In dislo:
- model for stacking fault energy computation w.r.t temperature and orientation - classical thermodynamical approach to twin nucleation (delta_E) - rename some parameters In crystallite: - add msg='ok', even if components in consistent tangent are not re-computed - allow for pseudo-convergence in the outer-loop (case of slow convergence of dislocation densities) in mattex: - add new parameters
This commit is contained in:
Luc Hantcherli
parent
2472de77c2
commit
434ac7f06e
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@ -24,6 +24,10 @@ character(len=300), parameter :: mattexFile = 'mattex.mpie'
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real(pReal), parameter :: attack_frequency = 1.0e10_pReal
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!* Physical parameter, Boltzmann constant in J/Kelvin
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real(pReal), parameter :: kB = 1.38e-23_pReal
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!* Physical parameter, Avogadro number in 1/mol
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real(pReal), parameter :: avogadro = 6.022e23_pReal
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!* Physical parameter, Gaz constant in J.mol/Kelvin
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real(pReal), parameter :: Rgaz = 8.314_pReal
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!*************************************
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!* Definition of material properties *
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@ -31,7 +35,7 @@ real(pReal), parameter :: kB = 1.38e-23_pReal
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!* Number of materials
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integer(pInt) material_maxN
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!* Lattice structure and number of selected slip or twin systems per material
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integer(pInt), dimension(:) , allocatable :: material_LatticeStructure
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integer(pInt), dimension(:) , allocatable :: material_CrystalStructure
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integer(pInt), dimension(:) , allocatable :: material_Nslip
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integer(pInt), dimension(:) , allocatable :: material_Ntwin
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!* Maximum number of selected slip or twin systems over materials
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@ -47,15 +51,15 @@ real(pReal), dimension(:) , allocatable :: material_Gmod
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real(pReal), dimension(:,:,:) , allocatable :: material_Cslip_66
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real(preal), dimension(:,:,:,:) , allocatable :: material_Ctwin_66
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!* Visco-plastic material parameters
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real(pReal) material_sfe
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real(pReal), dimension(:) , allocatable :: material_rho0
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real(pReal), dimension(:) , allocatable :: material_bg
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real(pReal), dimension(:) , allocatable :: material_Qedge
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real(pReal), dimension(:) , allocatable :: material_tau0
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real(pReal), dimension(:) , allocatable :: material_GrainSize
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real(pReal), dimension(:) , allocatable :: material_StackSize
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real(pReal), dimension(:) , allocatable :: material_ActivationLength
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real(pReal), dimension(:) , allocatable :: material_TwinSaturation
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real(pReal), dimension(:) , allocatable :: material_twin_res
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real(pReal), dimension(:) , allocatable :: material_SiteScaling
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real(pReal), dimension(:) , allocatable :: material_c1
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real(pReal), dimension(:) , allocatable :: material_c2
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real(pReal), dimension(:) , allocatable :: material_c3
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@ -63,8 +67,8 @@ real(pReal), dimension(:) , allocatable :: material_c4
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real(pReal), dimension(:) , allocatable :: material_c5
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real(pReal), dimension(:) , allocatable :: material_c6
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real(pReal), dimension(:) , allocatable :: material_c7
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real(pReal), dimension(:) , allocatable :: material_c8
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real(pReal), dimension(:) , allocatable :: material_c9
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real(pReal), dimension(:) , allocatable :: material_q1
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real(pReal), dimension(:) , allocatable :: material_q2
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real(pReal), dimension(:,:) , allocatable :: material_SlipIntCoeff
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!************************************
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@ -126,7 +130,8 @@ real(pReal), dimension(:) , allocatable :: constitutive_rho_f
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real(pReal), dimension(:) , allocatable :: constitutive_rho_p
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real(pReal), dimension(:) , allocatable :: constitutive_g0_slip
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real(pReal), dimension(:) , allocatable :: constitutive_twin_volume
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real(pReal), dimension(:) , allocatable :: constitutive_inv_intertwin_len
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real(pReal), dimension(:) , allocatable :: constitutive_inv_intertwin_len_s
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real(pReal), dimension(:) , allocatable :: constitutive_inv_intertwin_len_t
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real(pReal), dimension(:) , allocatable :: constitutive_twin_mfp
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!************************************
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@ -318,8 +323,8 @@ do while(.true.)
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!$OMP CRITICAL (write2out)
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select case(tag)
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case ('lattice_structure')
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material_LatticeStructure(section)=IO_intValue(line,positions,2)
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write(6,*) 'lattice_structure', material_LatticeStructure(section)
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material_CrystalStructure(section)=IO_intValue(line,positions,2)
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write(6,*) 'lattice_structure', material_CrystalStructure(section)
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case ('nslip')
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material_Nslip(section)=IO_intValue(line,positions,2)
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write(6,*) 'nslip', material_Nslip(section)
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@ -355,24 +360,18 @@ do while(.true.)
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case ('qedge')
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material_Qedge(section)=IO_floatValue(line,positions,2)
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write(6,*) 'Qedge', material_Qedge(section)
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case ('tau0')
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material_tau0(section)=IO_floatValue(line,positions,2)
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write(6,*) 'tau0', material_tau0(section)
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case ('grain_size')
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material_GrainSize(section)=IO_floatValue(line,positions,2)
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write(6,*) 'grain_size', material_GrainSize(section)
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case ('stack_size')
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material_StackSize(section)=IO_floatValue(line,positions,2)
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write(6,*) 'stack_size', material_StackSize(section)
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case ('d_star')
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material_ActivationLength(section)=IO_floatValue(line,positions,2)
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write(6,*) 'activation length', material_ActivationLength(section)
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case ('f_sat')
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material_TwinSaturation(section)=IO_floatValue(line,positions,2)
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write(6,*) 'twin saturation', material_TwinSaturation(section)
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case ('twin_resistance')
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material_twin_res(section)=IO_floatValue(line,positions,2)
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write(6,*) 'twin_resistance', material_twin_res(section)
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case ('site_scaling')
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material_SiteScaling(section)=IO_floatValue(line,positions,2)
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write(6,*) 'site_scaling', material_SiteScaling(section)
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case ('c1')
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material_c1(section)=IO_floatValue(line,positions,2)
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write(6,*) 'c1', material_c1(section)
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@ -394,12 +393,12 @@ do while(.true.)
