rho_screw
!* State: 2*ns+1 : 2*ns+nt f
!* State: 2*ns+nt+1 : 3*ns+nt 1/lambda_slip
!* State: 3*ns+nt+1 : 4*ns+nt 1/lambda_sliptwin
!* State: 4*ns+nt+1 : 4*ns+2*nt 1/lambda_twin
!* State: 4*ns+2*nt+1 : 5*ns+2*nt mfp_slip
!* State: 5*ns+2*nt+1 : 5*ns+3*nt mfp_twin
!* State: 5*ns+3*nt+1 : 6*ns+3*nt threshold_stress_slip
!* State: 6*ns+3*nt+1 : 6*ns+4*nt threshold_stress_twin
!* State: 6*ns+4*nt+1 : 6*ns+5*nt twin volume
!* Total twin volume fraction
sumf = sum(state(g,ip,el)%p((2*ns+1):(2*ns+nt))) ! safe for nt == 0
!* Stacking fault energy
sfe = 0.0002_pReal*Temperature-0.0396_pReal
!* rescaled twin volume fraction for topology
forall (t = 1:nt) &
fOverStacksize(t) = &
state(g,ip,el)%p(2*ns+t)/constitutive_titanmod_twinsizePerTwinSystem(t,myInstance)
!* 1/mean free distance between 2 forest dislocations seen by a moving dislocation
forall (s = 1:ns) &
state(g,ip,el)%p(2*ns+nt+s) = &
sqrt(state(g,ip,el)%p(s)+state(g,ip,el)%p(ns+s))/ &
constitutive_titanmod_CeLambdaSlipPerSlipSystem(s,myInstance)
!* 1/mean free distance between 2 twin stacks from different systems seen by a moving dislocation
!$OMP CRITICAL (evilmatmul)
state(g,ip,el)%p((3*ns+nt+1):(4*ns+nt)) = 0.0_pReal
if (nt > 0_pInt) &
state(g,ip,el)%p((3*ns+nt+1):(4*ns+nt)) = &
matmul(constitutive_titanmod_interactionMatrixSlipTwin(1:ns,1:nt,myInstance),fOverStacksize(1:nt))/(1.0_pReal-sumf)
!$OMP END CRITICAL (evilmatmul)
!* 1/mean free distance between 2 twin stacks from different systems seen by a growing twin
!$OMP CRITICAL (evilmatmul)
if (nt > 0_pInt) &
state(g,ip,el)%p((4*ns+nt+1):(4*ns+2*nt)) = &
matmul(constitutive_titanmod_interactionMatrixTwinTwin(1:nt,1:nt,myInstance),fOverStacksize(1:nt))/(1.0_pReal-sumf)
!$OMP END CRITICAL (evilmatmul)
!* mean free path between 2 obstacles seen by a moving dislocation
do s = 1,ns
if (nt > 0_pInt) then
state(g,ip,el)%p(4*ns+2*nt+s) = &
constitutive_titanmod_CsLambdaSlipPerSlipSystem(s,myInstance) / &
sqrt(sum(state(g,ip,el)%p(1:2*ns)))
else
state(g,ip,el)%p(4*ns+s) = &
constitutive_titanmod_CsLambdaSlipPerSlipSystem(s,myInstance) / &
sqrt(sum(state(g,ip,el)%p(1:2*ns)))
! (1.0_pReal+constitutive_titanmod_GrainSize(myInstance)*(state(g,ip,el)%p(2*ns+s)))
endif
enddo
!* mean free path between 2 obstacles seen by a growing twin
forall (t = 1:nt) &
state(g,ip,el)%p(5*ns+2*nt+t) = &
(constitutive_titanmod_Cmfptwin(myInstance)*constitutive_titanmod_GrainSize(myInstance))/&
(1.0_pReal+constitutive_titanmod_GrainSize(myInstance)*state(g,ip,el)%p(4*ns+nt+t))
!* threshold stress for edge dislocation motion
forall (s = 1:ns) &
state(g,ip,el)%p(5*ns+3*nt+s) = &
constitutive_titanmod_Gmod(myInstance)*constitutive_titanmod_burgersPerSlipSystem(s,myInstance)*&
sqrt(dot_product((state(g,ip,el)%p(1:ns)+state(g,ip,el)%p(ns+1:2*ns)),&
constitutive_titanmod_interactionMatrixSlipSlip(1:ns,s,myInstance)))
!* threshold stress for screw dislocation motion
forall (s = 1:ns) &
state(g,ip,el)%p(6*ns+3*nt+s) = &
constitutive_titanmod_Gmod(myInstance)*constitutive_titanmod_burgersPerSlipSystem(s,myInstance)*&
sqrt(dot_product((state(g,ip,el)%p(1:ns)+state(g,ip,el)%p(ns+1:2*ns)),&
constitutive_titanmod_interactionMatrixSlipSlip(1:ns,s,myInstance)))
!* threshold stress for growing twin
forall (t = 1:nt) &
state(g,ip,el)%p(6*ns+3*nt+t) = &
constitutive_titanmod_Cthresholdtwin(myInstance)*&
(sfe/(3.0_pReal*constitutive_titanmod_burgersPerTwinSystem(t,myInstance))+&
3.0_pReal*constitutive_titanmod_burgersPerTwinSystem(t,myInstance)*constitutive_titanmod_Gmod(myInstance)/&
state(g,ip,el)%p(5*ns+2*nt+t))
!* final twin volume after growth
forall (t = 1:nt) &
state(g,ip,el)%p(6*ns+4*nt+t) = &
(pi/6.0_pReal)*constitutive_titanmod_twinsizePerTwinSystem(t,myInstance)*state(g,ip,el)%p(5*ns+2*nt+t)**(2.0_pReal)
