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Construction of the elasticity matrices for rotated/twin regions. 

Definition of constitutive_Ntwin and constitutive_MaxNtwin
This commit is contained in:
Luc Hantcherli 2007-12-07 13:59:15 +00:00
parent e18f304c5a
commit b69aa2b112
3 changed files with 102 additions and 59 deletions
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156
trunk/constitutive_dislo.f90
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@ -30,30 +30,35 @@ real(pReal), parameter :: Kb = 1.38e-23_pReal
!*************************************
!* 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
!* Crystal structure and number of selected slip or twin systems per material
integer(pInt), dimension(:) , allocatable :: material_CrystalStructure
integer(pInt), dimension(:) , allocatable :: material_Nslip
integer(pInt), dimension(:) , allocatable :: material_Ntwin
!* Maximum number of selected slip or twin systems over materials
integer(pInt) material_maxNslip
integer(pInt) material_maxNtwin
!* 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_Gmod
real(pReal), dimension(:,:,:), allocatable :: material_Cslip_66
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_Gmod
real(pReal), dimension(:,:,:) , allocatable :: material_Cslip_66
real(pReal), dimension(:,:,:,:,:) , allocatable :: material_Cslip_3333
real(preal), dimension(:,:,:,:) , allocatable :: material_Ctwin_66
real(pReal), dimension(:,:,:,:,:,:), allocatable :: material_Ctwin_3333
!* Visco-plastic material parameters
real(pReal), dimension(:) , allocatable :: material_rho0
real(pReal), dimension(:) , allocatable :: material_bg
real(pReal), dimension(:) , allocatable :: material_Qedge
real(pReal), dimension(:) , allocatable :: material_tau0
real(pReal), dimension(:) , allocatable :: material_c1
real(pReal), dimension(:) , allocatable :: material_c2
real(pReal), dimension(:) , allocatable :: material_c3
real(pReal), dimension(:) , allocatable :: material_c4
real(pReal), dimension(:) , allocatable :: material_c5
real(pReal), dimension(:,:) , allocatable :: material_SlipIntCoeff
real(pReal), dimension(:) , allocatable :: material_rho0
real(pReal), dimension(:) , allocatable :: material_bg
real(pReal), dimension(:) , allocatable :: material_Qedge
real(pReal), dimension(:) , allocatable :: material_tau0
real(pReal), dimension(:) , allocatable :: material_c1
real(pReal), dimension(:) , allocatable :: material_c2
real(pReal), dimension(:) , allocatable :: material_c3
real(pReal), dimension(:) , allocatable :: material_c4
real(pReal), dimension(:) , allocatable :: material_c5
real(pReal), dimension(:,:) , allocatable :: material_SlipIntCoeff
!************************************
!* Definition of texture properties *
@ -291,6 +296,8 @@ do while(.true.)
material_CrystalStructure(section)=IO_intValue(line,positions,2)
case ('nslip')
material_Nslip(section)=IO_intValue(line,positions,2)
case ('ntwin')
material_Ntwin(section)=IO_intValue(line,positions,2)
case ('c11')
material_C11(section)=IO_floatValue(line,positions,2)
case ('c12')
@ -431,7 +438,7 @@ subroutine constitutive_Parse_MatTexDat(filename)
use prec, only: pReal,pInt
use IO, only: IO_error, IO_open_file
use math, only: math_Mandel3333to66, math_Voigt66to3333
use crystal, only: crystal_MaxMaxNslipOfStructure
use crystal, only: crystal_MaxMaxNslipOfStructure,crystal_MaxMaxNtwinOfStructure
implicit none
