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DAMASK_EICMD/code/constitutive_nonlocal.f90

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now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
!************************************
!* Module: CONSTITUTIVE_NONLOCAL *
!************************************
!* contains: *
!* - constitutive equations *
!* - parameters definition *
!************************************
MODULE constitutive_nonlocal
!* Include other modules
use prec, only: pReal,pInt
implicit none
!* Definition of parameters
character (len=*), parameter :: constitutive_nonlocal_label = 'nonlocal'
character(len=16), dimension(7), parameter :: constitutive_nonlocal_stateList = (/ 'rhoEdgePos ', &
'rhoEdgeNeg ', &
'rhoScrewPos ', &
'rhoScrewNeg ', &
'rhoForest ', &
'tauSlipThreshold', &
'backStress_v ' /) ! list of microstructural state variables
character(len=16), dimension(4), parameter :: constitutive_nonlocal_stateListBasic = constitutive_nonlocal_stateList(1:4) ! list of "basic" microstructural state variables that are independent from other state variables
character(len=16), dimension(3), parameter :: constitutive_nonlocal_stateListDependent = constitutive_nonlocal_stateList(5:7) ! list of microstructural state variables that depend on other state variables
real(pReal), parameter :: kB = 1.38e-23_pReal ! Physical parameter, Boltzmann constant in J/Kelvin
!* Definition of global variables
integer(pInt), dimension(:), allocatable :: constitutive_nonlocal_sizeDotState, & ! number of dotStates
constitutive_nonlocal_sizeState, & ! total number of microstructural state variables
constitutive_nonlocal_sizePostResults ! cumulative size of post results
integer(pInt), dimension(:,:), allocatable, target :: constitutive_nonlocal_sizePostResult ! size of each post result output
character(len=64), dimension(:,:), allocatable, target :: constitutive_nonlocal_output ! name of each post result output
character(len=32), dimension(:), allocatable :: constitutive_nonlocal_structureName ! name of the lattice structure
integer(pInt), dimension(:), allocatable :: constitutive_nonlocal_structure, & ! number representing the kind of lattice structure
constitutive_nonlocal_totalNslip ! total number of active slip systems for each instance
integer(pInt), dimension(:,:), allocatable :: constitutive_nonlocal_Nslip, & ! number of active slip systems for each family and instance
constitutive_nonlocal_slipFamily, & ! lookup table relating active slip system to slip family for each instance
constitutive_nonlocal_slipSystemLattice ! lookup table relating active slip system index to lattice slip system index for each instance
real(pReal), dimension(:), allocatable :: constitutive_nonlocal_CoverA, & ! c/a ratio for hex type lattice
constitutive_nonlocal_C11, & ! C11 element in elasticity matrix
constitutive_nonlocal_C12, & ! C12 element in elasticity matrix
constitutive_nonlocal_C13, & ! C13 element in elasticity matrix
constitutive_nonlocal_C33, & ! C33 element in elasticity matrix
constitutive_nonlocal_C44, & ! C44 element in elasticity matrix
constitutive_nonlocal_Gmod, & ! shear modulus
constitutive_nonlocal_nu ! poisson's ratio
real(pReal), dimension(:,:,:), allocatable :: constitutive_nonlocal_Cslip_66 ! elasticity matrix in Mandel notation for each instance
real(pReal), dimension(:,:,:,:,:), allocatable :: constitutive_nonlocal_Cslip_3333 ! elasticity matrix for each instance
real(pReal), dimension(:,:), allocatable :: constitutive_nonlocal_rhoEdgePos0, & ! initial edge_pos dislocation density per slip system for each family and instance
constitutive_nonlocal_rhoEdgeNeg0, & ! initial edge_neg dislocation density per slip system for each family and instance
constitutive_nonlocal_rhoScrewPos0, & ! initial screw_pos dislocation density per slip system for each family and instance
constitutive_nonlocal_rhoScrewNeg0, & ! initial screw_neg dislocation density per slip system for each family and instance
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
constitutive_nonlocal_v0BySlipFamily, & ! dislocation velocity prefactor [m/s] for each family and instance
constitutive_nonlocal_v0BySlipSystem, & ! dislocation velocity prefactor [m/s] for each slip system and instance
constitutive_nonlocal_lambda0BySlipFamily, & ! mean free path prefactor for each family and instance
constitutive_nonlocal_lambda0BySlipSystem, & ! mean free path prefactor for each slip system and instance
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
constitutive_nonlocal_burgersBySlipFamily, & ! absolute length of burgers vector [m] for each family and instance
constitutive_nonlocal_burgersBySlipSystem, & ! absolute length of burgers vector [m] for each slip system and instance
constitutive_nonlocal_interactionSlipSlip ! coefficients for slip-slip interaction for each interaction type and instance
real(pReal), dimension(:,:,:), allocatable :: constitutive_nonlocal_forestProjectionEdge, & ! matrix of forest projections of edge dislocations for each instance
constitutive_nonlocal_forestProjectionScrew, & ! matrix of forest projections of screw dislocations for each instance
constitutive_nonlocal_interactionMatrixSlipSlip ! interaction matrix of the different slip systems for each instance
CONTAINS
!****************************************
!* - constitutive_init
!* - constitutive_stateInit
!* - constitutive_homogenizedC
!* - constitutive_microstructure
!* - constitutive_LpAndItsTangent
!* - constitutive_dotState
!* - constitutive_dotTemperature
!* - constitutive_postResults
!****************************************
!**************************************
!* Module initialization *
!**************************************
subroutine constitutive_nonlocal_init(file)
use prec, only: pInt, pReal
use math, only: math_Mandel3333to66, &
math_Voigt66to3333, &
math_mul3x3
use IO, only: IO_lc, &
IO_getTag, &
IO_isBlank, &
IO_stringPos, &
IO_stringValue, &
IO_floatValue, &
IO_intValue, &
IO_error
use material, only: phase_constitution, &
phase_constitutionInstance, &
phase_Noutput
use lattice, only: lattice_maxNslipFamily, &
lattice_maxNtwinFamily, &
lattice_maxNslip, &
lattice_maxNtwin, &
lattice_maxNinteraction, &
lattice_NslipSystem, &
lattice_NtwinSystem, &
lattice_initializeStructure, &
lattice_Qtwin, &
lattice_sd, &
lattice_sn, &
lattice_st, &
lattice_interactionSlipSlip
!*** output variables
!*** input variables
integer(pInt), intent(in) :: file
!*** local variables
integer(pInt), parameter :: maxNchunks = 21
integer(pInt), dimension(1+2*maxNchunks) :: positions
integer(pInt) section, &
maxNinstance, &
maxTotalNslip, &
myStructure, &
f, & ! index of my slip family
i, & ! index of my instance of this constitution
j, &
k, &
l, &
o, & ! index of my output
s, & ! index of my slip system
s1, & ! index of my slip system
s2, & ! index of my slip system
output, &
mySize
character(len=64) tag
character(len=1024) line
