THIS IS A MAJOR UPDATE
The different blocks required for the twinning model are now implemented (I guess correctly...) Keywords in the material.config are changed. Since the flow rule for twin systems remains under investigation, this part is susceptible to further changes.
This commit is contained in:
Luc Hantcherli
parent
d3343ef795
commit
ce515beb39
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@ -8,71 +8,48 @@
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!* - orientations *
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!************************************
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! [Alu]
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! constitution dislobased
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! (output) dislodensity
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! (output) rateofshear
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! lattice_structure 1
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! Nslip 12
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!
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! c11 106.75e9
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! c12 60.41e9
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! c44 28.34e9
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!
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! burgers 2.86e-10 # Burgers vector [m]
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! Qedge 3e-19 # Activation energy for dislocation glide [J/K] (0.5*G*b^3)
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! Qsd 2.4e-19 # Activation energy for self diffusion [J/K] (gamma-iron)
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! diff0 1e-3 # prefactor vacancy diffusion coeffficent (gamma-iron)
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! interaction_coefficients 1.0 2.2 3.0 1.6 3.8 4.5 # Dislocation interaction coefficients
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!
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! rho0 6.0e12 # Initial dislocation density [m/m^3]
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!
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! c1 0.1 # Passing stress adjustment
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! c2 2.0 # Jump width adjustment
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! c3 1.0 # Activation volume adjustment
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! c4 50.0 # Average slip distance adjustment for lock formation
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! c7 8.0 # Athermal recovery adjustment
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! c8 1.0e10 # Thermal recovery adjustment (plays no role for me)
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MODULE constitutive_dislobased
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!*** Include other modules ***
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use prec, only: pReal,pInt
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implicit none
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character (len=*), parameter :: constitutive_dislobased_label = 'dislobased'
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integer(pInt), dimension(:), allocatable :: constitutive_dislobased_sizeDotState, &
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constitutive_dislobased_sizeState, &
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constitutive_dislobased_sizePostResults
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character(len=64), dimension(:,:), allocatable :: constitutive_dislobased_output
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character(len=32), dimension(:), allocatable :: constitutive_dislobased_structureName
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integer(pInt), dimension(:), allocatable :: constitutive_dislobased_structure
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integer(pInt), dimension(:), allocatable :: constitutive_dislobased_Nslip
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_C11
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_C12
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_C13
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_C33
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_C44
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_Gmod
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real(pReal), dimension(:,:,:), allocatable :: constitutive_dislobased_Cslip_66
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!* Visco-plastic constitutive_phenomenological parameters
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_rho0
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_bg
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_Qedge
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_Qsd
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_D0
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_c1
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_c2
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_c3
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_c4
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_c5
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_c6
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_c7
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_c8
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_CoverA
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real(pReal), dimension(:,:), allocatable :: constitutive_dislobased_SlipIntCoeff
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real(pReal), dimension(:,:,:), allocatable :: constitutive_dislobased_Iparallel
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real(pReal), dimension(:,:,:), allocatable :: constitutive_dislobased_Iforest
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integer(pInt), dimension(:), allocatable :: constitutive_dislobased_sizeDotState, &
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constitutive_dislobased_sizeState, &
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constitutive_dislobased_sizePostResults
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character(len=64), dimension(:,:), allocatable :: constitutive_dislobased_output
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character(len=32), dimension(:), allocatable :: constitutive_dislobased_structureName
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integer(pInt), dimension(:), allocatable :: constitutive_dislobased_structure
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integer(pInt), dimension(:), allocatable :: constitutive_dislobased_Nslip
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integer(pInt), dimension(:), allocatable :: constitutive_dislobased_Ntwin
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_C11
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_C12
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_C13
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_C33
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_C44
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_Gmod
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real(pReal), dimension(:,:,:), allocatable :: constitutive_dislobased_Cslip_66
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real(pReal), dimension(:,:,:,:), allocatable :: constitutive_dislobased_Ctwin_66
