Merge branch 'dynamic-C' into 'development'
preparing for temperature dependent C by calling it dynamically See merge request damask/DAMASK!457
This commit is contained in:
Martin Diehl
commit
202af32429
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@ -168,19 +168,19 @@ submodule(phase) mechanical
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integer, intent(in) :: ph,en
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end function plastic_dislotwin_homogenizedC
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module function elastic_C66(ph) result(C66)
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module function elastic_C66(ph,en) result(C66)
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real(pReal), dimension(6,6) :: C66
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integer, intent(in) :: ph
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integer, intent(in) :: ph, en
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end function elastic_C66
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module function elastic_mu(ph) result(mu)
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module function elastic_mu(ph,en) result(mu)
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real(pReal) :: mu
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integer, intent(in) :: ph
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integer, intent(in) :: ph, en
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end function elastic_mu
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module function elastic_nu(ph) result(nu)
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module function elastic_nu(ph,en) result(nu)
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real(pReal) :: nu
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integer, intent(in) :: ph
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integer, intent(in) :: ph, en
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end function elastic_nu
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end interface
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@ -1,18 +1,22 @@
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submodule(phase:mechanical) elastic
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type :: tParameters
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real(pReal), dimension(6,6) :: &
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C66 = 0.0_pReal !< Elastic constants in Voigt notation
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real(pReal) :: &
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mu, &
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nu
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C_11 = 0.0_pReal, &
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C_12 = 0.0_pReal, &
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C_13 = 0.0_pReal, &
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C_33 = 0.0_pReal, &
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C_44 = 0.0_pReal, &
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C_66 = 0.0_pReal
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end type tParameters
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type(tParameters), allocatable, dimension(:) :: param
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contains
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!--------------------------------------------------------------------------------------------------
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!> @brief Initialize elasticity.
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!--------------------------------------------------------------------------------------------------
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module subroutine elastic_init(phases)
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class(tNode), pointer :: &
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@ -41,22 +45,15 @@ module subroutine elastic_init(phases)
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associate(prm => param(ph))
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prm%C66(1,1) = elastic%get_asFloat('C_11')
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prm%C66(1,2) = elastic%get_asFloat('C_12')
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prm%C66(4,4) = elastic%get_asFloat('C_44')
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prm%C_11 = elastic%get_asFloat('C_11')
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prm%C_12 = elastic%get_asFloat('C_12')
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prm%C_44 = elastic%get_asFloat('C_44')
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if (any(phase_lattice(ph) == ['hP','tI'])) then
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prm%C66(1,3) = elastic%get_asFloat('C_13')
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prm%C66(3,3) = elastic%get_asFloat('C_33')
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prm%C_13 = elastic%get_asFloat('C_13')
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prm%C_33 = elastic%get_asFloat('C_33')
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end if
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if (phase_lattice(ph) == 'tI') prm%C66(6,6) = elastic%get_asFloat('C_66')
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prm%C66 = lattice_symmetrize_C66(prm%C66,phase_lattice(ph))
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prm%nu = lattice_equivalent_nu(prm%C66,'voigt')
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prm%mu = lattice_equivalent_mu(prm%C66,'voigt')
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prm%C66 = math_sym3333to66(math_Voigt66to3333(prm%C66)) ! Literature data is in Voigt notation
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if (phase_lattice(ph) == 'tI') prm%C_66 = elastic%get_asFloat('C_66')
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end associate
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end do
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@ -64,6 +61,93 @@ module subroutine elastic_init(phases)
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end subroutine elastic_init
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!--------------------------------------------------------------------------------------------------
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!> @brief Return 6x6 elasticity tensor.
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!--------------------------------------------------------------------------------------------------
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function get_C66(ph,en)
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integer, intent(in) :: &
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ph, &
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en
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real(pReal), dimension(6,6) :: get_C66
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associate(prm => param(ph))
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get_C66 = 0.0_pReal
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get_C66(1,1) = prm%C_11
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get_C66(1,2) = prm%C_12
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get_C66(4,4) = prm%C_44
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if (any(phase_lattice(ph) == ['hP','tI'])) then
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get_C66(1,3) = prm%C_13
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get_C66(3,3) = prm%C_33
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end if
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if (phase_lattice(ph) == 'tI') get_C66(6,6) = prm%C_66
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get_C66 = lattice_symmetrize_C66(get_C66,phase_lattice(ph))
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end associate
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end function get_C66
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!--------------------------------------------------------------------------------------------------
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!> @brief Return 6x6 elasticity tensor.