write(6,*)
write(6,'(a20,a20,a12)') '<<<+- constitutive_',constitutive_nonlocal_label,' init -+>>>'
write(6,*)
maxNinstance = count(phase_constitution == constitutive_nonlocal_label)
if (maxNinstance == 0) return ! we don't have to do anything if there's no instance for this constitutive law
!*** space allocation for global variables
allocate(constitutive_nonlocal_sizeDotState(maxNinstance)); constitutive_nonlocal_sizeDotState = 0_pInt
allocate(constitutive_nonlocal_sizeState(maxNinstance)); constitutive_nonlocal_sizeState = 0_pInt
allocate(constitutive_nonlocal_sizePostResults(maxNinstance)); constitutive_nonlocal_sizePostResults = 0_pInt
allocate(constitutive_nonlocal_sizePostResult(maxval(phase_Noutput), maxNinstance));constitutive_nonlocal_sizePostResult = 0_pInt
allocate(constitutive_nonlocal_output(maxval(phase_Noutput), maxNinstance)); constitutive_nonlocal_output = ''
allocate(constitutive_nonlocal_structureName(maxNinstance)); constitutive_nonlocal_structureName = ''
allocate(constitutive_nonlocal_structure(maxNinstance)); constitutive_nonlocal_structure = 0_pInt
allocate(constitutive_nonlocal_Nslip(lattice_maxNslipFamily, maxNinstance)); constitutive_nonlocal_Nslip = 0_pInt
allocate(constitutive_nonlocal_slipFamily(lattice_maxNslip, maxNinstance)); constitutive_nonlocal_slipFamily = 0_pInt
allocate(constitutive_nonlocal_slipSystemLattice(lattice_maxNslip, maxNinstance)); constitutive_nonlocal_slipSystemLattice = 0_pInt
allocate(constitutive_nonlocal_totalNslip(maxNinstance)); constitutive_nonlocal_totalNslip = 0_pInt
allocate(constitutive_nonlocal_CoverA(maxNinstance)); constitutive_nonlocal_CoverA = 0.0_pReal
allocate(constitutive_nonlocal_C11(maxNinstance)); constitutive_nonlocal_C11 = 0.0_pReal
allocate(constitutive_nonlocal_C12(maxNinstance)); constitutive_nonlocal_C12 = 0.0_pReal
allocate(constitutive_nonlocal_C13(maxNinstance)); constitutive_nonlocal_C13 = 0.0_pReal
allocate(constitutive_nonlocal_C33(maxNinstance)); constitutive_nonlocal_C33 = 0.0_pReal
allocate(constitutive_nonlocal_C44(maxNinstance)); constitutive_nonlocal_C44 = 0.0_pReal
allocate(constitutive_nonlocal_Gmod(maxNinstance)); constitutive_nonlocal_Gmod = 0.0_pReal
allocate(constitutive_nonlocal_nu(maxNinstance)); constitutive_nonlocal_nu = 0.0_pReal
allocate(constitutive_nonlocal_Cslip_66(6,6,maxNinstance)); constitutive_nonlocal_Cslip_66 = 0.0_pReal
allocate(constitutive_nonlocal_Cslip_3333(3,3,3,3,maxNinstance)); constitutive_nonlocal_Cslip_3333 = 0.0_pReal
allocate(constitutive_nonlocal_rhoEdgePos0(lattice_maxNslipFamily, maxNinstance)); constitutive_nonlocal_rhoEdgePos0 = 0.0_pReal
allocate(constitutive_nonlocal_rhoEdgeNeg0(lattice_maxNslipFamily, maxNinstance)); constitutive_nonlocal_rhoEdgeNeg0 = 0.0_pReal
allocate(constitutive_nonlocal_rhoScrewPos0(lattice_maxNslipFamily, maxNinstance)); constitutive_nonlocal_rhoScrewPos0 = 0.0_pReal
allocate(constitutive_nonlocal_rhoScrewNeg0(lattice_maxNslipFamily, maxNinstance)); constitutive_nonlocal_rhoScrewNeg0 = 0.0_pReal
allocate(constitutive_nonlocal_v0BySlipFamily(lattice_maxNslipFamily, maxNinstance));
constitutive_nonlocal_v0BySlipFamily = 0.0_pReal
allocate(constitutive_nonlocal_burgersBySlipFamily(lattice_maxNslipFamily, maxNinstance));
constitutive_nonlocal_burgersBySlipFamily = 0.0_pReal
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
allocate(constitutive_nonlocal_Lambda0BySlipFamily(lattice_maxNslipFamily, maxNinstance));
constitutive_nonlocal_lambda0BySlipFamily = 0.0_pReal
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
allocate(constitutive_nonlocal_interactionSlipSlip(lattice_maxNinteraction, maxNinstance))
constitutive_nonlocal_interactionSlipSlip = 0.0_pReal
!*** readout data from material.config file
rewind(file)
line = ''
section = 0
do while (IO_lc(IO_getTag(line,'<','>')) /= 'phase') ! wind forward to <phase>
read(file,'(a1024)',END=100) line
enddo
do ! read thru sections of phase part
read(file,'(a1024)',END=100) line
if (IO_isBlank(line)) cycle ! skip empty lines
if (IO_getTag(line,'<','>') /= '') exit ! stop at next part
if (IO_getTag(line,'[',']') /= '') then ! next section
section = section + 1
output = 0 ! reset output counter
endif
if (section > 0 .and. phase_constitution(section) == constitutive_nonlocal_label) then ! one of my sections
i = phase_constitutionInstance(section) ! which instance of my constitution is present phase
positions = IO_stringPos(line,maxNchunks)
tag = IO_lc(IO_stringValue(line,positions,1)) ! extract key
select case(tag)
case ('(output)')
output = output + 1
constitutive_nonlocal_output(output,i) = IO_lc(IO_stringValue(line,positions,2))
case ('lattice_structure')
constitutive_nonlocal_structureName(i) = IO_lc(IO_stringValue(line,positions,2))
case ('covera_ratio')
constitutive_nonlocal_CoverA(i) = IO_floatValue(line,positions,2)
case ('c11')
constitutive_nonlocal_C11(i) = IO_floatValue(line,positions,2)
case ('c12')
constitutive_nonlocal_C12(i) = IO_floatValue(line,positions,2)
case ('c13')
constitutive_nonlocal_C13(i) = IO_floatValue(line,positions,2)
case ('c33')
constitutive_nonlocal_C33(i) = IO_floatValue(line,positions,2)
case ('c44')
constitutive_nonlocal_C44(i) = IO_floatValue(line,positions,2)
case ('nslip')
forall (f = 1:lattice_maxNslipFamily) constitutive_nonlocal_Nslip(f,i) = IO_intValue(line,positions,1+f)
case ('rhoedgepos0')
forall (f = 1:lattice_maxNslipFamily) constitutive_nonlocal_rhoEdgePos0(f,i) = IO_floatValue(line,positions,1+f)
case ('rhoedgeneg0')
forall (f = 1:lattice_maxNslipFamily) constitutive_nonlocal_rhoEdgeNeg0(f,i) = IO_floatValue(line,positions,1+f)
case ('rhoscrewpos0')
forall (f = 1:lattice_maxNslipFamily) constitutive_nonlocal_rhoScrewPos0(f,i) = IO_floatValue(line,positions,1+f)
case ('rhoscrewneg0')
forall (f = 1:lattice_maxNslipFamily) constitutive_nonlocal_rhoScrewNeg0(f,i) = IO_floatValue(line,positions,1+f)
case ('v0')
forall (f = 1:lattice_maxNslipFamily) constitutive_nonlocal_v0BySlipFamily(f,i) = IO_floatValue(line,positions,1+f)
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
case ('lambda0')
forall (f = 1:lattice_maxNslipFamily) constitutive_nonlocal_lambda0BySlipFamily(f,i) = IO_floatValue(line,positions,1+f)
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
case ('burgers')
forall (f = 1:lattice_maxNslipFamily) constitutive_nonlocal_burgersBySlipFamily(f,i) = IO_floatValue(line,positions,1+f)
case ('interaction_slipslip')
forall (f = 1:lattice_maxNinteraction) constitutive_nonlocal_interactionSlipSlip(f,i) = IO_floatValue(line,positions,1+f)
end select
endif
enddo
100 do i = 1,maxNinstance
constitutive_nonlocal_structure(i) = &
lattice_initializeStructure(constitutive_nonlocal_structureName(i), constitutive_nonlocal_CoverA(i)) ! our lattice structure is defined in the material.config file by the structureName (and the c/a ratio)
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
!*** sanity checks
!*** !!! not yet complete !!!