!if ((ip==1).and.(el==1)) then
! write(6,*) '#MICROSTRUCTURE#'
! write(6,*)
! write(6,'(a,/,4(3(f10.4,x)/))') 'rho_edge',state(g,ip,el)%p(1:ns)/1e9
! write(6,'(a,/,4(3(f10.4,x)/))') 'rho_screw',state(g,ip,el)%p(ns+1:2*ns)/1e9
! write(6,'(a,/,4(3(f10.4,x)/))') 'Fraction',state(g,ip,el)%p(2*ns+1:2*ns+nt)
!endif
return
end subroutine
subroutine constitutive_titanmod_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperature,state,g,ip,el)
!*********************************************************************
!* calculates plastic velocity gradient and its tangent *
!* INPUT: *
!* - Temperature : temperature *
!* - state : microstructure quantities *
!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
!* - ipc : component-ID at current integration point *
!* - ip : current integration point *
!* - el : current element *
!* OUTPUT: *
!* - Lp : plastic velocity gradient *
!* - dLp_dTstar : derivative of Lp (4th-rank tensor) *
!*********************************************************************
use prec, only: pReal,pInt,p_vec
use math, only: math_Plain3333to99
use mesh, only: mesh_NcpElems,mesh_maxNips
use material, only: homogenization_maxNgrains,material_phase,phase_constitutionInstance
use lattice, only: lattice_Sslip,lattice_Sslip_v,lattice_Stwin,lattice_Stwin_v,lattice_maxNslipFamily,lattice_maxNtwinFamily, &
lattice_NslipSystem,lattice_NtwinSystem,lattice_shearTwin
implicit none
!* Input-Output variables
integer(pInt), intent(in) :: g,ip,el
real(pReal), intent(in) :: Temperature
real(pReal), dimension(6), intent(in) :: Tstar_v
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(inout) :: state
real(pReal), dimension(3,3), intent(out) :: Lp
real(pReal), dimension(9,9), intent(out) :: dLp_dTstar
!* Local variables
integer(pInt) myInstance,myStructure,ns,nt,f,i,j,k,l,m,n,index_myFamily
real(pReal) sumf,StressRatio_edge_p,StressRatio_edge_pminus1,StressRatio_screw_p,StressRatio_screw_pminus1, &
StressRatio_r,BoltzmannRatio,DotGamma0
real(pReal), dimension(3,3,3,3) :: dLp_dTstar3333
real(pReal), dimension(constitutive_titanmod_totalNslip(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
gdot_slip,dgdot_dtauslip,tau_slip
real(pReal), dimension(constitutive_titanmod_totalNtwin(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
gdot_twin,dgdot_dtautwin,tau_twin
!* Shortened notation
myInstance = phase_constitutionInstance(material_phase(g,ip,el))
myStructure = constitutive_titanmod_structure(myInstance)
ns = constitutive_titanmod_totalNslip(myInstance)
nt = constitutive_titanmod_totalNtwin(myInstance)
!* Total twin volume fraction
sumf = sum(state(g,ip,el)%p((2*ns+1):(2*ns+nt))) ! safe for nt == 0
Lp = 0.0_pReal
dLp_dTstar3333 = 0.0_pReal
dLp_dTstar = 0.0_pReal
!* Dislocation glide part
gdot_slip = 0.0_pReal
dgdot_dtauslip = 0.0_pReal
j = 0_pInt
do f = 1,lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum(lattice_NslipSystem(1:f-1,myStructure)) ! at which index starts my family
do i = 1,constitutive_titanmod_Nslip(f,myInstance) ! process each (active) slip system in family
j = j+1_pInt
!* Calculation of Lp
!* Resolved shear stress on slip system
tau_slip(j) = dot_product(Tstar_v,lattice_Sslip_v(:,index_myFamily+i,myStructure))
!*************************************************
!* Stress ratio for edge
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
if((abs(tau_slip(j))-state(g,ip,el)%p(5*ns+3*nt+j))>0.0_pReal) then
StressRatio_edge_p = ((abs(tau_slip(j))-state(g,ip,el)%p(5*ns+3*nt+j))/ &
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
constitutive_titanmod_tau0e_PerSlipSystem(j,myInstance))**constitutive_titanmod_pe_PerSlipSystem(j,myInstance)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
else