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real(pReal), dimension(:,:,:,:,:), allocatable :: constitutive_dislobased_Cslip_3333
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real(pReal), dimension(:,:,:,:,:,:), allocatable :: constitutive_dislobased_Ctwin_3333
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_rho0
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_bg
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_Qedge
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_grainsize
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_stacksize
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_fmax
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_Ndot0
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_Cmfpslip
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_Cmfptwin
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_Cthresholdslip
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_Cthresholdtwin
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_Cactivolume
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_Cstorage
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_Carecovery
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real(pReal), dimension(:), allocatable :: constitutive_dislobased_CoverA
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real(pReal), dimension(:,:), allocatable :: constitutive_dislobased_SlipIntCoeff
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real(pReal), dimension(:,:,:), allocatable :: constitutive_dislobased_Iparallel
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real(pReal), dimension(:,:,:), allocatable :: constitutive_dislobased_Iforest
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!*************************************
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!* Definition of material properties *
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@ -105,49 +82,50 @@ subroutine constitutive_dislobased_init(file)
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use math, only: math_Mandel3333to66, math_Voigt66to3333, math_mul3x3
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use IO
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use material
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use lattice, only: lattice_sn, lattice_st, lattice_interactionSlipSlip, lattice_initializeStructure
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use lattice, only: lattice_sn,lattice_st,lattice_interactionSlipSlip,lattice_initializeStructure,lattice_Qtwin,lattice_tn
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integer(pInt), intent(in) :: file
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integer(pInt), parameter :: maxNchunks = 7
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integer(pInt), dimension(1+2*maxNchunks) :: positions
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integer(pInt) section, maxNinstance, i,j,k,l, output
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integer(pInt) section,maxNinstance,i,j,k,l,m,n,o,p,q,r,s,output
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character(len=64) tag
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character(len=1024) line
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real(pReal) x,y
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maxNinstance = count(phase_constitution == constitutive_dislobased_label)
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if (maxNinstance == 0) return
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allocate(constitutive_dislobased_sizeDotState(maxNinstance)) ; constitutive_dislobased_sizeDotState = 0_pInt
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allocate(constitutive_dislobased_sizeState(maxNinstance)) ; constitutive_dislobased_sizeState = 0_pInt
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allocate(constitutive_dislobased_sizePostResults(maxNinstance)); constitutive_dislobased_sizePostResults = 0_pInt
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allocate(constitutive_dislobased_output(maxval(phase_Noutput), &
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maxNinstance)) ; constitutive_dislobased_output = ''
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allocate(constitutive_dislobased_structureName(maxNinstance)) ; constitutive_dislobased_structureName = ''
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allocate(constitutive_dislobased_structure(maxNinstance)) ; constitutive_dislobased_structure = 0_pInt
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allocate(constitutive_dislobased_Nslip(maxNinstance)) ; constitutive_dislobased_Nslip = 0_pInt
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allocate(constitutive_dislobased_C11(maxNinstance)) ; constitutive_dislobased_C11 = 0.0_pReal
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allocate(constitutive_dislobased_C12(maxNinstance)) ; constitutive_dislobased_C12 = 0.0_pReal
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allocate(constitutive_dislobased_C13(maxNinstance)) ; constitutive_dislobased_C13 = 0.0_pReal
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allocate(constitutive_dislobased_C33(maxNinstance)) ; constitutive_dislobased_C33 = 0.0_pReal
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allocate(constitutive_dislobased_C44(maxNinstance)) ; constitutive_dislobased_C44 = 0.0_pReal
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allocate(constitutive_dislobased_Gmod(maxNinstance)) ; constitutive_dislobased_Gmod = 0.0_pReal
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allocate(constitutive_dislobased_Cslip_66(6,6,maxNinstance)) ; constitutive_dislobased_Cslip_66 = 0.0_pReal
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allocate(constitutive_dislobased_rho0(maxNinstance)) ; constitutive_dislobased_rho0 = 0.0_pReal
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allocate(constitutive_dislobased_bg(maxNinstance)) ; constitutive_dislobased_bg = 0.0_pReal
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allocate(constitutive_dislobased_Qedge(maxNinstance)) ; constitutive_dislobased_Qedge = 0.0_pReal
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allocate(constitutive_dislobased_Qsd(maxNinstance)) ; constitutive_dislobased_Qsd = 0.0_pReal
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allocate(constitutive_dislobased_D0(maxNinstance)) ; constitutive_dislobased_D0 = 0.0_pReal
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allocate(constitutive_dislobased_c1(maxNinstance)) ; constitutive_dislobased_c1 = 0.0_pReal
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allocate(constitutive_dislobased_c2(maxNinstance)) ; constitutive_dislobased_c2 = 0.0_pReal
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allocate(constitutive_dislobased_c3(maxNinstance)) ; constitutive_dislobased_c3 = 0.0_pReal
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allocate(constitutive_dislobased_c4(maxNinstance)) ; constitutive_dislobased_c4 = 0.0_pReal
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allocate(constitutive_dislobased_c5(maxNinstance)) ; constitutive_dislobased_c5 = 0.0_pReal
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allocate(constitutive_dislobased_c6(maxNinstance)) ; constitutive_dislobased_c6 = 0.0_pReal
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allocate(constitutive_dislobased_c7(maxNinstance)) ; constitutive_dislobased_c7 = 0.0_pReal