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case ('c7')
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material_c7(section)=IO_floatValue(line,positions,2)
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write(6,*) 'c7', material_c7(section)
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case ('c8')
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material_c8(section)=IO_floatValue(line,positions,2)
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write(6,*) 'c8', material_c8(section)
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case ('c9')
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material_c9(section)=IO_floatValue(line,positions,2)
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write(6,*) 'c9', material_c9(section)
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case ('q1')
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material_q1(section)=IO_floatValue(line,positions,2)
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write(6,*) 'q1', material_q1(section)
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case ('q2')
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material_q2(section)=IO_floatValue(line,positions,2)
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write(6,*) 'q2', material_q2(section)
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end select
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!$OMP END CRITICAL (write2out)
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endif
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@ -536,7 +535,7 @@ do while (part/='')
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end select
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enddo
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!* Array allocation
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allocate(material_LatticeStructure(material_maxN)) ; material_LatticeStructure=0_pInt
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allocate(material_CrystalStructure(material_maxN)) ; material_CrystalStructure=0_pInt
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allocate(material_Nslip(material_maxN)) ; material_Nslip=0_pInt
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allocate(material_Ntwin(material_maxN)) ; material_Ntwin=0_pInt
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allocate(material_C11(material_maxN)) ; material_C11=0.0_pReal
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@ -551,12 +550,11 @@ allocate(material_rho0(material_maxN)) ; mate
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allocate(material_SlipIntCoeff(lattice_MaxMaxNslipOfStructure,material_maxN)) ; material_SlipIntCoeff=0.0_pReal
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allocate(material_bg(material_maxN)) ; material_bg=0.0_pReal
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allocate(material_Qedge(material_maxN)) ; material_Qedge=0.0_pReal
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allocate(material_tau0(material_maxN)) ; material_tau0=0.0_pReal
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allocate(material_GrainSize(material_maxN)) ; material_GrainSize=0.0_pReal
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allocate(material_StackSize(material_maxN)) ; material_StackSize=0.0_pReal
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allocate(material_ActivationLength(material_maxN)) ; material_ActivationLength=0.0_pReal
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allocate(material_TwinSaturation(material_maxN)) ; material_TwinSaturation=0.0_pReal
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allocate(material_twin_res(material_maxN)) ; material_twin_res=0.0_pReal
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allocate(material_SiteScaling(material_maxN)) ; material_SiteScaling=0.0_pReal
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allocate(material_c1(material_maxN)) ; material_c1=0.0_pReal
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allocate(material_c2(material_maxN)) ; material_c2=0.0_pReal
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allocate(material_c3(material_maxN)) ; material_c3=0.0_pReal
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@ -564,8 +562,8 @@ allocate(material_c4(material_maxN))
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allocate(material_c5(material_maxN)) ; material_c5=0.0_pReal
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allocate(material_c6(material_maxN)) ; material_c6=0.0_pReal
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allocate(material_c7(material_maxN)) ; material_c7=0.0_pReal
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allocate(material_c8(material_maxN)) ; material_c8=0.0_pReal
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allocate(material_c9(material_maxN)) ; material_c9=0.0_pReal
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allocate(material_q1(material_maxN)) ; material_q1=0.0_pReal
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allocate(material_q2(material_maxN)) ; material_q2=0.0_pReal
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allocate(texture_ODFfile(texture_maxN)) ; texture_ODFfile=''
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allocate(texture_Ngrains(texture_maxN)) ; texture_Ngrains=0_pInt
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allocate(texture_symmetry(texture_maxN)) ; texture_symmetry=''
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@ -612,7 +610,7 @@ close(fileunit)
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!* Construction of the elasticity matrices
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do i=1,material_maxN
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select case (material_LatticeStructure(i))
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select case (material_CrystalStructure(i))
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case(1:2) ! cubic(s)
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material_Gmod(i)=material_C44(i)
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forall(k=1:3)
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@ -711,7 +709,7 @@ material_maxNslip = maxval(material_Nslip) ! max of slip systems among mat
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material_maxNtwin = maxval(material_Ntwin) ! max of twin systems among materials present
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constitutive_maxNstatevars = maxval(material_Nslip) + maxval(material_Ntwin)