StressRatio_edge_p=0.0_pReal
endif
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
!* Stress ratio for screw
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
if((abs(tau_slip(j))-state(g,ip,el)%p(6*ns+3*nt+j))>0.0_pReal) then
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
StressRatio_screw_p = ((abs(tau_slip(j))-state(g,ip,el)%p(6*ns+3*nt+j))/ &
constitutive_titanmod_tau0s_PerSlipSystem(j,myInstance))**constitutive_titanmod_pe_PerSlipSystem(j,myInstance)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
else
StressRatio_screw_p=0.0_pReal
endif
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
!* Stress ratio for edge p minus1
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
if((abs(tau_slip(j))-state(g,ip,el)%p(5*ns+3*nt+j))>0.0_pReal) then
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
StressRatio_edge_pminus1 = ((abs(tau_slip(j))-state(g,ip,el)%p(5*ns+3*nt+j))/ &
constitutive_titanmod_tau0e_PerSlipSystem(j,myInstance))**(constitutive_titanmod_pe_PerSlipSystem(j,myInstance)-1)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
else
StressRatio_edge_pminus1=0.0_pReal
endif
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
!* Stress ratio for screw p minus1
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
if((abs(tau_slip(j))-state(g,ip,el)%p(6*ns+3*nt+j))>0.0_pReal) then
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
StressRatio_screw_pminus1 = ((abs(tau_slip(j))-state(g,ip,el)%p(6*ns+3*nt+j))/ &
constitutive_titanmod_tau0s_PerSlipSystem(j,myInstance))**(constitutive_titanmod_pe_PerSlipSystem(j,myInstance)-1)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
else
StressRatio_screw_pminus1=0.0_pReal
endif
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
!* Boltzmann ratio
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
BoltzmannRatio = constitutive_titanmod_f0_PerSlipSystem(j,myInstance)/(kB*Temperature)
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
!* Initial shear rates
DotGamma0 = &
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
constitutive_titanmod_burgersPerSlipSystem(j,myInstance)*2.0_pReal*(state(g,ip,el)%p(j)*&
+ constitutive_titanmod_v0e_PerSlipSystem(j,myInstance)+state(g,ip,el)%p(ns+j)* &
constitutive_titanmod_v0e_PerSlipSystem(j,myInstance))
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
!* Shear rates due to slip
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
gdot_slip(j) = constitutive_titanmod_burgersPerSlipSystem(j,myInstance)*2.0_pReal*(state(g,ip,el)%p(j)* &
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
constitutive_titanmod_v0e_PerSlipSystem(j,myInstance)*exp(-BoltzmannRatio*(1-StressRatio_edge_p)** &
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
constitutive_titanmod_qe_PerSlipSystem(j,myInstance))+state(g,ip,el)%p(ns+j)* &
constitutive_titanmod_v0s_PerSlipSystem(j,myInstance)*exp(-BoltzmannRatio*(1-StressRatio_screw_p)** &
constitutive_titanmod_qs_PerSlipSystem(j,myInstance)))* sign(1.0_pReal,tau_slip(j))
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
!* Derivatives of shear rates
dgdot_dtauslip(j) = &
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
2.0_pReal* &
( &
( &
( &
( &
abs(gdot_slip(j)) &
*BoltzmannRatio*&
constitutive_titanmod_pe_PerSlipSystem(j,myInstance)* &
constitutive_titanmod_qe_PerSlipSystem(j,myInstance) &
)/ &
constitutive_titanmod_tau0e_PerSlipSystem(j,myInstance) &
)*&
StressRatio_edge_pminus1*(1-StressRatio_edge_p)** &
(constitutive_titanmod_qe_PerSlipSystem(j,myInstance)-1.0_pReal) &
) + &
( &
( &
(abs(gdot_slip(j))*BoltzmannRatio*&
constitutive_titanmod_ps_PerSlipSystem(j,myInstance)* &
constitutive_titanmod_qs_PerSlipSystem(j,myInstance) &
)/ &
constitutive_titanmod_tau0s_PerSlipSystem(j,myInstance) &