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allocate(constitutive_dislobased_c8(maxNinstance)) ; constitutive_dislobased_c8 = 0.0_pReal
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allocate(constitutive_dislobased_CoverA(maxNinstance)) ; constitutive_dislobased_CoverA = 0.0_pReal
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allocate(constitutive_dislobased_SlipIntCoeff(6,maxNinstance)) ; constitutive_dislobased_SlipIntCoeff = 0.0_pReal
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allocate(constitutive_dislobased_sizeDotState(maxNinstance)) ; constitutive_dislobased_sizeDotState = 0_pInt
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allocate(constitutive_dislobased_sizeState(maxNinstance)) ; constitutive_dislobased_sizeState = 0_pInt
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allocate(constitutive_dislobased_sizePostResults(maxNinstance)) ; constitutive_dislobased_sizePostResults = 0_pInt
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allocate(constitutive_dislobased_structureName(maxNinstance)) ; constitutive_dislobased_structureName = ''
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allocate(constitutive_dislobased_structure(maxNinstance)) ; constitutive_dislobased_structure = 0_pInt
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allocate(constitutive_dislobased_Nslip(maxNinstance)) ; constitutive_dislobased_Nslip = 0_pInt
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allocate(constitutive_dislobased_Ntwin(maxNinstance)) ; constitutive_dislobased_Ntwin = 0_pInt
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allocate(constitutive_dislobased_C11(maxNinstance)) ; constitutive_dislobased_C11 = 0.0_pReal
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allocate(constitutive_dislobased_C12(maxNinstance)) ; constitutive_dislobased_C12 = 0.0_pReal
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allocate(constitutive_dislobased_C13(maxNinstance)) ; constitutive_dislobased_C13 = 0.0_pReal
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allocate(constitutive_dislobased_C33(maxNinstance)) ; constitutive_dislobased_C33 = 0.0_pReal
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allocate(constitutive_dislobased_C44(maxNinstance)) ; constitutive_dislobased_C44 = 0.0_pReal
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allocate(constitutive_dislobased_Gmod(maxNinstance)) ; constitutive_dislobased_Gmod = 0.0_pReal
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allocate(constitutive_dislobased_Cslip_66(6,6,maxNinstance)) ; constitutive_dislobased_Cslip_66 = 0.0_pReal
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allocate(constitutive_dislobased_Cslip_3333(3,3,3,3,maxNinstance)) ; constitutive_dislobased_Ctwin_3333 = 0.0_pReal
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allocate(constitutive_dislobased_rho0(maxNinstance)) ; constitutive_dislobased_rho0 = 0.0_pReal
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allocate(constitutive_dislobased_bg(maxNinstance)) ; constitutive_dislobased_bg = 0.0_pReal
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allocate(constitutive_dislobased_Qedge(maxNinstance)) ; constitutive_dislobased_Qedge = 0.0_pReal
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allocate(constitutive_dislobased_grainsize(maxNinstance)) ; constitutive_dislobased_grainsize = 0.0_pReal
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allocate(constitutive_dislobased_stacksize(maxNinstance)) ; constitutive_dislobased_stacksize = 0.0_pReal
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allocate(constitutive_dislobased_fmax(maxNinstance)) ; constitutive_dislobased_fmax = 0.0_pReal
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allocate(constitutive_dislobased_Ndot0(maxNinstance)) ; constitutive_dislobased_Ndot0 = 0.0_pReal
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allocate(constitutive_dislobased_Cmfpslip(maxNinstance)) ; constitutive_dislobased_Cmfpslip = 0.0_pReal
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allocate(constitutive_dislobased_Cmfptwin(maxNinstance)) ; constitutive_dislobased_Cmfptwin = 0.0_pReal
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allocate(constitutive_dislobased_Cthresholdslip(maxNinstance)) ; constitutive_dislobased_Cthresholdslip = 0.0_pReal
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allocate(constitutive_dislobased_Cthresholdtwin(maxNinstance)) ; constitutive_dislobased_Cthresholdtwin = 0.0_pReal
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allocate(constitutive_dislobased_Cactivolume(maxNinstance)) ; constitutive_dislobased_Cactivolume = 0.0_pReal
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allocate(constitutive_dislobased_Cstorage(maxNinstance)) ; constitutive_dislobased_Cstorage = 0.0_pReal
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allocate(constitutive_dislobased_Carecovery(maxNinstance)) ; constitutive_dislobased_Carecovery = 0.0_pReal
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allocate(constitutive_dislobased_CoverA(maxNinstance)) ; constitutive_dislobased_CoverA = 0.0_pReal
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allocate(constitutive_dislobased_SlipIntCoeff(6,maxNinstance)) ; constitutive_dislobased_SlipIntCoeff = 0.0_pReal
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allocate(constitutive_dislobased_output(maxval(phase_Noutput),maxNinstance)) ; constitutive_dislobased_output = ''
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rewind(file)
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line = ''
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@ -179,6 +157,8 @@ subroutine constitutive_dislobased_init(file)
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constitutive_dislobased_CoverA(i) = IO_floatValue(line,positions,2)
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case ('nslip')
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constitutive_dislobased_Nslip(i) = IO_intValue(line,positions,2)
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case ('ntwin')
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constitutive_dislobased_Ntwin(i) = IO_intValue(line,positions,2)
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case ('c11')
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constitutive_dislobased_C11(i) = IO_floatValue(line,positions,2)
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case ('c12')
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@ -195,26 +175,28 @@ subroutine constitutive_dislobased_init(file)
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constitutive_dislobased_bg(i) = IO_floatValue(line,positions,2)
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case ('qedge')
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constitutive_dislobased_Qedge(i) = IO_floatValue(line,positions,2)
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case ('qsd')
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constitutive_dislobased_Qsd(i) = IO_floatValue(line,positions,2)
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case ('diff0')
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constitutive_dislobased_D0(i) = IO_floatValue(line,positions,2)
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case ('c1')
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constitutive_dislobased_c1(i) = IO_floatValue(line,positions,2)