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! -----------------------------------------------------------------------------------------------------------------------
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constitutive_maxNresults = 24_pInt
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constitutive_maxNresults = 2_pInt
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! -----------------------------------------------------------------------------------------------------------------------
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@ -754,7 +752,8 @@ allocate(constitutive_jump_width(material_maxNslip)) ; constitutive_jump_
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allocate(constitutive_activation_volume(material_maxNslip)) ; constitutive_activation_volume=0.0_pReal
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allocate(constitutive_g0_slip(material_maxNslip)) ; constitutive_g0_slip=0.0_pReal
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allocate(constitutive_twin_volume(material_maxNtwin)) ; constitutive_twin_volume=0.0_pReal
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allocate(constitutive_inv_intertwin_len(material_maxNtwin)) ; constitutive_inv_intertwin_len=0.0_pReal
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allocate(constitutive_inv_intertwin_len_s(material_maxNslip)) ; constitutive_inv_intertwin_len_s=0.0_pReal
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allocate(constitutive_inv_intertwin_len_t(material_maxNtwin)) ; constitutive_inv_intertwin_len_t=0.0_pReal
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allocate(constitutive_twin_mfp(material_maxNtwin)) ; constitutive_twin_mfp=0.0_pReal
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allocate(constitutive_tau_slip(material_maxNslip)) ; constitutive_tau_slip=0.0_pReal
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allocate(constitutive_tau_twin(material_maxNtwin)) ; constitutive_tau_twin=0.0_pReal
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@ -812,7 +811,7 @@ do e=1,mesh_NcpElems
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constitutive_TexVolFrac(g,i,e) = texVolfrac(s)/multiplicity(texID)/Nsym(texID)
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constitutive_Nstatevars(g,i,e) = material_Nslip(matID) + material_Ntwin(matID)! number of state variables (i.e. tau_c of each slip system)
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! -----------------------------------------------------------------------------------------------------------------------
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constitutive_Nresults(g,i,e) = 24 ! number of constitutive results output by constitutive_post_results
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constitutive_Nresults(g,i,e) = 2 ! number of constitutive results output by constitutive_post_results
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! -----------------------------------------------------------------------------------------------------------------------
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constitutive_EulerAngles(:,g,i,e) = Euler(:,s) ! store initial orientation
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forall (l=1:material_Nslip(matID)) ! initialize state variables
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@ -829,7 +828,7 @@ enddo ! cp_element
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do i=1,material_maxN
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C_3333=math_Mandel66to3333(material_Cslip_66(:,:,i))
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do j=1,material_Ntwin(i)
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Qtwin=lattice_Qtwin(:,:,j,material_LatticeStructure(i))
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Qtwin=lattice_Qtwin(:,:,j,material_CrystalStructure(i))
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do k=1,3
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do l=1,3
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do m=1,3
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@ -872,6 +871,7 @@ do i=1,material_maxN
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enddo
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enddo
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end subroutine
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@ -920,7 +920,7 @@ subroutine constitutive_Microstructure(state,Tp,ipc,ip,el)
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!*********************************************************************
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use prec, only: pReal,pInt
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use math, only: pi
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use lattice, only: lattice_TwinIntType
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use lattice, only: lattice_TwinIntType,lattice_SlipTwinIntType
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implicit none
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!* Definition of variables
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@ -928,6 +928,8 @@ integer(pInt) ipc,ip,el
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integer(pInt) matID,i,j,startIdxTwin
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real(pReal) Tp,Ftwin
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real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: state
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real(pReal) x_fe,x_Mn,x_C,beta_mart,Tp_mart,f_mart,beta_aust,Tp_aust,f_aust
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real(pReal) deltaG1,deltaG2,deltaG3,deltaG4,deltaG5
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!* Get the material-ID from the triplet(ipc,ip,el)
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matID = constitutive_matID(ipc,ip,el)
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@ -936,10 +938,10 @@ startIdxTwin = material_Nslip(matID)
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!* Quantities derived from state - slip
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!$OMP CRITICAL (evilmatmul)
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constitutive_rho_f=matmul(constitutive_Pforest (1:material_Nslip(matID),1:material_Nslip(matID),matID),state)
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constitutive_rho_p=matmul(constitutive_Pparallel(1:material_Nslip(matID),1:material_Nslip(matID),matID),state)
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!$OMP END CRITICAL (evilmatmul)
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constitutive_rho_p=matmul(constitutive_Pparallel(1:material_Nslip(matID),1:material_Nslip(matID),matID),state)