)*&
StressRatio_screw_pminus1*(1-StressRatio_screw_p)**(constitutive_titanmod_qs_PerSlipSystem(j,myInstance)-1.0_pReal) &
) &
)
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
!*************************************************
!* Plastic velocity gradient for dislocation glide
Lp = Lp + (1.0_pReal - sumf)*gdot_slip(j)*lattice_Sslip(:,:,index_myFamily+i,myStructure)
!* Calculation of the tangent of Lp
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
dLp_dTstar3333(k,l,m,n) = &
dLp_dTstar3333(k,l,m,n) + dgdot_dtauslip(j)*&
lattice_Sslip(k,l,index_myFamily+i,myStructure)*&
lattice_Sslip(m,n,index_myFamily+i,myStructure)
enddo
enddo
!* Mechanical twinning part
gdot_twin = 0.0_pReal
dgdot_dtautwin = 0.0_pReal
j = 0_pInt
do f = 1,lattice_maxNtwinFamily ! loop over all slip families
index_myFamily = sum(lattice_NtwinSystem(1:f-1,myStructure)) ! at which index starts my family
do i = 1,constitutive_titanmod_Ntwin(f,myInstance) ! process each (active) slip system in family
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,myStructure))
!* Stress ratios
StressRatio_r = (state(g,ip,el)%p(6*ns+3*nt+j)/tau_twin(j))**constitutive_titanmod_r(myInstance)
!* Shear rates and their derivatives due to twin
if ( tau_twin(j) > 0.0_pReal ) then
gdot_twin(j) = &
(constitutive_titanmod_MaxTwinFraction(myInstance)-sumf)*lattice_shearTwin(index_myFamily+i,myStructure)*&
state(g,ip,el)%p(6*ns+4*nt+j)*constitutive_titanmod_Ndot0PerTwinSystem(f,myInstance)*exp(-StressRatio_r)
dgdot_dtautwin(j) = ((gdot_twin(j)*constitutive_titanmod_r(myInstance))/tau_twin(j))*StressRatio_r
endif
!* Plastic velocity gradient for mechanical twinning
Lp = Lp + gdot_twin(j)*lattice_Stwin(:,:,index_myFamily+i,myStructure)
!* Calculation of the tangent of Lp
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
dLp_dTstar3333(k,l,m,n) = &
dLp_dTstar3333(k,l,m,n) + dgdot_dtautwin(j)*&
lattice_Stwin(k,l,index_myFamily+i,myStructure)*&
lattice_Stwin(m,n,index_myFamily+i,myStructure)
enddo
enddo
dLp_dTstar = math_Plain3333to99(dLp_dTstar3333)
!if ((ip==1).and.(el==1)) then
! write(6,*) '#LP/TANGENT#'
! write(6,*)
! write(6,*) 'Tstar_v', Tstar_v
! write(6,*) 'tau_slip', tau_slip
! write(6,'(a10,/,4(3(e20.8,x),/))') 'state',state(1,1,1)%p
! write(6,'(a,/,3(3(f10.4,x)/))') 'Lp',Lp
! write(6,'(a,/,9(9(f10.4,x)/))') 'dLp_dTstar',dLp_dTstar
!endif
return
end subroutine
function constitutive_titanmod_dotState(Tstar_v,Temperature,state,g,ip,el)
!*********************************************************************
!* rate of change of microstructure *
!* INPUT: *
!* - Temperature : temperature *
!* - state : microstructure quantities *
!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
!* - ipc : component-ID at current integration point *
!* - ip : current integration point *
!* - el : current element *
!* OUTPUT: *
!* - constitutive_dotState : evolution of state variable *
!*********************************************************************
use prec, only: pReal,pInt,p_vec
use math, only: pi
use mesh, only: mesh_NcpElems,mesh_maxNips
use material, only: homogenization_maxNgrains,material_phase, phase_constitutionInstance
use lattice, only: lattice_Sslip,lattice_Sslip_v,lattice_Stwin,lattice_Stwin_v,lattice_maxNslipFamily,lattice_maxNtwinFamily, &
lattice_NslipSystem,lattice_NtwinSystem,lattice_shearTwin
implicit none
!* Input-Output variables
integer(pInt), intent(in) :: g,ip,el
real(pReal), intent(in) :: Temperature
real(pReal), dimension(6), intent(in) :: Tstar_v
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: state
real(pReal), dimension(constitutive_titanmod_sizeDotState(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
constitutive_titanmod_dotState