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case ('c2')
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constitutive_dislobased_c2(i) = IO_floatValue(line,positions,2)
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case ('c3')
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constitutive_dislobased_c3(i) = IO_floatValue(line,positions,2)
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case ('c4')
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constitutive_dislobased_c4(i) = IO_floatValue(line,positions,2)
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case ('c5')
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constitutive_dislobased_c5(i) = IO_floatValue(line,positions,2)
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case ('c6')
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constitutive_dislobased_c6(i) = IO_floatValue(line,positions,2)
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case ('c7')
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constitutive_dislobased_c7(i) = IO_floatValue(line,positions,2)
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case ('c8')
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constitutive_dislobased_c8(i) = IO_floatValue(line,positions,2)
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case ('grainsize')
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constitutive_dislobased_grainsize(i) = IO_floatValue(line,positions,2)
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case ('stacksize')
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constitutive_dislobased_stacksize(i) = IO_floatValue(line,positions,2)
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case ('fmax')
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constitutive_dislobased_fmax(i) = IO_floatValue(line,positions,2)
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case ('ndot0')
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constitutive_dislobased_Ndot0(i) = IO_floatValue(line,positions,2)
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case ('cmfpslip')
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constitutive_dislobased_Cmfpslip(i) = IO_floatValue(line,positions,2)
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case ('cmfptwin')
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constitutive_dislobased_Cmfptwin(i) = IO_floatValue(line,positions,2)
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case ('cthresholdslip')
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constitutive_dislobased_Cthresholdslip(i) = IO_floatValue(line,positions,2)
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case ('cthresholdtwin')
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constitutive_dislobased_Cthresholdtwin(i) = IO_floatValue(line,positions,2)
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case ('cactivolume')
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constitutive_dislobased_Cactivolume(i) = IO_floatValue(line,positions,2)
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case ('cstorage')
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constitutive_dislobased_Cstorage(i) = IO_floatValue(line,positions,2)
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case ('carecovery')
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constitutive_dislobased_Carecovery(i) = IO_floatValue(line,positions,2)
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case ('interaction_coefficients')
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forall (j=2:min(7,positions(1))) &
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constitutive_dislobased_SlipIntCoeff(j-1,i) = IO_floatValue(line,positions,j)
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@ -232,30 +214,39 @@ subroutine constitutive_dislobased_init(file)
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if (constitutive_dislobased_rho0(i) < 0.0_pReal) call IO_error(220)
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if (constitutive_dislobased_bg(i) <= 0.0_pReal) call IO_error(221)
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if (constitutive_dislobased_Qedge(i) <= 0.0_pReal) call IO_error(222)
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if (constitutive_dislobased_Qsd(i) <= 0.0_pReal) call IO_error(223)
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if (constitutive_dislobased_D0(i) <= 0.0_pReal) call IO_error(224)
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enddo
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allocate(constitutive_dislobased_Iparallel(maxval(constitutive_dislobased_Nslip),&
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maxval(constitutive_dislobased_Nslip),&
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maxNinstance))
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allocate(constitutive_dislobased_Iparallel(maxval(constitutive_dislobased_Nslip),maxval(constitutive_dislobased_Nslip),maxNinstance))
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constitutive_dislobased_Iparallel = 0.0_pReal
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allocate(constitutive_dislobased_Iforest(maxval(constitutive_dislobased_Nslip),maxval(constitutive_dislobased_Nslip),maxNinstance))
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constitutive_dislobased_Iforest = 0.0_pReal
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allocate(constitutive_dislobased_Ctwin_66(6,6,maxval(constitutive_dislobased_Ntwin),maxNinstance))
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constitutive_dislobased_Ctwin_66 = 0.0_pReal
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allocate(constitutive_dislobased_Ctwin_3333(3,3,3,3,maxval(constitutive_dislobased_Ntwin),maxNinstance))
|
||||
constitutive_dislobased_Ctwin_3333 = 0.0_pReal
|
||||
|
||||
allocate(constitutive_dislobased_Iforest(maxval(constitutive_dislobased_Nslip),&
|
||||
maxval(constitutive_dislobased_Nslip),&
|
||||
maxNinstance))
|
||||
|
||||
do i = 1,maxNinstance
|
||||
constitutive_dislobased_sizeDotState(i) = constitutive_dislobased_Nslip(i)
|
||||
constitutive_dislobased_sizeState(i) = 8*constitutive_dislobased_Nslip(i)
|
||||
do i = 1,maxNinstance
|
||||
constitutive_dislobased_sizeDotState(i) = constitutive_dislobased_Nslip(i)+constitutive_dislobased_Ntwin(i)
|
||||
constitutive_dislobased_sizeState(i) = 10*constitutive_dislobased_Nslip(i)+5*constitutive_dislobased_Ntwin(i)
|
||||
|
||||
do j = 1,maxval(phase_Noutput)
|
||||
select case(constitutive_dislobased_output(j,i))
|
||||
case('dislodensity')
|
||||
constitutive_dislobased_sizePostResults(i) = &
|
||||
constitutive_dislobased_sizePostResults(i) + constitutive_dislobased_Nslip(i)
|
||||
case('rateofshear')
|
||||
constitutive_dislobased_sizePostResults(i) = &
|
||||
constitutive_dislobased_sizePostResults(i) + constitutive_dislobased_Nslip(i)
|
||||
case('state_slip')
|
||||
constitutive_dislobased_sizePostResults(i) = constitutive_dislobased_sizePostResults(i) + constitutive_dislobased_Nslip(i)
|
||||
case('rateofshear_slip')
|
||||
constitutive_dislobased_sizePostResults(i) = constitutive_dislobased_sizePostResults(i) + constitutive_dislobased_Nslip(i)
|
||||
case('mfp_slip')
|
||||
constitutive_dislobased_sizePostResults(i) = constitutive_dislobased_sizePostResults(i) + constitutive_dislobased_Nslip(i)
|
||||
case('thresholdstress_slip')
|