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!$OMP END CRITICAL (evilmatmul)
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do i=1,material_Nslip(matID)
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constitutive_passing_stress(i) = material_tau0(matID)+material_c1(matID)*material_Gmod(matID)*material_bg(matID)*&
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constitutive_passing_stress(i) = material_c1(matID)*material_Gmod(matID)*material_bg(matID)*&
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sqrt(constitutive_rho_p(i))
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constitutive_jump_width(i) = material_c2(matID)/sqrt(constitutive_rho_f(i))
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@ -957,22 +959,70 @@ enddo
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!* Quantities derived from state - twin
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Ftwin = sum(state((startIdxTwin+1):(startIdxTwin+material_Ntwin(matID))))
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do i=1,material_Nslip(matID)
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!* Inverse of the average distance between 2 twins of the same familly
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constitutive_inv_intertwin_len_s(i)=0.0_pReal
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do j=1,material_Ntwin(matID)
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constitutive_inv_intertwin_len_s(i)=constitutive_inv_intertwin_len_s(i)+&
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(lattice_SlipTwinIntType(i,j,material_CrystalStructure(matID))*state(startIdxTwin+j))/&
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(2.0_pReal*material_StackSize(matID)*(1.0_pReal-Ftwin))
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enddo
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enddo
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do i=1,material_Ntwin(matID)
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!* Inverse of the average distance between 2 twins of the same familly
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constitutive_inv_intertwin_len(i)=0.0_pReal
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constitutive_inv_intertwin_len_t(i)=0.0_pReal
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do j=1,material_Ntwin(matID)
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constitutive_inv_intertwin_len(i)=constitutive_inv_intertwin_len(i)+&
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(lattice_TwinIntType(i,j,material_LatticeStructure(matID))*state(startIdxTwin+j))/&
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(2.0_pReal*material_StackSize(matID)*(1.0_pReal-Ftwin))
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constitutive_inv_intertwin_len_t(i)=constitutive_inv_intertwin_len_t(i)+&
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(lattice_TwinIntType(i,j,material_CrystalStructure(matID))*state(startIdxTwin+j))/&
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(2.0_pReal*material_StackSize(matID)*(1.0_pReal-Ftwin))
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enddo
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constitutive_twin_mfp(i)=(1.0_pReal)/((1.0_pReal/material_GrainSize(matID))+constitutive_inv_intertwin_len(i))
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constitutive_twin_volume(i)=(pi/6.0_pReal)*material_StackSize(matID)*constitutive_twin_mfp(i)**2.0_pReal
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constitutive_twin_mfp(i)=1.0_pReal/((1.0_pReal/material_GrainSize(matID))+constitutive_inv_intertwin_len_t(i))
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constitutive_twin_volume(i)=((4.0_pReal*pi)/3.0_pReal)*material_StackSize(matID)*constitutive_twin_mfp(i)**2.0_pReal
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enddo
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!* Stacking fault energy as function of temperature (see Allain PhD Thesis p40-42) *
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x_Fe=0.774_pReal ! atomic %
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x_Mn=0.218_pReal ! atomic %
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x_C =0.027_pReal ! atomic %
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!* Chemical contribution *
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deltaG1=x_Fe*(4.309_pReal*Tp-2243.38_pReal)
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deltaG2=x_Mn*(1.123_preal*Tp-1000.0_pReal)
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deltaG3=x_Fe*x_Mn*(2873.0_pReal+717.0_pReal*(x_Fe-x_Mn))
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deltaG4=1246.0_pReal*(1.0_pReal-exp(-24.29_pReal*x_C))-17175.0_pReal*x_Mn*x_C
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!* Magnetical contribution *
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beta_mart=0.62_pReal*x_Mn-4.0_pReal*x_C ! Magnetic spin in µB
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Tp_mart=580.0_pReal*x_Mn ! Néel Temperature
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beta_aust=0.7_pReal*x_Fe+0.62_pReal*x_Mn-0.64_pReal*x_Fe*x_Mn-4.0_pReal*x_C ! Magnetic spin in µB
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Tp_aust=669.27_pReal*(1.0_pReal-exp(-5.46_pReal*x_Mn))-2408.0_pReal*x_C*x_Fe-109.0_pReal ! Néel Temperature
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if (Tp<=Tp_mart) then
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f_mart=1.0_pReal-(1.0_pReal/2.34_pReal)*((79.0_pReal*Tp_mart)/(140.0_pReal*0.28_pReal*Tp)+&
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(474.0_pReal/497.0_pReal)*((1.0_pReal/0.28_pReal)-1.0_pReal)*(((Tp/Tp_mart)**3.0_pReal)/6.0_pReal+&
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((Tp/Tp_mart)**9.0_pReal)/135.0_pReal+((Tp/Tp_mart)**15.0_pReal)/600.0_pReal))
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else
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f_mart=-(1.0_pReal/2.34_pReal)*(((Tp/Tp_mart)**-5.0_pReal)/10.0_pReal+((Tp/Tp_mart)**-15.0_pReal)/315.0_pReal+&
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((Tp/Tp_mart)**-25.0_pReal)/1500.0_pReal)
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endif
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if (Tp<=Tp_aust) then
|
||||
f_aust=1.0_pReal-(1.0_pReal/2.34_pReal)*((79.0_pReal*Tp_aust)/(140.0_pReal*0.28_pReal*Tp)+&
|
||||
(474.0_pReal/497.0_pReal)*((1.0_pReal/0.28_pReal)-1.0_pReal)*(((Tp/Tp_aust)**3.0_pReal)/6.0_pReal+&
|
||||
