DAMASK_EICMD/trunk/constitutive_pheno.f90

932 lines
37 KiB
Fortran

!************************************
!* Module: CONSTITUTIVE *
!************************************
!* contains: *
!* - constitutive equations *
!* - parameters definition *
!* - orientations *
!************************************
MODULE constitutive
!*** Include other modules ***
use prec, only: pReal,pInt
implicit none
! MISSING consistency check after reading 'mattex.mpie'
character(len=300), parameter :: mattexFile = 'mattex.mpie'
!*************************************
!* Definition of material properties *
!*************************************
!* Number of materials
integer(pInt) material_maxN
!* Crystal structure and number of selected slip systems per material
integer(pInt), dimension(:) , allocatable :: material_CrystalStructure
integer(pInt), dimension(:) , allocatable :: material_Nslip
!* Maximum number of selected slip systems over materials
integer(pInt) material_maxNslip
!* Elastic constants and matrices
real(pReal), dimension(:) , allocatable :: material_C11
real(pReal), dimension(:) , allocatable :: material_C12
real(pReal), dimension(:) , allocatable :: material_C13
real(pReal), dimension(:) , allocatable :: material_C33
real(pReal), dimension(:) , allocatable :: material_C44
real(pReal), dimension(:,:,:), allocatable :: material_Cslip_66
!* Visco-plastic material parameters
real(pReal), dimension(:) , allocatable :: material_s0_slip
real(pReal), dimension(:) , allocatable :: material_gdot0_slip
real(pReal), dimension(:) , allocatable :: material_n_slip
real(pReal), dimension(:) , allocatable :: material_h0
real(pReal), dimension(:) , allocatable :: material_s_sat
real(pReal), dimension(:) , allocatable :: material_w0
real(pReal), dimension(:,:) , allocatable :: material_SlipIntCoeff
!* GIA material parameters
real(pReal), dimension(:,:) , allocatable :: material_AspectRatio
real(pReal), dimension(:) , allocatable :: material_GrainSize
real(pReal), dimension(:) , allocatable :: material_bg
!************************************
!* Definition of texture properties *
!************************************
!* Number of textures, maximum number of Gauss and Fiber components
integer(pInt) texture_maxN
integer(pInt) texture_maxNGauss
integer(pInt) texture_maxNFiber
!* Textures definition
character(len=80), dimension(:), allocatable :: texture_ODFfile
character(len=80), dimension(:), allocatable :: texture_symmetry
integer(pInt), dimension(:) , allocatable :: texture_Ngrains
integer(pInt), dimension(:) , allocatable :: texture_NGauss
integer(pInt),dimension(:) , allocatable :: texture_NFiber
integer(pInt),dimension(:) , allocatable :: texture_NRandom
integer(pInt),dimension(:) , allocatable :: texture_totalNgrains
real(pReal), dimension(:,:,:) , allocatable :: texture_Gauss
real(pReal), dimension(:,:,:) , allocatable :: texture_Fiber
real(pReal), dimension(:,:,:,:), allocatable :: constitutive_EulerAngles
!************************************
!* Grains *
!************************************
integer(pInt) constitutive_maxNgrains
integer(pInt), dimension(:,:) , allocatable :: constitutive_Ngrains
integer(pInt), dimension(:,:,:) , allocatable :: constitutive_matID
real(pReal), dimension(:,:,:) , allocatable :: constitutive_matVolFrac
integer(pInt), dimension(:,:,:) , allocatable :: constitutive_texID
real(pReal), dimension(:,:,:) , allocatable :: constitutive_texVolFrac
!************************************
!* State variables *
!************************************
logical :: wantsConstitutiveResults = .false.