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
if (constitutive_nonlocal_structure(i) < 1 .or. constitutive_nonlocal_structure(i) > 3) call IO_error(205)
if (sum(constitutive_nonlocal_Nslip(:,i)) <= 0) call IO_error(225)
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
do f = 1,lattice_maxNslipFamily
if (constitutive_nonlocal_Nslip(f,i) > 0) then
if (constitutive_nonlocal_rhoEdgePos0(f,i) < 0.0_pReal) call IO_error(220)
if (constitutive_nonlocal_rhoEdgeNeg0(f,i) < 0.0_pReal) call IO_error(220)
if (constitutive_nonlocal_rhoScrewPos0(f,i) < 0.0_pReal) call IO_error(220)
if (constitutive_nonlocal_rhoScrewNeg0(f,i) < 0.0_pReal) call IO_error(220)
if (constitutive_nonlocal_burgersBySlipFamily(f,i) <= 0.0_pReal) call IO_error(221)
if (constitutive_nonlocal_v0BySlipFamily(f,i) <= 0.0_pReal) call IO_error(-1)
if (constitutive_nonlocal_lambda0BySlipFamily(f,i) <= 0.0_pReal) call IO_error(-1)
endif
enddo
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
!*** determine total number of active slip systems
constitutive_nonlocal_Nslip(:,i) &
= min( lattice_NslipSystem(:, constitutive_nonlocal_structure(i)), constitutive_nonlocal_Nslip(:,i) ) ! we can't use more slip systems per family than specified in lattice
constitutive_nonlocal_totalNslip(i) = sum(constitutive_nonlocal_Nslip(:,i))
enddo
!*** allocation of variables whose size depends on the total number of active slip systems
maxTotalNslip = maxval(constitutive_nonlocal_totalNslip)
allocate(constitutive_nonlocal_burgersBySlipSystem(maxTotalNslip, maxNinstance))
constitutive_nonlocal_burgersBySlipSystem = 0.0_pReal
allocate(constitutive_nonlocal_v0BySlipSystem(maxTotalNslip, maxNinstance))
constitutive_nonlocal_v0BySlipSystem = 0.0_pReal
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
allocate(constitutive_nonlocal_lambda0BySlipSystem(maxTotalNslip, maxNinstance))
constitutive_nonlocal_lambda0BySlipSystem = 0.0_pReal
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
allocate(constitutive_nonlocal_forestProjectionEdge(maxTotalNslip, maxTotalNslip, maxNinstance))
constitutive_nonlocal_forestProjectionEdge = 0.0_pReal
allocate(constitutive_nonlocal_forestProjectionScrew(maxTotalNslip, maxTotalNslip, maxNinstance))
constitutive_nonlocal_forestProjectionScrew = 0.0_pReal
allocate(constitutive_nonlocal_interactionMatrixSlipSlip(maxTotalNslip, maxTotalNslip, maxNinstance))
constitutive_nonlocal_interactionMatrixSlipSlip = 0.0_pReal
do i = 1,maxNinstance
myStructure = constitutive_nonlocal_structure(i) ! lattice structure of this instance
!*** Inverse lookup of my slip system family and the slip system in lattice
l = 0_pInt
do f = 1,lattice_maxNslipFamily
do s = 1,constitutive_nonlocal_Nslip(f,i)
l = l + 1
constitutive_nonlocal_slipFamily(l,i) = f
constitutive_nonlocal_slipSystemLattice(l,i) = sum(lattice_NslipSystem(1:f-1, myStructure)) + s
enddo; enddo
!*** determine size of state array
constitutive_nonlocal_sizeState(i) = (size(constitutive_nonlocal_stateList)-1) * constitutive_nonlocal_totalNslip(i) + 6_pInt ! the size of the list of states times the number of active slip systems gives the required size for the state array
constitutive_nonlocal_sizeDotState(i) = size(constitutive_nonlocal_stateListBasic) * constitutive_nonlocal_totalNslip(i) ! the size of the list of basic states times the number of active slip systems gives the required size for the dotState array
!*** determine size of postResults array
do o = 1,maxval(phase_Noutput)
select case(constitutive_nonlocal_output(o,i))
case( 'dislocationdensity', &
'shearrate_slip', &
'resolvedstress_slip', &
'resistance_slip')
mySize = constitutive_nonlocal_totalNslip(i)
case default
mySize = 0_pInt
end select
if (mySize > 0_pInt) then ! any meaningful output found
constitutive_nonlocal_sizePostResult(o,i) = mySize
constitutive_nonlocal_sizePostResults(i) = constitutive_nonlocal_sizePostResults(i) + mySize
endif
enddo
!*** elasticity matrix and shear modulus according to material.config
select case (myStructure)
case(1:2) ! cubic(s)
forall(k=1:3)
forall(j=1:3) constitutive_nonlocal_Cslip_66(k,j,i) = constitutive_nonlocal_C12(i)
constitutive_nonlocal_Cslip_66(k,k,i) = constitutive_nonlocal_C11(i)
constitutive_nonlocal_Cslip_66(k+3,k+3,i) = constitutive_nonlocal_C44(i)
end forall
case(3:) ! all hex
constitutive_nonlocal_Cslip_66(1,1,i) = constitutive_nonlocal_C11(i)
constitutive_nonlocal_Cslip_66(2,2,i) = constitutive_nonlocal_C11(i)
constitutive_nonlocal_Cslip_66(3,3,i) = constitutive_nonlocal_C33(i)
constitutive_nonlocal_Cslip_66(1,2,i) = constitutive_nonlocal_C12(i)
constitutive_nonlocal_Cslip_66(2,1,i) = constitutive_nonlocal_C12(i)
constitutive_nonlocal_Cslip_66(1,3,i) = constitutive_nonlocal_C13(i)
constitutive_nonlocal_Cslip_66(3,1,i) = constitutive_nonlocal_C13(i)
constitutive_nonlocal_Cslip_66(2,3,i) = constitutive_nonlocal_C13(i)
constitutive_nonlocal_Cslip_66(3,2,i) = constitutive_nonlocal_C13(i)
constitutive_nonlocal_Cslip_66(4,4,i) = constitutive_nonlocal_C44(i)
constitutive_nonlocal_Cslip_66(5,5,i) = constitutive_nonlocal_C44(i)
constitutive_nonlocal_Cslip_66(6,6,i) = 0.5_pReal*(constitutive_nonlocal_C11(i)- constitutive_nonlocal_C12(i))
end select
constitutive_nonlocal_Cslip_66(:,:,i) = math_Mandel3333to66(math_Voigt66to3333(constitutive_nonlocal_Cslip_66(:,:,i)))
constitutive_nonlocal_Cslip_3333(:,:,:,:,i) = math_Voigt66to3333(constitutive_nonlocal_Cslip_66(:,:,i))
constitutive_nonlocal_Gmod(i) = constitutive_nonlocal_C44(i) ! shear modulus is given by elastic constant C44
