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DAMASK_EICMD/code/constitutive_dislotwin.f90

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updated copyright header
2013-03-22 23:05:05 +05:30
! Copyright 2011-13 Max-Planck-Institut für Eisenforschung GmbH
changed header to unicode utf-8 encoding
2011-04-13 16:54:36 +05:30
!
! This file is part of DAMASK,
! the Düsseldorf Advanced MAterial Simulation Kit.
!
! DAMASK is free software: you can redistribute it and/or modify
! it under the terms of the GNU General Public License as published by
! the Free Software Foundation, either version 3 of the License, or
! (at your option) any later version.
!
! DAMASK is distributed in the hope that it will be useful,
! but WITHOUT ANY WARRANTY; without even the implied warranty of
! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
! GNU General Public License for more details.
!
! You should have received a copy of the GNU General Public License
! along with DAMASK. If not, see <http://www.gnu.org/licenses/>.
!
added doxygen documentation and unified variable names and some common parts of the code
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!--------------------------------------------------------------------------------------------------
! $Id$
!--------------------------------------------------------------------------------------------------
!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH
!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
!> @brief material subroutine incoprorating dislocation and twinning physics
!> @details to be done
!--------------------------------------------------------------------------------------------------
module constitutive_dislotwin
use prec, only: &
pReal, &
pInt
sorry, last version did not compile. now with correct encoding.
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implicit none
private
character(len=*), parameter, public :: &
CONSTITUTIVE_DISLOTWIN_label = 'dislotwin'
integer(pInt), dimension(:), allocatable, public, protected :: &
constitutive_dislotwin_sizeDotState, & !< number of dotStates
constitutive_dislotwin_sizeState, & !< total number of microstructural state variables
constitutive_dislotwin_sizePostResults !< cumulative size of post results
sorry, last version did not compile. now with correct encoding.
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added doxygen documentation and unified variable names and some common parts of the code
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character(len=32), dimension(:), allocatable, public, protected :: &
constitutive_dislotwin_structureName !< name of the lattice structure
sorry, last version did not compile. now with correct encoding.
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integer(pInt), dimension(:,:), allocatable, target, public :: &
constitutive_dislotwin_sizePostResult !< size of each post result output
edited lines exceeding 132 chars (before any comment started)
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added doxygen documentation and unified variable names and some common parts of the code
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character(len=64), dimension(:,:), allocatable, target, public :: &
constitutive_dislotwin_output !< name of each post result output
character(len=12), dimension(3), parameter, private :: &
CONSTITUTIVE_DISLOTWIN_listBasicSlipStates = &
['rhoEdge ', 'rhoEdgeDip ', 'accshearslip']
character(len=12), dimension(2), parameter, private :: &
CONSTITUTIVE_DISLOTWIN_listBasicTwinStates = &
['twinFraction', 'accsheartwin']
character(len=17), dimension(4), parameter, private :: &
CONSTITUTIVE_DISLOTWIN_listDependentSlipStates = &
['invLambdaSlip ', 'invLambdaSlipTwin', 'meanFreePathSlip ', 'tauSlipThreshold ']
character(len=16), dimension(4), parameter, private :: &
CONSTITUTIVE_DISLOTWIN_listDependentTwinStates = &
['invLambdaTwin ', 'meanFreePathTwin', 'tauTwinThreshold', 'twinVolume ']
real(pReal), parameter, private :: &
kB = 1.38e-23_pReal !< Boltzmann constant in J/Kelvin
integer(pInt), dimension(:), allocatable, private :: &
constitutive_dislotwin_Noutput !< number of outputs per instance of this plasticity
integer(pInt), dimension(:), allocatable, private :: &
constitutive_dislotwin_structure, & !< number representing the kind of lattice structure
constitutive_dislotwin_totalNslip, & !< total number of active slip systems for each instance
constitutive_dislotwin_totalNtwin !< total number of active twin systems for each instance
integer(pInt), dimension(:,:), allocatable, private :: &
constitutive_dislotwin_Nslip, & !< number of active slip systems for each family and instance
constitutive_dislotwin_Ntwin !< number of active twin systems for each family and instance
real(pReal), dimension(:), allocatable, private :: &
constitutive_dislotwin_CoverA, & !< c/a ratio for hex type lattice
constitutive_dislotwin_Gmod, & !< shear modulus
constitutive_dislotwin_nu, & !< poisson's ratio
constitutive_dislotwin_CAtomicVolume, & !< atomic volume in Bugers vector unit
constitutive_dislotwin_D0, & !< prefactor for self-diffusion coefficient
constitutive_dislotwin_Qsd, & !< activation energy for dislocation climb
constitutive_dislotwin_GrainSize, & !< grain size
constitutive_dislotwin_p, & !< p-exponent in glide velocity
constitutive_dislotwin_q, & !< q-exponent in glide velocity
constitutive_dislotwin_MaxTwinFraction, & !< maximum allowed total twin volume fraction
constitutive_dislotwin_r, & !< r-exponent in twin nucleation rate
constitutive_dislotwin_CEdgeDipMinDistance, & !<
constitutive_dislotwin_Cmfptwin, & !<
constitutive_dislotwin_Cthresholdtwin, & !<
constitutive_dislotwin_SolidSolutionStrength, & !< Strength due to elements in solid solution
constitutive_dislotwin_L0, & !< Length of twin nuclei in Burgers vectors
constitutive_dislotwin_xc, & !< critical distance for formation of twin nucleus
constitutive_dislotwin_VcrossSlip, & !< cross slip volume
constitutive_dislotwin_sbResistance, & !< value for shearband resistance (might become an internal state variable at some point)
constitutive_dislotwin_sbVelocity, & !< value for shearband velocity_0
constitutive_dislotwin_sbQedge, & !< value for shearband systems Qedge
constitutive_dislotwin_SFE_0K, & !< stacking fault energy at zero K
constitutive_dislotwin_dSFE_dT, & !< temperature dependance of stacking fault energy
constitutive_dislotwin_aTolRho, & !< absolute tolerance for integration of dislocation density
constitutive_dislotwin_aTolTwinFrac !< absolute tolerance for integration of twin volume fraction
real(pReal), dimension(:,:,:), allocatable, private :: &
constitutive_dislotwin_Cslip_66 !< elasticity matrix in Mandel notation for each instance
real(pReal), dimension(:,:,:,:), allocatable, private :: &
constitutive_dislotwin_Ctwin_66 !< twin elasticity matrix in Mandel notation for each instance
real(pReal), dimension(:,:,:,:,:), allocatable, private :: &
constitutive_dislotwin_Cslip_3333 !< elasticity matrix for each instance
real(pReal), dimension(:,:,:,:,:,:), allocatable, private :: &
constitutive_dislotwin_Ctwin_3333 !< twin elasticity matrix for each instance
real(pReal), dimension(:,:), allocatable, private :: &
constitutive_dislotwin_rhoEdge0, & !< initial edge dislocation density per slip system for each family and instance
constitutive_dislotwin_rhoEdgeDip0, & !< initial edge dipole density per slip system for each family and instance
constitutive_dislotwin_burgersPerSlipFamily, & !< absolute length of burgers vector [m] for each slip family and instance
constitutive_dislotwin_burgersPerSlipSystem, & !< absolute length of burgers vector [m] for each slip system and instance
constitutive_dislotwin_burgersPerTwinFamily, & !< absolute length of burgers vector [m] for each twin family and instance
constitutive_dislotwin_burgersPerTwinSystem, & !< absolute length of burgers vector [m] for each twin system and instance
constitutive_dislotwin_QedgePerSlipFamily, & !< activation energy for glide [J] for each slip family and instance
constitutive_dislotwin_QedgePerSlipSystem, & !< activation energy for glide [J] for each slip system and instance
constitutive_dislotwin_v0PerSlipFamily, & !< dislocation velocity prefactor [m/s] for each family and instance
constitutive_dislotwin_v0PerSlipSystem, & !< dislocation velocity prefactor [m/s] for each slip system and instance
constitutive_dislotwin_Ndot0PerTwinFamily, & !< twin nucleation rate [1/m³s] for each twin family and instance
constitutive_dislotwin_Ndot0PerTwinSystem, & !< twin nucleation rate [1/m³s] for each twin system and instance
constitutive_dislotwin_tau_r, & !< stress to bring partial close together for each twin system and instance
constitutive_dislotwin_twinsizePerTwinFamily, & !< twin thickness [m] for each twin family and instance
constitutive_dislotwin_twinsizePerTwinSystem, & !< twin thickness [m] for each twin system and instance
constitutive_dislotwin_CLambdaSlipPerSlipFamily, & !< Adj. parameter for distance between 2 forest dislocations for each slip family and instance
constitutive_dislotwin_CLambdaSlipPerSlipSystem, & !< Adj. parameter for distance between 2 forest dislocations for each slip system and instance
constitutive_dislotwin_interaction_SlipSlip, & !< coefficients for slip-slip interaction for each interaction type and instance
constitutive_dislotwin_interaction_SlipTwin, & !< coefficients for slip-twin interaction for each interaction type and instance
constitutive_dislotwin_interaction_TwinSlip, & !< coefficients for twin-slip interaction for each interaction type and instance
constitutive_dislotwin_interaction_TwinTwin !< coefficients for twin-twin interaction for each interaction type and instance
real(pReal), dimension(:,:,:), allocatable, private :: &
constitutive_dislotwin_interactionMatrix_SlipSlip, & !< interaction matrix of the different slip systems for each instance
constitutive_dislotwin_interactionMatrix_SlipTwin, & !< interaction matrix of slip systems with twin systems for each instance
constitutive_dislotwin_interactionMatrix_TwinSlip, & !< interaction matrix of twin systems with slip systems for each instance
constitutive_dislotwin_interactionMatrix_TwinTwin, & !< interaction matrix of the different twin systems for each instance
constitutive_dislotwin_forestProjectionEdge !< matrix of forest projections of edge dislocations for each instance
real(pReal), dimension(:,:,:,:,:), allocatable, private :: &
constitutive_dislotwin_sbSv
public :: &
constitutive_dislotwin_init, &
constitutive_dislotwin_stateInit, &
constitutive_dislotwin_aTolState, &
constitutive_dislotwin_homogenizedC, &
constitutive_dislotwin_microstructure, &
constitutive_dislotwin_LpAndItsTangent, &
constitutive_dislotwin_dotState, &
constitutive_dislotwin_deltaState, &
constitutive_dislotwin_dotTemperature, &
constitutive_dislotwin_postResults
contains
sorry, last version did not compile. now with correct encoding.
2011-04-13 17:21:46 +05:30
added "public" (and where possible "protected") statements to functions/subroutines/variables/parameters where needed added -fmodule-private to compile options for gfortran, i.e. gfortran won't compile anymore if an entity is not explicitly declared as public but used in another module to ensure stronger encapsulation
2013-03-28 13:10:30 +05:30
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
sorry, last version did not compile. now with correct encoding.