((Tp/Tp_aust)**9.0_pReal)/135.0_pReal+((Tp/Tp_aust)**15.0_pReal)/600.0_pReal))
|
||||
else
|
||||
f_aust=-(1.0_pReal/2.34_pReal)*(((Tp/Tp_aust)**-5.0_pReal)/10.0_pReal+((Tp/Tp_aust)**-15.0_pReal)/315.0_pReal+&
|
||||
((Tp/Tp_aust)**-25.0_pReal)/1500.0_pReal)
|
||||
endif
|
||||
deltaG5=Rgaz*Tp*(log(beta_mart+1.0_pReal)*f_mart-log(beta_aust+1.0_pReal)*f_aust)
|
||||
|
||||
!* Final expression *
|
||||
material_sfe=(4.0_pReal/(sqrt(3.0_pReal)*avogadro*material_bg(matID)**2.0_pReal))*&
|
||||
(deltaG1+deltaG2+deltaG3+deltaG4+deltaG5)+2.0_pReal*0.0035_pReal
|
||||
|
||||
return
|
||||
end subroutine
|
||||
|
||||
|
||||
|
||||
subroutine constitutive_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,state,Tp,ipc,ip,el)
|
||||
!*********************************************************************
|
||||
!* This subroutine contains the constitutive equation for *
|
||||
|
|
@ -990,7 +1040,7 @@ subroutine constitutive_LpAndItsTangent(Lp,dLp_dTstar,Tstar_v,state,Tp,ipc,ip,el
|
|||
!*********************************************************************
|
||||
use prec, only: pReal,pInt
|
||||
use lattice, only: lattice_Sslip,lattice_Sslip_v,lattice_Stwin,lattice_Stwin_v,lattice_TwinShear
|
||||
use math, only: math_Plain3333to99
|
||||
use math, only: pi,math_Plain3333to99
|
||||
implicit none
|
||||
|
||||
!* Definition of variables
|
||||
|
|
@ -1002,92 +1052,155 @@ real(pReal), dimension(3,3) :: Lp,Sslip,Stwin
|
|||
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
|
||||
real(pReal), dimension(material_Ntwin(constitutive_matID(ipc,ip,el))) :: sfe_eff,fdot_twin,dfdot_dtautwin,tau_twin,tauc_twin
|
||||
real(pReal), dimension(material_Ntwin(constitutive_matID(ipc,ip,el)),material_Nslip(constitutive_matID(ipc,ip,el))) :: dfdot_dtauslip
|
||||
|
||||
!* Get the material-ID from the triplet(ipc,ip,el)
|
||||
matID = constitutive_matID(ipc,ip,el)
|
||||
startIdxTwin = material_Nslip(matID)
|
||||
Ftwin = sum(state((startIdxTwin+1):(startIdxTwin+material_Ntwin(matID))))
|
||||
|
||||
!* Calculation of Lp - slip
|
||||
Ftwin = sum(state((startIdxTwin+1):(startIdxTwin+material_Ntwin(matID))))
|
||||
Lp = 0.0_pReal
|
||||
gdot_slip = 0.0_pReal
|
||||
dgdot_dtauslip = 0.0_pReal
|
||||
Lp = 0.0_pReal
|
||||
do i=1,material_Nslip(matID)
|
||||
constitutive_tau_slip(i)=dot_product(Tstar_v,lattice_Sslip_v(:,i,material_LatticeStructure(matID)))
|
||||
if (abs(constitutive_tau_slip(i))>constitutive_passing_stress(i)) then
|
||||
constitutive_gdot_slip(i) = constitutive_g0_slip(i)*&
|
||||
sinh((constitutive_tau_slip(i)*constitutive_activation_volume(i))/(kB*Tp))
|
||||
constitutive_dgdot_dtauslip(i) = (constitutive_g0_slip(i)*constitutive_activation_volume(i))/(kB*Tp)*&
|
||||
cosh((constitutive_tau_slip(i)*constitutive_activation_volume(i))/(kB*Tp))
|
||||
else
|
||||
constitutive_gdot_slip(i) = 0.0_pReal
|
||||
constitutive_dgdot_dtauslip(i) = 0.0_pReal
|
||||
endif
|
||||
Lp=Lp+(1.0_pReal-Ftwin)*constitutive_gdot_slip(i)*lattice_Sslip(:,:,i,material_LatticeStructure(matID))
|
||||
tau_slip(i)=dot_product(Tstar_v,lattice_Sslip_v(:,i,material_CrystalStructure(matID)))
|
||||
if (abs(tau_slip(i))>constitutive_passing_stress(i)) then
|
||||
gdot_slip(i) = constitutive_g0_slip(i)*sinh((tau_slip(i)*constitutive_activation_volume(i))/(kB*Tp))
|
||||
dgdot_dtauslip(i) = (constitutive_g0_slip(i)*constitutive_activation_volume(i))/(kB*Tp)*&
|
||||
cosh((tau_slip(i)*constitutive_activation_volume(i))/(kB*Tp))
|
||||
endif
|
||||
Lp=Lp+(1.0_pReal-Ftwin)*gdot_slip(i)*lattice_Sslip(:,:,i,material_CrystalStructure(matID))
|
||||
enddo
|
||||
|
||||
!write(6,*) '##############'
|
||||
!write(6,*) '##############'
|
||||
|
||||
!write(6,*) 'Schmid_1', lattice_Sslip_v(:,1,material_CrystalStructure(matID))
|
||||
!write(6,*) 'Schmid_2', lattice_Sslip_v(:,2,material_CrystalStructure(matID))
|
||||
!write(6,*) 'Schmid_3', lattice_Sslip_v(:,3,material_CrystalStructure(matID))
|
||||
!write(6,*) 'Schmid_4', lattice_Sslip_v(:,4,material_CrystalStructure(matID))
|
||||
!write(6,*) 'Schmid_5', lattice_Sslip_v(:,5,material_CrystalStructure(matID))
|
||||
!write(6,*) 'Schmid_6', lattice_Sslip_v(:,6,material_CrystalStructure(matID))
|
||||
!write(6,*) 'Schmid_7', lattice_Sslip_v(:,7,material_CrystalStructure(matID))
|
||||
!write(6,*) 'Schmid_8', lattice_Sslip_v(:,8,material_CrystalStructure(matID))
|
||||
!write(6,*) 'Schmid_9', lattice_Sslip_v(:,9,material_CrystalStructure(matID))
|
||||
!write(6,*) 'Schmid_10', lattice_Sslip_v(:,10,material_CrystalStructure(matID))
|
||||
!write(6,*) 'Schmid_11', lattice_Sslip_v(:,11,material_CrystalStructure(matID))
|
||||
!write(6,*) 'Schmid_12', lattice_Sslip_v(:,12,material_CrystalStructure(matID))
|
||||
!write(6,*) 'Tstar_v',Tstar_v
|
||||
!write(6,*) 'state',state
|
||||
!write(6,*) 'Tp', Tp
|
||||
!write(6,*) 'ssd_f', constitutive_rho_f
|
||||
!write(6,*) 'ssd_p', constitutive_rho_p
|
||||
!write(6,*) 'jump_width', constitutive_jump_width
|
||||
!write(6,*) 'activation_volume', constitutive_activation_volume
|
||||
!write(6,*) 'passing_stress', constitutive_passing_stress
|
||||
!write(6,*) 'ssd_m', constitutive_rho_m
|
||||
!write(6,*) 'g0_slip', constitutive_g0_slip
|
||||
!write(6,*) 'tau_slip',tau_slip
|
||||
!write(6,*) 'gdot_slip', gdot_slip
|
||||
!write(6,*) 'dgdot_dtauslip', dgdot_dtauslip
|
||||
|
||||
|
||||
!* Calculation of Lp - twin
|
||||
!do i=1,material_Ntwin(matID)
|
||||
! constitutive_tau_twin(i)=dot_product(Tstar_v,lattice_Stwin_v(:,i,material_LatticeStructure(matID)))
|
||||
! if (constitutive_tau_twin(i)>0.0_pReal) then
|
||||
! constitutive_fdot_twin(i) = (material_TwinSaturation(matID)-Ftwin)*constitutive_twin_volume(i)*&
|
||||
! material_c8(matID)*sum(state(1:material_Nslip(matID)))**(1.5_pReal)*&
|
||||
! (material_ActivationLength(matID)/material_bg(matID))*sum(abs(constitutive_gdot_slip))*&
|
||||
! exp(-((material_twin_res(matID)/constitutive_tau_twin(i))**material_c9(matID)))
|
||||
! constitutive_dfdot_dtautwin(i) = (material_TwinSaturation(matID)-Ftwin)*constitutive_twin_volume(i)*&
|
||||
! material_c8(matID)*sum(state(1:material_Nslip(matID)))**(1.5_pReal)*&
|
||||
! (material_ActivationLength(matID)/material_bg(matID))*sum(abs(constitutive_gdot_slip))*&
|
||||
! (material_c9(matID)/constitutive_tau_twin(i))*&
|
||||
! (material_twin_res(matID)/constitutive_tau_twin(i))**material_c9(matID)*&
|
||||
! exp(-((material_twin_res(matID)/constitutive_tau_twin(i))**material_c9(matID)))
|
||||
! do j=1,material_Nslip(matID)
|
||||
! if (constitutive_gdot_slip(i)>0.0_pReal) then
|
||||
! constitutive_dfdot_dtauslip(i,j) = (material_TwinSaturation(matID)-Ftwin)*constitutive_twin_volume(i)*&
|
||||