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!--------------------------------------------------------------------------------------------------
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module function elastic_C66(ph,en) result(C66)
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integer, intent(in) :: &
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ph, &
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en
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real(pReal), dimension(6,6) :: &
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C66
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associate(prm => param(ph))
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C66 = get_C66(ph,en)
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C66 = math_sym3333to66(math_Voigt66to3333(C66)) ! Literature data is in Voigt notation
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end associate
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end function elastic_C66
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!--------------------------------------------------------------------------------------------------
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!> @brief Return shear modulus.
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!--------------------------------------------------------------------------------------------------
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module function elastic_mu(ph,en) result(mu)
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integer, intent(in) :: &
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ph, &
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en
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real(pReal) :: &
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mu
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mu = lattice_equivalent_mu(get_C66(ph,en),'voigt')
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end function elastic_mu
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!--------------------------------------------------------------------------------------------------
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!> @brief Return Poisson ratio.
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!--------------------------------------------------------------------------------------------------
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module function elastic_nu(ph,en) result(nu)
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integer, intent(in) :: &
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ph, &
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en
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real(pReal) :: &
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nu
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nu = lattice_equivalent_nu(get_C66(ph,en),'voigt')
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end function elastic_nu
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!--------------------------------------------------------------------------------------------------
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!> @brief returns the 2nd Piola-Kirchhoff stress tensor and its tangent with respect to
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!> the elastic and intermediate deformation gradients using Hooke's law
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@ -112,42 +196,15 @@ module function phase_homogenizedC(ph,en) result(C)
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real(pReal), dimension(6,6) :: C
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integer, intent(in) :: ph, en
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plasticType: select case (phase_plasticity(ph))
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case (PLASTICITY_DISLOTWIN_ID) plasticType
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C = plastic_dislotwin_homogenizedC(ph,en)
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case default plasticType
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C = param(ph)%C66
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C = elastic_C66(ph,en)
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end select plasticType
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end function phase_homogenizedC
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module function elastic_C66(ph) result(C66)
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real(pReal), dimension(6,6) :: C66
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integer, intent(in) :: ph
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C66 = param(ph)%C66
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end function elastic_C66
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module function elastic_mu(ph) result(mu)
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real(pReal) :: mu
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integer, intent(in) :: ph
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mu = param(ph)%mu
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end function elastic_mu
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module function elastic_nu(ph) result(nu)
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real(pReal) :: nu
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integer, intent(in) :: ph
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nu = param(ph)%nu
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end function elastic_nu
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end submodule elastic
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@ -13,7 +13,6 @@ submodule(phase:plastic) dislotungsten
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type :: tParameters
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real(pReal) :: &
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D = 1.0_pReal, & !< grain size
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mu = 1.0_pReal, & !< equivalent shear modulus
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D_0 = 1.0_pReal, & !< prefactor for self-diffusion coefficient
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Q_cl = 1.0_pReal !< activation energy for dislocation climb
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real(pReal), allocatable, dimension(:) :: &
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@ -130,8 +129,6 @@ module function plastic_dislotungsten_init() result(myPlasticity)
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prm%output = pl%get_as1dString('output',defaultVal=emptyStringArray)
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#endif
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prm%mu = elastic_mu(ph)
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!--------------------------------------------------------------------------------------------------
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! slip related parameters
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N_sl = pl%get_as1dInt('N_sl',defaultVal=emptyIntArray)
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@ -324,10 +321,13 @@ module subroutine dislotungsten_dotState(Mp,T,ph,en)
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dot_rho_dip_formation, &
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dot_rho_dip_climb, &
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d_hat
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real(pReal) :: &
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mu
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associate(prm => param(ph), stt => state(ph), dot => dotState(ph), dst => dependentState(ph))
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mu = elastic_mu(ph,en)
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call kinetics(Mp,T,ph,en,&
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dot_gamma_pos,dot_gamma_neg, &
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tau_pos_out = tau_pos,tau_neg_out = tau_neg)
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@ -338,13 +338,13 @@ module subroutine dislotungsten_dotState(Mp,T,ph,en)
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dot_rho_dip_formation = 0.0_pReal
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dot_rho_dip_climb = 0.0_pReal
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else where
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d_hat = math_clip(3.0_pReal*prm%mu*prm%b_sl/(16.0_pReal*PI*abs(tau_pos+tau_neg)*0.5_pReal), &
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d_hat = math_clip(3.0_pReal*mu*prm%b_sl/(16.0_pReal*PI*abs(tau_pos+tau_neg)*0.5_pReal), &
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prm%d_caron, & ! lower limit
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dst%Lambda_sl(:,en)) ! upper limit
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dot_rho_dip_formation = merge(2.0_pReal*(d_hat-prm%d_caron)*stt%rho_mob(:,en)*dot%gamma_sl(:,en)/prm%b_sl, &
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0.0_pReal, &
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prm%dipoleformation)
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v_cl = (3.0_pReal*prm%mu*prm%D_0*exp(-prm%Q_cl/(kB*T))*prm%f_at/(2.0_pReal*PI*kB*T)) &
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v_cl = (3.0_pReal*mu*prm%D_0*exp(-prm%Q_cl/(kB*T))*prm%f_at/(2.0_pReal*PI*kB*T)) &
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* (1.0_pReal/(d_hat+prm%d_caron))
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dot_rho_dip_climb = (4.0_pReal*v_cl*stt%rho_dip(:,en))/(d_hat-prm%d_caron) ! ToDo: Discuss with Franz: Stress dependency?