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subroutine constitutive_dislotwin_init(file)
added doxygen documentation and unified variable names and some common parts of the code
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use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment)
use debug, only: &
debug_level,&
debug_constitutive,&
debug_levelBasic
use math, only: &
math_Mandel3333to66, &
math_Voigt66to3333, &
math_mul3x3
use mesh, only: &
mesh_maxNips, &
mesh_NcpElems
use IO
use material
use lattice
remove omp statements during initialization, "line" for reading in from material.config now has a default (empty) value to prevent conditional jump depend on this value
2013-01-09 03:41:59 +05:30
added doxygen documentation and unified variable names and some common parts of the code
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implicit none
integer(pInt), intent(in) :: file
integer(pInt), parameter :: maxNchunks = 21_pInt
integer(pInt), dimension(1+2*maxNchunks) :: positions
integer(pInt), dimension(7) :: configNchunks
integer(pInt) :: section = 0_pInt, maxNinstance,mySize=0_pInt,structID,maxTotalNslip,maxTotalNtwin,&
f,i,j,k,l,m,n,o,p,q,r,s,ns,nt, &
Nchunks_SlipSlip, Nchunks_SlipTwin, Nchunks_TwinSlip, Nchunks_TwinTwin, &
Nchunks_SlipFamilies, Nchunks_TwinFamilies, &
index_myFamily, index_otherFamily
character(len=65536) :: tag
character(len=65536) :: line = '' ! to start initialized
init reporting of constitutive_*.f90 had less/to much spaces, renamed label to LABEL because it is a parameter. removed debug output of geom_fromEuclideanDistance.py
2013-05-28 23:01:55 +05:30
write(6,'(/,a)') ' <<<+- constitutive_'//trim(constitutive_dislotwin_LABEL)//' init -+>>>'
write(6,'(a)') ' $Id$'
write(6,'(a15,a)') ' Current time: ',IO_timeStamp()
made code standard conform to Fortran 2008 (ignoring warning concerning comments beyond character 132). Basically, changing "x" format specifier to "Nx" ("1x") plus removing $ format specifier added compiler switches for gfortran and ifort to check for standard conformity old gnu compilers <4.4 are not longer supported because they don't provide the c binding for fftw
2012-02-01 00:48:55 +05:30
#include "compilation_info.f90"
added doxygen documentation and unified variable names and some common parts of the code
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maxNinstance = int(count(phase_plasticity == constitutive_dislotwin_label),pInt)
if (maxNinstance == 0_pInt) return
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) &
write(6,'(a16,1x,i5,/)') '# instances:',maxNinstance
Nchunks_SlipFamilies = lattice_maxNslipFamily
Nchunks_TwinFamilies = lattice_maxNtwinFamily
Nchunks_SlipSlip = lattice_maxNinteraction
Nchunks_SlipTwin = lattice_maxNinteraction
Nchunks_TwinSlip = lattice_maxNinteraction
Nchunks_TwinTwin = lattice_maxNinteraction
!* Space allocation for global variables
allocate(constitutive_dislotwin_sizeDotState(maxNinstance))
constitutive_dislotwin_sizeDotState = 0_pInt
allocate(constitutive_dislotwin_sizeState(maxNinstance))
constitutive_dislotwin_sizeState = 0_pInt
allocate(constitutive_dislotwin_sizePostResults(maxNinstance))
constitutive_dislotwin_sizePostResults = 0_pInt
allocate(constitutive_dislotwin_sizePostResult(maxval(phase_Noutput),maxNinstance))
constitutive_dislotwin_sizePostResult = 0_pInt
allocate(constitutive_dislotwin_output(maxval(phase_Noutput),maxNinstance))
constitutive_dislotwin_output = ''
allocate(constitutive_dislotwin_Noutput(maxNinstance))
constitutive_dislotwin_Noutput = 0_pInt
allocate(constitutive_dislotwin_structureName(maxNinstance))
constitutive_dislotwin_structureName = ''
allocate(constitutive_dislotwin_structure(maxNinstance))
constitutive_dislotwin_structure = 0_pInt
allocate(constitutive_dislotwin_Nslip(lattice_maxNslipFamily,maxNinstance))
constitutive_dislotwin_Nslip = 0_pInt
allocate(constitutive_dislotwin_Ntwin(lattice_maxNtwinFamily,maxNinstance))
constitutive_dislotwin_Ntwin = 0_pInt
allocate(constitutive_dislotwin_totalNslip(maxNinstance))
constitutive_dislotwin_totalNslip = 0_pInt
allocate(constitutive_dislotwin_totalNtwin(maxNinstance))
constitutive_dislotwin_totalNtwin = 0_pInt
allocate(constitutive_dislotwin_CoverA(maxNinstance))
constitutive_dislotwin_CoverA = 0.0_pReal
allocate(constitutive_dislotwin_Gmod(maxNinstance))
constitutive_dislotwin_Gmod = 0.0_pReal
allocate(constitutive_dislotwin_nu(maxNinstance))
constitutive_dislotwin_nu = 0.0_pReal
allocate(constitutive_dislotwin_CAtomicVolume(maxNinstance))
constitutive_dislotwin_CAtomicVolume = 0.0_pReal
allocate(constitutive_dislotwin_D0(maxNinstance))
constitutive_dislotwin_D0 = 0.0_pReal
allocate(constitutive_dislotwin_Qsd(maxNinstance))
constitutive_dislotwin_Qsd = 0.0_pReal
allocate(constitutive_dislotwin_GrainSize(maxNinstance))
constitutive_dislotwin_GrainSize = 0.0_pReal
allocate(constitutive_dislotwin_p(maxNinstance))
constitutive_dislotwin_p = 0.0_pReal
allocate(constitutive_dislotwin_q(maxNinstance))
constitutive_dislotwin_q = 0.0_pReal
allocate(constitutive_dislotwin_MaxTwinFraction(maxNinstance))
constitutive_dislotwin_MaxTwinFraction = 0.0_pReal
allocate(constitutive_dislotwin_r(maxNinstance))
constitutive_dislotwin_r = 0.0_pReal
allocate(constitutive_dislotwin_CEdgeDipMinDistance(maxNinstance))
constitutive_dislotwin_CEdgeDipMinDistance = 0.0_pReal
allocate(constitutive_dislotwin_Cmfptwin(maxNinstance))
constitutive_dislotwin_Cmfptwin = 0.0_pReal
allocate(constitutive_dislotwin_Cthresholdtwin(maxNinstance))
constitutive_dislotwin_Cthresholdtwin = 0.0_pReal
allocate(constitutive_dislotwin_SolidSolutionStrength(maxNinstance))
constitutive_dislotwin_SolidSolutionStrength = 0.0_pReal
allocate(constitutive_dislotwin_L0(maxNinstance))
constitutive_dislotwin_L0 = 0.0_pReal
allocate(constitutive_dislotwin_xc(maxNinstance))
constitutive_dislotwin_xc = 0.0_pReal
allocate(constitutive_dislotwin_VcrossSlip(maxNinstance))
constitutive_dislotwin_VcrossSlip = 0.0_pReal
allocate(constitutive_dislotwin_aTolRho(maxNinstance))
constitutive_dislotwin_aTolRho = 0.0_pReal
allocate(constitutive_dislotwin_aTolTwinFrac(maxNinstance))
constitutive_dislotwin_aTolTwinFrac = 0.0_pReal
allocate(constitutive_dislotwin_Cslip_66(6,6,maxNinstance))
constitutive_dislotwin_Cslip_66 = 0.0_pReal
allocate(constitutive_dislotwin_Cslip_3333(3,3,3,3,maxNinstance))
constitutive_dislotwin_Cslip_3333 = 0.0_pReal
allocate(constitutive_dislotwin_sbResistance(maxNinstance))
constitutive_dislotwin_sbResistance = 0.0_pReal
allocate(constitutive_dislotwin_sbVelocity(maxNinstance))
constitutive_dislotwin_sbVelocity = 0.0_pReal
allocate(constitutive_dislotwin_sbQedge(maxNinstance))
constitutive_dislotwin_sbQedge = 0.0_pReal
allocate(constitutive_dislotwin_SFE_0K(maxNinstance))
constitutive_dislotwin_SFE_0K = 0.0_pReal
allocate(constitutive_dislotwin_dSFE_dT(maxNinstance))
constitutive_dislotwin_dSFE_dT = 0.0_pReal
allocate(constitutive_dislotwin_rhoEdge0(lattice_maxNslipFamily,maxNinstance))
constitutive_dislotwin_rhoEdge0 = 0.0_pReal
allocate(constitutive_dislotwin_rhoEdgeDip0(lattice_maxNslipFamily,maxNinstance))
constitutive_dislotwin_rhoEdgeDip0 = 0.0_pReal
allocate(constitutive_dislotwin_burgersPerSlipFamily(lattice_maxNslipFamily,maxNinstance))
constitutive_dislotwin_burgersPerSlipFamily = 0.0_pReal
allocate(constitutive_dislotwin_burgersPerTwinFamily(lattice_maxNtwinFamily,maxNinstance))
constitutive_dislotwin_burgersPerTwinFamily = 0.0_pReal
allocate(constitutive_dislotwin_QedgePerSlipFamily(lattice_maxNslipFamily,maxNinstance))
constitutive_dislotwin_QedgePerSlipFamily = 0.0_pReal
allocate(constitutive_dislotwin_v0PerSlipFamily(lattice_maxNslipFamily,maxNinstance))
constitutive_dislotwin_v0PerSlipFamily = 0.0_pReal
allocate(constitutive_dislotwin_Ndot0PerTwinFamily(lattice_maxNtwinFamily,maxNinstance))
constitutive_dislotwin_Ndot0PerTwinFamily = 0.0_pReal
allocate(constitutive_dislotwin_twinsizePerTwinFamily(lattice_maxNtwinFamily,maxNinstance))
constitutive_dislotwin_twinsizePerTwinFamily = 0.0_pReal
allocate(constitutive_dislotwin_CLambdaSlipPerSlipFamily(lattice_maxNslipFamily,maxNinstance))
constitutive_dislotwin_CLambdaSlipPerSlipFamily = 0.0_pReal
allocate(constitutive_dislotwin_interaction_SlipSlip(lattice_maxNinteraction,maxNinstance))
constitutive_dislotwin_interaction_SlipSlip = 0.0_pReal
allocate(constitutive_dislotwin_interaction_SlipTwin(lattice_maxNinteraction,maxNinstance))
constitutive_dislotwin_interaction_SlipTwin = 0.0_pReal
allocate(constitutive_dislotwin_interaction_TwinSlip(lattice_maxNinteraction,maxNinstance))
constitutive_dislotwin_interaction_TwinSlip = 0.0_pReal
allocate(constitutive_dislotwin_interaction_TwinTwin(lattice_maxNinteraction,maxNinstance))
constitutive_dislotwin_interaction_TwinTwin = 0.0_pReal
allocate(constitutive_dislotwin_sbSv(6,6,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems))
constitutive_dislotwin_sbSv = 0.0_pReal
!* Readout data from material.config file
rewind(file)
removed long lines
2013-08-09 01:03:21 +05:30
do while (trim(line) /= '#EOF#' .and. IO_lc(IO_getTag(line,'<','>')) /= 'phase') ! wind forward to <phase>
added possibility for multi-level inclusion of files in *.config and loadcase files. include subfiles by stating {path/to/include}
2013-06-27 00:49:00 +05:30
line = IO_read(file)
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
enddo
removed long lines
2013-08-09 01:03:21 +05:30
do while (trim(line) /= '#EOF#') ! read thru sections of phase part
added possibility for multi-level inclusion of files in *.config and loadcase files. include subfiles by stating {path/to/include}
2013-06-27 00:49:00 +05:30
line = IO_read(file)
removed parameter check complaining about unknown keyword as default case. there are just too many keywords that do not trigger a variable assignment to cope with them (e.g. /nonlocal/, constitution, etc.) I suggest to kill similar logic from other files if present somewhere...
2012-02-14 05:00:59 +05:30
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_pInt ! advance section counter
cycle
sorry, last version did not compile. now with correct encoding.
2011-04-13 17:21:46 +05:30
endif
fixed bug in initialization when reading in material.config. Fortran does not short-circuit, e.g. (if a>0 .and. b(a) ==c) might cause an out-of-bounds error when a=-1 it'll try to access b(-1)!
2013-06-12 01:46:40 +05:30
if (section > 0_pInt ) then ! do not short-circuit here (.and. with next if statemen). It's not safe in Fortran
if (phase_plasticity(section) == constitutive_dislotwin_LABEL) then ! one of my sections
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
i = phase_plasticityInstance(section) ! which instance of my plasticity is present phase
positions = IO_stringPos(line,maxNchunks)
tag = IO_lc(IO_stringValue(line,positions,1_pInt)) ! extract key
select case(tag)
case ('plasticity', 'elasticity')
cycle
case ('(output)')
constitutive_dislotwin_Noutput(i) = constitutive_dislotwin_Noutput(i) + 1_pInt
constitutive_dislotwin_output(constitutive_dislotwin_Noutput(i),i) = IO_lc(IO_stringValue(line,positions,2_pInt))
case ('lattice_structure')
constitutive_dislotwin_structureName(i) = IO_lc(IO_stringValue(line,positions,2_pInt))
configNchunks = lattice_configNchunks(constitutive_dislotwin_structureName(i))
Nchunks_SlipFamilies = configNchunks(1)
Nchunks_TwinFamilies = configNchunks(2)
Nchunks_SlipSlip = configNchunks(3)
Nchunks_SlipTwin = configNchunks(4)
Nchunks_TwinSlip = configNchunks(5)
Nchunks_TwinTwin = configNchunks(6)
case ('covera_ratio')
constitutive_dislotwin_CoverA(i) = IO_floatValue(line,positions,2_pInt)
case ('c11')
constitutive_dislotwin_Cslip_66(1,1,i) = IO_floatValue(line,positions,2_pInt)
case ('c12')
constitutive_dislotwin_Cslip_66(1,2,i) = IO_floatValue(line,positions,2_pInt)
case ('c13')
constitutive_dislotwin_Cslip_66(1,3,i) = IO_floatValue(line,positions,2_pInt)
case ('c22')
constitutive_dislotwin_Cslip_66(2,2,i) = IO_floatValue(line,positions,2_pInt)
case ('c23')
constitutive_dislotwin_Cslip_66(2,3,i) = IO_floatValue(line,positions,2_pInt)
case ('c33')