! material_c8(matID)*sum(state(1:material_Nslip(matID)))**(1.5_pReal)*&
|
||||
! (material_ActivationLength(matID)/material_bg(matID))*constitutive_dgdot_dtauslip(j)*&
|
||||
! exp(-((material_twin_res(matID)/constitutive_tau_twin(i))**material_c9(matID)))
|
||||
! else
|
||||
! constitutive_dfdot_dtauslip(i,j) = (material_TwinSaturation(matID)-Ftwin)*constitutive_twin_volume(i)*&
|
||||
! material_c8(matID)*sum(state(1:material_Nslip(matID)))**(1.5_pReal)*&
|
||||
! (material_ActivationLength(matID)/material_bg(matID))*(-constitutive_dgdot_dtauslip(j))*&
|
||||
! exp(-((material_twin_res(matID)/constitutive_tau_twin(i))**material_c9(matID)))
|
||||
! endif
|
||||
! enddo
|
||||
! else
|
||||
! constitutive_fdot_twin(i)=0.0_pReal
|
||||
! constitutive_dfdot_dtautwin(i)=0.0_pReal
|
||||
! do j=1,material_Nslip(matID)
|
||||
! constitutive_dfdot_dtauslip(i,j)=0.0_pReal
|
||||
! enddo
|
||||
! endif
|
||||
! Lp=Lp+state(material_Nslip(matID)+i)*lattice_TwinShear(material_LatticeStructure(matID))*constitutive_fdot_twin(i)*&
|
||||
! lattice_Stwin(:,:,i,material_LatticeStructure(matID))
|
||||
sfe_eff = 0.0_pReal
|
||||
fdot_twin = 0.0_pReal
|
||||
dfdot_dtautwin = 0.0_pReal
|
||||
dfdot_dtauslip = 0.0_pReal
|
||||
do i=1,material_Ntwin(matID)
|
||||
tau_twin(i)=dot_product(Tstar_v,lattice_Stwin_v(:,i,material_CrystalStructure(matID)))
|
||||
if ((tau_twin(i) > 0.0_pReal).AND.(material_TwinSaturation(matID)-Ftwin>=0)) then
|
||||
sfe_eff(i)=material_sfe-(sqrt(3.0_pReal)/3.0_pReal)*material_q1(matID)*material_q2(matID)*material_bg(matID)*tau_twin(i)
|
||||
if (sfe_eff(i)<0.0_pReal) sfe_eff(i) = 0.0_pReal
|
||||
fdot_twin(i) = (material_TwinSaturation(matID)-Ftwin)*&
|
||||
constitutive_twin_volume(i)*&
|
||||
((2.0_pReal*sqrt(6.0_pReal)*material_SiteScaling(matID)*sum(abs(gdot_slip))*&
|
||||
sum(state(1:material_Nslip(matID)))**1.5_pReal)/3.0_pReal)*&
|
||||
exp((-25.0_pReal*pi**3.0_pReal*material_Gmod(matID)**2.0_pReal*sfe_eff(i)**3.0_pReal)/&
|
||||
(3.0_pReal*Kb*Tp*(material_q2(matID)*tau_twin(i))**4.0_pReal))
|
||||
|
||||
dfdot_dtautwin(i) = (material_TwinSaturation(matID)-Ftwin)*&
|
||||
constitutive_twin_volume(i)*&
|
||||
((2.0_pReal*sqrt(6.0_pReal)*material_SiteScaling(matID)*sum(abs(gdot_slip))*&
|
||||
sum(state(1:material_Nslip(matID)))**1.5_pReal)/3.0_pReal)*&
|
||||
((-25.0_pReal*pi**3.0_pReal*material_Gmod(matID)**2.0_pReal*sfe_eff(i)**2.0_pReal)/&
|
||||
(3.0_pReal*Kb*Tp*material_q2(matID)**4.0_pReal*tau_twin(i)**5.0_pReal))*&
|
||||
(-sqrt(3.0_pReal)*material_q1(matID)*material_q2(matID)*material_bg(matID)*tau_twin(i)-&
|
||||
4.0_pReal*sfe_eff(i))*&
|
||||
exp((-25.0_pReal*pi**3.0_pReal*material_Gmod(matID)**2.0_pReal*sfe_eff(i)**3.0_pReal)/&
|
||||
(3.0_pReal*Kb*Tp*(material_q2(matID)*tau_twin(i))**4.0_pReal))
|
||||
|
||||
do j=1,material_Nslip(matID)
|
||||
if (gdot_slip(j)>0.0_pReal) then
|
||||
dfdot_dtauslip(i,j) = (material_TwinSaturation(matID)-Ftwin)*&
|
||||
constitutive_twin_volume(i)*&
|
||||
((2.0_pReal*sqrt(6.0_pReal)*material_SiteScaling(matID)*dgdot_dtauslip(j)*&
|
||||
sum(state(1:material_Nslip(matID)))**1.5_pReal)/3.0_pReal)*&
|
||||
exp((-25.0_pReal*pi**3.0_pReal*material_Gmod(matID)**2.0_pReal*sfe_eff(i)**3.0_pReal)/&
|
||||
(3.0_pReal*Kb*Tp*(material_q2(matID)*tau_twin(i))**4.0_pReal))
|
||||
else
|
||||
dfdot_dtauslip(i,j) = (material_TwinSaturation(matID)-Ftwin)*&
|
||||
constitutive_twin_volume(i)*&
|
||||
((2.0_pReal*sqrt(6.0_pReal)*material_SiteScaling(matID)*(-dgdot_dtauslip(j))*&
|
||||
sum(state(1:material_Nslip(matID)))**1.5_pReal)/3.0_pReal)*&
|
||||
exp((-25.0_pReal*pi**3.0_pReal*material_Gmod(matID)**2.0_pReal*sfe_eff(i)**3.0_pReal)/&
|
||||
(3.0_pReal*Kb*Tp*(material_q2(matID)*tau_twin(i))**4.0_pReal))
|
||||
endif
|
||||
enddo
|
||||
endif
|
||||
Lp=Lp+state(material_Nslip(matID)+i)*lattice_TwinShear(material_CrystalStructure(matID))*constitutive_fdot_twin(i)*&
|
||||
lattice_Stwin(:,:,i,material_CrystalStructure(matID))
|
||||
enddo
|
||||
|
||||
|
||||
!write(6,*) 'twin_mfp', constitutive_twin_mfp
|
||||
!write(6,*) 'twin_volume', constitutive_twin_volume
|
||||
!write(6,*) 'tau_twin',tau_twin
|
||||
!write(6,*) 'part1:',material_TwinSaturation(matID)-Ftwin
|
||||
!write(6,*) 'part2:',constitutive_twin_volume
|
||||
!write(6,*) 'part3:',((2.0_pReal*sqrt(6.0_pReal)*sum(abs(gdot_slip))*&
|
||||
! sum(state(1:material_Nslip(matID)))**1.5_pReal)/3.0_pReal)
|
||||
!do i=1,12
|
||||
!write(6,*) 'part4:',exp((-25.0_pReal*pi**3.0_pReal*material_Gmod(matID)**2.0_pReal*sfe_eff(i)**3.0_pReal)/&
|
||||
! (3.0_pReal*Kb*Tp*(material_q2(matID)*tau_twin(i))**4.0_pReal))
|
||||
!write(6,*) 'part5:',(-25.0_pReal*pi**3.0_pReal*material_Gmod(matID)**2.0_pReal*sfe_eff(i)**3.0_pReal)/&
|
||||
! (3.0_pReal*Kb*Tp*(material_q2(matID)*tau_twin(i))**4.0_pReal)
|
||||
!enddo
|
||||
!write(6,*) 'sfe', material_sfe
|
||||
!write(6,*) 'sfe_eff',sfe_eff
|
||||
!write(6,*) 'fdot_twin', fdot_twin
|
||||
!write(6,*) 'dfdot_dtautwin', dfdot_dtautwin
|
||||
!write(6,*) 'dfdot_dtauslip', dfdot_dtauslip
|
||||
|
||||
|
||||
|
||||
!* Calculation of the tangent of Lp
|
||||
dLp_dTstar3333=0.0_pReal
|
||||
do i=1,material_Nslip(matID)
|
||||
Sslip = lattice_Sslip(:,:,i,material_LatticeStructure(matID))
|
||||
Sslip = lattice_Sslip(:,:,i,material_CrystalStructure(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)+ &
|
||||
(1.0_pReal-Ftwin)*constitutive_dgdot_dtauslip(i)*Sslip(k,l)*Sslip(m,n) !force m,n symmetry
|
||||
(1.0_pReal-Ftwin)*dgdot_dtauslip(i)*Sslip(k,l)*Sslip(m,n) !force m,n symmetry
|
||||
endforall
|
||||
enddo
|
||||
!do i=1,material_Ntwin(matID)
|
||||
! Stwin = lattice_Stwin(:,:,i,material_LatticeStructure(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)+ &
|
||||
! state(material_Nslip(matID)+i)*lattice_TwinShear(material_LatticeStructure(matID))*&
|
||||
! constitutive_dfdot_dtautwin(i)*Stwin(k,l)*Stwin(m,n) !force m,n symmetry
|
||||
! endforall
|
||||
! do j=1,material_Nslip(matID)
|
||||
! Sslip = lattice_Sslip(:,:,j,material_LatticeStructure(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)+ &
|
||||
! state(material_Nslip(matID)+i)*lattice_TwinShear(material_LatticeStructure(matID))*&
|
||||
! constitutive_dfdot_dtauslip(i,j)*Stwin(k,l)*Sslip(m,n) !force m,n symmetry
|
||||
! endforall
|
||||
! enddo
|
||||
!enddo
|
||||
do i=1,material_Ntwin(matID)
|
||||
Stwin = lattice_Stwin(:,:,i,material_CrystalStructure(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)+ &
|
||||
state(material_Nslip(matID)+i)*lattice_TwinShear(material_CrystalStructure(matID))*&
|
||||
dfdot_dtautwin(i)*Stwin(k,l)*Stwin(m,n) !force m,n symmetry
|
||||
endforall
|
||||
do j=1,material_Nslip(matID)
|
||||