constitutive_nonlocal_nu(i) = constitutive_nonlocal_C12(i) / constitutive_nonlocal_C11(i)
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
!*** burgers vector, dislocation velocity prefactor and mean free path prefactor for each slip system
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
do s = 1,constitutive_nonlocal_totalNslip(i)
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
constitutive_nonlocal_burgersBySlipSystem(s,i) &
= constitutive_nonlocal_burgersBySlipFamily( constitutive_nonlocal_slipFamily(s,i), i )
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
constitutive_nonlocal_v0BySlipSystem(s,i) = constitutive_nonlocal_v0BySlipFamily(constitutive_nonlocal_slipFamily(s,i),i)
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
constitutive_nonlocal_lambda0BySlipSystem(s,i) &
= constitutive_nonlocal_lambda0BySlipFamily( constitutive_nonlocal_slipFamily(s,i), i )
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
enddo
!*** calculation of forest projections for edge and screw dislocations
do s1 = 1,constitutive_nonlocal_totalNslip(i)
do s2 = 1,constitutive_nonlocal_totalNslip(i)
constitutive_nonlocal_forestProjectionEdge(s1, s2, i) &
= abs(math_mul3x3(lattice_sn(:, constitutive_nonlocal_slipSystemLattice(s1,i), myStructure), &
lattice_st(:, constitutive_nonlocal_slipSystemLattice(s2,i), myStructure))) ! forest projection of edge dislocations is the projection of (b x n) onto the slip normal of the respective splip plane
constitutive_nonlocal_forestProjectionScrew(s1, s2, i) &
= abs(math_mul3x3(lattice_sn(:, constitutive_nonlocal_slipSystemLattice(s1,i), myStructure), &
lattice_sd(:, constitutive_nonlocal_slipSystemLattice(s2,i), myStructure))) ! forest projection of screw dislocations is the projection of b onto the slip normal of the respective splip plane
enddo; enddo
!*** calculation of interaction matrices
do s1 = 1,constitutive_nonlocal_totalNslip(i)
do s2 = 1,constitutive_nonlocal_totalNslip(i)
constitutive_nonlocal_interactionMatrixSlipSlip(s1, s2, i) &
= constitutive_nonlocal_interactionSlipSlip( lattice_interactionSlipSlip(constitutive_nonlocal_slipSystemLattice(s1,i), &
constitutive_nonlocal_slipSystemLattice(s2,i), &
myStructure), &
i )
enddo; enddo
enddo
endsubroutine
!*********************************************************************
!* initial microstructural state (just the "basic" states) *
!*********************************************************************
pure function constitutive_nonlocal_stateInit(myInstance)
use prec, only: pReal, &
pInt
use lattice, only: lattice_maxNslipFamily
use IO, only: IO_error
implicit none
!*** input variables
integer(pInt), intent(in) :: myInstance ! number specifying the current instance of the constitution
!*** output variables
real(pReal), dimension(constitutive_nonlocal_sizeState(myInstance)) :: &
constitutive_nonlocal_stateInit
!*** local variables
real(pReal), dimension(constitutive_nonlocal_totalNslip(myInstance)) :: &
rhoEdgePos, & ! positive edge dislocation density
rhoEdgeNeg, & ! negative edge dislocation density
rhoScrewPos, & ! positive screw dislocation density
rhoScrewNeg, & ! negative screw dislocation density
rhoForest, & ! forest dislocation density
tauSlipThreshold ! threshold shear stress for slip
integer(pInt) ns, & ! short notation for total number of active slip systems
f, & ! index of lattice family
s0, &
s1, &
s ! index of slip system
constitutive_nonlocal_stateInit = 0.0_pReal
ns = constitutive_nonlocal_totalNslip(myInstance)
!*** set the basic state variables
s1 = 0_pInt
do f = 1,lattice_maxNslipFamily
s0 = s1 + 1_pInt
s1 = s0 + constitutive_nonlocal_Nslip(f,myInstance) - 1_pInt
do s = s0,s1
rhoEdgePos(s) = constitutive_nonlocal_rhoEdgePos0(f, myInstance)
rhoEdgeNeg(s) = constitutive_nonlocal_rhoEdgeNeg0(f, myInstance)
rhoScrewPos(s) = constitutive_nonlocal_rhoScrewPos0(f, myInstance)
rhoScrewNeg(s) = constitutive_nonlocal_rhoScrewNeg0(f, myInstance)
enddo; enddo
!*** calculate the dependent state variables
! forest dislocation density
forall (s = 1:ns) &
rhoForest(s) = dot_product( (rhoEdgePos + rhoEdgeNeg), constitutive_nonlocal_forestProjectionEdge(1:ns, s, myInstance) ) &
+ dot_product( (rhoScrewPos + rhoScrewNeg), constitutive_nonlocal_forestProjectionScrew(1:ns, s, myInstance) ) ! calculation of forest dislocation density as projection of screw and edge dislocations
! threshold shear stress for dislocation slip
forall (s = 1:ns) &
tauSlipThreshold(s) = constitutive_nonlocal_Gmod(myInstance) &
* constitutive_nonlocal_burgersBySlipSystem(s, myInstance) &
* sqrt( dot_product( (rhoEdgePos + rhoEdgeNeg + rhoScrewPos + rhoScrewNeg), &
constitutive_nonlocal_interactionMatrixSlipSlip(1:ns, s, myInstance) ) )
!*** put everything together and in right order
constitutive_nonlocal_stateInit( 1: ns) = rhoEdgePos
constitutive_nonlocal_stateInit( ns+1:2*ns) = rhoEdgeNeg
constitutive_nonlocal_stateInit(2*ns+1:3*ns) = rhoScrewPos
constitutive_nonlocal_stateInit(3*ns+1:4*ns) = rhoScrewNeg
constitutive_nonlocal_stateInit(4*ns+1:5*ns) = rhoForest
constitutive_nonlocal_stateInit(5*ns+1:6*ns) = tauSlipThreshold
endfunction
!*********************************************************************
!* calculates homogenized elacticity matrix *
!*********************************************************************
pure function constitutive_nonlocal_homogenizedC(state,g,ip,el)
use prec, only: pReal, &
pInt, &
p_vec
use mesh, only: mesh_NcpElems, &
mesh_maxNips
use material, only: homogenization_maxNgrains, &
material_phase, &
phase_constitutionInstance
implicit none