constitutive_dislotwin_Cslip_66(3,3,i) = IO_floatValue(line,positions,2_pInt)
case ('c44')
constitutive_dislotwin_Cslip_66(4,4,i) = IO_floatValue(line,positions,2_pInt)
case ('c55')
constitutive_dislotwin_Cslip_66(5,5,i) = IO_floatValue(line,positions,2_pInt)
case ('c66')
constitutive_dislotwin_Cslip_66(6,6,i) = IO_floatValue(line,positions,2_pInt)
case ('nslip')
if (positions(1) < 1_pInt + Nchunks_SlipFamilies) then
call IO_warning(50_pInt,ext_msg=trim(tag)//' ('//CONSTITUTIVE_DISLOTWIN_LABEL//')')
endif
Nchunks_SlipFamilies = positions(1) - 1_pInt
do j = 1_pInt, Nchunks_SlipFamilies
constitutive_dislotwin_Nslip(j,i) = IO_intValue(line,positions,1_pInt+j)
enddo
case ('ntwin')
if (positions(1) < 1_pInt + Nchunks_TwinFamilies) then
call IO_warning(51_pInt,ext_msg=trim(tag)//' ('//CONSTITUTIVE_DISLOTWIN_LABEL//')')
endif
Nchunks_TwinFamilies = positions(1) - 1_pInt
do j = 1_pInt, Nchunks_TwinFamilies
constitutive_dislotwin_Ntwin(j,i) = IO_intValue(line,positions,1_pInt+j)
enddo
case ('rhoedge0')
do j = 1_pInt, Nchunks_SlipFamilies
constitutive_dislotwin_rhoEdge0(j,i) = IO_floatValue(line,positions,1_pInt+j)
enddo
case ('rhoedgedip0')
do j = 1_pInt, Nchunks_SlipFamilies
constitutive_dislotwin_rhoEdgeDip0(j,i) = IO_floatValue(line,positions,1_pInt+j)
enddo
case ('slipburgers')
do j = 1_pInt, Nchunks_SlipFamilies
constitutive_dislotwin_burgersPerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j)
enddo
case ('twinburgers')
do j = 1_pInt, Nchunks_TwinFamilies
constitutive_dislotwin_burgersPerTwinFamily(j,i) = IO_floatValue(line,positions,1_pInt+j)
enddo
case ('qedge')
do j = 1_pInt, Nchunks_SlipFamilies
constitutive_dislotwin_QedgePerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j)
enddo
case ('v0')
do j = 1_pInt, Nchunks_SlipFamilies
constitutive_dislotwin_v0PerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j)
enddo
case ('ndot0')
do j = 1_pInt, Nchunks_TwinFamilies
constitutive_dislotwin_Ndot0PerTwinFamily(j,i) = IO_floatValue(line,positions,1_pInt+j)
enddo
case ('twinsize')
do j = 1_pInt, Nchunks_TwinFamilies
constitutive_dislotwin_twinsizePerTwinFamily(j,i) = IO_floatValue(line,positions,1_pInt+j)
enddo
case ('clambdaslip')
do j = 1_pInt, Nchunks_SlipFamilies
constitutive_dislotwin_CLambdaSlipPerSlipFamily(j,i) = IO_floatValue(line,positions,1_pInt+j)
enddo
case ('grainsize')
constitutive_dislotwin_GrainSize(i) = IO_floatValue(line,positions,2_pInt)
case ('maxtwinfraction')
constitutive_dislotwin_MaxTwinFraction(i) = IO_floatValue(line,positions,2_pInt)
case ('pexponent')
constitutive_dislotwin_p(i) = IO_floatValue(line,positions,2_pInt)
case ('qexponent')
constitutive_dislotwin_q(i) = IO_floatValue(line,positions,2_pInt)
case ('rexponent')
constitutive_dislotwin_r(i) = IO_floatValue(line,positions,2_pInt)
case ('d0')
constitutive_dislotwin_D0(i) = IO_floatValue(line,positions,2_pInt)
case ('qsd')
constitutive_dislotwin_Qsd(i) = IO_floatValue(line,positions,2_pInt)
case ('atol_rho')
constitutive_dislotwin_aTolRho(i) = IO_floatValue(line,positions,2_pInt)
case ('atol_twinfrac')
constitutive_dislotwin_aTolTwinFrac(i) = IO_floatValue(line,positions,2_pInt)
case ('cmfptwin')
constitutive_dislotwin_Cmfptwin(i) = IO_floatValue(line,positions,2_pInt)
case ('cthresholdtwin')
constitutive_dislotwin_Cthresholdtwin(i) = IO_floatValue(line,positions,2_pInt)
case ('solidsolutionstrength')
constitutive_dislotwin_SolidSolutionStrength(i) = IO_floatValue(line,positions,2_pInt)
case ('l0')
constitutive_dislotwin_L0(i) = IO_floatValue(line,positions,2_pInt)
case ('xc')
constitutive_dislotwin_xc(i) = IO_floatValue(line,positions,2_pInt)
case ('vcrossslip')
constitutive_dislotwin_VcrossSlip(i) = IO_floatValue(line,positions,2_pInt)
case ('cedgedipmindistance')
constitutive_dislotwin_CEdgeDipMinDistance(i) = IO_floatValue(line,positions,2_pInt)
case ('catomicvolume')
constitutive_dislotwin_CAtomicVolume(i) = IO_floatValue(line,positions,2_pInt)
case ('interaction_slipslip','interactionslipslip')
if (positions(1) < 1_pInt + Nchunks_SlipSlip) then
call IO_error(213_pInt,ext_msg=trim(tag)//' ('//CONSTITUTIVE_DISLOTWIN_LABEL//')')
endif
do j = 1_pInt, Nchunks_SlipSlip
constitutive_dislotwin_interaction_SlipSlip(j,i) = IO_floatValue(line,positions,1_pInt+j)
enddo
case ('interaction_sliptwin','interactionsliptwin')
if (positions(1) < 1_pInt + Nchunks_SlipTwin) then
call IO_error(213_pInt,ext_msg=trim(tag)//' ('//CONSTITUTIVE_DISLOTWIN_LABEL//')')
endif
do j = 1_pInt, Nchunks_SlipTwin
constitutive_dislotwin_interaction_SlipTwin(j,i) = IO_floatValue(line,positions,1_pInt+j)
enddo
case ('interaction_twinslip','interactiontwinslip')
if (positions(1) < 1_pInt + Nchunks_TwinSlip) then
call IO_error(213_pInt,ext_msg=trim(tag)//' ('//CONSTITUTIVE_DISLOTWIN_LABEL//')')
endif
do j = 1_pInt, Nchunks_TwinSlip
constitutive_dislotwin_interaction_TwinSlip(j,i) = IO_floatValue(line,positions,1_pInt+j)
enddo
case ('interaction_twintwin','interactiontwintwin')
if (positions(1) < 1_pInt + Nchunks_TwinTwin) then
call IO_error(213_pInt,ext_msg=trim(tag)//' ('//CONSTITUTIVE_DISLOTWIN_LABEL//')')
endif
do j = 1_pInt, Nchunks_TwinTwin
constitutive_dislotwin_interaction_TwinTwin(j,i) = IO_floatValue(line,positions,1_pInt+j)
enddo
case ('sfe_0k')
constitutive_dislotwin_SFE_0K(i) = IO_floatValue(line,positions,2_pInt)
case ('dsfe_dt')
constitutive_dislotwin_dSFE_dT(i) = IO_floatValue(line,positions,2_pInt)
case ('shearbandresistance')
constitutive_dislotwin_sbResistance(i) = IO_floatValue(line,positions,2_pInt)
case ('shearbandvelocity')
constitutive_dislotwin_sbVelocity(i) = IO_floatValue(line,positions,2_pInt)
case ('qedgepersbsystem')
constitutive_dislotwin_sbQedge(i) = IO_floatValue(line,positions,2_pInt)
case default
error msg in case of unknown keyword was not properly trimmed --> 64kB of spaces...
2013-06-27 22:11:00 +05:30
call IO_error(210_pInt,ext_msg=trim(tag)//' ('//constitutive_dislotwin_label//')')
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
end select
sorry, last version did not compile. now with correct encoding.
2011-04-13 17:21:46 +05:30
endif
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
endif
enddo
sanityChecks: do i = 1_pInt,maxNinstance
constitutive_dislotwin_structure(i) = &
lattice_initializeStructure(constitutive_dislotwin_structureName(i),constitutive_dislotwin_CoverA(i))
structID = constitutive_dislotwin_structure(i)
if (structID < 1_pInt) call IO_error(205_pInt,el=i)
if (sum(constitutive_dislotwin_Nslip(:,i)) < 0_pInt) call IO_error(211_pInt,el=i,ext_msg='Nslip (' &
//constitutive_dislotwin_label//')')
if (sum(constitutive_dislotwin_Ntwin(:,i)) < 0_pInt) call IO_error(211_pInt,el=i,ext_msg='Ntwin (' &
//constitutive_dislotwin_label//')')
do f = 1_pInt,lattice_maxNslipFamily
if (constitutive_dislotwin_Nslip(f,i) > 0_pInt) then
if (constitutive_dislotwin_rhoEdge0(f,i) < 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='rhoEdge0 (' &
//constitutive_dislotwin_label//')')
if (constitutive_dislotwin_rhoEdgeDip0(f,i) < 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='rhoEdgeDip0 (' &
//constitutive_dislotwin_label//')')
if (constitutive_dislotwin_burgersPerSlipFamily(f,i) <= 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='slipBurgers (' &
//constitutive_dislotwin_label//')')
if (constitutive_dislotwin_v0PerSlipFamily(f,i) <= 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='v0 (' &
//constitutive_dislotwin_label//')')
endif
enddo
do f = 1_pInt,lattice_maxNtwinFamily
if (constitutive_dislotwin_Ntwin(f,i) > 0_pInt) then
if (constitutive_dislotwin_burgersPerTwinFamily(f,i) <= 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='twinburgers (' &
//constitutive_dislotwin_label//')')
if (constitutive_dislotwin_Ndot0PerTwinFamily(f,i) < 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='ndot0 (' &
//constitutive_dislotwin_label//')')
endif
enddo
if (constitutive_dislotwin_CAtomicVolume(i) <= 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='cAtomicVolume (' &
//constitutive_dislotwin_label//')')
if (constitutive_dislotwin_D0(i) <= 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='D0 (' &
//constitutive_dislotwin_label//')')
if (constitutive_dislotwin_Qsd(i) <= 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='Qsd (' &
//constitutive_dislotwin_label//')')
if (constitutive_dislotwin_SFE_0K(i) == 0.0_pReal .and. &
constitutive_dislotwin_dSFE_dT(i) == 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='SFE (' &
//constitutive_dislotwin_label//')')
if (constitutive_dislotwin_aTolRho(i) <= 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='aTolRho (' &
//constitutive_dislotwin_label//')')
if (constitutive_dislotwin_aTolTwinFrac(i) <= 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='aTolTwinFrac (' &
//constitutive_dislotwin_label//')')
if (constitutive_dislotwin_sbResistance(i) < 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='sbResistance (' &
//constitutive_dislotwin_label//')')
if (constitutive_dislotwin_sbVelocity(i) < 0.0_pReal) call IO_error(211_pInt,el=i,ext_msg='sbVelocity (' &
//constitutive_dislotwin_label//')')
!* Determine total number of active slip or twin systems
constitutive_dislotwin_Nslip(:,i) = min(lattice_NslipSystem(:,structID),constitutive_dislotwin_Nslip(:,i))
constitutive_dislotwin_Ntwin(:,i) = min(lattice_NtwinSystem(:,structID),constitutive_dislotwin_Ntwin(:,i))
constitutive_dislotwin_totalNslip(i) = sum(constitutive_dislotwin_Nslip(:,i))
constitutive_dislotwin_totalNtwin(i) = sum(constitutive_dislotwin_Ntwin(:,i))
enddo sanityChecks
!--------------------------------------------------------------------------------------------------
! allocation of variables whose size depends on the total number of active slip systems
maxTotalNslip = maxval(constitutive_dislotwin_totalNslip)
maxTotalNtwin = maxval(constitutive_dislotwin_totalNtwin)
!write(6,*) 'nslip',i,constitutive_dislotwin_totalNslip(i),maxTotalNslip
!write(6,*) 'ntwin',i,constitutive_dislotwin_totalNtwin(i),maxTotalNtwin
allocate(constitutive_dislotwin_burgersPerSlipSystem(maxTotalNslip, maxNinstance))
constitutive_dislotwin_burgersPerSlipSystem = 0.0_pReal
allocate(constitutive_dislotwin_burgersPerTwinSystem(maxTotalNtwin, maxNinstance))
constitutive_dislotwin_burgersPerTwinSystem= 0.0_pReal
allocate(constitutive_dislotwin_QedgePerSlipSystem(maxTotalNslip, maxNinstance))
constitutive_dislotwin_QedgePerSlipSystem = 0.0_pReal
allocate(constitutive_dislotwin_v0PerSlipSystem(maxTotalNslip, maxNinstance))
constitutive_dislotwin_v0PerSlipSystem = 0.0_pReal
allocate(constitutive_dislotwin_Ndot0PerTwinSystem(maxTotalNtwin, maxNinstance))
constitutive_dislotwin_Ndot0PerTwinSystem = 0.0_pReal
allocate(constitutive_dislotwin_tau_r(maxTotalNtwin, maxNinstance))
constitutive_dislotwin_tau_r = 0.0_pReal
allocate(constitutive_dislotwin_twinsizePerTwinSystem(maxTotalNtwin, maxNinstance))
constitutive_dislotwin_twinsizePerTwinSystem = 0.0_pReal
allocate(constitutive_dislotwin_CLambdaSlipPerSlipSystem(maxTotalNslip, maxNinstance))
constitutive_dislotwin_CLambdaSlipPerSlipSystem = 0.0_pReal
allocate(constitutive_dislotwin_interactionMatrix_SlipSlip(maxTotalNslip,maxTotalNslip,maxNinstance))
constitutive_dislotwin_interactionMatrix_SlipSlip = 0.0_pReal
allocate(constitutive_dislotwin_interactionMatrix_SlipTwin(maxTotalNslip,maxTotalNtwin,maxNinstance))
constitutive_dislotwin_interactionMatrix_SlipTwin = 0.0_pReal
allocate(constitutive_dislotwin_interactionMatrix_TwinSlip(maxTotalNtwin,maxTotalNslip,maxNinstance))
constitutive_dislotwin_interactionMatrix_TwinSlip = 0.0_pReal
allocate(constitutive_dislotwin_interactionMatrix_TwinTwin(maxTotalNtwin,maxTotalNtwin,maxNinstance))
constitutive_dislotwin_interactionMatrix_TwinTwin = 0.0_pReal
allocate(constitutive_dislotwin_forestProjectionEdge(maxTotalNslip,maxTotalNslip,maxNinstance))
constitutive_dislotwin_forestProjectionEdge = 0.0_pReal
allocate(constitutive_dislotwin_Ctwin_66(6,6,maxTotalNtwin,maxNinstance))
constitutive_dislotwin_Ctwin_66 = 0.0_pReal
allocate(constitutive_dislotwin_Ctwin_3333(3,3,3,3,maxTotalNtwin,maxNinstance))
constitutive_dislotwin_Ctwin_3333 = 0.0_pReal
instancesLoop: do i = 1_pInt,maxNinstance