||||
constitutive_dislobased_sizePostResults(i) = constitutive_dislobased_sizePostResults(i) + constitutive_dislobased_Nslip(i)
|
||||
case('state_twin')
|
||||
constitutive_dislobased_sizePostResults(i) = constitutive_dislobased_sizePostResults(i) + constitutive_dislobased_Ntwin(i)
|
||||
case('rateofshear_twin')
|
||||
constitutive_dislobased_sizePostResults(i) = constitutive_dislobased_sizePostResults(i) + constitutive_dislobased_Ntwin(i)
|
||||
case('mfp_twin')
|
||||
constitutive_dislobased_sizePostResults(i) = constitutive_dislobased_sizePostResults(i) + constitutive_dislobased_Ntwin(i)
|
||||
case('thresholdstress_twin')
|
||||
constitutive_dislobased_sizePostResults(i) = constitutive_dislobased_sizePostResults(i) + constitutive_dislobased_Ntwin(i)
|
||||
end select
|
||||
enddo
|
||||
|
||||
|
|
@ -283,9 +274,33 @@ subroutine constitutive_dislobased_init(file)
|
|||
constitutive_dislobased_Cslip_66(6,6,i) = 0.5_pReal*(constitutive_dislobased_C11(i)- &
|
||||
constitutive_dislobased_C12(i))
|
||||
end select
|
||||
constitutive_dislobased_Cslip_66(:,:,i) = &
|
||||
math_Mandel3333to66(math_Voigt66to3333(constitutive_dislobased_Cslip_66(:,:,i)))
|
||||
|
||||
constitutive_dislobased_Cslip_66(:,:,i) = math_Mandel3333to66(math_Voigt66to3333(constitutive_dislobased_Cslip_66(:,:,i)))
|
||||
|
||||
!* Construction of the twin elasticity matrices
|
||||
!* Iteration over the systems
|
||||
constitutive_dislobased_Cslip_3333(:,:,:,:,i) = math_Voigt66to3333(constitutive_dislobased_Cslip_66(:,:,i))
|
||||
do j=1,constitutive_dislobased_Ntwin(i)
|
||||
do k=1,3
|
||||
do l=1,3
|
||||
do m=1,3
|
||||
do n=1,3
|
||||
do p=1,3
|
||||
do q=1,3
|
||||
do r=1,3
|
||||
do s=1,3
|
||||
constitutive_dislobased_Ctwin_3333(k,l,m,n,j,i) = constitutive_dislobased_Ctwin_3333(k,l,m,n,j,i) + &
|
||||
constitutive_dislobased_Cslip_3333(p,q,r,s,i)*&
|
||||
lattice_Qtwin(k,p,j,i)*lattice_Qtwin(l,q,j,i)*lattice_Qtwin(m,r,j,i)*lattice_Qtwin(n,s,j,i)
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
constitutive_dislobased_Ctwin_66(:,:,j,i) = math_Mandel3333to66(constitutive_dislobased_Ctwin_3333(:,:,:,:,j,i))
|
||||
enddo
|
||||
|
||||
!* Construction of the hardening matrices
|
||||
!* Iteration over the systems
|
||||
|
|
@ -306,7 +321,6 @@ subroutine constitutive_dislobased_init(file)
|
|||
enddo
|
||||
|
||||
return
|
||||
|
||||
end subroutine
|
||||
|
||||
|
||||
|
|
@ -317,108 +331,193 @@ function constitutive_dislobased_stateInit(myInstance)
|
|||
use prec, only: pReal,pInt
|
||||
implicit none
|
||||
|
||||
!* Definition of variables
|
||||
!* Definition of variables
|
||||
integer(pInt), intent(in) :: myInstance
|
||||
real(pReal), dimension(constitutive_dislobased_Nslip(myInstance)) :: constitutive_dislobased_stateInit
|
||||
|
||||
constitutive_dislobased_stateInit = constitutive_dislobased_rho0(myInstance)
|
||||
real(pReal), dimension(constitutive_dislobased_sizeState(myInstance)) :: constitutive_dislobased_stateInit
|
||||
|
||||
constitutive_dislobased_stateInit = 0.0_pReal
|
||||
constitutive_dislobased_stateInit(1:constitutive_dislobased_Nslip(myInstance)) = constitutive_dislobased_rho0(myInstance)
|
||||
|
||||
return
|
||||
end function
|
||||
|
||||
|
||||
function constitutive_dislobased_homogenizedC(state,ipc,ip,el)
|
||||
!*********************************************************************
|
||||
!* homogenized elacticity matrix *
|
||||
!* INPUT: *
|
||||
!* - state : state variables *
|
||||
!* calculates homogenized elacticity matrix *
|
||||
!* - state : microstructure quantities *
|
||||
!* - ipc : component-ID of current integration point *
|
||||
!* - ip : current integration point *
|
||||
!* - el : current element *
|
||||
!*********************************************************************
|
||||
use prec, only: pReal,pInt,p_vec
|
||||
use mesh, only: mesh_NcpElems,mesh_maxNips
|
||||
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
|
||||
|
||||
!* Definition of variables
|
||||
!* Definition of variables
|
||||
integer(pInt), intent(in) :: ipc,ip,el
|
||||
integer(pInt) matID
|
||||
integer(pInt) matID,ns,nt,i
|
||||
real(pReal) sumf
|
||||
real(pReal), dimension(6,6) :: constitutive_dislobased_homogenizedC
|
||||
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: state
|
||||
|
||||
!* Shortened notation
|
||||
matID = phase_constitutionInstance(material_phase(ipc,ip,el))
|
||||
constitutive_dislobased_homogenizedC = constitutive_dislobased_Cslip_66(:,:,matID)
|
||||
ns = constitutive_dislobased_Nslip(matID)
|
||||
nt = constitutive_dislobased_Ntwin(matID)
|
||||
|
||||
!* Total twin volume fraction
|
||||
sumf = 0.0_pReal
|
||||
if (nt > 0_pInt) sumf = sum(state(ipc,ip,el)%p((ns+1):(ns+nt)))
|
||||
|
||||
!* Homogenized elasticity matrix
|
||||
constitutive_dislobased_homogenizedC = (1.0_pReal-sumf)*constitutive_dislobased_Cslip_66(:,:,matID)
|
||||
do i=1,nt
|
||||
constitutive_dislobased_homogenizedC = constitutive_dislobased_homogenizedC + &
|
||||
state(ipc,ip,el)%p(ns+i)*constitutive_dislobased_Ctwin_66(:,:,i,matID)
|
||||
enddo
|
||||
|
||||
return
|
||||
|
||||
end function
|
||||
|
||||
|
||||
subroutine constitutive_dislobased_microstructure(Temperature,state,ipc,ip,el)
|
||||
!*********************************************************************
|
||||
!* calculate derived quantities from state (not used here) *
|
||||
!* INPUT: *
|
||||
!* - Tp : temperature *
|
||||
!* calculates quantities characterizing the microstructure *
|
||||
!* - Temperature : temperature *
|
||||
!* - state : microstructure quantities *
|
||||
!* - ipc : component-ID of current integration point *
|
||||
!* - ip : current integration point *
|
||||
!* - el : current element *
|
||||
!*********************************************************************
|
||||
use prec, only: pReal,pInt,p_vec
|
||||
use mesh, only: mesh_NcpElems,mesh_maxNips
|
||||
use material, only: homogenization_maxNgrains,material_phase, phase_constitutionInstance
|
||||
use prec, only: pReal,pInt,p_vec
|
||||
use math, only: pi
|
||||
use mesh, only: mesh_NcpElems,mesh_maxNips
|
||||
use material, only: homogenization_maxNgrains,material_phase,phase_constitutionInstance
|
||||
use lattice, only: lattice_interactionSlipTwin,lattice_interactionTwinTwin
|
||||
implicit none
|
||||
|
||||
!* Definition of variables
|
||||
integer(pInt) ipc,ip,el,matID,n,i
|
||||
real(pReal) Temperature
|
||||
!* Definition of variables
|
||||
integer(pInt), intent(in) :: ipc,ip,el
|
||||
integer(pInt) matID,ns,nt,i
|
||||
real(pReal) Temperature,sumf
|
||||
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: state
|
||||
|
||||
!* Shortened notation
|
||||
matID = phase_constitutionInstance(material_phase(ipc,ip,el))
|
||||
n = constitutive_dislobased_Nslip(matID)
|
||||
!* Quantities derived from state - slip
|
||||
!* State: 1 : n rho
|
||||
!* n+1 : 2n rho_f
|
||||
!* 2n+1 : 3n rho_p
|
||||
!* 3n+1 : 4n passing stress
|
||||
!* 4n+1 : 5n jump width
|
||||
!* 5n+1 : 6n activation volume
|
||||
!* 6n+1 : 7n rho_m
|
||||
!* 7n+1 : 8n g0_slip
|
||||
ns = constitutive_dislobased_Nslip(matID)
|
||||
nt = constitutive_dislobased_Ntwin(matID)
|
||||
!* State: 1 : ns rho_ssd
|
||||
!* State: ns+1 : ns+nt f
|
||||
!* State: ns+nt+1 : 2*ns+nt rho_forest
|
||||
!* State: 2*ns+nt+1 : 3*ns+nt rho_parallel
|
||||
!* State: 3*ns+nt+1 : 4*ns+nt 1/lambda_slip
|
||||
!* State: 4*ns+nt+1 : 5*ns+nt 1/lambda_sliptwin
|
||||
!* State: 5*ns+nt+1 : 5*ns+2*nt 1/lambda_twin