!* Local variables
integer(pInt) MyInstance,MyStructure,ns,nt,f,i,j,k,index_myFamily,s
real(pReal) sumf,StressRatio_edge_p,StressRatio_pminus1,BoltzmannRatio,DotGamma0,&
EdgeDipMinDistance,AtomicVolume,VacancyDiffusion,StressRatio_r,StressRatio_screw_p
real(pReal), dimension(constitutive_titanmod_totalNslip(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
gdot_slip,tau_slip,DotRhoEdgeGeneration,EdgeDipDistance,DotRhoEdgeAnnihilation,DotRhoScrewAnnihilation,&
ClimbVelocity,DotRhoScrewGeneration, edge_segment, screw_segment,edge_velocity,screw_velocity
real(pReal), dimension(constitutive_titanmod_totalNtwin(phase_constitutionInstance(material_phase(g,ip,el)))) :: gdot_twin,tau_twin
!* Shortened notation
myInstance = phase_constitutionInstance(material_phase(g,ip,el))
MyStructure = constitutive_titanmod_structure(myInstance)
ns = constitutive_titanmod_totalNslip(myInstance)
nt = constitutive_titanmod_totalNtwin(myInstance)
!* Total twin volume fraction
sumf = sum(state(g,ip,el)%p((2*ns+1):(2*ns+nt))) ! safe for nt == 0
constitutive_titanmod_dotState = 0.0_pReal
!* average segment length for edge dislocations
forall (s = 1:ns) &
edge_segment(s) = &
(constitutive_titanmod_CeLambdaSlipPerSlipSystem(s,myInstance))/(sum(state(g,ip,el)%p(1:2*ns) &
))**0.5_pReal
!* average segment length for screw dislocations
forall (s = 1:ns) &
screw_segment(s) = &
(constitutive_titanmod_CsLambdaSlipPerSlipSystem(s,myInstance))/(sum(state(g,ip,el)%p(1:2*ns) &
))**0.5_pReal
j = 0_pInt
do f = 1,lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum(lattice_NslipSystem(1:f-1,myStructure)) ! at which index starts my family
do i = 1,constitutive_titanmod_Nslip(f,myInstance) ! process each (active) slip system in family
j = j+1_pInt
! Resolved shear stress
tau_slip(j) = dot_product(Tstar_v,lattice_Sslip_v(:,index_myFamily+i,myStructure))
!* Stress ratio for edge
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
if((abs(tau_slip(j))-state(g,ip,el)%p(5*ns+3*nt+j)) > 0.0_pReal) then
StressRatio_edge_p = ((abs(tau_slip(j))-state(g,ip,el)%p(5*ns+3*nt+j))/ &
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
constitutive_titanmod_tau0e_PerSlipSystem(j,myInstance))** constitutive_titanmod_pe_PerSlipSystem(j,myInstance)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
else
StressRatio_edge_p=0.0_pReal
endif
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
!* Stress ratio for screw
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
if((abs(tau_slip(j))-state(g,ip,el)%p(6*ns+3*nt+j)) > 0.0_pReal) then
StressRatio_screw_p = ((abs(tau_slip(j))-state(g,ip,el)%p(6*ns+3*nt+j))/ &
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
constitutive_titanmod_tau0s_PerSlipSystem(j,myInstance))**constitutive_titanmod_ps_PerSlipSystem(j,myInstance)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
else
StressRatio_screw_p=0.0_pReal
endif
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
!* Boltzmann ratio
BoltzmannRatio = constitutive_titanmod_f0_PerSlipSystem(j,myInstance)/(kB*Temperature)
! if (tau_slip(j) == 0.0_pReal) then
! edge_velocity(j) = 0.0_pReal
! screw_velocity(j) = 0.0_pReal
! else
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
edge_velocity(j) =constitutive_titanmod_v0e_PerSlipSystem(j,myInstance)*exp(-BoltzmannRatio*(1-StressRatio_edge_p)** &
constitutive_titanmod_qe_PerSlipSystem(j,myInstance))
screw_velocity(j) =constitutive_titanmod_v0s_PerSlipSystem(j,myInstance)*exp(-BoltzmannRatio*(1-StressRatio_screw_p)** &
constitutive_titanmod_qs_PerSlipSystem(j,myInstance))
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
! endif
! write(6,*) 'edge_segment(j) ',edge_segment(j)
! write(6,*) 'screw_segment(j) ',screw_segment(j)