structID = constitutive_dislotwin_structure(i)
ns = constitutive_dislotwin_totalNslip(i)
nt = constitutive_dislotwin_totalNtwin(i)
! write(6,*) 'instance',i,'has nslip and ntwin',ns,nt
!* Determine size of state array
constitutive_dislotwin_sizeDotState(i) = int(size(CONSTITUTIVE_DISLOTWIN_listBasicSlipStates),pInt) * ns &
+ int(size(CONSTITUTIVE_DISLOTWIN_listBasicTwinStates),pInt) * nt
constitutive_dislotwin_sizeState(i) = constitutive_dislotwin_sizeDotState(i) &
+ int(size(CONSTITUTIVE_DISLOTWIN_listDependentSlipStates),pInt) * ns &
+ int(size(CONSTITUTIVE_DISLOTWIN_listDependentTwinStates),pInt) * nt
!* Determine size of postResults array
outputsLoop: do o = 1_pInt,constitutive_dislotwin_Noutput(i)
select case(constitutive_dislotwin_output(o,i))
case('edge_density', &
'dipole_density', &
'shear_rate_slip', &
'accumulated_shear_slip', &
'mfp_slip', &
'resolved_stress_slip', &
'threshold_stress_slip', &
'edge_dipole_distance', &
'stress_exponent' &
)
mySize = ns
case('twin_fraction', &
'shear_rate_twin', &
'accumulated_shear_twin', &
'mfp_twin', &
'resolved_stress_twin', &
'threshold_stress_twin' &
)
mySize = nt
case('resolved_stress_shearband', &
'shear_rate_shearband' &
)
mySize = 6_pInt
case('sb_eigenvalues')
mySize = 3_pInt
case('sb_eigenvectors')
mySize = 9_pInt
case default
call IO_error(212_pInt,ext_msg=constitutive_dislotwin_output(o,i)//' ('//constitutive_dislotwin_label//')')
end select
if (mySize > 0_pInt) then ! any meaningful output found
constitutive_dislotwin_sizePostResult(o,i) = mySize
constitutive_dislotwin_sizePostResults(i) = constitutive_dislotwin_sizePostResults(i) + mySize
endif
enddo outputsLoop
!* Elasticity matrix and shear modulus according to material.config
constitutive_dislotwin_Cslip_66(1:6,1:6,i) = lattice_symmetrizeC66(constitutive_dislotwin_structureName(i),&
constitutive_dislotwin_Cslip_66(:,:,i))
constitutive_dislotwin_Gmod(i) = &
0.2_pReal*(constitutive_dislotwin_Cslip_66(1,1,i)-constitutive_dislotwin_Cslip_66(1,2,i)) &
+0.6_pReal*constitutive_dislotwin_Cslip_66(4,4,i) ! (C11iso-C12iso)/2 with C11iso=(3*C11+2*C12+4*C44)/5 and C12iso=(C11+4*C12-2*C44)/5
constitutive_dislotwin_nu(i) = ( constitutive_dislotwin_Cslip_66(1,1,i) + 4.0_pReal*constitutive_dislotwin_Cslip_66(1,2,i) &
- 2.0_pReal*constitutive_dislotwin_Cslip_66(1,2,i) ) &
/ ( 4.0_pReal*constitutive_dislotwin_Cslip_66(1,1,i) + 6.0_pReal*constitutive_dislotwin_Cslip_66(1,2,i) &
+ 2.0_pReal*constitutive_dislotwin_Cslip_66(4,4,i) )
constitutive_dislotwin_Cslip_66(1:6,1:6,i) = &
math_Mandel3333to66(math_Voigt66to3333(constitutive_dislotwin_Cslip_66(1:6,1:6,i)))
constitutive_dislotwin_Cslip_3333(1:3,1:3,1:3,1:3,i) = &
math_Voigt66to3333(constitutive_dislotwin_Cslip_66(1:6,1:6,i))
!* Process slip related parameters ------------------------------------------------
do f = 1_pInt,lattice_maxNslipFamily
index_myFamily = sum(constitutive_dislotwin_Nslip(1:f-1_pInt,i)) ! index in truncated slip system list
do j = 1_pInt,constitutive_dislotwin_Nslip(f,i) ! system in family
!* Burgers vector,
! dislocation velocity prefactor,
! mean free path prefactor,
! and minimum dipole distance
constitutive_dislotwin_burgersPerSlipSystem(index_myFamily+j,i) = constitutive_dislotwin_burgersPerSlipFamily(f,i)
constitutive_dislotwin_QedgePerSlipSystem(index_myFamily+j,i) = constitutive_dislotwin_QedgePerSlipFamily(f,i)
constitutive_dislotwin_v0PerSlipSystem(index_myFamily+j,i) = constitutive_dislotwin_v0PerSlipFamily(f,i)
constitutive_dislotwin_CLambdaSlipPerSlipSystem(index_myFamily+j,i) = constitutive_dislotwin_CLambdaSlipPerSlipFamily(f,i)
!* Calculation of forest projections for edge dislocations
!* Interaction matrices
do o = 1_pInt,lattice_maxNslipFamily
index_otherFamily = sum(constitutive_dislotwin_Nslip(1:o-1_pInt,i))
do k = 1_pInt,constitutive_dislotwin_Nslip(o,i) ! loop over (active) systems in other family (slip)
constitutive_dislotwin_forestProjectionEdge(index_myFamily+j,index_otherFamily+k,i) = &
abs(math_mul3x3(lattice_sn(:,sum(lattice_NslipSystem(1:f-1,structID))+j,structID), &
lattice_st(:,sum(lattice_NslipSystem(1:o-1,structID))+k,structID)))
constitutive_dislotwin_interactionMatrix_SlipSlip(index_myFamily+j,index_otherFamily+k,i) = &
constitutive_dislotwin_interaction_SlipSlip(lattice_interactionSlipSlip( &
sum(lattice_NslipSystem(1:f-1,structID))+j, &
sum(lattice_NslipSystem(1:o-1,structID))+k, &
structID), i )
enddo; enddo
do o = 1_pInt,lattice_maxNtwinFamily
index_otherFamily = sum(constitutive_dislotwin_Ntwin(1:o-1_pInt,i))
do k = 1_pInt,constitutive_dislotwin_Ntwin(o,i) ! loop over (active) systems in other family (twin)
constitutive_dislotwin_interactionMatrix_SlipTwin(index_myFamily+j,index_otherFamily+k,i) = &
constitutive_dislotwin_interaction_SlipTwin(lattice_interactionSlipTwin( &
sum(lattice_NslipSystem(1:f-1_pInt,structID))+j, &
sum(lattice_NtwinSystem(1:o-1_pInt,structID))+k, &
structID), i )
enddo; enddo
enddo ! slip system in family
enddo ! slip families
!* Process twin related parameters ------------------------------------------------
fixed bug caused by the inconsistent sequence of slip and twin systems
2012-06-19 21:36:25 +05:30
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
do f = 1_pInt,lattice_maxNtwinFamily
index_myFamily = sum(constitutive_dislotwin_Ntwin(1:f-1_pInt,i)) ! index in truncated twin system list
do j = 1_pInt,constitutive_dislotwin_Ntwin(f,i) ! system in family
!* Burgers vector,
! nucleation rate prefactor,
! and twin size
constitutive_dislotwin_burgersPerTwinSystem(index_myFamily+j,i) = constitutive_dislotwin_burgersPerTwinFamily(f,i)
constitutive_dislotwin_Ndot0PerTwinSystem(index_myFamily+j,i) = constitutive_dislotwin_Ndot0PerTwinFamily(f,i)
constitutive_dislotwin_twinsizePerTwinSystem(index_myFamily+j,i) = constitutive_dislotwin_twinsizePerTwinFamily(f,i)
!* Rotate twin elasticity matrices
index_otherFamily = sum(lattice_NtwinSystem(1:f-1_pInt,structID)) ! index in full lattice twin list
do l = 1_pInt,3_pInt ; do m = 1_pInt,3_pInt ; do n = 1_pInt,3_pInt ; do o = 1_pInt,3_pInt
do p = 1_pInt,3_pInt ; do q = 1_pInt,3_pInt ; do r = 1_pInt,3_pInt ; do s = 1_pInt,3_pInt
constitutive_dislotwin_Ctwin_3333(l,m,n,o,index_myFamily+j,i) = &
constitutive_dislotwin_Ctwin_3333(l,m,n,o,index_myFamily+j,i) + &
constitutive_dislotwin_Cslip_3333(p,q,r,s,i) * &
lattice_Qtwin(l,p,index_otherFamily+j,structID) * &
lattice_Qtwin(m,q,index_otherFamily+j,structID) * &
lattice_Qtwin(n,r,index_otherFamily+j,structID) * &
lattice_Qtwin(o,s,index_otherFamily+j,structID)
enddo ; enddo ; enddo ; enddo
enddo ; enddo ; enddo ; enddo
constitutive_dislotwin_Ctwin_66(1:6,1:6,index_myFamily+j,i) = &
math_Mandel3333to66(constitutive_dislotwin_Ctwin_3333(1:3,1:3,1:3,1:3,index_myFamily+j,i))
switched matrix indices in SlipSlip, SlipTwin, TwinSlip, and TwinTwin such that first index refers to first name and second to second... (used to be transposed for memory efficiency)
2012-11-14 15:52:34 +05:30
!* Interaction matrices
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
do o = 1_pInt,lattice_maxNslipFamily
index_otherFamily = sum(constitutive_dislotwin_Nslip(1:o-1_pInt,i))
do k = 1_pInt,constitutive_dislotwin_Nslip(o,i) ! loop over (active) systems in other family (slip)
constitutive_dislotwin_interactionMatrix_TwinSlip(index_myFamily+j,index_otherFamily+k,i) = &
constitutive_dislotwin_interaction_TwinSlip(lattice_interactionTwinSlip( &
sum(lattice_NtwinSystem(1:f-1_pInt,structID))+j, &
sum(lattice_NslipSystem(1:o-1_pInt,structID))+k, &
structID), i )
enddo; enddo
do o = 1_pInt,lattice_maxNtwinFamily
index_otherFamily = sum(constitutive_dislotwin_Ntwin(1:o-1_pInt,i))
do k = 1_pInt,constitutive_dislotwin_Ntwin(o,i) ! loop over (active) systems in other family (twin)
constitutive_dislotwin_interactionMatrix_TwinTwin(index_myFamily+j,index_otherFamily+k,i) = &
constitutive_dislotwin_interaction_TwinTwin(lattice_interactionTwinTwin( &
sum(lattice_NtwinSystem(1:f-1_pInt,structID))+j, &
sum(lattice_NtwinSystem(1:o-1_pInt,structID))+k, &
structID), i )
enddo; enddo
enddo ! twin system in family
enddo ! twin families
enddo instancesLoop
replaced missued family index by system index
2013-02-06 14:15:08 +05:30
end subroutine constitutive_dislotwin_init
sorry, last version did not compile. now with correct encoding.
2011-04-13 17:21:46 +05:30
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
!--------------------------------------------------------------------------------------------------
!> @brief sets the initial microstructural state for a given instance of this plasticity
!--------------------------------------------------------------------------------------------------
function constitutive_dislotwin_stateInit(matID)
use math, only: &
pi
use lattice, only: &
lattice_maxNslipFamily
implicit none
integer(pInt), intent(in) :: matID !< number specifying the instance of the plasticity
real(pReal), dimension(constitutive_dislotwin_sizeState(matID)) :: &
constitutive_dislotwin_stateInit
integer(pInt) :: i,j,f,ns,nt, index_myFamily
real(pReal), dimension(constitutive_dislotwin_totalNslip(matID)) :: &
rhoEdge0, &
rhoEdgeDip0, &
invLambdaSlip0, &
MeanFreePathSlip0, &
tauSlipThreshold0
real(pReal), dimension(constitutive_dislotwin_totalNtwin(matID)) :: &
MeanFreePathTwin0,TwinVolume0
ns = constitutive_dislotwin_totalNslip(matID)
nt = constitutive_dislotwin_totalNtwin(matID)
constitutive_dislotwin_stateInit = 0.0_pReal
!* Initialize basic slip state variables
do f = 1_pInt,lattice_maxNslipFamily
index_myFamily = sum(constitutive_dislotwin_Nslip(1:f-1_pInt,matID)) ! index in truncated slip system list
rhoEdge0(index_myFamily+1_pInt: &
index_myFamily+constitutive_dislotwin_Nslip(f,matID)) = &
constitutive_dislotwin_rhoEdge0(f,matID)
rhoEdgeDip0(index_myFamily+1_pInt: &
index_myFamily+constitutive_dislotwin_Nslip(f,matID)) = &
constitutive_dislotwin_rhoEdgeDip0(f,matID)
enddo
constitutive_dislotwin_stateInit(1_pInt:ns) = rhoEdge0
constitutive_dislotwin_stateInit(ns+1_pInt:2_pInt*ns) = rhoEdgeDip0
!* Initialize dependent slip microstructural variables
forall (i = 1_pInt:ns) &
invLambdaSlip0(i) = sqrt(dot_product((rhoEdge0+rhoEdgeDip0),constitutive_dislotwin_forestProjectionEdge(1:ns,i,matID)))/ &
constitutive_dislotwin_CLambdaSlipPerSlipSystem(i,matID)
constitutive_dislotwin_stateInit(3_pInt*ns+2_pInt*nt+1:4_pInt*ns+2_pInt*nt) = invLambdaSlip0
forall (i = 1_pInt:ns) &
MeanFreePathSlip0(i) = &
constitutive_dislotwin_GrainSize(matID)/(1.0_pReal+invLambdaSlip0(i)*constitutive_dislotwin_GrainSize(matID))
constitutive_dislotwin_stateInit(5_pInt*ns+3_pInt*nt+1:6_pInt*ns+3_pInt*nt) = MeanFreePathSlip0
forall (i = 1_pInt:ns) &
tauSlipThreshold0(i) = constitutive_dislotwin_SolidSolutionStrength(matID) + &
constitutive_dislotwin_Gmod(matID)*constitutive_dislotwin_burgersPerSlipSystem(i,matID) * &
sqrt(dot_product((rhoEdge0+rhoEdgeDip0),constitutive_dislotwin_interactionMatrix_SlipSlip(i,1:ns,matID)))
constitutive_dislotwin_stateInit(6_pInt*ns+4_pInt*nt+1:7_pInt*ns+4_pInt*nt) = tauSlipThreshold0
!* Initialize dependent twin microstructural variables
forall (j = 1_pInt:nt) &
MeanFreePathTwin0(j) = constitutive_dislotwin_GrainSize(matID)
constitutive_dislotwin_stateInit(6_pInt*ns+3_pInt*nt+1_pInt:6_pInt*ns+4_pInt*nt) = MeanFreePathTwin0
forall (j = 1_pInt:nt) &
TwinVolume0(j) = &
(pi/4.0_pReal)*constitutive_dislotwin_twinsizePerTwinSystem(j,matID)*MeanFreePathTwin0(j)**(2.0_pReal)
constitutive_dislotwin_stateInit(7_pInt*ns+5_pInt*nt+1_pInt:7_pInt*ns+6_pInt*nt) = TwinVolume0
!write(6,*) '#STATEINIT#'
!write(6,*)
!write(6,'(a,/,4(3(f30.20,1x)/))') 'RhoEdge',rhoEdge0
!write(6,'(a,/,4(3(f30.20,1x)/))') 'RhoEdgedip',rhoEdgeDip0
!write(6,'(a,/,4(3(f30.20,1x)/))') 'invLambdaSlip',invLambdaSlip0
!write(6,'(a,/,4(3(f30.20,1x)/))') 'MeanFreePathSlip',MeanFreePathSlip0
!write(6,'(a,/,4(3(f30.20,1x)/))') 'tauSlipThreshold', tauSlipThreshold0
!write(6,'(a,/,4(3(f30.20,1x)/))') 'MeanFreePathTwin', MeanFreePathTwin0
!write(6,'(a,/,4(3(f30.20,1x)/))') 'TwinVolume', TwinVolume0
end function constitutive_dislotwin_stateInit
sorry, last version did not compile. now with correct encoding.