integer(pInt) constitutive_maxNstatevars
integer(pInt), dimension(:,:,:) , allocatable :: constitutive_Nstatevars
real(pReal), dimension(:,:,:,:) , allocatable :: constitutive_state_old
real(pReal), dimension(:,:,:,:) , allocatable :: constitutive_state_new
!************************************
!* Hardening matrices *
!************************************
real(pReal), dimension(:,:,:), allocatable :: constitutive_HardeningMatrix
!************************************
!* Results *
!************************************
integer(pInt) constitutive_maxNresults
integer(pInt), dimension(:,:,:), allocatable :: constitutive_Nresults
CONTAINS
!****************************************
!* - constitutive_Init
!* - constitutive_CountSections
!* - constitutive_Parse_UnknownPart
!* - constitutive_Parse_MaterialPart
!* - constitutive_Parse_TexturePart
!* - constitutive_Parse_MatTexDat
!* - constitutive_Assignment
!* - constitutive_HomogenizedC
!* - constitutive_Microstructure
!* - constitutive_LpAndItsTangent
!* - consistutive_DotState
!****************************************
subroutine constitutive_Init()
!**************************************
!* Module initialization *
!**************************************
call constitutive_Parse_MatTexDat(mattexFile)
call constitutive_Assignment()
end subroutine
subroutine constitutive_CountSections(file,count,part)
!*********************************************************************
!* This subroutine reads a "part" from the input file until the next *
!* part is reached and counts the number of "sections" in the part *
!* INPUT: *
!* - file : file ID *
!* OUTPUT: *
!* - part : name of the next "part" *
!* - count : number of sections inside the current "part" *
!*********************************************************************
use prec, only: pInt
use IO, only: IO_stringPos,IO_stringValue,IO_lc
implicit none
!* Definition of variables
character(len=80) part,line,tag
integer(pInt) file,count
integer(pInt), dimension(3) :: positions
count=0
part=''
do
read(file,'(a80)',END=100) line
positions=IO_stringPos(line,1)
tag=IO_lc(IO_stringValue(line,positions,1))
if (tag(1:1)=='#' .OR. positions(1)==0) then ! skip comment and empty lines
cycle
elseif (tag(1:1)=='<'.AND.tag(len_trim(tag):len_trim(tag))=='>') then
part=tag(2:len_trim(tag)-1)
exit
elseif (tag(1:1)=='[') then
count=count+1
endif
enddo
100 return
end subroutine
character(len=80) function constitutive_assignNGaussAndFiber(file)
!*********************************************************************
!*********************************************************************
use prec, only: pInt
use IO, only: IO_stringPos,IO_stringValue,IO_lc
implicit none
!* Definition of variables
character(len=80) line,tag
integer(pInt) file,section
integer(pInt), dimension(3) :: positions
constitutive_assignNGaussAndFiber=''
section = 0_pInt
do
read(file,'(a80)',END=100) line
positions=IO_stringPos(line,1)
tag=IO_lc(IO_stringValue(line,positions,1))
if (tag(1:1)=='#' .OR. positions(1)==0) then ! skip comment and empty lines
cycle
elseif (tag(1:1)=='<'.AND.tag(len_trim(tag):len_trim(tag))=='>') then
constitutive_assignNGaussAndFiber=tag(2:len_trim(tag)-1)
exit
elseif (tag(1:1)=='[') then
section=section+1
texture_NGauss(section) = 0_pInt
texture_NFiber(section) = 0_pInt
elseif (tag=='(gauss)') then
texture_NGauss(section)=texture_NGauss(section)+1
elseif (tag=='(fiber)') then
texture_NFiber(section)=texture_NFiber(section)+1
endif
enddo
100 return
end function
character(len=80) function constitutive_Parse_UnknownPart(file)
!*********************************************************************
!* read an unknown "part" from the input file until *
!* the next part is reached *
!* INPUT: *
!* - file : file ID *
!*********************************************************************
use prec, only: pInt
use IO, only: IO_stringPos,IO_stringValue,IO_lc
implicit none
!* Definition of variables
character(len=80) line,tag
integer(pInt), parameter :: maxNchunks = 1
integer(pInt) file
integer(pInt), dimension(1+2*maxNchunks) :: positions
constitutive_parse_unknownPart=''
do
read(file,'(a80)',END=100) line
positions=IO_stringPos(line,maxNchunks)
tag=IO_lc(IO_stringValue(line,positions,1))
if (tag(1:1)=='#' .OR. positions(1)==0) then ! skip comment and empty lines
cycle
elseif (tag(1:1)=='<'.AND.tag(len_trim(tag):len_trim(tag))=='>') then
constitutive_Parse_UnknownPart=tag(2:len_trim(tag)-1)
exit
endif
enddo
100 return
end function
character(len=80) function constitutive_Parse_MaterialPart(file)
!*********************************************************************
!* This function reads a material "part" from the input file until *
!* the next part is reached *
!* INPUT: *
!* - file : file ID *
!*********************************************************************
use prec, only: pInt
use IO
implicit none
!* Definition of variables
character(len=80) line,tag
integer(pInt) i
integer(pInt), parameter :: maxNchunks = 3
integer(pInt) file,section
integer(pInt), dimension(1+2*maxNchunks) :: positions
section = 0
constitutive_parse_materialPart = ''
do while(.true.)