! write(6,*) 'tau_slip(j) ',tau_slip(j)
! write(6,*) 'Temperature ',Temperature
! write(6,*) 'kB ',kB
! write(6,*) 'constitutive_titanmod_f0_PerSlipSystem(j,myInstance) ',constitutive_titanmod_f0_PerSlipSystem(j,myInstance)
! write(6,*) 'StressRatio_edge_p',StressRatio_edge_p,j
! write(6,*) 'StressRatio_screw_p',StressRatio_screw_p,j
! write(6,*) 'edge_velocity(j)',edge_velocity(j),j
! write(6,*) 'screw_velocity(j)',screw_velocity(j),j
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
!* Multiplication of edge dislocations
DotRhoEdgeGeneration(j) = 4.0_pReal*(state(g,ip,el)%p(ns+j)*screw_velocity(j)/screw_segment(j))
!* Multiplication of screw dislocations
DotRhoScrewGeneration(j) = 4.0_pReal*(state(g,ip,el)%p(j)*edge_velocity(j)/edge_segment(j))
!* Annihilation of edge dislocations
DotRhoEdgeAnnihilation(j) = -4.0_pReal*((state(g,ip,el)%p(j))**2)* &
constitutive_titanmod_capre_PerSlipSystem(j,myInstance)*edge_velocity(j)
!* Annihilation of screw dislocations
DotRhoScrewAnnihilation(j) = -4.0_pReal*((state(g,ip,el)%p(ns+j))**2)* &
constitutive_titanmod_caprs_PerSlipSystem(j,myInstance)*screw_velocity(j)
!* Edge dislocation density rate of change
constitutive_titanmod_dotState(j) = &
DotRhoEdgeGeneration(j)+DotRhoEdgeAnnihilation(j)
!* Screw dislocation density rate of change
constitutive_titanmod_dotState(ns+j) = &
DotRhoScrewGeneration(j)+DotRhoScrewAnnihilation(j)
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
! write(6,*) 'DotRhoEdgeGeneration(j)',DotRhoEdgeGeneration(j)
! write(6,*) 'DotRhoScrewGeneration(j)',DotRhoScrewGeneration(j)
! write(6,*) 'DotRhoEdgeAnnihilation(j)',DotRhoEdgeAnnihilation(j)
! write(6,*) 'DotRhoScrewAnnihilation(j)',DotRhoScrewAnnihilation(j)
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
enddo
enddo
!* Twin volume fraction evolution
j = 0_pInt
do f = 1,lattice_maxNtwinFamily ! loop over all twin families
index_myFamily = sum(lattice_NtwinSystem(1:f-1,MyStructure)) ! at which index starts my family
do i = 1,constitutive_titanmod_Ntwin(f,myInstance) ! 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,myStructure))
!* Stress ratios
StressRatio_r = (state(g,ip,el)%p(6*ns+3*nt+j)/tau_twin(j))**constitutive_titanmod_r(myInstance)
!* Shear rates and their derivatives due to twin
if ( tau_twin(j) > 0.0_pReal ) then
constitutive_titanmod_dotState(2*ns+j) = &
(constitutive_titanmod_MaxTwinFraction(myInstance)-sumf)*&
state(g,ip,el)%p(6*ns+4*nt+j)*constitutive_titanmod_Ndot0PerTwinSystem(f,myInstance)*exp(-StressRatio_r)
endif
enddo
enddo
!write(6,*) '#DOTSTATE#'
!write(6,*)
!write(6,'(a,/,4(3(f30.20,x)/))') 'tau slip',tau_slip
!write(6,'(a,/,4(3(f30.20,x)/))') 'gamma slip',gdot_slip
!write(6,'(a,/,4(3(f30.20,x)/))') 'rho_edge',state(g,ip,el)%p(1:ns)
!write(6,'(a,/,4(3(f30.20,x)/))') 'Threshold Slip Edge', state(g,ip,el)%p(5*ns+3*nt+1:6*ns+3*nt)
!write(6,'(a,/,4(3(f30.20,x)/))') 'Threshold Slip Screw', state(g,ip,el)%p(6*ns+3*nt+1:7*ns+3*nt)
!write(6,'(a,/,4(3(f30.20,x)/))') 'EdgeGeneration',DotRhoEdgeGeneration
!write(6,'(a,/,4(3(f30.20,x)/))') 'ScrewGeneration',DotRhoScrewGeneration
!write(6,'(a,/,4(3(f30.20,x)/))') 'EdgeAnnihilation',DotRhoEdgeAnnihilation
!write(6,'(a,/,4(3(f30.20,x)/))') 'ScrewAnnihilation',DotRhoScrewAnnihilation
!write(6,'(a,/,4(3(f30.20,x)/))') 'DipClimb',DotRhoEdgeDipClimb
return
end function
pure function constitutive_titanmod_dotTemperature(Tstar_v,Temperature,state,g,ip,el)
!*********************************************************************
!* rate of change of microstructure *
!* INPUT: *
!* - Temperature : temperature *
!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
!* - ipc : component-ID at current integration point *
!* - ip : current integration point *
!* - el : current element *