2011-04-13 17:21:46 +05:30
introduced atol_twinfrac for dislotwin set values in material.config example atol_rho 1.0, atol_twinFrac 1.0e-7
2013-02-14 15:27:26 +05:30
!--------------------------------------------------------------------------------------------------
added doxygen documentation and unified variable names and some common parts of the code
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!> @brief sets the relevant state values for a given instance of this plasticity
introduced atol_twinfrac for dislotwin set values in material.config example atol_rho 1.0, atol_twinFrac 1.0e-7
2013-02-14 15:27:26 +05:30
!--------------------------------------------------------------------------------------------------
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
pure function constitutive_dislotwin_aTolState(matID)
introduced atol_twinfrac for dislotwin set values in material.config example atol_rho 1.0, atol_twinFrac 1.0e-7
2013-02-14 15:27:26 +05:30
implicit none
added doxygen documentation and unified variable names and some common parts of the code
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integer(pInt), intent(in) :: &
matID ! number specifying the current instance of the plasticity
real(pReal), dimension(constitutive_dislotwin_sizeState(matID)) :: &
constitutive_dislotwin_aTolState ! relevant state values for the current instance of this plasticity
sorry, last version did not compile. now with correct encoding.
2011-04-13 17:21:46 +05:30
Adding accumulated shear due to "slip" and "twin" as two outputs
2013-05-20 02:02:06 +05:30
! Tolerance state for dislocation densities
added doxygen documentation and unified variable names and some common parts of the code
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constitutive_dislotwin_aTolState(1_pInt:2_pInt*constitutive_dislotwin_totalNslip(matID)) = &
constitutive_dislotwin_aTolRho(matID)
implementation of twin nucleation criteria according to Davids PhD thesis applies for fcc crystal structure only
2013-07-01 18:36:01 +05:30
Adding accumulated shear due to "slip" and "twin" as two outputs
2013-05-20 02:02:06 +05:30
! Tolerance state for accumulated shear due to slip
added doxygen documentation and unified variable names and some common parts of the code
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constitutive_dislotwin_aTolState(2_pInt*constitutive_dislotwin_totalNslip(matID)+1_pInt: &
3_pInt*constitutive_dislotwin_totalNslip(matID))=1e6_pReal
Adding accumulated shear due to "slip" and "twin" as two outputs
2013-05-20 02:02:06 +05:30
! Tolerance state for twin volume fraction
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
constitutive_dislotwin_aTolState(3_pInt*constitutive_dislotwin_totalNslip(matID)+1_pInt: &
3_pInt*constitutive_dislotwin_totalNslip(matID)+&
constitutive_dislotwin_totalNtwin(matID)) = &
constitutive_dislotwin_aTolTwinFrac(matID)
sorry, last version did not compile. now with correct encoding.
2011-04-13 17:21:46 +05:30
Adding accumulated shear due to "slip" and "twin" as two outputs
2013-05-20 02:02:06 +05:30
! Tolerance state for accumulated shear due to twin
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
constitutive_dislotwin_aTolState(3_pInt*constitutive_dislotwin_totalNslip(matID)+ &
constitutive_dislotwin_totalNtwin(matID)+1_pInt: &
3_pInt*constitutive_dislotwin_totalNslip(matID)+ &
2_pInt*constitutive_dislotwin_totalNtwin(matID)) = 1e6_pReal
Adding accumulated shear due to "slip" and "twin" as two outputs
2013-05-20 02:02:06 +05:30
corrected some bugs in the last commits
2012-11-14 20:03:41 +05:30
end function constitutive_dislotwin_aTolState
sorry, last version did not compile. now with correct encoding.
2011-04-13 17:21:46 +05:30
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
!--------------------------------------------------------------------------------------------------
!> @brief returns the homogenized elasticity matrix
!--------------------------------------------------------------------------------------------------
pure function constitutive_dislotwin_homogenizedC(state,ipc,ip,el)
use prec, only: &
p_vec
use mesh, only: &
mesh_NcpElems, &
mesh_maxNips
use material, only: &
homogenization_maxNgrains, &
material_phase, &
phase_plasticityInstance
implicit none
real(pReal), dimension(6,6) :: &
constitutive_dislotwin_homogenizedC
integer(pInt), intent(in) :: &
ipc, & !< component-ID of integration point
ip, & !< integration point
el !< element
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
state !< microstructure state
integer(pInt) :: matID,ns,nt,i
real(pReal) :: sumf
!* Shortened notation
matID = phase_plasticityInstance(material_phase(ipc,ip,el))
ns = constitutive_dislotwin_totalNslip(matID)
nt = constitutive_dislotwin_totalNtwin(matID)
!* Total twin volume fraction
sumf = sum(state(ipc,ip,el)%p((3_pInt*ns+1_pInt):(3_pInt*ns+nt))) ! safe for nt == 0
!* Homogenized elasticity matrix
constitutive_dislotwin_homogenizedC = (1.0_pReal-sumf)*constitutive_dislotwin_Cslip_66(:,:,matID)
do i=1_pInt,nt
constitutive_dislotwin_homogenizedC = &
constitutive_dislotwin_homogenizedC + state(ipc,ip,el)%p(3_pInt*ns+i)*constitutive_dislotwin_Ctwin_66(:,:,i,matID)
enddo
end function constitutive_dislotwin_homogenizedC
!--------------------------------------------------------------------------------------------------
!> @brief calculates derived quantities from state
!--------------------------------------------------------------------------------------------------
subroutine constitutive_dislotwin_microstructure(Temperature,state,ipc,ip,el)
use prec, only: &
p_vec
use math, only: &
pi
use mesh, only: &
mesh_NcpElems, &
mesh_maxNips
use material, only: &
homogenization_maxNgrains, &
material_phase, &
phase_plasticityInstance
sorry, last version did not compile. now with correct encoding.
2011-04-13 17:21:46 +05:30
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
implicit none
integer(pInt), intent(in) :: &
ipc, & !< component-ID of integration point
ip, & !< integration point
el !< element
real(pReal), intent(in) :: &
temperature !< temperature at IP
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(inout) :: &
state !< microstructure state
integer(pInt) :: &
matID,structID,&
ns,nt,s,t
real(pReal) :: &
sumf,sfe,x0
real(pReal), dimension(constitutive_dislotwin_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: fOverStacksize
!* Shortened notation
matID = phase_plasticityInstance(material_phase(ipc,ip,el))
structID = constitutive_dislotwin_structure(matID)
ns = constitutive_dislotwin_totalNslip(matID)
nt = constitutive_dislotwin_totalNtwin(matID)
!* State: 1 : ns rho_edge
!* State: ns+1 : 2*ns rho_dipole
!* State: 2*ns+1 : 3*ns accumulated shear due to slip
!* State: 3*ns+1 : 3*ns+nt f
!* State: 3*ns+nt+1 : 3*ns+2*nt accumulated shear due to twin
!* State: 3*ns+2*nt+1 : 4*ns+2*nt 1/lambda_slip
!* State: 4*ns+2*nt+1 : 5*ns+2*nt 1/lambda_sliptwin
!* State: 5*ns+2*nt+1 : 5*ns+3*nt 1/lambda_twin
!* State: 5*ns+3*nt+1 : 6*ns+3*nt mfp_slip
!* State: 6*ns+3*nt+1 : 6*ns+4*nt mfp_twin
!* State: 6*ns+4*nt+1 : 7*ns+4*nt threshold_stress_slip
!* State: 7*ns+4*nt+1 : 7*ns+5*nt threshold_stress_twin
!* State: 7*ns+5*nt+1 : 7*ns+6*nt twin volume
!* Total twin volume fraction
sumf = sum(state(ipc,ip,el)%p((3*ns+1):(3*ns+nt))) ! safe for nt == 0
!* Stacking fault energy
sfe = constitutive_dislotwin_SFE_0K(matID) + &
constitutive_dislotwin_dSFE_dT(matID) * Temperature
!* rescaled twin volume fraction for topology
forall (t = 1_pInt:nt) &
fOverStacksize(t) = &
state(ipc,ip,el)%p(3_pInt*ns+t)/constitutive_dislotwin_twinsizePerTwinSystem(t,matID)
!* 1/mean free distance between 2 forest dislocations seen by a moving dislocation
forall (s = 1_pInt:ns) &
state(ipc,ip,el)%p(3_pInt*ns+2_pInt*nt+s) = &
sqrt(dot_product((state(ipc,ip,el)%p(1:ns)+state(ipc,ip,el)%p(ns+1_pInt:2_pInt*ns)),&
constitutive_dislotwin_forestProjectionEdge(1:ns,s,matID)))/ &
constitutive_dislotwin_CLambdaSlipPerSlipSystem(s,matID)
!* 1/mean free distance between 2 twin stacks from different systems seen by a moving dislocation
!$OMP CRITICAL (evilmatmul)
state(ipc,ip,el)%p((4_pInt*ns+2_pInt*nt+1_pInt):(5_pInt*ns+2_pInt*nt)) = 0.0_pReal
if (nt > 0_pInt .and. ns > 0_pInt) &
state(ipc,ip,el)%p((4_pInt*ns+2_pInt*nt+1):(5_pInt*ns+2_pInt*nt)) = &
matmul(constitutive_dislotwin_interactionMatrix_SlipTwin(1:ns,1:nt,matID),fOverStacksize(1:nt))/(1.0_pReal-sumf)
!$OMP END CRITICAL (evilmatmul)
!* 1/mean free distance between 2 twin stacks from different systems seen by a growing twin
!$OMP CRITICAL (evilmatmul)
if (nt > 0_pInt) &
state(ipc,ip,el)%p((5_pInt*ns+2_pInt*nt+1_pInt):(5_pInt*ns+3_pInt*nt)) = &
matmul(constitutive_dislotwin_interactionMatrix_TwinTwin(1:nt,1:nt,matID),fOverStacksize(1:nt))/(1.0_pReal-sumf)
!$OMP END CRITICAL (evilmatmul)
!* mean free path between 2 obstacles seen by a moving dislocation
do s = 1_pInt,ns
if (nt > 0_pInt) then
state(ipc,ip,el)%p(5_pInt*ns+3_pInt*nt+s) = &
constitutive_dislotwin_GrainSize(matID)/(1.0_pReal+constitutive_dislotwin_GrainSize(matID)*&
(state(ipc,ip,el)%p(3_pInt*ns+2_pInt*nt+s)+state(ipc,ip,el)%p(4_pInt*ns+2_pInt*nt+s)))
else
state(ipc,ip,el)%p(5_pInt*ns+s) = &
constitutive_dislotwin_GrainSize(matID)/&
(1.0_pReal+constitutive_dislotwin_GrainSize(matID)*(state(ipc,ip,el)%p(3_pInt*ns+s)))
endif
enddo
!* mean free path between 2 obstacles seen by a growing twin
forall (t = 1_pInt:nt) &
state(ipc,ip,el)%p(6_pInt*ns+3_pInt*nt+t) = &
(constitutive_dislotwin_Cmfptwin(matID)*constitutive_dislotwin_GrainSize(matID))/&
(1.0_pReal+constitutive_dislotwin_GrainSize(matID)*state(ipc,ip,el)%p(5_pInt*ns+2_pInt*nt+t))
!* threshold stress for dislocation motion
forall (s = 1_pInt:ns) &
state(ipc,ip,el)%p(6_pInt*ns+4_pInt*nt+s) = constitutive_dislotwin_SolidSolutionStrength(matID)+ &
constitutive_dislotwin_Gmod(matID)*constitutive_dislotwin_burgersPerSlipSystem(s,matID)*&
sqrt(dot_product((state(ipc,ip,el)%p(1:ns)+state(ipc,ip,el)%p(ns+1_pInt:2_pInt*ns)),&
constitutive_dislotwin_interactionMatrix_SlipSlip(s,1:ns,matID)))
!* threshold stress for growing twin
forall (t = 1_pInt:nt) &
state(ipc,ip,el)%p(7_pInt*ns+4_pInt*nt+t) = &
constitutive_dislotwin_Cthresholdtwin(matID)*&
(sfe/(3.0_pReal*constitutive_dislotwin_burgersPerTwinSystem(t,matID))+&
3.0_pReal*constitutive_dislotwin_burgersPerTwinSystem(t,matID)*constitutive_dislotwin_Gmod(matID)/&
(constitutive_dislotwin_L0(matID)*constitutive_dislotwin_burgersPerSlipSystem(t,matID)))
!* final twin volume after growth
forall (t = 1_pInt:nt) &
state(ipc,ip,el)%p(7_pInt*ns+5_pInt*nt+t) = &
(pi/4.0_pReal)*constitutive_dislotwin_twinsizePerTwinSystem(t,matID)*state(ipc,ip,el)%p(6*ns+3*nt+t)**(2.0_pReal)
!* equilibrium seperation of partial dislocations
do t = 1_pInt,nt
x0 = constitutive_dislotwin_Gmod(matID)*constitutive_dislotwin_burgersPerTwinSystem(t,matID)**(2.0_pReal)/&
(sfe*8.0_pReal*pi)*(2.0_pReal+constitutive_dislotwin_nu(matID))/(1.0_pReal-constitutive_dislotwin_nu(matID))
constitutive_dislotwin_tau_r(t,matID)= &
constitutive_dislotwin_Gmod(matID)*constitutive_dislotwin_burgersPerTwinSystem(t,matID)/(2.0_pReal*pi)*&
(1/(x0+constitutive_dislotwin_xc(matID))+cos(pi/3.0_pReal)/x0)
enddo
!if ((ip==1).and.(el==1)) then
! write(6,*) '#MICROSTRUCTURE#'
! write(6,*)
! write(6,'(a,/,4(3(f10.4,1x)/))') 'rhoEdge',state(ipc,ip,el)%p(1:ns)/1e9
! write(6,'(a,/,4(3(f10.4,1x)/))') 'rhoEdgeDip',state(ipc,ip,el)%p(ns+1:2*ns)/1e9
! write(6,'(a,/,4(3(f10.4,1x)/))') 'Fraction',state(ipc,ip,el)%p(2*ns+1:2*ns+nt)
!endif
end subroutine constitutive_dislotwin_microstructure
sorry, last version did not compile. now with correct encoding.