read(file,'(a80)',END=100) line
positions=IO_stringPos(line,maxNchunks) ! parse leading chunks
tag=IO_lc(IO_stringValue(line,positions,1))
if (tag(1:1)=='#' .OR. positions(1)==0) then ! skip comment and empty lines
cycle
elseif (tag(1:1)=='<'.AND.tag(len_trim(tag):len_trim(tag))=='>') then
constitutive_parse_materialPart=tag(2:len_trim(tag)-1)
exit
elseif (tag(1:1)=='[') then
section=section+1
else
if (section>0) then
select case(tag)
case ('lattice_structure')
material_CrystalStructure(section)=IO_intValue(line,positions,2)
case ('nslip')
material_Nslip(section)=IO_intValue(line,positions,2)
case ('c11')
material_C11(section)=IO_floatValue(line,positions,2)
case ('c12')
material_C12(section)=IO_floatValue(line,positions,2)
case ('c13')
material_C13(section)=IO_floatValue(line,positions,2)
case ('c33')
material_C33(section)=IO_floatValue(line,positions,2)
case ('c44')
material_C44(section)=IO_floatValue(line,positions,2)
case ('s0_slip')
material_s0_slip(section)=IO_floatValue(line,positions,2)
case ('gdot0_slip')
material_gdot0_slip(section)=IO_floatValue(line,positions,2)
case ('n_slip')
material_n_slip(section)=IO_floatValue(line,positions,2)
case ('h0')
material_h0(section)=IO_floatValue(line,positions,2)
case ('s_sat')
material_s_sat(section)=IO_floatValue(line,positions,2)
case ('w0')
material_w0(section)=IO_floatValue(line,positions,2)
case ('hardening_coefficients')
do i=1,2
material_SlipIntCoeff(i,section)=IO_floatValue(line,positions,i+1)
enddo
case ('grain_size')
material_GrainSize(section)=IO_floatValue(line,positions,2)
case ('burgers')
material_bg(section)=IO_floatValue(line,positions,2)
case ('grain_aspect_ratio')
do i=1,2
material_AspectRatio(i,section)=IO_floatValue(line,positions,i+1)
enddo
end select
endif
endif
enddo
100 return
end function
character(len=80) function constitutive_Parse_TexturePart(file)
!*********************************************************************
!* This function reads a texture "part" from the input file until *
!* the next part is reached *
!* INPUT: *
!* - file : file ID *
!*********************************************************************
use prec, only: pInt
use IO
use math, only: inRad
implicit none
!* Definition of variables
character(len=80) line,tag
integer(pInt), parameter :: maxNchunks = 13 ! may be more than 10 chunks ..?
integer(pInt) file,section,gaussCount,fiberCount,i
integer(pInt), dimension(1+2*maxNchunks) :: positions
section = 0
gaussCount = 0
fiberCount = 0
constitutive_parse_texturePart = ''
do while(.true.)
read(file,'(a80)',END=100) line
positions=IO_stringPos(line,maxNchunks) ! parse leading chunks
tag=IO_lc(IO_stringValue(line,positions,1))
if (tag(1:1)=='#' .OR. positions(1)==0) then ! skip comment and empty lines
cycle
elseif (tag(1:1)=='<'.AND.tag(len_trim(tag):len_trim(tag))=='>') then
constitutive_parse_texturePart=tag(2:len_trim(tag)-1)
exit
elseif (tag(1:1)=='[') then
section=section+1
gaussCount=0
fiberCount=0
else
if (section>0) then
select case(tag)
case ('hybridia')
texture_ODFfile(section)=IO_stringValue(line,positions,2)
case ('(gauss)')
gaussCount=gaussCount+1
do i=2,10,2
tag=IO_lc(IO_stringValue(line,positions,i))
select case (tag)
case('phi1')
texture_Gauss(1,gaussCount,section)=IO_floatValue(line,positions,i+1)*inRad
case('phi')
texture_Gauss(2,gaussCount,section)=IO_floatValue(line,positions,i+1)*inRad
case('phi2')
texture_Gauss(3,gaussCount,section)=IO_floatValue(line,positions,i+1)*inRad
case('scatter')
texture_Gauss(4,gaussCount,section)=IO_floatValue(line,positions,i+1)*inRad
case('fraction')
texture_Gauss(5,gaussCount,section)=IO_floatValue(line,positions,i+1)
end select
enddo
case ('(fiber)')
fiberCount=fiberCount+1
do i=2,12,2
tag=IO_lc(IO_stringValue(line,positions,i))
select case (tag)
case('alpha1')
texture_fiber(1,fiberCount,section)=IO_floatValue(line,positions,i+1)*inRad
case('alpha2')
texture_fiber(2,fiberCount,section)=IO_floatValue(line,positions,i+1)*inRad
case('beta1')
texture_fiber(3,fiberCount,section)=IO_floatValue(line,positions,i+1)*inRad
case('beta2')
texture_fiber(4,fiberCount,section)=IO_floatValue(line,positions,i+1)*inRad