!* OUTPUT: *
!* - constitutive_dotTemperature : evolution of Temperature *
!*********************************************************************
use prec, only: pReal,pInt,p_vec
use mesh, only: mesh_NcpElems,mesh_maxNips
use material, only: homogenization_maxNgrains
implicit none
!* Input-Output variables
integer(pInt), intent(in) :: g,ip,el
real(pReal), intent(in) :: Temperature
real(pReal), dimension(6), intent(in) :: Tstar_v
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: state
real(pReal) constitutive_titanmod_dotTemperature
constitutive_titanmod_dotTemperature = 0.0_pReal
return
end function
pure function constitutive_titanmod_postResults(Tstar_v,Temperature,dt,state,g,ip,el)
!*********************************************************************
!* return array of constitutive results *
!* INPUT: *
!* - Temperature : temperature *
!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
!* - dt : current time increment *
!* - ipc : component-ID at current integration point *
!* - ip : current integration point *
!* - el : current element *
!*********************************************************************
use prec, only: pReal,pInt,p_vec
use math, only: pi
use mesh, only: mesh_NcpElems,mesh_maxNips
use material, only: homogenization_maxNgrains,material_phase,phase_constitutionInstance,phase_Noutput
use lattice, only: lattice_Sslip_v,lattice_Stwin_v,lattice_maxNslipFamily,lattice_maxNtwinFamily, &
lattice_NslipSystem,lattice_NtwinSystem,lattice_shearTwin
implicit none
!* Definition of variables
integer(pInt), intent(in) :: g,ip,el
real(pReal), intent(in) :: dt,Temperature
real(pReal), dimension(6), intent(in) :: Tstar_v
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: state
integer(pInt) myInstance,myStructure,ns,nt,f,o,i,c,j,index_myFamily
real(pReal) sumf,tau,StressRatio_p,StressRatio_pminus1,BoltzmannRatio,DotGamma0,StressRatio_r,gdot_slip,dgdot_dtauslip
real(pReal), dimension(constitutive_titanmod_sizePostResults(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
constitutive_titanmod_postResults
!* Shortened notation
myInstance = phase_constitutionInstance(material_phase(g,ip,el))
myStructure = constitutive_titanmod_structure(myInstance)
ns = constitutive_titanmod_totalNslip(myInstance)
nt = constitutive_titanmod_totalNtwin(myInstance)
!* Total twin volume fraction
sumf = sum(state(g,ip,el)%p((2*ns+1):(2*ns+nt))) ! safe for nt == 0
!* Required output
c = 0_pInt
constitutive_titanmod_postResults = 0.0_pReal
do o = 1,phase_Noutput(material_phase(g,ip,el))
select case(constitutive_titanmod_output(o,myInstance))
case ('rhoedge')
constitutive_titanmod_postResults(c+1:c+ns) = state(g,ip,el)%p(1:ns)
c = c + ns
case ('rhoscrew')
constitutive_titanmod_postResults(c+1:c+ns) = state(g,ip,el)%p(ns+1:2*ns)
c = c + ns
case ('shear_rate_slip')
j = 0_pInt
do f = 1,lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum(lattice_NslipSystem(1:f-1,myStructure)) ! at which index starts my family
do i = 1,constitutive_titanmod_Nslip(f,myInstance) ! 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(:,index_myFamily+i,myStructure))
!* Stress ratios
StressRatio_p = (abs(tau)/state(g,ip,el)%p(5*ns+3*nt+j))**constitutive_titanmod_pe_PerSlipSystem(j,myInstance)
StressRatio_pminus1 = (abs(tau)/state(g,ip,el)%p(5*ns+3*nt+j))**(constitutive_titanmod_pe_PerSlipSystem(j,myInstance)-1.0_pReal)
!* Boltzmann ratio
BoltzmannRatio = constitutive_titanmod_f0_PerSlipSystem(j,myInstance)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = &
state(g,ip,el)%p(j)*constitutive_titanmod_burgersPerSlipSystem(f,myInstance)* &
constitutive_titanmod_v0e_PerSlipSystem(f,myInstance)
!* Shear rates due to slip
constitutive_titanmod_postResults(c+j) = &