2011-04-13 17:21:46 +05:30
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
!--------------------------------------------------------------------------------------------------
!> @brief calculates plastic velocity gradient and its tangent
!--------------------------------------------------------------------------------------------------
subroutine constitutive_dislotwin_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperature,state,ipc,ip,el)
use prec, only: &
p_vec
use math, only: &
math_Plain3333to99, &
math_Mandel6to33, &
math_Mandel33to6, &
math_spectralDecompositionSym33, &
math_tensorproduct, &
math_symmetric33, &
math_mul33x3
use mesh, only: &
mesh_NcpElems, &
mesh_maxNips
use material, only: &
homogenization_maxNgrains, &
material_phase, &
phase_plasticityInstance
use lattice, only: &
lattice_Sslip, &
lattice_Sslip_v, &
lattice_Stwin, &
lattice_Stwin_v, &
lattice_maxNslipFamily,&
lattice_maxNtwinFamily, &
lattice_NslipSystem, &
lattice_NtwinSystem, &
lattice_shearTwin, &
lattice_fcc_corellationTwinSlip
implicit none
integer(pInt), intent(in) :: ipc,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
integer(pInt) :: matID,structID,ns,nt,f,i,j,k,l,m,n,index_myFamily,s1,s2
real(pReal) :: sumf,StressRatio_p,StressRatio_pminus1,StressRatio_r,BoltzmannRatio,DotGamma0,Ndot0
real(pReal), dimension(3,3,3,3) :: dLp_dTstar3333
real(pReal), dimension(constitutive_dislotwin_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
gdot_slip,dgdot_dtauslip,tau_slip
real(pReal), dimension(constitutive_dislotwin_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
gdot_twin,dgdot_dtautwin,tau_twin
real(pReal), dimension(6) :: gdot_sb,dgdot_dtausb,tau_sb
real(pReal), dimension(3,3) :: eigVectors, sb_Smatrix
real(pReal), dimension(3) :: eigValues, sb_s, sb_m
real(pReal), dimension(3,6), parameter :: &
sb_sComposition = &
reshape(real([&
1, 0, 1, &
1, 0,-1, &
1, 1, 0, &
1,-1, 0, &
0, 1, 1, &
0, 1,-1 &
],pReal),[ 3,6]), &
sb_mComposition = &
reshape(real([&
1, 0,-1, &
1, 0,+1, &
1,-1, 0, &
1, 1, 0, &
0, 1,-1, &
0, 1, 1 &
],pReal),[ 3,6])
logical error
!* Shortened notation
matID = phase_plasticityInstance(material_phase(ipc,ip,el))
structID = constitutive_dislotwin_structure(matID)
ns = constitutive_dislotwin_totalNslip(matID)
nt = constitutive_dislotwin_totalNtwin(matID)
!* Total twin volume fraction
sumf = sum(state(ipc,ip,el)%p((3_pInt*ns+1_pInt):(3_pInt*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_pInt,lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1_pInt,constitutive_dislotwin_Nslip(f,matID) ! 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(:,1,index_myFamily+i,structID))
!* Stress ratios
StressRatio_p = (abs(tau_slip(j))/state(ipc,ip,el)%p(6*ns+4*nt+j))**constitutive_dislotwin_p(matID)
StressRatio_pminus1 = (abs(tau_slip(j))/state(ipc,ip,el)%p(6*ns+4*nt+j))**(constitutive_dislotwin_p(matID)-1.0_pReal)
!* Boltzmann ratio
BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(j,matID)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = &
state(ipc,ip,el)%p(j)*constitutive_dislotwin_burgersPerSlipSystem(j,matID)*&
constitutive_dislotwin_v0PerSlipSystem(j,matID)
!* Shear rates due to slip
gdot_slip(j) = DotGamma0*exp(-BoltzmannRatio*(1-StressRatio_p)**constitutive_dislotwin_q(matID))*&
sign(1.0_pReal,tau_slip(j))
!* Derivatives of shear rates
dgdot_dtauslip(j) = &
((abs(gdot_slip(j))*BoltzmannRatio*&
constitutive_dislotwin_p(matID)*constitutive_dislotwin_q(matID))/state(ipc,ip,el)%p(6*ns+4*nt+j))*&
StressRatio_pminus1*(1-StressRatio_p)**(constitutive_dislotwin_q(matID)-1.0_pReal)
!* Plastic velocity gradient for dislocation glide
Lp = Lp + (1.0_pReal - sumf)*gdot_slip(j)*lattice_Sslip(:,:,1,index_myFamily+i,structID)
!* Calculation of the tangent of Lp
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
dLp_dTstar3333(k,l,m,n) = &
dLp_dTstar3333(k,l,m,n) + dgdot_dtauslip(j)*&
lattice_Sslip(k,l,1,index_myFamily+i,structID)*&
lattice_Sslip(m,n,1,index_myFamily+i,structID)
enddo
enddo
!* Shear banding (shearband) part
if(constitutive_dislotwin_sbVelocity(matID) /= 0.0_pReal .or. &
constitutive_dislotwin_sbResistance(matID) /= 0.0_pReal) then
gdot_sb = 0.0_pReal
dgdot_dtausb = 0.0_pReal
call math_spectralDecompositionSym33(math_Mandel6to33(Tstar_v),eigValues,eigVectors, error)
do j = 1_pInt,6_pInt
sb_s = 0.5_pReal*sqrt(2.0_pReal)*math_mul33x3(eigVectors,sb_sComposition(1:3,j))
sb_m = 0.5_pReal*sqrt(2.0_pReal)*math_mul33x3(eigVectors,sb_mComposition(1:3,j))
sb_Smatrix = math_tensorproduct(sb_s,sb_m)
constitutive_dislotwin_sbSv(1:6,j,ipc,ip,el) = math_Mandel33to6(math_symmetric33(sb_Smatrix))
!* Calculation of Lp
!* Resolved shear stress on shear banding system
tau_sb(j) = dot_product(Tstar_v,constitutive_dislotwin_sbSv(1:6,j,ipc,ip,el))
! if (debug_selectiveDebugger .and. ipc==debug_ipc .and. ip==debug_i .and. el==debug_e) then
! write(6,'(a,3(i3,1x),a,i1,a,e10.3)') '### TAU SHEARBAND at ipc ip el ',ipc,ip,el,' on family ',j,' : ',tau
! endif
!* Stress ratios
StressRatio_p = (abs(tau_sb(j))/constitutive_dislotwin_sbResistance(matID))**constitutive_dislotwin_p(matID)
StressRatio_pminus1 = (abs(tau_sb(j))/constitutive_dislotwin_sbResistance(matID))&
**(constitutive_dislotwin_p(matID)-1.0_pReal)
!* Boltzmann ratio
BoltzmannRatio = constitutive_dislotwin_sbQedge(matID)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = constitutive_dislotwin_sbVelocity(matID)
!* Shear rates due to shearband
gdot_sb(j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**constitutive_dislotwin_q(matID))*&
sign(1.0_pReal,tau_sb(j))
!* Derivatives of shear rates
dgdot_dtausb(j) = &
((abs(gdot_sb(j))*BoltzmannRatio*&
constitutive_dislotwin_p(matID)*constitutive_dislotwin_q(matID))/constitutive_dislotwin_sbResistance(matID))*&
StressRatio_pminus1*(1_pInt-StressRatio_p)**(constitutive_dislotwin_q(matID)-1.0_pReal)
!* Plastic velocity gradient for shear banding
Lp = Lp + gdot_sb(j)*sb_Smatrix
!* Calculation of the tangent of Lp
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
dLp_dTstar3333(k,l,m,n) = &
dLp_dTstar3333(k,l,m,n) + dgdot_dtausb(j)*&
sb_Smatrix(k,l)*&
sb_Smatrix(m,n)
sorry, last version did not compile. now with correct encoding.
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enddo
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
end if
all constitutive modules now contain a new function "deltaState", which in the future allows to have an instantaneous and incremental change of the state (additional to the rate based evolution with dotState).
2012-05-16 20:13:26 +05:30
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
!* Mechanical twinning part
gdot_twin = 0.0_pReal
dgdot_dtautwin = 0.0_pReal
j = 0_pInt
do f = 1_pInt,lattice_maxNtwinFamily ! loop over all slip families
index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1_pInt,constitutive_dislotwin_Ntwin(f,matID) ! 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,structID))
!* Stress ratios
StressRatio_r = (state(ipc,ip,el)%p(7*ns+4*nt+j)/tau_twin(j))**constitutive_dislotwin_r(matID)
!* Shear rates and their derivatives due to twin
if ( tau_twin(j) > 0.0_pReal ) then
select case(constitutive_dislotwin_structureName(matID))
case ('fcc')
s1=lattice_fcc_corellationTwinSlip(1,index_myFamily+i)
s2=lattice_fcc_corellationTwinSlip(2,index_myFamily+i)
if (tau_twin(j) < constitutive_dislotwin_tau_r(j,matID)) then
Ndot0=(abs(gdot_slip(s1))*(state(ipc,ip,el)%p(s2)+state(ipc,ip,el)%p(ns+s2))+&
abs(gdot_slip(s2))*(state(ipc,ip,el)%p(s1)+state(ipc,ip,el)%p(ns+s1)))/&
(constitutive_dislotwin_L0(matID)*constitutive_dislotwin_burgersPerSlipSystem(j,matID))*&
(1-exp(-constitutive_dislotwin_VcrossSlip(matID)/(kB*Temperature)*&
(constitutive_dislotwin_tau_r(j,matID)-tau_twin(j))))
else
Ndot0=0.0_pReal
end if
case default
Ndot0=constitutive_dislotwin_Ndot0PerTwinSystem(j,matID)
end select
gdot_twin(j) = &
(constitutive_dislotwin_MaxTwinFraction(matID)-sumf)*lattice_shearTwin(index_myFamily+i,structID)*&
state(ipc,ip,el)%p(7*ns+5*nt+j)*Ndot0*exp(-StressRatio_r)
dgdot_dtautwin(j) = ((gdot_twin(j)*constitutive_dislotwin_r(matID))/tau_twin(j))*StressRatio_r
endif
!* Plastic velocity gradient for mechanical twinning
Lp = Lp + gdot_twin(j)*lattice_Stwin(:,:,index_myFamily+i,structID)
!* Calculation of the tangent of Lp
forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) &
dLp_dTstar3333(k,l,m,n) = &
dLp_dTstar3333(k,l,m,n) + dgdot_dtautwin(j)*&
lattice_Stwin(k,l,index_myFamily+i,structID)*&
lattice_Stwin(m,n,index_myFamily+i,structID)
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(e20.8,1x),/))') 'state',state(1,1,1)%p
! write(6,'(a,/,3(3(f10.4,1x)/))') 'Lp',Lp
! write(6,'(a,/,9(9(f10.4,1x)/))') 'dLp_dTstar',dLp_dTstar
!endif
end subroutine constitutive_dislotwin_LpAndItsTangent
sorry, last version did not compile. now with correct encoding.
2011-04-13 17:21:46 +05:30
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
!--------------------------------------------------------------------------------------------------
!> @brief calculates the rate of change of microstructure
!--------------------------------------------------------------------------------------------------
pure function constitutive_dislotwin_dotState(Tstar_v,Temperature,state,ipc,ip,el)
use prec, only: p_vec
use math, only: pi
use mesh, only: mesh_NcpElems, mesh_maxNips
use material, only: homogenization_maxNgrains, material_phase, phase_plasticityInstance
use lattice, only: lattice_Sslip_v, lattice_Stwin_v, &
lattice_maxNslipFamily,lattice_maxNtwinFamily, &
lattice_NslipSystem, lattice_NtwinSystem, lattice_sheartwin, lattice_fcc_corellationTwinSlip
sorry, last version did not compile. now with correct encoding.