|
||||
!* State: 5*ns+2*nt+1 : 6*ns+2*nt mfp_slip
|
||||
!* State: 6*ns+2*nt+1 : 6*ns+3*nt mfp_twin
|
||||
!* State: 6*ns+3*nt+1 : 7*ns+3*nt threshold_stress_slip
|
||||
!* State: 7*ns+3*nt+1 : 7*ns+4*nt threshold_stress_twin
|
||||
!* State: 7*ns+4*nt+1 : 8*ns+4*nt activation volume
|
||||
!* State: 8*ns+4*nt+1 : 8*ns+5*nt twin volume
|
||||
!* State: 8*ns+5*nt+1 : 9*ns+5*nt rho_mobile
|
||||
!* State: 9*ns+5*nt+1 : 10*ns+5*nt initial shear rate
|
||||
|
||||
!* Total twin volume fraction
|
||||
sumf = 0.0_pReal
|
||||
if (nt > 0_pInt) sumf = sum(state(ipc,ip,el)%p((ns+1):(ns+nt)))
|
||||
|
||||
!* Forest and parallel dislocation densities
|
||||
!$OMP CRITICAL (evilmatmul)
|
||||
state(ipc,ip,el)%p((n+1):(2*n)) = matmul(constitutive_dislobased_Iforest (1:n,1:n,matID),state(ipc,ip,el)%p(1:n))
|
||||
state(ipc,ip,el)%p((2*n+1):(3*n)) = matmul(constitutive_dislobased_Iparallel(1:n,1:n,matID),state(ipc,ip,el)%p(1:n))
|
||||
state(ipc,ip,el)%p((ns+nt+1):(2*ns+nt)) = matmul(constitutive_dislobased_Iforest (1:ns,1:ns,matID),state(ipc,ip,el)%p(1:ns))
|
||||
state(ipc,ip,el)%p((2*ns+nt+1):(3*ns+nt)) = matmul(constitutive_dislobased_Iparallel(1:ns,1:ns,matID),state(ipc,ip,el)%p(1:ns))
|
||||
!$OMP END CRITICAL (evilmatmul)
|
||||
|
||||
!* 1/mean free distance between 2 forest dislocations seen by a moving dislocation
|
||||
do i=1,ns
|
||||
state(ipc,ip,el)%p(3*ns+nt+i) = sqrt(state(ipc,ip,el)%p(ns+nt+i))
|
||||
enddo
|
||||
|
||||
!* 1/mean free distance between 2 twin stacks from different systems seen by a moving dislocation
|
||||
!$OMP CRITICAL (evilmatmul)
|
||||
state(ipc,ip,el)%p((4*ns+nt+1):(5*ns+nt)) = 0.0_pReal
|
||||
if (nt > 0_pInt) state(ipc,ip,el)%p((4*ns+nt+1):(5*ns+nt)) = &
|
||||
matmul(lattice_interactionSlipTwin(1:ns,1:nt,constitutive_dislobased_structure(matID)),state(ipc,ip,el)%p((ns+1):(ns+nt)))/&
|
||||
(2.0_pReal*constitutive_dislobased_stacksize(matID)*(1.0_pReal-sumf))
|
||||
!$OMP END CRITICAL (evilmatmul)
|
||||
|
||||
do i=1,n
|
||||
|
||||
state(ipc,ip,el)%p(3*n+i) = &
|
||||
constitutive_dislobased_c1(matID)*constitutive_dislobased_Gmod(matID)*&
|
||||
constitutive_dislobased_bg(matID)*sqrt(state(ipc,ip,el)%p(2*n+i))
|
||||
|
||||
state(ipc,ip,el)%p(4*n+i) = &
|
||||
constitutive_dislobased_c2(matID)/sqrt(state(ipc,ip,el)%p(n+i))
|
||||
|
||||
state(ipc,ip,el)%p(5*n+i) = &
|
||||
constitutive_dislobased_c3(matID)*state(ipc,ip,el)%p(4*n+i)*constitutive_dislobased_bg(matID)**2.0_pReal
|
||||
|
||||
state(ipc,ip,el)%p(6*n+i) = &
|
||||
(2.0_pReal*kB*Temperature)/(constitutive_dislobased_c1(matID)*constitutive_dislobased_c2(matID)*&
|
||||
constitutive_dislobased_c3(matID)*constitutive_dislobased_Gmod(matID)*constitutive_dislobased_bg(matID)**3.0_pReal)*&
|
||||
sqrt(state(ipc,ip,el)%p(n+i)*state(ipc,ip,el)%p(2*n+i))
|
||||
|
||||
state(ipc,ip,el)%p(7*n+i) = &
|
||||
state(ipc,ip,el)%p(6*n+i)*constitutive_dislobased_bg(matID)*attack_frequency*state(ipc,ip,el)%p(4*n+i)*&
|
||||
exp(-constitutive_dislobased_Qedge(matID)/(kB*Temperature))
|
||||
!* 1/mean free distance between 2 twin stacks from different systems seen by a growing twin
|
||||
!$OMP CRITICAL (evilmatmul)
|
||||
if (nt > 0_pInt) state(ipc,ip,el)%p((5*ns+nt+1):(5*ns+2*nt)) = &
|
||||
matmul(lattice_interactionTwinTwin(1:nt,1:nt,constitutive_dislobased_structure(matID)),state(ipc,ip,el)%p((ns+1):(ns+nt)))/&
|
||||
(2.0_pReal*constitutive_dislobased_stacksize(matID)*(1.0_pReal-sumf))
|
||||
!$OMP END CRITICAL (evilmatmul)
|
||||
|
||||
!* mean free path between 2 obstacles seen by a moving dislocation
|
||||
do i=1,ns
|
||||
if (nt > 0_pInt) then
|
||||
state(ipc,ip,el)%p(5*ns+2*nt+i) = (constitutive_dislobased_Cmfpslip(matID)*constitutive_dislobased_grainsize(matID))/&
|
||||
(1.0_pReal+constitutive_dislobased_grainsize(matID)*&
|
||||
(state(ipc,ip,el)%p(3*ns+nt+i)+state(ipc,ip,el)%p(4*ns+nt+i)))
|
||||
else
|
||||
state(ipc,ip,el)%p(5*ns+i) = (constitutive_dislobased_Cmfpslip(matID)*constitutive_dislobased_grainsize(matID))/&
|
||||
(1.0_pReal+constitutive_dislobased_grainsize(matID)*(state(ipc,ip,el)%p(3*ns+i)))
|
||||
endif
|
||||
enddo
|
||||
|
||||
!* mean free path between 2 obstacles seen by a growing twin
|
||||
do i=1,nt
|
||||
state(ipc,ip,el)%p(6*ns+2*nt+i) = (constitutive_dislobased_Cmfptwin(matID)*constitutive_dislobased_grainsize(matID))/&
|
||||
(1.0_pReal+constitutive_dislobased_grainsize(matID)*state(ipc,ip,el)%p(5*ns+nt+i))
|
||||
enddo
|
||||
|
||||
!* threshold stress for dislocation motion
|
||||
do i=1,ns
|
||||
state(ipc,ip,el)%p(6*ns+3*nt+i) = constitutive_dislobased_Cthresholdslip(matID)*&
|
||||
constitutive_dislobased_bg(matID)*constitutive_dislobased_Gmod(matID)*sqrt(state(ipc,ip,el)%p(2*ns+nt+i))
|
||||
enddo
|
||||
|
||||
!* threshold stress for growing twin
|
||||
do i=1,nt
|
||||
state(ipc,ip,el)%p(7*ns+3*nt+i) = constitutive_dislobased_Cthresholdtwin(matID)*(sqrt(3.0_pReal)/3.0_pReal)*(&
|
||||
(0.0002_pReal*Temperature-0.0396_pReal)/constitutive_dislobased_bg(matID)+&
|
||||
(constitutive_dislobased_bg(matID)*constitutive_dislobased_Gmod(matID))/state(ipc,ip,el)%p(5*ns+2*nt+i))
|
||||
enddo
|
||||
|
||||
!* activation volume for dislocation glide
|
||||
do i=1,ns
|
||||
state(ipc,ip,el)%p(7*ns+4*nt+i) = constitutive_dislobased_Cactivolume(matID)*&
|
||||
constitutive_dislobased_bg(matID)*constitutive_dislobased_bg(matID)*state(ipc,ip,el)%p(5*ns+2*nt+i)
|
||||
enddo
|
||||
|
||||
!* final twin volume after growth
|
||||
do i=1,nt
|
||||
state(ipc,ip,el)%p(8*ns+4*nt+i) = (pi/6.0_pReal)*constitutive_dislobased_stacksize(matID)*&
|
||||
state(ipc,ip,el)%p(6*ns+2*nt+i)*state(ipc,ip,el)%p(6*ns+2*nt+i)
|
||||
enddo
|
||||
|
||||
!* mobile dislocation densities
|
||||
do i=1,ns
|
||||
state(ipc,ip,el)%p(8*ns+5*nt+i) = (2.0_pReal*kB*Temperature*state(ipc,ip,el)%p(2*ns+nt+i))/&
|
||||
(state(ipc,ip,el)%p(6*ns+3*nt+i)*state(ipc,ip,el)%p(7*ns+4*nt+i))
|
||||
enddo
|
||||
|
||||
!* initial shear rate for slip
|
||||
do i=1,ns
|
||||
state(ipc,ip,el)%p(9*ns+5*nt+i) = state(ipc,ip,el)%p(8*ns+5*nt+i)*constitutive_dislobased_bg(matID)*attack_frequency*&
|
||||
state(ipc,ip,el)%p(5*ns+2*nt+i)*exp(-constitutive_dislobased_Qedge(matID)/(kB*Temperature))
|
||||
enddo
|
||||
|
||||
end subroutine
|
||||
|
||||
|
||||
subroutine constitutive_dislobased_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Temperature,state,ipc,ip,el)
|
||||
!*********************************************************************
|
||||
!* plastic velocity gradient and its tangent *
|
||||
!* calculates plastic velocity gradient and its tangent *
|
||||
!* INPUT: *
|
||||
!* - Temperature : temperature *
|
||||
!* - state : microstructure quantities *
|
||||
!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
|
||||
!* - ipc : component-ID at current integration point *
|
||||
!* - ip : current integration point *
|
||||
|
|
@ -427,18 +526,17 @@ subroutine constitutive_dislobased_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Tempera
|
|||
!* - Lp : plastic velocity gradient *
|
||||
!* - dLp_dTstar : derivative of Lp (4th-rank tensor) *
|
||||
!*********************************************************************
|
||||
use prec, only: pReal,pInt,p_vec
|
||||
use math, only: math_Plain3333to99
|
||||
use lattice, only: lattice_Sslip,lattice_Sslip_v
|
||||
use mesh, only: mesh_NcpElems,mesh_maxNips
|
||||
use prec, only: pReal,pInt,p_vec
|
||||
use math, only: math_Plain3333to99
|
||||