DotGamma0*exp(-BoltzmannRatio*(1-StressRatio_p)**constitutive_titanmod_qe_PerSlipSystem(j,myInstance))* &
sign(1.0_pReal,tau)
enddo ; enddo
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
! invLambdaSlipe', &
! 'invLambdaSlips', &
! 'etauSlipThreshold', &
! 'stauSlipThreshold', &
! 'invLambdaSlipTwin
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
c = c + ns
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
case ('edgesegment')
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
constitutive_titanmod_postResults(c+1:c+ns) = state(g,ip,el)%p((4*ns+2*nt+1):(5*ns+2*nt))
c = c + ns
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
case ('screwsegment')
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
j = 0_pInt
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
do f = 1,lattice_maxNslipFamily
index_myFamily = sum(lattice_NslipSystem(1:f-1,myStructure))
do i = 1,constitutive_titanmod_Nslip(f,myInstance)
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
j = j + 1_pInt
constitutive_titanmod_postResults(c+j) = dot_product(Tstar_v,lattice_Sslip_v(:,index_myFamily+i,myStructure))
enddo; enddo
c = c + ns
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
case ('edgeresistance')
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
constitutive_titanmod_postResults(c+1:c+ns) = state(g,ip,el)%p((5*ns+3*nt+1):(6*ns+3*nt))
c = c + ns
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
case ('screwresistance')
constitutive_titanmod_postResults(c+1:c+ns) = state(g,ip,el)%p((6*ns+3*nt+1):(6*ns+3*nt))
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
c = c + ns
case ('twin_fraction')
constitutive_titanmod_postResults(c+1:c+nt) = state(g,ip,el)%p((2*ns+1):(2*ns+nt))
c = c + nt
case ('shear_rate_twin')
if (nt > 0_pInt) then
j = 0_pInt
Calibration (Prismatic slip) of the new dislocation density based CPFE model for single crystal alpha-Ti (Titanmod). Formulated edge and screw dislocations mobilities in presence of kink pairs. Updated comments. The model shows the plateau in stress evolution in prismatic orientation which is observed in experiments.
2010-07-15 12:46:15 +05:30
do f = 1,lattice_maxNtwinFamily
index_myFamily = sum(lattice_NtwinSystem(1:f-1,myStructure))
do i = 1,constitutive_titanmod_Ntwin(f,myInstance)
New Titanium CPFE model based on dislocation density. Running but calibration and changes needed.
2010-07-13 13:49:25 +05:30
j = j + 1_pInt
!* Resolved shear stress on twin system
tau = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,myStructure))
!* Stress ratios
StressRatio_r = (state(g,ip,el)%p(6*ns+3*nt+j)/tau)**constitutive_titanmod_r(myInstance)
!* Shear rates and their derivatives due to twin
if ( tau > 0.0_pReal ) then
constitutive_titanmod_postResults(c+j) = &
(constitutive_titanmod_MaxTwinFraction(myInstance)-sumf)*&
state(g,ip,el)%p(6*ns+4*nt+j)*constitutive_titanmod_Ndot0PerTwinSystem(f,myInstance)*exp(-StressRatio_r)
endif
enddo ; enddo
endif
c = c + nt
case ('mfp_twin')
constitutive_titanmod_postResults(c+1:c+nt) = state(g,ip,el)%p((5*ns+2*nt+1):(5*ns+3*nt))
c = c + nt
case ('resolved_stress_twin')
if (nt > 0_pInt) then
j = 0_pInt
do f = 1,lattice_maxNtwinFamily ! loop over all slip families
index_myFamily = sum(lattice_NtwinSystem(1:f-1,myStructure)) ! at which index starts my family
do i = 1,constitutive_titanmod_Ntwin(f,myInstance) ! process each (active) slip system in family
j = j + 1_pInt
constitutive_titanmod_postResults(c+j) = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,myStructure))
enddo; enddo
endif
c = c + nt
case ('threshold_stress_twin')
constitutive_titanmod_postResults(c+1:c+nt) = state(g,ip,el)%p((6*ns+3*nt+1):(6*ns+4*nt))
c = c + nt
end select
enddo
return
end function
END MODULE