2011-04-13 17:21:46 +05:30
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
implicit none
real(pReal), dimension(6), intent(in):: &
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
real(pReal), intent(in) :: &
temperature !< temperature at integration point
integer(pInt), intent(in) :: &
ipc, & !< component-ID of integration point
ip, & !< integration point
el !< element
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
state !< microstructure state
real(pReal), dimension(constitutive_dislotwin_sizeDotState(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
constitutive_dislotwin_dotState
integer(pInt) matID,structID,ns,nt,f,i,j,index_myFamily,s1,s2
real(pReal) sumf,StressRatio_p,StressRatio_pminus1,BoltzmannRatio,DotGamma0,&
EdgeDipMinDistance,AtomicVolume,VacancyDiffusion,StressRatio_r,Ndot0
real(pReal), dimension(constitutive_dislotwin_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
gdot_slip,tau_slip,DotRhoMultiplication,EdgeDipDistance,DotRhoEdgeEdgeAnnihilation,DotRhoEdgeDipAnnihilation,&
ClimbVelocity,DotRhoEdgeDipClimb,DotRhoDipFormation
real(pReal), dimension(constitutive_dislotwin_totalNtwin(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
tau_twin
!* Shortened notation
matID = phase_plasticityInstance(material_phase(ipc,ip,el))
structID = constitutive_dislotwin_structure(matID)
ns = constitutive_dislotwin_totalNslip(matID)
nt = constitutive_dislotwin_totalNtwin(matID)
!* Total twin volume fraction
sumf = sum(state(ipc,ip,el)%p((3_pInt*ns+1_pInt):(3_pInt*ns+nt))) ! safe for nt == 0
constitutive_dislotwin_dotState = 0.0_pReal
!* Dislocation density evolution
gdot_slip = 0.0_pReal
j = 0_pInt
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1_pInt,constitutive_dislotwin_Nslip(f,matID) ! process each (active) slip system in family
j = j+1_pInt
!* Resolved shear stress on slip system
tau_slip(j) = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,structID))
!* Stress ratios
StressRatio_p = (abs(tau_slip(j))/state(ipc,ip,el)%p(6_pInt*ns+4_pInt*nt+j))**&
constitutive_dislotwin_p(matID)
StressRatio_pminus1 = (abs(tau_slip(j))/state(ipc,ip,el)%p(6_pInt*ns+4_pInt*nt+j))**&
(constitutive_dislotwin_p(matID)-1.0_pReal)
!* Boltzmann ratio
BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(j,matID)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = &
state(ipc,ip,el)%p(j)*constitutive_dislotwin_burgersPerSlipSystem(j,matID)*&
constitutive_dislotwin_v0PerSlipSystem(j,matID)
!* Shear rates due to slip
gdot_slip(j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**constitutive_dislotwin_q(matID))*&
sign(1.0_pReal,tau_slip(j))
!* Multiplication
DotRhoMultiplication(j) = abs(gdot_slip(j))/&
(constitutive_dislotwin_burgersPerSlipSystem(j,matID)*state(ipc,ip,el)%p(5*ns+3*nt+j))
!* Dipole formation
EdgeDipMinDistance = &
constitutive_dislotwin_CEdgeDipMinDistance(matID)*constitutive_dislotwin_burgersPerSlipSystem(j,matID)
if (tau_slip(j) == 0.0_pReal) then
DotRhoDipFormation(j) = 0.0_pReal
else
EdgeDipDistance(j) = &
(3.0_pReal*constitutive_dislotwin_Gmod(matID)*constitutive_dislotwin_burgersPerSlipSystem(j,matID))/&
(16.0_pReal*pi*abs(tau_slip(j)))
if (EdgeDipDistance(j)>state(ipc,ip,el)%p(5*ns+3*nt+j)) EdgeDipDistance(j)=state(ipc,ip,el)%p(5*ns+3*nt+j)
if (EdgeDipDistance(j)<EdgeDipMinDistance) EdgeDipDistance(j)=EdgeDipMinDistance
DotRhoDipFormation(j) = &
((2.0_pReal*EdgeDipDistance(j))/constitutive_dislotwin_burgersPerSlipSystem(j,matID))*&
state(ipc,ip,el)%p(j)*abs(gdot_slip(j))
endif
!* Spontaneous annihilation of 2 single edge dislocations
DotRhoEdgeEdgeAnnihilation(j) = &
((2.0_pReal*EdgeDipMinDistance)/constitutive_dislotwin_burgersPerSlipSystem(j,matID))*&
state(ipc,ip,el)%p(j)*abs(gdot_slip(j))
!* Spontaneous annihilation of a single edge dislocation with a dipole constituent
DotRhoEdgeDipAnnihilation(j) = &
((2.0_pReal*EdgeDipMinDistance)/constitutive_dislotwin_burgersPerSlipSystem(j,matID))*&
state(ipc,ip,el)%p(ns+j)*abs(gdot_slip(j))
!* Dislocation dipole climb
AtomicVolume = &
constitutive_dislotwin_CAtomicVolume(matID)*constitutive_dislotwin_burgersPerSlipSystem(j,matID)**(3.0_pReal)
VacancyDiffusion = &
constitutive_dislotwin_D0(matID)*exp(-constitutive_dislotwin_Qsd(matID)/(kB*Temperature))
if (tau_slip(j) == 0.0_pReal) then
DotRhoEdgeDipClimb(j) = 0.0_pReal
else
ClimbVelocity(j) = &
((3.0_pReal*constitutive_dislotwin_Gmod(matID)*VacancyDiffusion*AtomicVolume)/(2.0_pReal*pi*kB*Temperature))*&
(1/(EdgeDipDistance(j)+EdgeDipMinDistance))
DotRhoEdgeDipClimb(j) = &
(4.0_pReal*ClimbVelocity(j)*state(ipc,ip,el)%p(ns+j))/(EdgeDipDistance(j)-EdgeDipMinDistance)
endif
!* Edge dislocation density rate of change
constitutive_dislotwin_dotState(j) = &
DotRhoMultiplication(j)-DotRhoDipFormation(j)-DotRhoEdgeEdgeAnnihilation(j)
!* Edge dislocation dipole density rate of change
constitutive_dislotwin_dotState(ns+j) = &
DotRhoDipFormation(j)-DotRhoEdgeDipAnnihilation(j)-DotRhoEdgeDipClimb(j)
!* Dotstate for accumulated shear due to slip
constitutive_dislotwin_dotstate(2_pInt*ns+j) = gdot_slip(j)
enddo
enddo
!* Twin volume fraction evolution
j = 0_pInt
do f = 1_pInt,lattice_maxNtwinFamily ! loop over all twin families
index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1_pInt,constitutive_dislotwin_Ntwin(f,matID) ! 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,structID))
!* Stress ratios
StressRatio_r = (state(ipc,ip,el)%p(7*ns+4*nt+j)/tau_twin(j))**constitutive_dislotwin_r(matID)
!* Shear rates and their derivatives due to twin
if ( tau_twin(j) > 0.0_pReal ) then
select case(constitutive_dislotwin_structureName(matID))
case ('fcc')
s1=lattice_fcc_corellationTwinSlip(1,index_myFamily+i)
s2=lattice_fcc_corellationTwinSlip(2,index_myFamily+i)
if (tau_twin(j) < constitutive_dislotwin_tau_r(j,matID)) then
Ndot0=(abs(gdot_slip(s1))*(state(ipc,ip,el)%p(s2)+state(ipc,ip,el)%p(ns+s2))+&
abs(gdot_slip(s2))*(state(ipc,ip,el)%p(s1)+state(ipc,ip,el)%p(ns+s1)))/&
(constitutive_dislotwin_L0(matID)*constitutive_dislotwin_burgersPerSlipSystem(j,matID))*&
(1-exp(-constitutive_dislotwin_VcrossSlip(matID)/(kB*Temperature)*&
(constitutive_dislotwin_tau_r(j,matID)-tau_twin(j))))
else
Ndot0=0.0_pReal
end if
case default
Ndot0=constitutive_dislotwin_Ndot0PerTwinSystem(j,matID)
end select
constitutive_dislotwin_dotState(3_pInt*ns+j) = &
(constitutive_dislotwin_MaxTwinFraction(matID)-sumf)*&
state(ipc,ip,el)%p(7_pInt*ns+5_pInt*nt+j)*Ndot0*exp(-StressRatio_r)
!* Dotstate for accumulated shear due to twin
constitutive_dislotwin_dotstate(3_pInt*ns+nt+j) = constitutive_dislotwin_dotState(3_pInt*ns+j) * &
lattice_sheartwin(index_myfamily+i,structID)
endif
enddo
enddo
!write(6,*) '#DOTSTATE#'
!write(6,*)
!write(6,'(a,/,4(3(f30.20,1x)/))') 'tau slip',tau_slip
!write(6,'(a,/,4(3(f30.20,1x)/))') 'gamma slip',gdot_slip
!write(6,'(a,/,4(3(f30.20,1x)/))') 'RhoEdge',state(ipc,ip,el)%p(1:ns)
!write(6,'(a,/,4(3(f30.20,1x)/))') 'Threshold Slip', state(ipc,ip,el)%p(5*ns+3*nt+1:6*ns+3*nt)
!write(6,'(a,/,4(3(f30.20,1x)/))') 'Multiplication',DotRhoMultiplication
!write(6,'(a,/,4(3(f30.20,1x)/))') 'DipFormation',DotRhoDipFormation
!write(6,'(a,/,4(3(f30.20,1x)/))') 'SingleSingle',DotRhoEdgeEdgeAnnihilation
!write(6,'(a,/,4(3(f30.20,1x)/))') 'SingleDipole',DotRhoEdgeDipAnnihilation
!write(6,'(a,/,4(3(f30.20,1x)/))') 'DipClimb',DotRhoEdgeDipClimb
end function constitutive_dislotwin_dotState
sorry, last version did not compile. now with correct encoding.
2011-04-13 17:21:46 +05:30
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
!--------------------------------------------------------------------------------------------------
!> @brief (instantaneous) incremental change of microstructure
!> @details dummy function, returns 0.0
!--------------------------------------------------------------------------------------------------
pure function constitutive_dislotwin_deltaState(Tstar_v,temperature,state,ipc,ip,el)
use prec, only: &
p_vec
use mesh, only: &
mesh_NcpElems, &
mesh_maxNips
use material, only: &
homogenization_maxNgrains, &
material_phase, &
phase_plasticityInstance
implicit none
real(pReal), dimension(6), intent(in):: &
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
real(pReal), intent(in) :: &
Temperature !< temperature at integration point
integer(pInt), intent(in) :: &
ipc, & !< component-ID of integration point
ip, & !< integration point
el !< element
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
state !< microstructure state
real(pReal), dimension(constitutive_dislotwin_sizeDotState(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
constitutive_dislotwin_deltaState
merged in the shear band code, it compiles but is not otherwise tested yet
2011-09-16 21:25:18 +05:30
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
constitutive_dislotwin_deltaState = 0.0_pReal
end function constitutive_dislotwin_deltaState
sorry, last version did not compile. now with correct encoding.
2011-04-13 17:21:46 +05:30
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
!--------------------------------------------------------------------------------------------------
!> @brief calculates the rate of change of temperature
!> @details dummy function, returns 0.0
!--------------------------------------------------------------------------------------------------
real(pReal) pure function constitutive_dislotwin_dotTemperature(Tstar_v,temperature,state,ipc,ip,el)
use prec, only: &
p_vec
use mesh, only: &
mesh_NcpElems, &
mesh_maxNips
use material, only: &
homogenization_maxNgrains
implicit none
real(pReal), dimension(6), intent(in) :: &
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
real(pReal), intent(in) :: &
temperature !< temperature at integration point
integer(pInt), intent(in) :: &
ipc, & !< component-ID of integration point
ip, & !< integration point
el !< element
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
state !< microstructure state
constitutive_dislotwin_dotTemperature = 0.0_pReal
end function constitutive_dislotwin_dotTemperature
!--------------------------------------------------------------------------------------------------
!> @brief return array of constitutive results
!--------------------------------------------------------------------------------------------------
function constitutive_dislotwin_postResults(Tstar_v,Temperature,dt,state,ipc,ip,el)
use prec, only: &
p_vec
use math, only: &
pi, &
math_Mandel6to33, &
math_spectralDecompositionSym33
use mesh, only: &
mesh_NcpElems, &
mesh_maxNips
use material, only: &
homogenization_maxNgrains,&
material_phase, &
phase_plasticityInstance,&
phase_Noutput
use lattice, only: &
lattice_Sslip_v, &
lattice_Stwin_v, &
lattice_maxNslipFamily, &
lattice_maxNtwinFamily, &
lattice_NslipSystem, &
lattice_NtwinSystem, &
lattice_shearTwin, &
lattice_fcc_corellationTwinSlip
sorry, last version did not compile. now with correct encoding.