use mesh, only: mesh_NcpElems,mesh_maxNips
|
||||
use material, only: homogenization_maxNgrains,material_phase, phase_constitutionInstance
|
||||
|
||||
use lattice, only: lattice_Sslip,lattice_Stwin,lattice_Sslip_v,lattice_Stwin_v,lattice_shearTwin
|
||||
implicit none
|
||||
|
||||
!* Definition of variables
|
||||
!* Definition of variables
|
||||
integer(pInt) ipc,ip,el
|
||||
integer(pInt) matID,i,k,l,m,n
|
||||
real(pReal) Temperature
|
||||
integer(pInt) matID,i,k,l,m,n,ns,nt
|
||||
real(pReal) Temperature,sumf
|
||||
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: state
|
||||
real(pReal), dimension(6) :: Tstar_v
|
||||
real(pReal), dimension(3,3) :: Lp
|
||||
|
|
@ -446,37 +544,71 @@ subroutine constitutive_dislobased_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,Tempera
|
|||
real(pReal), dimension(9,9) :: dLp_dTstar
|
||||
real(pReal), dimension(constitutive_dislobased_Nslip(phase_constitutionInstance(material_phase(ipc,ip,el)))) :: &
|
||||
gdot_slip,dgdot_dtauslip,tau_slip
|
||||
real(pReal), dimension(constitutive_dislobased_Ntwin(phase_constitutionInstance(material_phase(ipc,ip,el)))) :: &
|
||||
gdot_twin,dgdot_dtautwin,tau_twin
|
||||
|
||||
!* Shortened notation
|
||||
matID = phase_constitutionInstance(material_phase(ipc,ip,el))
|
||||
n = constitutive_dislobased_Nslip(matID)
|
||||
ns = constitutive_dislobased_Nslip(matID)
|
||||
nt = constitutive_dislobased_Ntwin(matID)
|
||||
|
||||
!* Calculation of Lp
|
||||
!* Total twin volume fraction
|
||||
sumf = 0.0_pReal
|
||||
if (nt > 0_pInt) sumf = sum(state(ipc,ip,el)%p((ns+1):(ns+nt)))
|
||||
|
||||
!* Calculation of Lp from dislocation glide
|
||||
Lp = 0.0_pReal
|
||||
gdot_slip = 0.0_pReal
|
||||
do i = 1,constitutive_dislobased_Nslip(matID)
|
||||
tau_slip(i) = dot_product(Tstar_v,lattice_Sslip_v(:,i,constitutive_dislobased_structure(matID)))
|
||||
do i = 1,ns
|
||||
tau_slip(i) = dot_product(Tstar_v,lattice_Sslip_v(:,i,constitutive_dislobased_structure(matID)))
|
||||
|
||||
if (abs(tau_slip(i))-state(ipc,ip,el)%p(3*n+i)>0) &
|
||||
gdot_slip(i) = state(ipc,ip,el)%p(7*n+i)*sign(1.0_pReal,tau_slip(i))*&
|
||||
sinh(((abs(tau_slip(i))-state(ipc,ip,el)%p(3*n+i))*state(ipc,ip,el)%p(5*n+i))/(kB*Temperature) )
|
||||
if ( abs(tau_slip(i)) > state(ipc,ip,el)%p(6*ns+3*nt+i) ) &
|
||||
gdot_slip(i) = state(ipc,ip,el)%p(9*ns+5*nt+i)*sign(1.0_pReal,tau_slip(i))*&
|
||||
sinh(((abs(tau_slip(i))-state(ipc,ip,el)%p(6*ns+3*nt+i))*state(ipc,ip,el)%p(7*ns+4*nt+i))/(kB*Temperature))
|
||||
|
||||
Lp = Lp + gdot_slip(i)*lattice_Sslip(:,:,i,constitutive_dislobased_structure(matID))
|
||||
Lp = Lp + (1.0_pReal - sumf)*gdot_slip(i)*lattice_Sslip(:,:,i,constitutive_dislobased_structure(matID))
|
||||
enddo
|
||||
|
||||
!* Calculation of the tangent of Lp
|
||||
!* Calculation of Lp from deformation twinning
|
||||
gdot_twin = 0.0_pReal
|
||||
do i = 1,nt
|
||||
tau_twin(i) = dot_product(Tstar_v,lattice_Stwin_v(:,i,constitutive_dislobased_structure(matID)))
|
||||
|
||||
if ( tau_twin(i) > 0.0_pReal ) &
|
||||
gdot_twin(i) = (constitutive_dislobased_fmax(matID) - sumf)*lattice_shearTwin(i,constitutive_dislobased_structure(matID))*&
|
||||
state(ipc,ip,el)%p(8*ns+4*nt+i)*constitutive_dislobased_Ndot0(matID)*&
|
||||
exp(-(state(ipc,ip,el)%p(7*ns+3*nt+i)/tau_twin(i))**10.0_pReal)
|
||||
|
||||
Lp = Lp + gdot_twin(i)*lattice_Stwin(:,:,i,constitutive_dislobased_structure(matID))
|
||||
enddo
|
||||
|
||||
!* Calculation of the tangent of Lp from dislocation glide
|
||||
dLp_dTstar3333 = 0.0_pReal
|
||||
dLp_dTstar = 0.0_pReal
|
||||
dgdot_dtauslip = 0.0_pReal
|
||||
do i = 1,constitutive_dislobased_Nslip(matID)
|
||||
do i = 1,ns
|
||||
|
||||
if ((abs(tau_slip(i))-state(ipc,ip,el)%p(3*n+i))>0) &
|
||||
dgdot_dtauslip(i) = (state(ipc,ip,el)%p(7*n+i)*state(ipc,ip,el)%p(5*n+i))/(kB*Temperature)*&
|
||||
cosh(((abs(tau_slip(i))-state(ipc,ip,el)%p(3*n+i))*state(ipc,ip,el)%p(5*n+i))/(kB*Temperature))
|
||||
if ( abs(tau_slip(i)) > state(ipc,ip,el)%p(6*ns+3*nt+i) ) &
|
||||
dgdot_dtauslip(i) = (state(ipc,ip,el)%p(9*ns+5*nt+i)*state(ipc,ip,el)%p(7*ns+4*nt+i))/(kB*Temperature)*&
|
||||
cosh(((abs(tau_slip(i))-state(ipc,ip,el)%p(6*ns+3*nt+i))*state(ipc,ip,el)%p(7*ns+4*nt+i))/(kB*Temperature))
|
||||
|
||||
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,constitutive_dislobased_structure(matID))* &
|
||||
lattice_Sslip(m,n,i,constitutive_dislobased_structure(matID))
|
||||
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,constitutive_dislobased_structure(matID))&
|
||||
*lattice_Sslip(m,n,i,constitutive_dislobased_structure(matID))
|
||||
enddo
|
||||
|
||||
!* Calculation of the tangent of Lp from deformation twinning
|
||||
dgdot_dtautwin = 0.0_pReal
|
||||
do i = 1,nt
|
||||
|
||||
if ( tau_twin(i) > 0.0_pReal ) &
|
||||
dgdot_dtautwin(i) = (gdot_twin(i)*10.0_pReal*state(ipc,ip,el)%p(7*ns+3*nt+i)**10.0_pReal)/(tau_twin(i)**11.0_pReal)
|
||||
|
||||
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
|
||||
dLp_dTstar3333(k,l,m,n) = dLp_dTstar3333(k,l,m,n) + &
|
||||
dgdot_dtautwin(i)*lattice_Stwin(k,l,i,constitutive_dislobased_structure(matID)) &
|
||||
*lattice_Stwin(m,n,i,constitutive_dislobased_structure(matID))
|
||||
enddo
|
||||
dLp_dTstar = math_Plain3333to99(dLp_dTstar3333)
|
||||
|
||||
|
|
@ -488,6 +620,8 @@ function constitutive_dislobased_dotState(Tstar_v,Temperature,state,ipc,ip,el)
|
|||
!*********************************************************************
|
||||
!* rate of change of microstructure *
|
||||
!* INPUT: *
|
||||
!* - Temperature : temperature *
|
||||
!* - state : microstructure quantities *
|
||||
!* - Tstar_v : 2nd Piola Kirchhoff stress tensor (Mandel) *
|
||||
!* - ipc : component-ID at current integration point *
|
||||
!* - ip : current integration point *
|
||||
|
|
@ -495,43 +629,61 @@ function constitutive_dislobased_dotState(Tstar_v,Temperature,state,ipc,ip,el)
|
|||
!* OUTPUT: *
|
||||
!* - constitutive_dotState : evolution of state variable *
|
||||
!*********************************************************************
|
||||
use prec, only: pReal,pInt,p_vec
|
||||
use lattice, only: lattice_Sslip_v
|
||||
use mesh, only: mesh_NcpElems,mesh_maxNips
|
||||
use prec, only: pReal,pInt,p_vec
|
||||
use mesh, only: mesh_NcpElems,mesh_maxNips
|
||||
use material, only: homogenization_maxNgrains,material_phase, phase_constitutionInstance
|
||||
use lattice, only: lattice_Sslip_v,lattice_Stwin_v
|
||||
implicit none
|
||||
|
||||
!* Definition of variables
|
||||
integer(pInt) ipc,ip,el
|
||||
integer(pInt) matID,i,n
|
||||
real(pReal) Temperature,tau_slip,gdot_slip,locks,athermal_recovery,thermal_recovery
|
||||
integer(pInt) matID,i,ns,nt
|
||||
real(pReal) Temperature,sumf,tau_slip,tau_twin,gdot_slip,gdot_twin,storage,arecovery
|
||||
type(p_vec), dimension(homogenization_maxNgrains,mesh_maxNips,mesh_NcpElems) :: state
|
||||
real(pReal), dimension(6) :: Tstar_v
|
||||
real(pReal), dimension(constitutive_dislobased_Nslip(phase_constitutionInstance(material_phase(ipc,ip,el)))) :: &
|
||||
real(pReal), dimension(constitutive_dislobased_sizeDotState(phase_constitutionInstance(material_phase(ipc,ip,el)))) :: &
|
||||
constitutive_dislobased_dotState
|
||||
|
||||
|
||||
!* Shortened notation
|
||||
matID = phase_constitutionInstance(material_phase(ipc,ip,el))
|
||||
n = constitutive_dislobased_Nslip(matID)
|
||||
ns = constitutive_dislobased_Nslip(matID)
|
||||
nt = constitutive_dislobased_Ntwin(matID)
|
||||
|
||||