Sslip = lattice_Sslip(:,:,j,material_CrystalStructure(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)+ &
|
||||
state(material_Nslip(matID)+i)*lattice_TwinShear(material_CrystalStructure(matID))*&
|
||||
dfdot_dtauslip(i,j)*Stwin(k,l)*Sslip(m,n) !force m,n symmetry
|
||||
endforall
|
||||
enddo
|
||||
enddo
|
||||
dLp_dTstar = math_Plain3333to99(dLp_dTstar3333)
|
||||
|
||||
return
|
||||
|
|
@ -1109,6 +1222,7 @@ function constitutive_dotState(Tstar_v,state,Tp,ipc,ip,el)
|
|||
!* - constitutive_DotState : evolution of state variable *
|
||||
!*********************************************************************
|
||||
use prec, only: pReal,pInt
|
||||
use math, only: pi
|
||||
use lattice, only: lattice_Sslip_v,lattice_Stwin_v
|
||||
implicit none
|
||||
|
||||
|
|
@ -1118,51 +1232,48 @@ integer(pInt) matID,i,j,startIdxTwin
|
|||
real(pReal) Tp,Ftwin
|
||||
real(pReal), dimension(6) :: Tstar_v
|
||||
real(pReal), dimension(constitutive_Nstatevars(ipc,ip,el)) :: constitutive_dotState,state
|
||||
real(pReal), dimension(material_Nslip(constitutive_matID(ipc,ip,el))) :: gdot_slip,tau_slip
|
||||
real(pReal), dimension(material_Ntwin(constitutive_matID(ipc,ip,el))) :: sfe_eff,fdot_twin,tau_twin,tauc_twin
|
||||
real(pReal), dimension(material_Nslip(constitutive_matID(ipc,ip,el))) :: locks,grainboundaries,recovery
|
||||
real(pReal), dimension(material_Nslip(constitutive_matID(ipc,ip,el))) :: twinboundaries
|
||||
|
||||
!* Get the material-ID from the triplet(ipc,ip,el)
|
||||
matID = constitutive_matID(ipc,ip,el)
|
||||
startIdxTwin = material_Nslip(matID)
|
||||
Ftwin = sum(state((startIdxTwin+1):(startIdxTwin+material_Ntwin(matID))))
|
||||
constitutive_dotState = 0.0_pReal
|
||||
|
||||
!* Dislocation density evolution
|
||||
gdot_slip = 0.0_pReal
|
||||
do i=1,material_Nslip(matID)
|
||||
constitutive_tau_slip(i)=dot_product(Tstar_v,lattice_Sslip_v(:,i,material_LatticeStructure(matID)))
|
||||
if (abs(constitutive_tau_slip(i))>constitutive_passing_stress(i)) then
|
||||
constitutive_gdot_slip(i) = constitutive_g0_slip(i)*&
|
||||
sinh((constitutive_tau_slip(i)*constitutive_activation_volume(i))/(kB*Tp))
|
||||
else
|
||||
constitutive_gdot_slip(i) = 0.0_pReal
|
||||
endif
|
||||
constitutive_locks(i) = (sqrt(constitutive_rho_f(i))*abs(constitutive_gdot_slip(i)))/&
|
||||
(material_c4(matID)*material_bg(matID))
|
||||
|
||||
constitutive_grainboundaries(i) = abs(constitutive_gdot_slip(i))/(material_c5(matID)*material_bg(matID)*material_GrainSize(matID))
|
||||
! if (material_Ntwin(matID)>0) then
|
||||
! constitutive_twinboundaries(i) = (abs(constitutive_gdot_slip(i))*constitutive_inv_intertwin_len(i))/&
|
||||
! (material_c6(matID)*material_bg(matID))
|
||||
! endif
|
||||
constitutive_recovery(i) = material_c7(matID)*state(i)*abs(constitutive_gdot_slip(i))
|
||||
constitutive_dotState(i) = constitutive_locks(i)+constitutive_grainboundaries(i)-constitutive_recovery(i)
|
||||
! constitutive_dotState(i) = constitutive_locks(i)+constitutive_grainboundaries(i)+constitutive_twinboundaries(i)&
|
||||
! -constitutive_recovery(i)
|
||||
tau_slip(i)=dot_product(Tstar_v,lattice_Sslip_v(:,i,material_CrystalStructure(matID)))
|
||||
if (abs(tau_slip(i))>constitutive_passing_stress(i)) &
|
||||
gdot_slip(i) = constitutive_g0_slip(i)*sinh((tau_slip(i)*constitutive_activation_volume(i))/(kB*Tp))
|
||||
|
||||
locks(i) = (sqrt(constitutive_rho_f(i))*abs(gdot_slip(i)))/(material_c4(matID)*material_bg(matID))
|
||||
grainboundaries(i) = abs(gdot_slip(i))/(material_c5(matID)*material_bg(matID)*material_GrainSize(matID))
|
||||
twinboundaries(i) = (abs(gdot_slip(i))*constitutive_inv_intertwin_len_s(i))/(material_c6(matID)*material_bg(matID))
|
||||
recovery(i) = material_c7(matID)*state(i)*abs(gdot_slip(i))
|
||||
|
||||
constitutive_dotState(i) = locks(i)+grainboundaries(i)+twinboundaries(i)-recovery(i)
|
||||
enddo
|
||||
|
||||
!* Twin volume fraction evolution
|
||||
!Ftwin = sum(state((startIdxTwin+1):(startIdxTwin+material_Ntwin(matID))))
|
||||
!do i=1,material_Ntwin(matID)
|
||||
! constitutive_tau_twin(i)=dot_product(Tstar_v,lattice_Stwin_v(:,i,material_LatticeStructure(matID)))
|
||||
! if (constitutive_tau_twin(i)>0.0_pReal) then
|
||||
! constitutive_fdot_twin(i) = (material_TwinSaturation(matID)-Ftwin)*constitutive_twin_volume(i)*&
|
||||
! material_c8(matID)*sum(state(1:material_Nslip(matID)))**(1.5_pReal)*&
|
||||
! (material_ActivationLength(matID)/material_bg(matID))*sum(abs(constitutive_gdot_slip))*&
|
||||
! exp(-((material_twin_res(matID)/constitutive_tau_twin(i))**material_c9(matID)))
|
||||
! else
|
||||
! constitutive_fdot_twin(i) = 0.0_pReal
|
||||
! endif
|
||||
! constitutive_dotState(startIdxTwin+i)=constitutive_fdot_twin(i)
|
||||
!enddo
|
||||
|
||||
!constitutive_dotState=0.0_pReal
|
||||
fdot_twin = 0.0_pReal
|
||||
do i=1,material_Ntwin(matID)
|
||||
tau_twin(i)=dot_product(Tstar_v,lattice_Stwin_v(:,i,material_CrystalStructure(matID)))
|
||||
if (tau_twin(i)>0.0_pReal) then
|
||||
sfe_eff(i)=material_sfe-(sqrt(3.0_pReal)/3.0_pReal)*material_q1(matID)*material_q2(matID)*material_bg(matID)*tau_twin(i)
|
||||
if (sfe_eff(i)<0.0_pReal) sfe_eff(i) = 0.0_pReal
|
||||
fdot_twin(i) = (material_TwinSaturation(matID)-Ftwin)*&
|
||||
constitutive_twin_volume(i)*&
|
||||
((2.0_pReal*sqrt(6.0_pReal)*material_SiteScaling(matID)*sum(abs(gdot_slip))*&
|
||||
sum(state(1:material_Nslip(matID)))**1.5_pReal)/3.0_pReal)*&
|
||||
exp((-25.0_pReal*pi**3.0_pReal*material_Gmod(matID)**2.0_pReal*sfe_eff(i)**3.0_pReal)/&
|
||||
(3.0_pReal*Kb*Tp*(material_q2(matID)*tau_twin(i))**4.0_pReal))
|
||||
endif
|
||||
constitutive_dotState(startIdxTwin+i) = fdot_twin(i)
|
||||
enddo
|
||||
|
||||
return
|
||||
end function
|
||||
|
|
@ -1200,12 +1311,14 @@ startIdxTwin = material_Nslip(matID)
|
|||
if(constitutive_Nresults(ipc,ip,el)==0) return
|
||||
|
||||
constitutive_post_results=0.0_pReal
|
||||
do i=1,material_Nslip(matID)
|
||||
constitutive_post_results(i) = state(i)
|
||||
enddo
|
||||
do i=1,material_Ntwin(matID)
|
||||
constitutive_post_results(startIdxTwin+i) = state(startIdxTwin+i)
|
||||
enddo
|
||||
!do i=1,material_Nslip(matID)
|
||||
! constitutive_post_results(i) = state(i)
|
||||
!enddo
|
||||
!do i=1,material_Ntwin(matID)
|
||||
! constitutive_post_results(startIdxTwin+i) = state(startIdxTwin+i)
|
||||
!enddo
|
||||
constitutive_post_results(1) = sum(state(1:material_Nslip(matID)))
|
||||
constitutive_post_results(2) = sum(state((startIdxTwin+1):(startIdxTwin+material_Ntwin(matID))))
|
||||
|
||||
return
|
||||
end function
|
||||
|
|
|
|||
|
|
@ -176,6 +176,8 @@ CONTAINS
|
|||
enddo
|
||||
enddo
|
||||
endif
|
||||
!