!*** input variables
integer(pInt), intent(in) :: g, & ! current grain ID
ip, & ! current integration point
el ! current element
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: state ! microstructural state
!*** output variables
real(pReal), dimension(6,6) :: constitutive_nonlocal_homogenizedC ! homogenized elasticity matrix
!*** local variables
integer(pInt) myInstance ! current instance of this constitution
myInstance = phase_constitutionInstance(material_phase(g,ip,el))
constitutive_nonlocal_homogenizedC = constitutive_nonlocal_Cslip_66(:,:,myInstance)
endfunction
!*********************************************************************
!* calculates quantities characterizing the microstructure *
!*********************************************************************
subroutine constitutive_nonlocal_microstructure(Temperature, Fp, state, g, ip, el)
use prec, only: pReal, &
pInt, &
p_vec
use math, only: math_Plain3333to99, &
math_Mandel33to6, &
math_Mandel6to33, &
math_mul33x33, &
math_mul3x3, &
math_mul33x3, &
math_transpose3x3, &
pi
use mesh, only: mesh_NcpElems, &
mesh_maxNips, &
mesh_element, &
FE_NipNeighbors, &
mesh_ipNeighborhood, &
mesh_ipVolume, &
mesh_ipCenterOfGravity
use material, only: homogenization_maxNgrains, &
material_phase, &
phase_constitutionInstance
use lattice, only: lattice_Sslip, &
lattice_Sslip_v, &
lattice_maxNslipFamily, &
lattice_NslipSystem, &
lattice_maxNslip, &
lattice_sd, &
lattice_sn, &
lattice_st
implicit none
!*** input variables
integer(pInt), intent(in) :: g, & ! current grain ID
ip, & ! current integration point
el ! current element
real(pReal), intent(in) :: Temperature ! temperature
real(pReal), dimension(3,3,homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
Fp ! plastic deformation gradient
!*** input/output variables
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(inout) :: &
state ! microstructural state
!*** output variables
!*** local variables
integer(pInt) myInstance, & ! current instance of this constitution
myStructure, & ! current lattice structure
ns, & ! short notation for the total number of active slip systems
neighboring_el, & ! element number of my neighbor
neighboring_ip, & ! integration point of my neighbor
n, & ! index of my current neighbor
s, & ! index of my current slip system
sLattice ! index of my current slip system as specified by lattice
real(pReal) gb, & ! short notation for G*b/2/pi
x, & ! coordinate in direction of lvec
y, & ! coordinate in direction of bvec
z ! coordinate in direction of nvec
real(pReal), dimension(3) :: connectingVector ! vector connecting the centers of gravity of me and my neigbor
real(pReal), dimension(6) :: backStress_v ! backstress resulting from the neighboring excess dislocation densities as 2nd Piola-Kirchhoff stress in Mandel notation
real(pReal), dimension(3,3) :: transform, & ! orthogonal transformation matrix from slip coordinate system with e1=bxn, e2=b, e3=n to lattice coordinate system
sigma ! backstress resulting from the excess dislocation density of a single slip system and a single neighbor calculated in the coordinate system of the slip system
real(pReal), dimension(constitutive_nonlocal_totalNslip(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
rhoEdgePos, & ! positive edge dislocation density
rhoEdgeNeg, & ! negative edge dislocation density
rhoScrewPos, & ! positive screw dislocation density
rhoScrewNeg, & ! negative screw dislocation density
rhoForest, & ! forest dislocation density
tauSlipThreshold, & ! threshold shear stress
neighboring_rhoEdgePos, & ! positive edge dislocation density of my neighbor
neighboring_rhoEdgeNeg, & ! negative edge dislocation density of my neighbor
neighboring_rhoScrewPos, & ! positive screw dislocation density of my neighbor
neighboring_rhoScrewNeg, & ! negative screw dislocation density of my neighbor
neighboring_rhoEdgeExcess, &! edge excess dislocation density of my neighbor
neighboring_rhoScrewExcess,&! screw excess dislocation density of my neighbor
neighboring_Nedge, & ! total number of edge excess dislocations in my neighbor
neighboring_Nscrew
myInstance = phase_constitutionInstance(material_phase(g,ip,el))
myStructure = constitutive_nonlocal_structure(myInstance)
ns = constitutive_nonlocal_totalNslip(myInstance)
!**********************************************************************
!*** get basic states
rhoEdgePos = state(g,ip,el)%p( 1: ns)
rhoEdgeNeg = state(g,ip,el)%p( ns+1:2*ns)
rhoScrewPos = state(g,ip,el)%p(2*ns+1:3*ns)
rhoScrewNeg = state(g,ip,el)%p(3*ns+1:4*ns)
!**********************************************************************
!*** calculate dependent states
!*** calculate the forest dislocation density
forall (s = 1:ns) &
rhoForest(s) = dot_product( (rhoEdgePos + rhoEdgeNeg), constitutive_nonlocal_forestProjectionEdge(1:ns, s, myInstance) ) &
+ dot_product( (rhoScrewPos + rhoScrewNeg), constitutive_nonlocal_forestProjectionScrew(1:ns, s, myInstance) ) ! calculation of forest dislocation density as projection of screw and edge dislocations
!*** calculate the threshold shear stress for dislocation slip
forall (s = 1:ns) &
tauSlipThreshold(s) = constitutive_nonlocal_Gmod(myInstance) &
* constitutive_nonlocal_burgersBySlipSystem(s, myInstance) &
* sqrt( dot_product( (rhoEdgePos + rhoEdgeNeg + rhoScrewPos + rhoScrewNeg), &
constitutive_nonlocal_interactionMatrixSlipSlip(1:ns, s, myInstance) ) )
!*** calculate the backstress of the neighboring excess dislocation densities
backStress_v = 0.0_pReal
! loop through my neighbors (if it exists!)