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end where
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@ -376,7 +376,7 @@ module subroutine dislotungsten_dependentState(ph,en)
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associate(prm => param(ph), stt => state(ph), dst => dependentState(ph))
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dst%tau_pass(:,en) = prm%mu*prm%b_sl &
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dst%tau_pass(:,en) = elastic_mu(ph,en)*prm%b_sl &
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* sqrt(matmul(prm%h_sl_sl,stt%rho_mob(:,en)+stt%rho_dip(:,en)))
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Lambda_sl_inv = 1.0_pReal/prm%D &
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@ -14,8 +14,6 @@ submodule(phase:plastic) dislotwin
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type :: tParameters
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real(pReal) :: &
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mu = 1.0_pReal, & !< equivalent shear modulus
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nu = 1.0_pReal, & !< equivalent shear Poisson's ratio
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Q_cl = 1.0_pReal, & !< activation energy for dislocation climb
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omega = 1.0_pReal, & !< frequency factor for dislocation climb
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D = 1.0_pReal, & !< grain size
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@ -33,7 +31,9 @@ submodule(phase:plastic) dislotwin
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delta_G = 1.0_pReal, & !< Free energy difference between austensite and martensite
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i_tr = 1.0_pReal, & !< adjustment parameter to calculate MFP for transformation
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h = 1.0_pReal, & !< Stack height of hex nucleus
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T_ref = 0.0_pReal
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T_ref = 0.0_pReal, &
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a_cI = 1.0_pReal, &
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a_cF = 1.0_pReal
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real(pReal), dimension(2) :: &
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Gamma_sf = 0.0_pReal
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real(pReal), allocatable, dimension(:) :: &
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@ -62,20 +62,22 @@ submodule(phase:plastic) dislotwin
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h_sl_tr, & !< components of slip-trans interaction matrix
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h_tr_tr, & !< components of trans-trans interaction matrix
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n0_sl, & !< slip system normal
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forestProjection, &
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C66
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forestProjection
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real(pReal), allocatable, dimension(:,:,:) :: &
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P_sl, &
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P_tw, &
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P_tr, &
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C66_tw, &
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C66_tr
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P_tr
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integer :: &
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sum_N_sl, & !< total number of active slip system
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sum_N_tw, & !< total number of active twin system
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sum_N_tr !< total number of active transformation system
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integer, allocatable, dimension(:) :: &
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N_tw, &
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N_tr
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integer, allocatable, dimension(:,:) :: &
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fcc_twinNucleationSlipPair ! ToDo: Better name? Is also use for trans
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character(len=:), allocatable :: &
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lattice_tr
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character(len=pStringLen), allocatable, dimension(:) :: &
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output
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logical :: &
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@ -134,7 +136,7 @@ module function plastic_dislotwin_init() result(myPlasticity)
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sizeState, sizeDotState, &
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startIndex, endIndex
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integer, dimension(:), allocatable :: &
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N_sl, N_tw, N_tr
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N_sl
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real(pReal), allocatable, dimension(:) :: &
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rho_mob_0, & !< initial unipolar dislocation density per slip system
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rho_dip_0 !< initial dipole dislocation density per slip system
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@ -185,10 +187,6 @@ module function plastic_dislotwin_init() result(myPlasticity)
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prm%output = pl%get_as1dString('output',defaultVal=emptyStringArray)
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#endif