2011-04-13 17:21:46 +05:30
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
implicit none
real(pReal), dimension(6), intent(in) :: &
Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation
real(pReal), intent(in) :: &
temperature, & !< temperature at integration point
dt
integer(pInt), intent(in) :: &
ipc, & !< component-ID of integration point
ip, & !< integration point
el !< element
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
state !< microstructure state
real(pReal), dimension(constitutive_dislotwin_sizePostResults(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
constitutive_dislotwin_postResults
integer(pInt) :: &
matID,structID,&
ns,nt,&
f,o,i,c,j,index_myFamily,&
s1,s2
real(pReal) :: sumf,tau,StressRatio_p,StressRatio_pminus1,BoltzmannRatio,DotGamma0,StressRatio_r,Ndot0,dgdot_dtauslip
real(preal), dimension(constitutive_dislotwin_totalNslip(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: &
gdot_slip
real(pReal), dimension(3,3) :: eigVectors
real(pReal), dimension (3) :: eigValues
logical :: error
!* Shortened notation
matID = phase_plasticityInstance(material_phase(ipc,ip,el))
structID = constitutive_dislotwin_structure(matID)
ns = constitutive_dislotwin_totalNslip(matID)
nt = constitutive_dislotwin_totalNtwin(matID)
!* Total twin volume fraction
sumf = sum(state(ipc,ip,el)%p((3_pInt*ns+1_pInt):(3_pInt*ns+nt))) ! safe for nt == 0
!* Required output
c = 0_pInt
constitutive_dislotwin_postResults = 0.0_pReal
!* Spectral decomposition of stress
call math_spectralDecompositionSym33(math_Mandel6to33(Tstar_v),eigValues,eigVectors, error)
do o = 1_pInt,phase_Noutput(material_phase(ipc,ip,el))
select case(constitutive_dislotwin_output(o,matID))
case ('edge_density')
constitutive_dislotwin_postResults(c+1_pInt:c+ns) = state(ipc,ip,el)%p(1_pInt:ns)
c = c + ns
case ('dipole_density')
constitutive_dislotwin_postResults(c+1_pInt:c+ns) = state(ipc,ip,el)%p(ns+1_pInt:2_pInt*ns)
c = c + ns
case ('shear_rate_slip')
j = 0_pInt
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1_pInt,constitutive_dislotwin_Nslip(f,matID) ! process each (active) slip system in family
j = j + 1_pInt
!* Resolved shear stress on slip system
tau = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,structID))
!* Stress ratios
StressRatio_p = (abs(tau)/state(ipc,ip,el)%p(6_pInt*ns+4_pInt*nt+j))**&
constitutive_dislotwin_p(matID)
StressRatio_pminus1 = (abs(tau)/state(ipc,ip,el)%p(6_pInt*ns+4_pInt*nt+j))**&
(constitutive_dislotwin_p(matID)-1.0_pReal)
!* Boltzmann ratio
BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(j,matID)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = &
state(ipc,ip,el)%p(j)*constitutive_dislotwin_burgersPerSlipSystem(j,matID)* &
constitutive_dislotwin_v0PerSlipSystem(j,matID)
!* Shear rates due to slip
constitutive_dislotwin_postResults(c+j) = &
DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**&
constitutive_dislotwin_q(matID))*sign(1.0_pReal,tau)
enddo ; enddo
c = c + ns
case ('accumulated_shear_slip')
polishing: adding pInt, removing unused use-statements etc
2012-02-21 21:30:00 +05:30
constitutive_dislotwin_postResults(c+1_pInt:c+ns) = &
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
state(ipc,ip,el)%p((2_pInt*ns+1_pInt):(3_pInt*ns))
c = c + ns
case ('mfp_slip')
constitutive_dislotwin_postResults(c+1_pInt:c+ns) =&
state(ipc,ip,el)%p((5_pInt*ns+3_pInt*nt+1_pInt):(6_pInt*ns+3_pInt*nt))
c = c + ns
case ('resolved_stress_slip')
j = 0_pInt
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1_pInt,constitutive_dislotwin_Nslip(f,matID) ! process each (active) slip system in family
j = j + 1_pInt
constitutive_dislotwin_postResults(c+j) =&
dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,structID))
enddo; enddo
c = c + ns
case ('threshold_stress_slip')
constitutive_dislotwin_postResults(c+1_pInt:c+ns) = &
state(ipc,ip,el)%p((6_pInt*ns+4_pInt*nt+1_pInt):(7_pInt*ns+4_pInt*nt))
c = c + ns
case ('edge_dipole_distance')
j = 0_pInt
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1_pInt,constitutive_dislotwin_Nslip(f,matID) ! process each (active) slip system in family
j = j + 1_pInt
constitutive_dislotwin_postResults(c+j) = &
(3.0_pReal*constitutive_dislotwin_Gmod(matID)*constitutive_dislotwin_burgersPerSlipSystem(j,matID))/&
(16.0_pReal*pi*abs(dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,structID))))
constitutive_dislotwin_postResults(c+j) = min(constitutive_dislotwin_postResults(c+j),state(ipc,ip,el)%p(5*ns+3*nt+j))
! constitutive_dislotwin_postResults(c+j) = max(constitutive_dislotwin_postResults(c+j),state(ipc,ip,el)%p(4*ns+2*nt+j))
enddo; enddo
c = c + ns
case ('resolved_stress_shearband')
do j = 1_pInt,6_pInt ! loop over all shearband families
constitutive_dislotwin_postResults(c+j) = dot_product(Tstar_v, constitutive_dislotwin_sbSv(1:6,j,ipc,ip,el))
enddo
c = c + 6_pInt
case ('shear_rate_shearband')
do j = 1_pInt,6_pInt ! loop over all shearbands
!* Resolved shear stress on shearband system
tau = dot_product(Tstar_v,constitutive_dislotwin_sbSv(1:6,j,ipc,ip,el))
!* Stress ratios
StressRatio_p = (abs(tau)/constitutive_dislotwin_sbResistance(matID))**constitutive_dislotwin_p(matID)
StressRatio_pminus1 = (abs(tau)/constitutive_dislotwin_sbResistance(matID))&
**(constitutive_dislotwin_p(matID)-1.0_pReal)
!* Boltzmann ratio
BoltzmannRatio = constitutive_dislotwin_sbQedge(matID)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = constitutive_dislotwin_sbVelocity(matID)
!* Shear rates due to slip
constitutive_dislotwin_postResults(c+j) = &
DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**constitutive_dislotwin_q(matID))*sign(1.0_pReal,tau)
enddo
removed possible (but not-working) output of schmid_factor_shearband from dislotwin
2013-02-14 14:23:17 +05:30
c = c + 6_pInt
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
case ('twin_fraction')
constitutive_dislotwin_postResults(c+1_pInt:c+nt) = state(ipc,ip,el)%p((3_pInt*ns+1_pInt):(3_pInt*ns+nt))
c = c + nt
case ('shear_rate_twin')
if (nt > 0_pInt) then
j = 0_pInt
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1_pInt,constitutive_dislotwin_Nslip(f,matID) ! process each (active) slip system in family
j = j + 1_pInt
!* Resolved shear stress on slip system
tau = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,structID))
!* Stress ratios
StressRatio_p = (abs(tau)/state(ipc,ip,el)%p(5_pInt*ns+3_pInt*nt+j))**&
constitutive_dislotwin_p(matID)
StressRatio_pminus1 = (abs(tau)/state(ipc,ip,el)%p(5_pInt*ns+3_pInt*nt+j))**&
(constitutive_dislotwin_p(matID)-1.0_pReal)
!* Boltzmann ratio
BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(j,matID)/(kB*Temperature)
!* Initial shear rates
DotGamma0 = &
state(ipc,ip,el)%p(j)*constitutive_dislotwin_burgersPerSlipSystem(j,matID)* &
constitutive_dislotwin_v0PerSlipSystem(j,matID)
!* Shear rates due to slip
gdot_slip(j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**&
constitutive_dislotwin_q(matID))*sign(1.0_pReal,tau)
enddo;enddo
j = 0_pInt
do f = 1_pInt,lattice_maxNtwinFamily ! loop over all twin families
index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1,constitutive_dislotwin_Ntwin(f,matID) ! process each (active) twin system in family
j = j + 1_pInt
!* Resolved shear stress on twin system
tau = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,structID))
!* Stress ratios
StressRatio_r = (state(ipc,ip,el)%p(7_pInt*ns+4_pInt*nt+j)/tau)**constitutive_dislotwin_r(matID)
!* Shear rates due to twin
if ( tau > 0.0_pReal ) then
select case(constitutive_dislotwin_structureName(matID))
case ('fcc')
s1=lattice_fcc_corellationTwinSlip(1,index_myFamily+i)
s2=lattice_fcc_corellationTwinSlip(2,index_myFamily+i)
if (tau < constitutive_dislotwin_tau_r(j,matID)) then
Ndot0=(abs(gdot_slip(s1))*(state(ipc,ip,el)%p(s2)+state(ipc,ip,el)%p(ns+s2))+&
abs(gdot_slip(s2))*(state(ipc,ip,el)%p(s1)+state(ipc,ip,el)%p(ns+s1)))/&
(constitutive_dislotwin_L0(matID)*&
constitutive_dislotwin_burgersPerSlipSystem(j,matID))*&
(1-exp(-constitutive_dislotwin_VcrossSlip(matID)/(kB*Temperature)*&
(constitutive_dislotwin_tau_r(j,matID)-tau)))
else
Ndot0=0.0_pReal
end if
case default
Ndot0=constitutive_dislotwin_Ndot0PerTwinSystem(j,matID)
end select
constitutive_dislotwin_postResults(c+j) = &
(constitutive_dislotwin_MaxTwinFraction(matID)-sumf)*lattice_shearTwin(index_myFamily+i,structID)*&
state(ipc,ip,el)%p(7_pInt*ns+5_pInt*nt+j)*Ndot0*exp(-StressRatio_r)
endif
enddo ; enddo
endif
c = c + nt
case ('accumulated_shear_twin')
constitutive_dislotwin_postResults(c+1_pInt:c+nt) = state(ipc,ip,el)%p((3_pInt*ns+nt+1_pInt):(3_pInt*ns+2_pInt*nt))
c = c + nt
case ('mfp_twin')
constitutive_dislotwin_postResults(c+1_pInt:c+nt) = state(ipc,ip,el)%p((6_pInt*ns+3_pInt*nt+1_pInt):(6_pInt*ns+4_pInt*nt))
c = c + nt
case ('resolved_stress_twin')
if (nt > 0_pInt) then
j = 0_pInt
do f = 1_pInt,lattice_maxNtwinFamily ! loop over all slip families
index_myFamily = sum(lattice_NtwinSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1_pInt,constitutive_dislotwin_Ntwin(f,matID) ! process each (active) slip system in family
j = j + 1_pInt
constitutive_dislotwin_postResults(c+j) = dot_product(Tstar_v,lattice_Stwin_v(:,index_myFamily+i,structID))
enddo; enddo
endif
c = c + nt
case ('threshold_stress_twin')
constitutive_dislotwin_postResults(c+1_pInt:c+nt) = state(ipc,ip,el)%p((7_pInt*ns+4_pInt*nt+1_pInt):(7_pInt*ns+5_pInt*nt))
c = c + nt
case ('stress_exponent')
j = 0_pInt
do f = 1_pInt,lattice_maxNslipFamily ! loop over all slip families
index_myFamily = sum(lattice_NslipSystem(1:f-1_pInt,structID)) ! at which index starts my family
do i = 1_pInt,constitutive_dislotwin_Nslip(f,matID) ! process each (active) slip system in family
j = j + 1_pInt
implementation of twin nucleation criteria according to Davids PhD thesis applies for fcc crystal structure only
2013-07-01 18:36:01 +05:30
!* Resolved shear stress on slip system
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
tau = dot_product(Tstar_v,lattice_Sslip_v(:,1,index_myFamily+i,structID))
implementation of twin nucleation criteria according to Davids PhD thesis applies for fcc crystal structure only
2013-07-01 18:36:01 +05:30
!* Stress ratios
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
StressRatio_p = (abs(tau)/state(ipc,ip,el)%p(6_pInt*ns+4_pInt*nt+j))**&
constitutive_dislotwin_p(matID)
StressRatio_pminus1 = (abs(tau)/state(ipc,ip,el)%p(6_pInt*ns+4_pInt*nt+j))**&
(constitutive_dislotwin_p(matID)-1.0_pReal)
implementation of twin nucleation criteria according to Davids PhD thesis applies for fcc crystal structure only
2013-07-01 18:36:01 +05:30
!* Boltzmann ratio
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
BoltzmannRatio = constitutive_dislotwin_QedgePerSlipSystem(j,matID)/(kB*Temperature)
implementation of twin nucleation criteria according to Davids PhD thesis applies for fcc crystal structure only
2013-07-01 18:36:01 +05:30
!* Initial shear rates
DotGamma0 = &
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
state(ipc,ip,el)%p(j)*constitutive_dislotwin_burgersPerSlipSystem(j,matID)* &
constitutive_dislotwin_v0PerSlipSystem(j,matID)
implementation of twin nucleation criteria according to Davids PhD thesis applies for fcc crystal structure only
2013-07-01 18:36:01 +05:30
!* Shear rates due to slip
gdot_slip(j) = DotGamma0*exp(-BoltzmannRatio*(1_pInt-StressRatio_p)**&
added doxygen documentation and unified variable names and some common parts of the code
2013-10-08 21:57:26 +05:30
constitutive_dislotwin_q(matID))*sign(1.0_pReal,tau)
!* Derivatives of shear rates
dgdot_dtauslip = &
((abs(gdot_slip(j))*BoltzmannRatio*&
constitutive_dislotwin_p(matID)*constitutive_dislotwin_q(matID))/state(ipc,ip,el)%p(6*ns+4*nt+j))*&
StressRatio_pminus1*(1_pInt-StressRatio_p)**(constitutive_dislotwin_q(matID)-1.0_pReal)
!* Stress exponent
if (gdot_slip(j)==0.0_pReal) then
constitutive_dislotwin_postResults(c+j) = 0.0_pReal
else
constitutive_dislotwin_postResults(c+j) = (tau/gdot_slip(j))*dgdot_dtauslip
endif
enddo ; enddo
c = c + ns
case ('sb_eigenvalues')
forall (j = 1_pInt:3_pInt) &
constitutive_dislotwin_postResults(c+j) = eigValues(j)
c = c + 3_pInt
case ('sb_eigenvectors')
constitutive_dislotwin_postResults(c+1_pInt:c+9_pInt) = reshape(eigVectors,(/9/))
c = c + 9_pInt
end select
enddo
end function constitutive_dislotwin_postResults
end module constitutive_dislotwin