!* Dislocation density evolution
|
||||
!* Total twin volume fraction
|
||||
sumf = 0.0_pReal
|
||||
if (nt > 0_pInt) sumf = sum(state(ipc,ip,el)%p((ns+1):(ns+nt)))
|
||||
|
||||
!* Dislocation density evolution
|
||||
constitutive_dislobased_dotState = 0.0_pReal
|
||||
do i = 1,n
|
||||
do i = 1,ns
|
||||
|
||||
tau_slip = dot_product(Tstar_v,lattice_Sslip_v(:,i,constitutive_dislobased_structure(matID)))
|
||||
|
||||
if (abs(tau_slip) > state(ipc,ip,el)%p(3*n+i)) then
|
||||
gdot_slip = state(ipc,ip,el)%p(7*n+i)*sign(1.0_pReal,tau_slip)*&
|
||||
sinh(((abs(tau_slip)-state(ipc,ip,el)%p(3*n+i))*state(ipc,ip,el)%p(5*n+i))/(kB*Temperature))
|
||||
if ( abs(tau_slip) > state(ipc,ip,el)%p(6*ns+3*nt+i) ) then
|
||||
gdot_slip = state(ipc,ip,el)%p(9*ns+5*nt+i)*sign(1.0_pReal,tau_slip)*&
|
||||
sinh(((abs(tau_slip)-state(ipc,ip,el)%p(6*ns+3*nt+i))*state(ipc,ip,el)%p(7*ns+4*nt+i))/(kB*Temperature) )
|
||||
|
||||
locks = (sqrt(state(ipc,ip,el)%p(n+i))*abs(gdot_slip))/&
|
||||
(constitutive_dislobased_c4(matID)*constitutive_dislobased_bg(matID))
|
||||
storage = (constitutive_dislobased_Cstorage(matID)*abs(gdot_slip))/&
|
||||
(constitutive_dislobased_bg(matID)*state(ipc,ip,el)%p(5*ns+2*nt+i))
|
||||
|
||||
athermal_recovery = constitutive_dislobased_c7(matID)*state(ipc,ip,el)%p(i)*abs(gdot_slip)
|
||||
arecovery = constitutive_dislobased_Carecovery(matID)*state(ipc,ip,el)%p(i)*abs(gdot_slip)
|
||||
|
||||
constitutive_dislobased_dotState(i) = locks - athermal_recovery
|
||||
constitutive_dislobased_dotState(i) = storage - arecovery
|
||||
endif
|
||||
enddo
|
||||
|
||||
!* Twin volume fraction evolution
|
||||
do i = 1,nt
|
||||
|
||||
tau_twin = dot_product(Tstar_v,lattice_Stwin_v(:,i,constitutive_dislobased_structure(matID)))
|
||||
|
||||
if ( tau_twin > 0.0_pReal ) &
|
||||
constitutive_dislobased_dotState(ns+i) = (constitutive_dislobased_fmax(matID) - sumf)*&
|
||||
state(ipc,ip,el)%p(8*ns+4*nt+i)*constitutive_dislobased_Ndot0(matID)*&
|
||||
exp(-(state(ipc,ip,el)%p(7*ns+3*nt+i)/tau_twin)**10.0_pReal)
|
||||
|
||||
enddo
|
||||
|
||||
return
|
||||
end function
|
||||
|
||||
|
|
@ -547,9 +699,9 @@ function constitutive_dislobased_dotTemperature(Tstar_v,Temperature,state,ipc,ip
|
|||
!* OUTPUT: *
|
||||
!* - constitutive_dotTemperature : evolution of Temperature *
|
||||
!*********************************************************************
|
||||
use prec, only: pReal,pInt,p_vec
|
||||
use lattice, only: lattice_Sslip_v
|
||||
use mesh, only: mesh_NcpElems,mesh_maxNips
|
||||
use prec, only: pReal,pInt,p_vec
|
||||
use lattice, only: lattice_Sslip_v
|
||||
use mesh, only: mesh_NcpElems,mesh_maxNips
|
||||
use material, only: homogenization_maxNgrains,material_phase, phase_constitutionInstance
|
||||
implicit none
|
||||
|
||||
|
|
@ -577,9 +729,9 @@ pure function constitutive_dislobased_postResults(Tstar_v,Temperature,dt,state,i
|
|||
!* - ip : current integration point *
|
||||
!* - el : current element *
|
||||
!*********************************************************************
|
||||
use prec, only: pReal,pInt,p_vec
|
||||
use lattice, only: lattice_Sslip_v
|
||||
use mesh, only: mesh_NcpElems,mesh_maxNips
|
||||
use prec, only: pReal,pInt,p_vec
|
||||
use lattice, only: lattice_Sslip_v,lattice_Stwin_v,lattice_shearTwin
|
||||
use mesh, only: mesh_NcpElems,mesh_maxNips
|
||||
use material, only: homogenization_maxNgrains,material_phase,phase_constitutionInstance,phase_Noutput
|
||||
implicit none
|
||||
|
||||
|
|
@ -588,40 +740,85 @@ pure function constitutive_dislobased_postResults(Tstar_v,Temperature,dt,state,i
|
|||
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,o,i,c,n
|
||||
real(pReal) tau_slip
|
||||
integer(pInt) matID,o,i,c,ns,nt
|
||||
real(pReal) sumf,tau_slip,tau_twin
|
||||
real(pReal), dimension(constitutive_dislobased_sizePostResults(phase_constitutionInstance(material_phase(ipc,ip,el)))) :: &
|
||||
constitutive_dislobased_postResults
|
||||
|
||||
!* Shortened notation
|
||||
matID = phase_constitutionInstance(material_phase(ipc,ip,el))
|
||||
n = constitutive_dislobased_Nslip(matID)
|
||||
ns = constitutive_dislobased_Nslip(matID)
|
||||
nt = constitutive_dislobased_Ntwin(matID)
|
||||
|
||||
!* Total twin volume fraction
|
||||
sumf = 0.0_pReal
|
||||
if (nt > 0_pInt) sumf = sum(state(ipc,ip,el)%p((ns+1):(ns+nt)))
|
||||
|
||||
!* Required output
|
||||
c = 0_pInt
|
||||
constitutive_dislobased_postResults = 0.0_pReal
|
||||
|
||||
do o = 1,phase_Noutput(material_phase(ipc,ip,el))
|
||||
select case(constitutive_dislobased_output(o,matID))
|
||||
|
||||
case ('dislodensity')
|
||||
constitutive_dislobased_postResults(c+1:c+n) = state(ipc,ip,el)%p(6*n+1:7*n)
|
||||
c = c + n
|
||||
case ('state_slip')
|
||||
constitutive_dislobased_postResults(c+1:c+ns) = state(ipc,ip,el)%p(1:ns)
|
||||
c = c + ns
|
||||
|
||||
case ('rateofshear')
|
||||
do i = 1,n
|
||||
case ('rateofshear_slip')
|
||||
do i = 1,ns
|
||||
tau_slip = dot_product(Tstar_v,lattice_Sslip_v(:,i,constitutive_dislobased_structure(matID)))
|
||||
if ((abs(tau_slip)-state(ipc,ip,el)%p(3*n+i))>0) then
|
||||
constitutive_dislobased_postResults(c+i) = state(ipc,ip,el)%p(7*n+i)*sign(1.0_pReal,tau_slip)*&
|
||||
sinh(((abs(tau_slip)-state(ipc,ip,el)%p(3*n+i))*state(ipc,ip,el)%p(5*n+i))/(kB*Temperature))
|
||||
|
||||
if ( abs(tau_slip) > state(ipc,ip,el)%p(6*ns+3*nt+i) ) then
|
||||
constitutive_dislobased_postResults(c+i) = state(ipc,ip,el)%p(9*ns+5*nt+i)*sign(1.0_pReal,tau_slip)*&
|
||||
sinh(((abs(tau_slip)-state(ipc,ip,el)%p(6*ns+3*nt+i))*state(ipc,ip,el)%p(7*ns+4*nt+i))/(kB*Temperature) )
|
||||
else
|
||||
constitutive_dislobased_postResults(c+i) = 0.0_pReal
|
||||
endif
|
||||
constitutive_dislobased_postResults(c+i) = 0.0_pReal
|
||||
endif
|
||||
enddo
|
||||
c = c + n
|
||||
c = c + ns
|
||||
|
||||
case ('mfp_slip')
|
||||
constitutive_dislobased_postResults(c+1:c+ns) = state(ipc,ip,el)%p((5*ns+2*nt+1):(6*ns+2*nt))
|
||||
c = c + ns
|
||||
|
||||
case ('thresholdstress_slip')
|
||||
constitutive_dislobased_postResults(c+1:c+ns) = state(ipc,ip,el)%p((6*ns+3*nt+1):(7*ns+3*nt))
|
||||
c = c + ns
|
||||
|
||||
case ('state_twin')
|
||||
if (nt > 0_pInt) constitutive_dislobased_postResults(c+1:c+nt) = state(ipc,ip,el)%p((ns+1):(ns+nt))
|
||||
c = c + nt
|
||||
|
||||
case ('rateofshear_twin')
|
||||
if (nt > 0_pInt) then
|
||||
do i = 1,nt
|
||||
tau_twin = dot_product(Tstar_v,lattice_Stwin_v(:,i,constitutive_dislobased_structure(matID)))
|
||||
|
||||
if ( tau_twin > 0.0_pReal ) then
|
||||
constitutive_dislobased_postResults(c+i) = (constitutive_dislobased_fmax(matID) - sumf)*&
|
||||
lattice_shearTwin(i,constitutive_dislobased_structure(matID))*&
|
||||
state(ipc,ip,el)%p(8*ns+4*nt+i)*constitutive_dislobased_Ndot0(matID)*&
|
||||
exp(-(state(ipc,ip,el)%p(7*ns+3*nt+i)/tau_twin)**10.0_pReal)
|
||||
else
|
||||
constitutive_dislobased_postResults(c+i) = 0.0_pReal
|
||||
endif
|
||||
enddo
|
||||
endif
|
||||
c = c + nt
|
||||
|
||||
case ('mfp_twin')
|
||||
if (nt > 0_pInt) constitutive_dislobased_postResults(c+1:c+nt) = state(ipc,ip,el)%p((6*ns+2*nt+1):(6*ns+3*nt))
|
||||
c = c + nt
|
||||
|
||||
case ('thresholdstress_twin')
|
||||
if (nt > 0_pInt) constitutive_dislobased_postResults(c+1:c+nt) = state(ipc,ip,el)%p((7*ns+3*nt+1):(7*ns+4*nt))
|
||||
c = c + nt
|
||||
|
||||
end select
|
||||
enddo
|
||||
|
||||
return
|
||||
|
||||
end function
|
||||
|
||||
END MODULE
|
||||
Loading…
Reference in New Issue