do n = 1,FE_NipNeighbors(mesh_element(2,el))
neighboring_el = mesh_ipNeighborhood(1,n,ip,el)
neighboring_ip = mesh_ipNeighborhood(2,n,ip,el)
if ( neighboring_el == 0 .or. neighboring_ip == 0 ) cycle
! calculate the connecting vector between me and my neighbor and his excess dislocation density
connectingVector = math_mul33x3( Fp(:,:,g,ip,el), &
(mesh_ipCenterOfGravity(:,ip,el) - mesh_ipCenterOfGravity(:,neighboring_ip,neighboring_el)) )
neighboring_rhoEdgePos = state(1, neighboring_ip, neighboring_el)%p( 1: ns)
neighboring_rhoEdgeNeg = state(1, neighboring_ip, neighboring_el)%p( ns+1:2*ns)
neighboring_rhoScrewPos = state(1, neighboring_ip, neighboring_el)%p(2*ns+1:3*ns)
neighboring_rhoScrewNeg = state(1, neighboring_ip, neighboring_el)%p(3*ns+1:4*ns)
neighboring_rhoEdgeExcess = neighboring_rhoEdgePos - neighboring_rhoEdgeNeg
neighboring_rhoScrewExcess = neighboring_rhoScrewPos - neighboring_rhoScrewNeg
neighboring_Nedge = neighboring_rhoEdgeExcess * mesh_ipVolume(neighboring_ip, neighboring_el) ** (2.0_pReal/3.0_pReal)
neighboring_Nscrew = neighboring_rhoScrewExcess * mesh_ipVolume(neighboring_ip, neighboring_el) ** (2.0_pReal/3.0_pReal)
! loop over slip systems and get their slip directions, slip normals, and sd x sn
do s = 1,ns
transform = reshape( (/lattice_st(:, constitutive_nonlocal_slipSystemLattice(s,myInstance), myStructure), &
lattice_sd(:, constitutive_nonlocal_slipSystemLattice(s,myInstance), myStructure), &
lattice_sn(:, constitutive_nonlocal_slipSystemLattice(s,myInstance), myStructure)/), (/3,3/) )
! coordinate transformation of p from the lattice coordinate system to the slip coordinate system
x = math_mul3x3(connectingVector, transform(:,1))
y = math_mul3x3(connectingVector, transform(:,2))
z = math_mul3x3(connectingVector, transform(:,3))
! calculate the back stress in the slip coordinate system for this slip system
gb = constitutive_nonlocal_Gmod(myInstance) * constitutive_nonlocal_burgersBySlipSystem(s,myInstance) / (2.0_pReal*pi)
sigma(2,2) = - gb * neighboring_Nedge(s) / (1.0_pReal-constitutive_nonlocal_nu(myInstance)) &
* z * (3.0_pReal*y**2.0_pReal + z**2.0_pReal) / (y**2.0_pReal + z**2.0_pReal)**2.0_pReal
sigma(3,3) = gb * neighboring_Nedge(s) / (1.0_pReal-constitutive_nonlocal_nu(myInstance)) &
* z * (y**2.0_pReal - z**2.0_pReal) / (y**2.0_pReal + z**2.0_pReal)**2.0_pReal
sigma(1,1) = constitutive_nonlocal_nu(myInstance) * (sigma(2,2) + sigma(3,3))
sigma(1,2) = gb * neighboring_Nscrew(s) * z / (x**2.0_pReal + z**2.0_pReal)
sigma(2,3) = gb * ( neighboring_Nedge(s) / (1.0_pReal-constitutive_nonlocal_nu(myInstance)) &
* (y**2.0_pReal - z**2.0_pReal) / (y**2.0_pReal + z**2.0_pReal) &
- neighboring_Nscrew(s) * x / (x**2.0_pReal + z**2.0_pReal) )
sigma(2,1) = sigma(1,2)
sigma(3,2) = sigma(2,3)
sigma(1,3) = 0.0_pReal
sigma(3,1) = 0.0_pReal
! coordinate transformation from the slip coordinate system to the lattice coordinate system
backStress_v = backStress_v + math_Mandel33to6( math_mul33x33(math_transpose3x3(transform), math_mul33x33(sigma, transform) ) )
enddo
enddo
!**********************************************************************
!*** set dependent states
state(g,ip,el)%p(4*ns+1:5*ns) = rhoForest
state(g,ip,el)%p(5*ns+1:6*ns) = tauSlipThreshold
state(g,ip,el)%p(6*ns+1:6*ns+6) = backstress_v
endsubroutine
!*********************************************************************
!* calculates plastic velocity gradient and its tangent *
!*********************************************************************
subroutine constitutive_nonlocal_LpAndItsTangent(Lp, dLp_dTstar99, Tstar_v, Temperature, state, g, ip, el)
use prec, only: pReal, &
pInt, &
p_vec
use math, only: math_Plain3333to99, &
math_mul6x6, &
math_Mandel6to33
use debug, only: debugger
use mesh, only: mesh_NcpElems, &
mesh_maxNips
use material, only: homogenization_maxNgrains, &
material_phase, &
phase_constitutionInstance
use lattice, only: lattice_Sslip, &
lattice_Sslip_v
implicit none
!*** input variables
integer(pInt), intent(in) :: g, & ! current grain number
ip, & ! current integration point
el ! current element number
real(pReal), intent(in) :: Temperature ! temperature
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
state ! microstructural state
real(pReal), dimension(6), intent(in) :: Tstar_v ! 2nd Piola-Kirchhoff stress in Mandel notation
!*** output variables
real(pReal), dimension(3,3), intent(out) :: Lp ! plastic velocity gradient
real(pReal), dimension(9,9), intent(out) :: dLp_dTstar99 ! derivative of Lp with respect to Tstar (9x9 matrix)
!*** local variables
integer(pInt) myInstance, & ! current instance of this constitution
myStructure, & ! current lattice structure
ns, & ! short notation for the total number of active slip systems
i, &
j, &
k, &
l, &
t, & ! dislocation type
s, & ! index of my current slip system
sLattice ! index of my current slip system as specified by lattice
real(pReal), dimension(6) :: backStress_v ! backstress resulting from the neighboring excess dislocation densities as 2nd Piola-Kirchhoff stress
real(pReal), dimension(3,3,3,3) :: dLp_dTstar3333 ! derivative of Lp with respect to Tstar (3x3x3x3 matrix)
real(pReal), dimension(4,constitutive_nonlocal_totalNslip(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
rho ! dislocation densities
real(pReal), dimension(constitutive_nonlocal_totalNslip(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
rhoForest, & ! forest dislocation density
tauSlipThreshold, & ! threshold shear stress
tauSlip, & ! resolved shear stress
gdotSlip, & ! shear rate
dgdot_dtauSlip, & ! derivative of the shear rate with respect to the shear stress
v ! dislocation velocity
!*** initialize local variables
v = 0.0_pReal
tauSlip = 0.0_pReal
gdotSlip = 0.0_pReal
Lp = 0.0_pReal
dLp_dTstar3333 = 0.0_pReal
myInstance = phase_constitutionInstance(material_phase(g,ip,el))
myStructure = constitutive_nonlocal_structure(myInstance)
ns = constitutive_nonlocal_totalNslip(myInstance)
!*** shortcut to state variables
forall (t = 1:4) rho(t,:) = state(g,ip,el)%p((t-1)*ns+1:t*ns)
rhoForest = state(g,ip,el)%p(4*ns+1:5*ns)
tauSlipThreshold = state(g,ip,el)%p(5*ns+1:6*ns)
backStress_v = state(g,ip,el)%p(6*ns+1:6*ns+6)
! if (debugger) write(6,'(a20,3(i3,x),/,3(3(f12.3,x)/))') 'backstress / MPa at ', g,ip,el, math_Mandel6to33(backStress_v/1e6)
! if (debugger) write(6,'(a15,3(i3,x),/,3(3(f12.3,x)/))') 'Tstar / MPa at ',g,ip,el, math_Mandel6to33(Tstar_v/1e6)
!*** loop over slip systems
do s = 1,constitutive_nonlocal_totalNslip(myInstance)
sLattice = constitutive_nonlocal_slipSystemLattice(s,myInstance)
!*** Calculation of Lp