!* Definition of variables
@ -458,31 +465,34 @@ do while (part/='')
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_Gmod(material_maxN)) ; material_Gmod=0.0_pReal
allocate(material_Cslip_66(6,6,material_maxN)) ; material_Cslip_66=0.0_pReal
allocate(material_rho0(material_maxN)) ; material_rho0=0.0_pReal
allocate(material_SlipIntCoeff(crystal_MaxMaxNslipOfStructure,material_maxN)) ; material_SlipIntCoeff=0.0_pReal
allocate(material_bg(material_maxN)) ; material_bg=0.0_pReal
allocate(material_Qedge(material_maxN)) ; material_Qedge=0.0_pReal
allocate(material_tau0(material_maxN)) ; material_tau0=0.0_pReal
allocate(material_c1(material_maxN)) ; material_c1=0.0_pReal
allocate(material_c2(material_maxN)) ; material_c2=0.0_pReal
allocate(material_c3(material_maxN)) ; material_c3=0.0_pReal
allocate(material_c4(material_maxN)) ; material_c4=0.0_pReal
allocate(material_c5(material_maxN)) ; material_c5=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
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_Gmod(material_maxN)) ; material_Gmod=0.0_pReal
allocate(material_Cslip_66(6,6,material_maxN)) ; material_Cslip_66=0.0_pReal
allocate(material_Cslip_3333(3,3,3,3,material_maxN)) ; material_Cslip_3333=0.0_pReal
allocate(material_Ctwin_66(6,6,crystal_MaxMaxNtwinOfStructure,material_maxN)) ; material_Ctwin_66=0.0_pReal
allocate(material_Ctwin_3333(3,3,3,3,crystal_MaxMaxNtwinOfStructure,material_maxN)) ; material_Ctwin_3333=0.0_pReal
allocate(material_rho0(material_maxN)) ; material_rho0=0.0_pReal
allocate(material_SlipIntCoeff(crystal_MaxMaxNslipOfStructure,material_maxN)) ; material_SlipIntCoeff=0.0_pReal
allocate(material_bg(material_maxN)) ; material_bg=0.0_pReal
allocate(material_Qedge(material_maxN)) ; material_Qedge=0.0_pReal
allocate(material_tau0(material_maxN)) ; material_tau0=0.0_pReal
allocate(material_c1(material_maxN)) ; material_c1=0.0_pReal
allocate(material_c2(material_maxN)) ; material_c2=0.0_pReal
allocate(material_c3(material_maxN)) ; material_c3=0.0_pReal
allocate(material_c4(material_maxN)) ; material_c4=0.0_pReal
allocate(material_c5(material_maxN)) ; material_c5=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
@ -520,12 +530,11 @@ do while (part/='')
enddo
close(fileunit)
!* Construction of the elasticity matrices
do i=1,material_maxN
material_Gmod(i)=material_C44(i)
select case (material_CrystalStructure(i))
case(1:2) ! cubic(s)
material_Gmod(i)=material_C44(i)
forall(k=1:3)
forall(j=1:3)
material_Cslip_66(k,j,i)=material_C12(i)
@ -534,6 +543,8 @@ do i=1,material_maxN
material_Cslip_66(k+3,k+3,i)=material_C44(i)
endforall
case(3) ! hcp
material_Gmod(i)=material_C44(i)
!* MISSING: Warning message: C44 in hexagonal structures?
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)
@ -547,10 +558,10 @@ do i=1,material_maxN
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)))
material_Cslip_3333(:,:,:,:,i) = math_Voigt66to3333(material_Cslip_66(:,:,i))
material_Cslip_66(:,:,i) = math_Mandel3333to66(material_Cslip_3333(:,:,:,:,i))
enddo
! MISSING some consistency checks may be..?
! if ODFfile present then set NGauss NFiber =0
return
@ -563,14 +574,15 @@ 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 math, only: math_sampleGaussOri,math_sampleFiberOri,math_sampleRandomOri,math_symmetricEulers,math_EulerToR,&
math_Mandel3333to66
use mesh, only: mesh_NcpElems,FE_Nips,FE_mapElemtype,mesh_maxNips,mesh_element