case('scatter')
texture_fiber(5,fiberCount,section)=IO_floatValue(line,positions,i+1)*inRad
case('fraction')
texture_fiber(6,fiberCount,section)=IO_floatValue(line,positions,i+1)
end select
enddo
case ('ngrains')
texture_Ngrains(section)=IO_intValue(line,positions,2)
case ('symmetry')
texture_symmetry(section)=IO_stringValue(line,positions,2)
end select
endif
endif
enddo
100 return
end function
subroutine constitutive_Parse_MatTexDat(filename)
!*********************************************************************
!* This function reads the material and texture input file *
!* INPUT: *
!* - filename : name of input file *
!*********************************************************************
use prec, only: pReal,pInt
use IO, only: IO_error, IO_open_file
use math, only: math_Mandel3333to66, math_Voigt66to3333
use lattice, only: lattice_SlipIntType
implicit none
!* Definition of variables
character(len=*) filename
character(len=80) part,formerPart
integer(pInt) sectionCount,i,j,k, fileunit
! set fileunit
fileunit=200
!-----------------------------
!* First reading: number of materials and textures
!-----------------------------
!* determine material_maxN and texture_maxN from last respective parts
if(.not. IO_open_file(fileunit,filename)) call IO_error (200) ! corrupt mattex file
part = '_dummy_'
do while (part/='')
formerPart = part
call constitutive_CountSections(fileunit,sectionCount,part)
select case (formerPart)
case ('materials')
material_maxN = sectionCount
case ('textures')
texture_maxN = sectionCount
end select
enddo
!* Array allocation
allocate(material_CrystalStructure(material_maxN)) ; material_CrystalStructure=0_pInt
allocate(material_Nslip(material_maxN)) ; material_Nslip=0_pInt
allocate(material_C11(material_maxN)) ; material_C11=0.0_pReal
allocate(material_C12(material_maxN)) ; material_C12=0.0_pReal
allocate(material_C13(material_maxN)) ; material_C13=0.0_pReal
allocate(material_C33(material_maxN)) ; material_C33=0.0_pReal
allocate(material_C44(material_maxN)) ; material_C44=0.0_pReal
allocate(material_Cslip_66(6,6,material_maxN)) ; material_Cslip_66=0.0_pReal
allocate(material_s0_slip(material_maxN)) ; material_s0_slip=0.0_pReal
allocate(material_gdot0_slip(material_maxN)) ; material_gdot0_slip=0.0_pReal
allocate(material_n_slip(material_maxN)) ; material_n_slip=0.0_pReal
allocate(material_h0(material_maxN)) ; material_h0=0.0_pReal
allocate(material_s_sat(material_maxN)) ; material_s_sat=0.0_pReal
allocate(material_w0(material_maxN)) ; material_w0=0.0_pReal
allocate(material_SlipIntCoeff(maxval(lattice_SlipIntType),material_maxN)) ; material_SlipIntCoeff=0.0_pReal
allocate(material_GrainSize(material_maxN)) ; material_GrainSize=0.0_pReal
allocate(material_bg(material_maxN)) ; material_bg=0.0_pReal
allocate(material_AspectRatio(2,material_maxN)) ; material_AspectRatio=0.0_pReal
allocate(texture_ODFfile(texture_maxN)) ; texture_ODFfile=''
allocate(texture_Ngrains(texture_maxN)) ; texture_Ngrains=0_pInt
allocate(texture_symmetry(texture_maxN)) ; texture_symmetry=''
allocate(texture_NGauss(texture_maxN)) ; texture_NGauss=0_pInt
allocate(texture_NFiber(texture_maxN)) ; texture_NFiber=0_pInt
allocate(texture_NRandom(texture_maxN)) ; texture_NRandom=0_pInt
!-----------------------------
!* Second reading: number of Gauss and Fiber
!-----------------------------
rewind(fileunit)
part = '_dummy_'
do while (part/='')
select case (part)
case ('textures')
part = constitutive_assignNGaussAndFiber(fileunit)
case default
part = constitutive_Parse_UnknownPart(fileunit)
end select
enddo
!* Array allocation
texture_maxNGauss=maxval(texture_NGauss)
texture_maxNFiber=maxval(texture_NFiber)
allocate(texture_Gauss(5,texture_maxNGauss,texture_maxN)) ; texture_Gauss=0.0_pReal
allocate(texture_Fiber(6,texture_maxNFiber,texture_maxN)) ; texture_Fiber=0.0_pReal
!-----------------------------
!* Third reading: materials and textures are stored
!-----------------------------
rewind(fileunit)
part='_dummy_'
do while (part/='')
select case (part)
case ('materials')
part=constitutive_Parse_MaterialPart(fileunit)
case ('textures')