tauSlip(s) = math_mul6x6( Tstar_v + backStress_v, lattice_Sslip_v(:,sLattice,myStructure) )
if (rhoForest(s) > 0.0_pReal) &
v(s) = constitutive_nonlocal_v0BySlipSystem(s,myInstance) &
* exp( - ( tauSlipThreshold(s) - abs(tauSlip(s)) ) * constitutive_nonlocal_burgersBySlipSystem(s,myInstance)**2.0_pReal &
/ ( kB * Temperature * sqrt(rhoForest(s)) ) ) &
* sign(1.0_pReal,tauSlip(s))
gdotSlip(s) = sum(rho(:,s)) * constitutive_nonlocal_burgersBySlipSystem(s,myInstance) * v(s)
Lp = Lp + gdotSlip(s) * lattice_Sslip(:,:,sLattice,myStructure)
!*** Calculation of the tangent of Lp
dgdot_dtauSlip(s) = gdotSlip(s) * constitutive_nonlocal_burgersBySlipSystem(s,myInstance)**2.0_pReal &
/ ( kB * Temperature * sqrt(rhoForest(s)) )
forall (i=1:3,j=1:3,k=1:3,l=1:3) &
dLp_dTstar3333(i,j,k,l) = dLp_dTstar3333(i,j,k,l) + dgdot_dtauSlip(s) * lattice_Sslip(i,j, sLattice,myStructure) &
* lattice_Sslip(k,l, sLattice,myStructure)
enddo
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
dLp_dTstar99 = math_Plain3333to99(dLp_dTstar3333)
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
!if (debugger) write(6,'(a26,3(i3,x),/,12(f10.3,x),/)') 'tauSlipThreshold / MPa at ',g,ip,el, tauSlipThreshold/1e6
!if (debugger) write(6,'(a15,3(i3,x),/,12(f10.3,x),/)') 'tauSlip / MPa at ',g,ip,el, tauSlip/1e6
!if (debugger) write(6,'(a15,3(i3,x),/,12(e10.3,x),/)') 'gdotSlip at ',g,ip,el, gdotSlip
endsubroutine
!*********************************************************************
!* rate of change of microstructure *
!*********************************************************************
subroutine constitutive_nonlocal_dotState(dotState, Tstar_v, Fp, invFp, Temperature, state, g, ip, el)
use prec, only: pReal, &
pInt, &
p_vec
use debug, only: debugger
use math, only: math_norm3, &
math_mul6x6, &
math_mul3x3, &
math_mul33x3, &
math_transpose3x3
use mesh, only: mesh_NcpElems, &
mesh_maxNips, &
mesh_element, &
FE_NipNeighbors, &
mesh_ipNeighborhood, &
mesh_ipVolume, &
mesh_ipArea, &
mesh_ipAreaNormal
use material, only: homogenization_maxNgrains, &
material_phase, &
phase_constitutionInstance
use lattice, only: lattice_Sslip, &
lattice_Sslip_v, &
lattice_sd, &
lattice_sn, &
lattice_st, &
lattice_maxNslipFamily, &
lattice_NslipSystem
implicit none
!*** input variables
integer(pInt), intent(in) :: g, & ! current grain number
ip, & ! current integration point
el ! current element number
real(pReal), intent(in) :: Temperature ! temperature
real(pReal), dimension(6), intent(in) :: Tstar_v ! 2nd Piola-Kirchhoff stress in Mandel notation
real(pReal), dimension(3,3), intent(in) :: Fp, & ! plastic deformation gradient
invFp ! inverse of plastic deformation gradient
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
state ! microstructural state
!*** input/output variables
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(inout) :: &
dotState ! evolution of state variables / microstructure
!*** output variables
!*** local variables
integer(pInt) myInstance, & ! current instance of this constitution
myStructure, & ! current lattice structure
ns, & ! short notation for the total number of active slip systems
neighboring_el, & ! element number of my neighbor
neighboring_ip, & ! integration point of my neighbor
n, & ! index of my current neighbor
t, & ! type of dislocation
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
s ! index of my current slip system
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
real(pReal), dimension(4,constitutive_nonlocal_totalNslip(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
rho, & ! dislocation densities
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
gdot, & ! shear rates
lineLength ! dislocation line length leaving the current interface
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
real(pReal), dimension(constitutive_nonlocal_totalNslip(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
rhoForest, & ! forest dislocation density
tauSlipThreshold, & ! threshold shear stress
tauSlip, & ! resolved shear stress
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
v, & ! dislocation velocity
invLambda ! inverse of mean free path for dislocations
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
real(pReal), dimension(3,4,constitutive_nonlocal_totalNslip(phase_constitutionInstance(material_phase(g,ip,el)))) :: &
m ! direction of dislocation motion
real(pReal), dimension(6) :: backStress_v ! backstress resulting from the neighboring excess dislocation densities as 2nd Piola-Kirchhoff stress
real(pReal), dimension(3) :: surfaceNormal ! surface normal of the current interface
real(pReal) norm_surfaceNormal, & ! euclidic norm of the surface normal
area ! area of the current interface
myInstance = phase_constitutionInstance(material_phase(g,ip,el))
myStructure = constitutive_nonlocal_structure(myInstance)
ns = constitutive_nonlocal_totalNslip(myInstance)
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
tauSlip = 0.0_pReal
v = 0.0_pReal
gdot = 0.0_pReal
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
!*** shortcut to state variables
forall (t = 1:4) rho(t,:) = state(g,ip,el)%p((t-1)*ns+1:t*ns)
rhoForest = state(g,ip,el)%p(4*ns+1:5*ns)
tauSlipThreshold = state(g,ip,el)%p(5*ns+1:6*ns)
backStress_v = state(g,ip,el)%p(6*ns+1:6*ns+6)
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
!****************************************************************************
!*** Calculate shear rate
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
do s = 1,ns
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
tauSlip(s) = math_mul6x6( Tstar_v + backStress_v, &
lattice_Sslip_v(:,constitutive_nonlocal_slipSystemLattice(s,myInstance),myStructure) )
forall (s = 1:ns, rhoForest(s) > 0.0_pReal) &
v(s) = constitutive_nonlocal_v0BySlipSystem(s,myInstance) &
* exp( - ( tauSlipThreshold(s) - abs(tauSlip(s)) ) * constitutive_nonlocal_burgersBySlipSystem(s,myInstance)**2.0_pReal &
/ ( kB * Temperature * sqrt(rhoForest(s)) ) ) &
* sign(1.0_pReal,tauSlip(s))
forall (t = 1:4, s = 1:ns) &
gdot(t,s) = rho(t,s) * constitutive_nonlocal_burgersBySlipSystem(s,myInstance) * v(s)
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
enddo
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
!****************************************************************************
!*** calculate dislocation multiplication
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
invLambda = sqrt(rhoForest) / constitutive_nonlocal_lambda0BySlipSystem(:,myInstance)
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
forall (t = 1:4, s = 1:ns) &
dotState(1,ip,el)%p((t-1)*ns+s) = dotState(1,ip,el)%p((t-1)*ns+s) + 0.25_pReal * sum(gdot(:,s)) * invLambda(s) &