|
||||
msg = 'ok' ! a new consistent tangent was computed even if msg was not ok for all components
|
||||
!
|
||||
return
|
||||
!
|
||||
|
|
@ -418,7 +420,13 @@ Inner: do ! inner iteration: Lp
|
|||
dt*constitutive_dotState(Tstar_v,state,Temperature,&
|
||||
grain,ip,cp_en) ! residuum from evolution of microstructure
|
||||
!!$OMP END CRITICAL (stateupdate)
|
||||
state = state - ROuter ! update of microstructure
|
||||
state = state - ROuter ! update of microstructure
|
||||
if (iOuter==nOuter) then
|
||||
!$OMP CRITICAL (write2out)
|
||||
write (6,*) 'WARNING: Outer loop has not really converged'
|
||||
!$OMP END CRITICAL (write2out)
|
||||
exit Outer
|
||||
endif
|
||||
if (maxval(abs(Router/state),state /= 0.0_pReal) < reltol_Outer) exit Outer
|
||||
enddo Outer
|
||||
!
|
||||
|
|
|
|||
|
|
@ -21,52 +21,57 @@ w0 1.0
|
|||
hardening_coefficients 1.0 1.4
|
||||
|
||||
## Parameters for dislocation-based modeling
|
||||
# Initial dislocation density [m]²
|
||||
rho0 2.8e13
|
||||
# Burgers vector [m]
|
||||
burgers 2.56e-10
|
||||
# Activation energy for dislocation glide [J/K]
|
||||
Qedge 3.0e-19
|
||||
# Reference for passing stress [Pa]
|
||||
tau0 0.0
|
||||
# Initial dislocation density [m]²
|
||||
rho0 2.8e13
|
||||
# Average grain size [m]
|
||||
grain_size 2.0e-5
|
||||
# Passing stress adjustment
|
||||
c1 0.1
|
||||
# Jump width adjustment
|
||||
c2 2.0
|
||||
# Activation volume adjustment
|
||||
c3 1.2
|
||||
# Dislocation storage adjustment
|
||||
# Average slip distance adjustment for lock formation
|
||||
# = c4(Anxin)*c2(Anxin) !!!!!!
|
||||
c4 14.25
|
||||
# Grain boundaries storage adjustment
|
||||
# Average slip distance adjustment when grain boundaries
|
||||
c5 1.0
|
||||
# Athermal annihilation adjustment
|
||||
# Average slip distance adjustment when twin boundaries
|
||||
c6 0.1
|
||||
# Athermal recovery adjustment
|
||||
c7 23.5
|
||||
# Dislocation interaction coefficients
|
||||
interaction_coefficients 1.0 2.2 3.0 1.6 3.8 4.5
|
||||
|
||||
# Twin parameters
|
||||
# Grain size [m]
|
||||
grain_size 2.0e-5
|
||||
# Twin thickness (stacks) [m]
|
||||
## Parameters for mechanical twinning
|
||||
# Average twin thickness (stacks) [m]
|
||||
stack_size 5.0e-8
|
||||
# Activation length for twin nucleation [m]
|
||||
d_star 5.0e-10
|
||||
# Twin saturation value
|
||||
f_sat 0.3
|
||||
# Twin boundaries storage adjustment
|
||||
c6 0.425
|
||||
# Scaling of really activated nucleation sites
|
||||
c8 2.0e-3
|
||||
# Selection of active twin systems
|
||||
c9 10.0
|
||||
# Twin resistance [Pa]
|
||||
twin_resistance 1000.0e6
|
||||
stacking_fault_energy 2.0e-2
|
||||
# Total twin volume fraction saturation
|
||||
f_sat 0.2
|
||||
# Scaling potential nucleation sites
|
||||
site_scaling 1.0e-7
|
||||
# Scaling the P-K force on the twinning dislocation
|
||||
q1 0.75
|
||||
# Scaling the resolved shear stress
|
||||
q2 1.0
|
||||
|
||||
|
||||
|
||||
<textures>
|
||||
[cube SX]
|
||||
symmetry no /monoclinic /orthorhombic
|
||||
Ngrains 1 /2 /4
|
||||
(gauss) phi1 0.0 phi 0.0 phi2 0.0 scatter 0.0 fraction 1.0
|
||||
Ngrains 10 /2 /4
|
||||
#(gauss) phi1 0.0 phi 29.21 phi2 -26.57 scatter 0.0 fraction 1.0
|
||||
#(gauss) phi1 0.0 phi 54.74 phi2 -45.0 scatter 0.0 fraction 0.1
|
||||
#(gauss) phi1 0.0 phi 45.0 phi2 0.0 scatter 0.0 fraction 0.1
|
||||
#(gauss) phi1 0.0 phi 0.0 phi2 0.0 scatter 0.0 fraction 0.1
|
||||
#(gauss) phi1 0.0 phi 35.26 phi2 -45.0 scatter 0.0 fraction 0.1
|
||||
#(gauss) phi1 0.0 phi 48.19 phi2 -26.57 scatter 0.0 fraction 0.1
|
||||
#(gauss) phi1 0.0 phi 26.57 phi2 0.0 scatter 0.0 fraction 0.1
|
||||
#(gauss) phi1 0.0 phi 42.03 phi2 -33.69 scatter 0.0 fraction 0.1
|
||||
#(gauss) phi1 0.0 phi 40.36 phi2 -11.31 scatter 0.0 fraction 0.1
|
||||
#(gauss) phi1 0.0 phi 15.62 phi2 -26.57 scatter 0.0 fraction 0.1
|
||||
|
|
|
|||
Loading…
Reference in New Issue