part=constitutive_Parse_TexturePart(fileunit)
case default
part=constitutive_Parse_UnknownPart(fileunit)
end select
enddo
close(fileunit)
!*
do i=1,material_maxN
write(6,*) 'echo: material(',i,')'
write(6,*) 'lattice_structure',material_CrystalStructure(i)
write(6,*) 'nslip',material_Nslip(i)
write(6,*) 'c11',material_C11(i)
write(6,*) 'c12',material_C12(i)
write(6,*) 'c13',material_C13(i)
write(6,*) 'c33',material_C33(i)
write(6,*) 'c44',material_C44(i)
write(6,*) 's0_slip',material_s0_slip(i)
write(6,*) 'gdot0_slip',material_gdot0_slip(i)
write(6,*) 'n_slip',material_n_slip(i)
write(6,*) 'h0',material_h0(i)
write(6,*) 's_sat',material_s_sat(i)
write(6,*) 'w0',material_w0(i)
write(6,*) 'hardening_coefficients',material_SlipIntCoeff(1,i),material_SlipIntCoeff(2,i)
write(6,*) 'grain_size',material_GrainSize(i)
write(6,*) 'burgers',material_bg(i)
write(6,*) 'grain_aspect_ratio',material_AspectRatio(1,i),material_AspectRatio(2,i)
enddo
!* Construction of the elasticity matrices
do i=1,material_maxN
select case (material_CrystalStructure(i))
case(1:2) ! cubic(s)
forall(k=1:3)
forall(j=1:3)
material_Cslip_66(k,j,i)=material_C12(i)
endforall
material_Cslip_66(k,k,i)=material_C11(i)
material_Cslip_66(k+3,k+3,i)=material_C44(i)
endforall
case(3) ! hcp
material_Cslip_66(1,1,i)=material_C11(i)
material_Cslip_66(2,2,i)=material_C11(i)
material_Cslip_66(3,3,i)=material_C33(i)
material_Cslip_66(1,2,i)=material_C12(i)
material_Cslip_66(2,1,i)=material_C12(i)
material_Cslip_66(1,3,i)=material_C13(i)
material_Cslip_66(3,1,i)=material_C13(i)
material_Cslip_66(2,3,i)=material_C13(i)
material_Cslip_66(3,2,i)=material_C13(i)
material_Cslip_66(4,4,i)=material_C44(i)
material_Cslip_66(5,5,i)=material_C44(i)
material_Cslip_66(6,6,i)=0.5_pReal*(material_C11(i)-material_C12(i))
end select
material_Cslip_66(:,:,i) = math_Mandel3333to66(math_Voigt66to3333(material_Cslip_66(:,:,i)))
! Check
enddo
! MISSING some consistency checks may be..?
! if ODFfile present then set NGauss NFiber =0
return
end subroutine
subroutine constitutive_Assignment()
!*********************************************************************
!* This subroutine assign material parameters according to ipc,ip,el *
!*********************************************************************
use prec, only: pReal,pInt
use math, only: math_sampleGaussOri,math_sampleFiberOri,math_sampleRandomOri,math_symmetricEulers,math_EulerToR
use mesh, only: mesh_NcpElems,FE_Nips,mesh_maxNips,mesh_element
use IO, only: IO_hybridIA
use lattice, only: lattice_SlipIntType
implicit none
!* Definition of variables
integer(pInt) e,i,j,k,l,m,o,g,s
integer(pInt) matID,texID
integer(pInt), dimension(texture_maxN) :: Ncomponents,Nsym,multiplicity,ODFmap,sampleCount
real(pReal), dimension(:,:,:), allocatable :: hybridIA_population
real(pReal), dimension(3,4*(1+texture_maxNGauss+texture_maxNfiber)) :: Euler
real(pReal), dimension(4*(1+texture_maxNGauss+texture_maxNfiber)) :: texVolfrac
real(pReal), dimension(texture_maxN) :: sumVolfrac
! process textures
o = 0_pInt ! ODF counter
ODFmap = 0_pInt ! blank mapping
sampleCount = 0_pInt ! count orientations assigned per texture
do texID=1,texture_maxN
select case (texture_symmetry(texID)) ! set symmetry factor
case ('orthotropic')
Nsym(texID) = 4_pInt
case ('monoclinic')
Nsym(texID) = 2_pInt
case default
Nsym(texID) = 1_pInt
end select
if (texture_ODFfile(texID)=='') then ! texture components
sumVolfrac(texID) = sum(texture_gauss(5,:,texID))+sum(texture_fiber(6,:,texID))
if (sumVolfrac(texID)<1.0_pReal) texture_NRandom(texID) = 1_pInt ! check whether random component missing
Ncomponents(texID) = texture_NGauss(texID)+texture_NFiber(texID)+texture_NRandom(texID)
else ! hybrid IA
o = o+1
ODFmap(texID) = o ! remember mapping
Ncomponents(texID) = 1_pInt ! single "component"
endif
! adjust multiplicity and number of grains per IP of components
multiplicity(texID) = max(1_pInt,texture_Ngrains(texID)/Ncomponents(texID)/Nsym(texID))
if (mod(texture_Ngrains(texID),Ncomponents(texID)*Nsym(texID)) /= 0_pInt) then
texture_Ngrains(texID) = multiplicity(texID)*Ncomponents(texID)*Nsym(texID)