use IO, only: IO_hybridIA
use crystal, only: crystal_MaxNslipOfStructure,crystal_SlipIntType,crystal_sn,crystal_st
use crystal, only: crystal_SlipIntType,crystal_sn,crystal_st,crystal_Qtwin
implicit none
!* Definition of variables
integer(pInt) e,i,j,k,l,m,o,g,s
integer(pInt) e,g,i,j,k,l,m,n,o,p,q,r,s
integer(pInt) matID,texID
real(pReal) x,y
integer(pInt), dimension(:,:,:), allocatable :: hybridIA_population
@ -612,8 +624,9 @@ enddo
!* publish globals
constitutive_maxNgrains = maxval(texture_Ngrains)
material_maxNslip = maxval(material_Nslip) ! max # of slip systems among materials present
constitutive_maxNstatevars = maxval(material_Nslip) + 0_pInt
material_maxNslip = maxval(material_Nslip) ! max of slip systems among materials present
material_maxNtwin = maxval(material_Ntwin) ! max of twin systems among materials present
constitutive_maxNstatevars = maxval(material_Nslip) + maxval(material_Ntwin)
constitutive_maxNresults = 1_pInt
!* calc texture_totalNgrains
@ -712,6 +725,34 @@ do e=1,mesh_NcpElems
enddo ! ip
enddo ! cp_element
!* Construction of the rotated elasticity matrices for twinning
do i=1,material_maxN
do j=1,material_Ntwin(i)
do k=1,3
do l=1,3
do m=1,3
do n=1,3
material_Ctwin_3333(k,l,m,n,j,i)=0.0_pReal
do p=1,3
do q=1,3
do r=1,3
do s=1,3
material_Ctwin_3333(k,l,m,n,j,i)=material_Ctwin_3333(k,l,m,n,j,i)+material_Cslip_3333(p,q,r,s,i)*&
crystal_Qtwin(k,p,j,material_CrystalStructure(i))*&
crystal_Qtwin(l,q,j,material_CrystalStructure(i))*&
crystal_Qtwin(m,r,j,material_CrystalStructure(i))*&
crystal_Qtwin(n,s,j,material_CrystalStructure(i))
enddo
enddo
enddo
enddo
enddo
enddo
enddo
enddo
material_Ctwin_66(:,:,j,i) = math_Mandel3333to66(material_Ctwin_3333(:,:,:,:,j,i))
enddo
enddo
!* Construction of the hardening matrices
do i=1,material_maxN
@ -790,7 +831,8 @@ do i=1,material_Nslip(matID)
constitutive_jump_width(i)=material_c2(matID)/sqrt(constitutive_rho_f(i))
constitutive_activation_volume(i)=material_c3(matID)*constitutive_jump_width(i)*material_bg(matID)**2.0_pReal
constitutive_rho_m(i)=(2.0_pReal*Kb*Tp*sqrt(constitutive_rho_p(i)))/&
(material_c1(matID)*material_c3(matID)*material_Gmod(matID)*constitutive_jump_width(i)*material_bg(matID)**3.0_pReal)
(material_c1(matID)*material_c3(matID)*material_Gmod(matID)*constitutive_jump_width(i)*&
material_bg(matID)**3.0_pReal)
constitutive_g0_slip(i)=constitutive_rho_m(i)*material_bg(matID)*attack_frequency*constitutive_jump_width(i)*&
exp(-(material_Qedge(matID)+constitutive_passing_stress(i)*constitutive_activation_volume(i))/&
(Kb*Tp))

4
trunk/crystal.f90
View File

@ -152,7 +152,7 @@ data crystal_sd(:,48,2)/ 1,-1, 1/ ; data crystal_sn(:,48,2)/ 3, 2,-1/
!*** Twin systems for BCC structures (2) ***
!* System {112}<111>
!* Sort?
!* Not implemented yet
!* MISSING
!*** Slip-Slip interactions for BCC structures (2) ***
data crystal_SlipIntType( 1,:,2)/1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2/
@ -244,7 +244,7 @@ data crystal_sd(:,12,3)/ 1, 1, 0/ ; data crystal_sn(:,12,3)/ 1,-1, 1/
!*** Twin systems for HCP structures (2) ***
!* System {1012}<1011>
!* Sort?
!* Not implemented yet
!* MISSING
!*** Slip-Slip interactions for HCP structures (3) ***
data crystal_SlipIntType( 1,1:crystal_MaxNslipOfStructure(3),3)/1,2,2,2,2,2,2,2,2,2,2,2/

1
trunk/mattex.mpie
View File

@ -2,6 +2,7 @@
[Aluminium]
crystal_structure 1
Nslip 12
Ntwin 0
## Elastic constants
# Unit in [Pa]
C11 106.75e9