/ constitutive_nonlocal_burgersBySlipSystem(s,myInstance)
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
!****************************************************************************
!*** calculate dislocation fluxes
! Direction of dislocation motion
m(:,1,:) = lattice_sd(:, constitutive_nonlocal_slipSystemLattice(:,myInstance), myStructure)
m(:,2,:) = -lattice_sd(:, constitutive_nonlocal_slipSystemLattice(:,myInstance), myStructure)
m(:,3,:) = lattice_st(:, constitutive_nonlocal_slipSystemLattice(:,myInstance), myStructure)
m(:,4,:) = -lattice_st(:, constitutive_nonlocal_slipSystemLattice(:,myInstance), myStructure)
! loop through my neighbors
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
do n = 1,FE_NipNeighbors(mesh_element(2,el))
neighboring_el = mesh_ipNeighborhood(1,n,ip,el)
neighboring_ip = mesh_ipNeighborhood(2,n,ip,el)
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
! calculate the area and the surface normal of the interface
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
surfaceNormal = math_mul33x3(math_transpose3x3(invFp), mesh_ipAreaNormal(:,n,ip,el))
norm_surfaceNormal = math_norm3(surfaceNormal)
surfaceNormal = surfaceNormal / norm_surfaceNormal
area = mesh_ipArea(n,ip,el) / norm_surfaceNormal
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
! loop through my interfaces
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
do s = 1,ns
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
lineLength = 0.0_pReal
! loop through dislocation types
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
do t = 1,4
if ( sign(1.0_pReal,math_mul3x3(m(:,t,s),surfaceNormal)) == sign(1.0_pReal,gdot(t,s)) ) then
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
! dislocation line length that leaves this interface per second
lineLength(t,s) = gdot(t,s) / constitutive_nonlocal_burgersBySlipSystem(s,myInstance) &
* math_mul3x3(m(:,t,s),surfaceNormal) * area
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
! subtract dislocation density rate (= line length over volume) that leaves through an interface from my dotState ...
dotState(1,ip,el)%p((t-1)*ns+s) = dotState(1,ip,el)%p((t-1)*ns+s) - lineLength(t,s) / mesh_ipVolume(ip,el)
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
! ... and add them to the neighboring dotState (if neighbor exists)
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
if ( neighboring_el > 0 .and. neighboring_ip > 0 ) then
!*****************************************************************************************************
!*** OMP locking for this neighbor missing
!*****************************************************************************************************
added dislocation multiplication to dotState in constitutive_nonlocal.f90 cleaned up debugging output statements to *.out file
2009-08-12 16:52:02 +05:30
dotState(1,neighboring_ip,neighboring_el)%p((t-1)*ns+s) = dotState(1,neighboring_ip,neighboring_el)%p((t-1)*ns+s) &
+ lineLength(t,s) / mesh_ipVolume(neighboring_ip,neighboring_el)
now with first draft of nonlocal constitutive law debugging memory leak closed debugging counters corrected center of gravity stored in mesh state updated is now split into a collecting loop and an execution updateState and updateTemperature fill sequentially separate logicals and evaluate afterwards to converged added 3x3 transposition function, norm for 3x1 matrix and 33x3 matrix multiplication in math non-converged crystallite triggers materialpoint cutback (used to respond elastically) non-converged materialpoint raises terminal illness which in turn renders whole FE increment useless by means of odd stress/stiffness and thus waits for FE cutback
2009-08-11 22:01:57 +05:30
endif
endif
enddo
enddo
enddo
endsubroutine
!*********************************************************************
!* rate of change of temperature *
!*********************************************************************
pure function constitutive_nonlocal_dotTemperature(Tstar_v,Temperature,state,g,ip,el)
use prec, only: pReal, &
pInt, &
p_vec
use mesh, only: mesh_NcpElems, &
mesh_maxNips
use material, only: homogenization_maxNgrains
implicit none
!* input variables
integer(pInt), intent(in) :: g, & ! current grain ID
ip, & ! current integration point
el ! current element
real(pReal), intent(in) :: Temperature ! temperature
real(pReal), dimension(6), intent(in) :: Tstar_v ! 2nd Piola-Kirchhoff stress in Mandel notation
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: &
state ! microstructural state
!* output variables
real(pReal) constitutive_nonlocal_dotTemperature ! evolution of Temperature
!* local variables
constitutive_nonlocal_dotTemperature = 0.0_pReal
endfunction
!*********************************************************************
!* return array of constitutive results *
!* INPUT: *
!* - Temperature : temperature *
!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
!* - dt : current time increment *
!* - ipc : component-ID at current integration point *
!* - ip : current integration point *
!* - el : current element *
!*********************************************************************
pure function constitutive_nonlocal_postResults(Tstar_v,Temperature,dt,state,ipc,ip,el)
use prec, only: pReal,pInt,p_vec
use mesh, only: mesh_NcpElems,mesh_maxNips
use material, only: homogenization_maxNgrains,material_phase,phase_constitutionInstance,phase_Noutput
use lattice, only: lattice_Sslip_v,lattice_Stwin_v,lattice_maxNslipFamily,lattice_maxNtwinFamily, &
lattice_NslipSystem,lattice_NtwinSystem,lattice_shearTwin
implicit none
!* Definition of variables
integer(pInt), intent(in) :: ipc,ip,el
real(pReal), intent(in) :: dt,Temperature
real(pReal), dimension(6), intent(in) :: Tstar_v
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems), intent(in) :: state
integer(pInt) matID,structID,ns,nt,f,o,i,c,j,index_myFamily
real(pReal) sumf,tau
real(pReal), dimension(constitutive_nonlocal_sizePostResults(phase_constitutionInstance(material_phase(ipc,ip,el)))) :: &
constitutive_nonlocal_postResults
!* Shortened notation
matID = phase_constitutionInstance(material_phase(ipc,ip,el))
structID = constitutive_nonlocal_structure(matID)
ns = constitutive_nonlocal_totalNslip(matID)
!* Required output
c = 0_pInt
constitutive_nonlocal_postResults = 0.0_pReal
do o = 1,phase_Noutput(material_phase(ipc,ip,el))
select case(constitutive_nonlocal_output(o,matID))
case ('dislocationdensity')
constitutive_nonlocal_postResults(c+1:c+ns) = state(ipc,ip,el)%p(1:ns)
c = c + ns
end select
enddo
endfunction
END MODULE