!$OMP CRITICAL (write2out)
write (6,*) 'changed Ngrains to',texture_Ngrains(texID),' for texture',texID
!$OMP END CRITICAL (write2out)
endif
enddo
!* publish globals
constitutive_maxNgrains = maxval(texture_Ngrains)
material_maxNslip = maxval(material_Nslip) ! max # of slip systems among materials present
constitutive_maxNstatevars = material_maxNslip + 0_pInt
!* calc texture_totalNgrains
allocate(texture_totalNgrains(texture_maxN)) ; texture_totalNgrains=0_pInt
do i=1,mesh_NcpElems
texID = mesh_element(4,i)
texture_totalNgrains(texID) = texture_totalNgrains(texID) + FE_Nips(mesh_element(2,i))*texture_Ngrains(texID)
enddo
! generate hybridIA samplings for ODFfile textures to later draw from these populations
allocate(hybridIA_population(3,maxval(texture_totalNgrains/Nsym,ODFmap /= 0),o))
do texID = 1,texture_maxN
if (ODFmap(texID) > 0) then
!$OMP CRITICAL (write2out)
write (6,*) 'hybridIA',texture_totalNgrains(texID)/Nsym(texID),texture_ODFfile(texID)
!$OMP END CRITICAL (write2out)
hybridIA_population(:,:,ODFmap(texID)) = IO_hybridIA(texture_totalNgrains(texID)/Nsym(texID),texture_ODFfile(texID))
endif
enddo
!* Array allocation
allocate(constitutive_Ngrains(mesh_maxNips,mesh_NcpElems)) ; constitutive_Ngrains=0_pInt
allocate(constitutive_matID(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_matID=0_pInt
allocate(constitutive_texID(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_texID=0_pInt
allocate(constitutive_MatVolFrac(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_MatVolFrac=0.0_pReal
allocate(constitutive_TexVolFrac(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_TexVolFrac=0.0_pReal
allocate(constitutive_EulerAngles(3,constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_EulerAngles=0.0_pReal
allocate(constitutive_Nresults(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_Nresults=0_pInt
allocate(constitutive_Nstatevars(constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems)) ; constitutive_Nstatevars=0_pInt
allocate(constitutive_state_old(constitutive_maxNstatevars,constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems))
constitutive_state_old=0.0_pReal
allocate(constitutive_state_new(constitutive_maxNstatevars,constitutive_maxNgrains,mesh_maxNips,mesh_NcpElems))
constitutive_state_new=0.0_pReal
allocate(constitutive_HardeningMatrix(material_maxNslip,material_maxNslip,material_maxN))
constitutive_HardeningMatrix=0.0_pReal
!* Assignment of all grains in all IPs of all cp-elements
do e=1,mesh_NcpElems
matID=mesh_element(3,e)
texID=mesh_element(4,e)
do i=1,FE_Nips(mesh_element(2,e))
g = 0_pInt ! grain counter
do m = 1,multiplicity(texID)
o = 0_pInt ! component counter
if (texture_ODFfile(texID)=='') then
do k = 1,texture_nGauss(texID) ! *** gauss ***
o = o+1
Euler(:,o) = math_sampleGaussOri(texture_Gauss(1:3,k,texID),texture_Gauss(4,k,texID))
texVolFrac(o) = texture_Gauss(5,k,texID)
enddo
do k = 1,texture_nFiber(texID) ! *** fiber ***
o = o+1
Euler(:,o) = math_sampleFiberOri(texture_Fiber(1:2,k,texID),texture_Fiber(3:4,k,texID),texture_Fiber(5,k,texID))
texVolFrac(o) = texture_Fiber(6,k,texID)
enddo
do k = 1,texture_nRandom(texID) ! *** random ***
o = o+1
Euler(:,o) = math_sampleRandomOri()
texVolfrac(o) = 1.0_pReal-sumVolfrac(texID)
enddo
else ! *** hybrid IA ***
o = 1 ! only singular orientation, i.e. single "component"
Euler(:,o) = hybridIA_population(:,1+sampleCount(texID),ODFmap(texID))
texVolfrac(o) = 1.0_pReal
endif
if (Nsym(texID) > 1) then ! symmetry generates additional orientations
forall (k=1:o)
Euler(:,1+o+(Nsym(texID)-1)*(k-1):3+o+(Nsym(texID)-1)*(k-1)) = &
math_symmetricEulers(texture_symmetry(texID),Euler(:,k))
texVolfrac(1+o+(Nsym(texID)-1)*(k-1):3+o+(Nsym(texID)-1)*(k-1)) = texVolfrac(k)
end forall
endif
do s = 1,Nsym(texID)*o ! loop over orientations to be assigned to ip (ex multiplicity)
g = g+1 ! next "grain"
constitutive_matID(g,i,e) = matID ! copy matID of element
constitutive_texID(g,i,e) = texID ! copy texID of element
constitutive_MatVolFrac(g,i,e) = 1.0_pReal ! singular material (so far)
constitutive_TexVolFrac(g,i,e) = texVolfrac(s)/multiplicity(texID)/Nsym(texID)
constitutive_Nstatevars(g,i,e) = material_Nslip(matID) ! number of state variables (i.e. tau_c of each slip system)
! constitutive_Nresults(g,i,e) = 2*material_Nslip(matID) ! number of constitutive results (shears in this case)
constitutive_EulerAngles(:,g,i,e) = Euler(:,s) ! store initial orientation
forall (l=1:constitutive_Nstatevars(g,i,e)) ! initialize state variables
constitutive_state_old(l,g,i,e) = material_s0_slip(matID)
constitutive_state_new(l,g,i,e) = material_s0_slip(matID)
end forall
enddo ! components
sampleCount(texID) = sampleCount(texID)+1 ! next member of hybrid IA population
enddo ! multiplicity
enddo ! ip
enddo ! cp_element
!* Construction of the hardening matrices
do i=1,material_maxN
!* Iteration over the systems
do j=1,material_Nslip(i)
do k=1,material_Nslip(i)
!* min function is used to distinguish self hardening from latent hardening
constitutive_HardeningMatrix(k,j,i) = material_SlipIntCoeff(max(2,min(3,lattice_SlipIntType(k,j,i)))-1,i) ! 1,2,3,4,5 --> 1,1,2,2,2
enddo
enddo
enddo
!* publish globals
constitutive_maxNresults = maxval(constitutive_Nresults)
end subroutine
function constitutive_HomogenizedC(state,ipc,ip,el)
!*********************************************************************
!* This function returns the homogenized elacticity matrix *
!* INPUT: *
!* - state : state variables *
!* - ipc : component-ID of current integration point *
!* - ip : current integration point *
!* - el : current element *
!*********************************************************************
use prec, only: pReal,pInt
implicit none
!* Definition of variables
integer(pInt) ipc,ip,el
real(pReal), dimension(6,6) :: constitutive_homogenizedC
real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: state
!* Homogenization scheme
constitutive_homogenizedC=material_Cslip_66(:,:,constitutive_matID(ipc,ip,el))
return
end function
subroutine constitutive_Microstructure(state,Temperature,ipc,ip,el)
!*********************************************************************
!* This function calculates from state needed variables *
!* INPUT: *
!* - state : state variables *
!* - Tp : temperature *
!* - ipc : component-ID of current integration point *
!* - ip : current integration point *
!* - el : current element *
!*********************************************************************
use prec, only: pReal,pInt
implicit none
!* Definition of variables
integer(pInt) ipc,ip,el
real(pReal) Temperature
real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: state
end subroutine
subroutine constitutive_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,state,Temperature,ipc,ip,el)
!*********************************************************************
!* This subroutine contains the constitutive equation for *
!* calculating the velocity gradient *
!* INPUT: *
!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
!* - state : current microstructure *
!* - ipc : component-ID of current integration point *
!* - ip : current integration point *
!* - el : current element *
!* OUTPUT: *
!* - Lp : plastic velocity gradient *
!* - dLp_dTstar : derivative of Lp (4th-order tensor) *
!*********************************************************************
use prec, only: pReal,pInt
use lattice, only: lattice_Sslip,lattice_Sslip_v
use math, only: math_Plain3333to99
use debug
implicit none
!* Definition of variables
integer(pInt) ipc,ip,el
integer(pInt) matID,i,k,l,m,n
real(pReal) Temperature
real(pReal), dimension(6) :: Tstar_v
real(pReal), dimension(3,3) :: Lp
real(pReal), dimension(3,3,3,3) :: dLp_dTstar3333
real(pReal), dimension(9,9) :: dLp_dTstar
real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: state
real(pReal), dimension(material_Nslip(constitutive_matID(ipc,ip,el))) :: gdot_slip,dgdot_dtauslip,tau_slip
!* Get the material-ID from the triplet(ipc,ip,el)
matID = constitutive_matID(ipc,ip,el)
!* Calculation of Lp
Lp = 0.0_pReal
do i=1,material_Nslip(matID)
tau_slip(i)=dot_product(Tstar_v,lattice_Sslip_v(:,i,material_CrystalStructure(matID)))
gdot_slip(i)=material_gdot0_slip(matID)*(abs(tau_slip(i))/state(i))**&
material_n_slip(matID)*sign(1.0_pReal,tau_slip(i))
Lp=Lp+gdot_slip(i)*lattice_Sslip(:,:,i,material_CrystalStructure(matID))
enddo
!* Calculation of the tangent of Lp
dLp_dTstar3333 = 0.0_pReal
dLp_dTstar = 0.0_pReal
do i=1,material_Nslip(matID)
dgdot_dtauslip(i) = material_gdot0_slip(matID)*(abs(tau_slip(i))/state(i))**&
(material_n_slip(matID)-1.0_pReal)*material_n_slip(matID)/state(i)
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
dLp_dTstar3333(k,l,m,n) = dLp_dTstar3333(k,l,m,n) + &
dgdot_dtauslip(i)*lattice_Sslip(k,l,i,material_CrystalStructure(matID))* &
lattice_Sslip(m,n,i,material_CrystalStructure(matID))
enddo
dLp_dTstar = math_Plain3333to99(dLp_dTstar3333)
return
end subroutine
function constitutive_dotState(Tstar_v,state,Temperature,ipc,ip,el)
!*********************************************************************
!* This subroutine contains the constitutive equation for *
!* calculating the rate of change of microstructure *
!* INPUT: *
!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
!* - state : current microstructure *
!* - ipc : component-ID of current integration point *
!* - ip : current integration point *
!* - el : current element *
!* OUTPUT: *
!* - constitutive_dotState : evolution of state variable *
!*********************************************************************
use prec, only: pReal,pInt
use lattice, only: lattice_Sslip_v
implicit none
!* Definition of variables
integer(pInt) ipc,ip,el
integer(pInt) matID,i
real(pReal) Temperature,tau_slip,gdot_slip
real(pReal), dimension(6) :: Tstar_v
real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: constitutive_dotState,state,self_hardening
!* Get the material-ID from the triplet(ipc,ip,el)
matID = constitutive_matID(ipc,ip,el)
!* Self-Hardening of each system
do i=1,constitutive_Nstatevars(ipc,ip,el)
tau_slip = dot_product(Tstar_v,lattice_Sslip_v(:,i,material_CrystalStructure(matID)))
gdot_slip = material_gdot0_slip(matID)*(abs(tau_slip)/state(i))**&
material_n_slip(matID)*sign(1.0_pReal,tau_slip)
self_hardening(i)=material_h0(matID)*(1.0_pReal-state(i)/&
material_s_sat(matID))**material_w0(matID)*abs(gdot_slip)
enddo
!* Hardening for all systems
!$OMP CRITICAL (evilmatmul)
constitutive_dotState=matmul(constitutive_HardeningMatrix(1:material_Nslip(matID),1:material_Nslip(matID),&
matID),self_hardening)
!$OMP END CRITICAL (evilmatmul)
return
end function
function constitutive_post_results(Tstar_v,state,Temperature,dt,ipc,ip,el)
!*********************************************************************
!* return array of constitutive results *
!* INPUT: *
!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
!* - state : current microstructure *
!* - dt : current time increment *
!* - ipc : component-ID of current integration point *
!* - ip : current integration point *
!* - el : current element *
!*********************************************************************
use prec, only: pReal,pInt
use lattice, only: lattice_Sslip_v
implicit none
!* Definition of variables
integer(pInt) ipc,ip,el
integer(pInt) matID,i
real(pReal) dt,Temperature,tau_slip, active_rate
real(pReal), dimension(6) :: Tstar_v
real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: state
real(pReal), dimension(constitutive_Nresults(ipc,ip,el)) :: constitutive_post_results
!* Get the material-ID from the triplet(ipc,ip,el)
matID = constitutive_matID(ipc,ip,el)
if(constitutive_Nresults(ipc,ip,el)==0) return
constitutive_post_results=0
do i=1,material_Nslip(matID)
!do i=1,constitutive_Nresults(ipc,ip,el)
! constitutive_post_results(i) = state(i)
tau_slip=dot_product(Tstar_v,lattice_Sslip_v(:,i,material_CrystalStructure(matID)))
! constitutive_post_results(i+material_Nslip(matID)) = &
constitutive_post_results(i) = &
material_gdot0_slip(matID)*(abs(tau_slip)/state(i))**material_n_slip(matID)*sign(1.0_pReal,tau_slip)
enddo
active_rate = 0.1_pReal*MAXVAL(abs(constitutive_post_results))
do i=1,material_Nslip(matID)
if(abs(constitutive_post_results(i)) > active_rate) constitutive_post_results(i+material_Nslip(matID))=1.0_pReal
enddo
return
end function
END MODULE