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! This data is read in already in lattice
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prm%mu = elastic_mu(ph)
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prm%nu = elastic_nu(ph)
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prm%C66 = elastic_C66(ph)
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!--------------------------------------------------------------------------------------------------
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! slip related parameters
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@ -260,35 +258,33 @@ module function plastic_dislotwin_init() result(myPlasticity)
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|
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!--------------------------------------------------------------------------------------------------
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! twin related parameters
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N_tw = pl%get_as1dInt('N_tw', defaultVal=emptyIntArray)
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prm%sum_N_tw = sum(abs(N_tw))
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prm%N_tw = pl%get_as1dInt('N_tw', defaultVal=emptyIntArray)
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prm%sum_N_tw = sum(abs(prm%N_tw))
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twinActive: if (prm%sum_N_tw > 0) then
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prm%systems_tw = lattice_labels_twin(N_tw,phase_lattice(ph))
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prm%P_tw = lattice_SchmidMatrix_twin(N_tw,phase_lattice(ph),phase_cOverA(ph))
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prm%h_tw_tw = lattice_interaction_TwinByTwin(N_tw,pl%get_as1dFloat('h_tw-tw'), &
|
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prm%systems_tw = lattice_labels_twin(prm%N_tw,phase_lattice(ph))
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prm%P_tw = lattice_SchmidMatrix_twin(prm%N_tw,phase_lattice(ph),phase_cOverA(ph))
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prm%h_tw_tw = lattice_interaction_TwinByTwin(prm%N_tw,pl%get_as1dFloat('h_tw-tw'), &
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phase_lattice(ph))
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prm%b_tw = pl%get_as1dFloat('b_tw', requiredSize=size(N_tw))
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prm%t_tw = pl%get_as1dFloat('t_tw', requiredSize=size(N_tw))
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prm%r = pl%get_as1dFloat('p_tw', requiredSize=size(N_tw))
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prm%b_tw = pl%get_as1dFloat('b_tw', requiredSize=size(prm%N_tw))
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prm%t_tw = pl%get_as1dFloat('t_tw', requiredSize=size(prm%N_tw))
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prm%r = pl%get_as1dFloat('p_tw', requiredSize=size(prm%N_tw))
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prm%x_c_tw = pl%get_asFloat('x_c_tw')
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prm%L_tw = pl%get_asFloat('L_tw')
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prm%i_tw = pl%get_asFloat('i_tw')
|
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|
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prm%gamma_char= lattice_characteristicShear_Twin(N_tw,phase_lattice(ph),phase_cOverA(ph))
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prm%C66_tw = lattice_C66_twin(N_tw,prm%C66,phase_lattice(ph),phase_cOverA(ph))
|
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prm%gamma_char= lattice_characteristicShear_Twin(prm%N_tw,phase_lattice(ph),phase_cOverA(ph))
|
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if (.not. prm%fccTwinTransNucleation) then
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prm%dot_N_0_tw = pl%get_as1dFloat('dot_N_0_tw')
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prm%dot_N_0_tw = math_expand(prm%dot_N_0_tw,N_tw)
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end if
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prm%dot_N_0_tw = math_expand(prm%dot_N_0_tw,prm%N_tw)
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endif
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! expand: family => system
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prm%b_tw = math_expand(prm%b_tw,N_tw)
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prm%t_tw = math_expand(prm%t_tw,N_tw)
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prm%r = math_expand(prm%r,N_tw)
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prm%b_tw = math_expand(prm%b_tw,prm%N_tw)
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prm%t_tw = math_expand(prm%t_tw,prm%N_tw)
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prm%r = math_expand(prm%r,prm%N_tw)
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||||
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! sanity checks
|
||||
if ( prm%x_c_tw < 0.0_pReal) extmsg = trim(extmsg)//' x_c_tw'
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||||
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|
@ -307,39 +303,38 @@ module function plastic_dislotwin_init() result(myPlasticity)
|
|||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! transformation related parameters
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||||
N_tr = pl%get_as1dInt('N_tr', defaultVal=emptyIntArray)
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prm%sum_N_tr = sum(abs(N_tr))
|
||||
prm%N_tr = pl%get_as1dInt('N_tr', defaultVal=emptyIntArray)
|
||||
prm%sum_N_tr = sum(abs(prm%N_tr))
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transActive: if (prm%sum_N_tr > 0) then
|
||||
prm%b_tr = pl%get_as1dFloat('b_tr')
|
||||
prm%b_tr = math_expand(prm%b_tr,N_tr)
|
||||
prm%b_tr = math_expand(prm%b_tr,prm%N_tr)
|
||||
|
||||
prm%h = pl%get_asFloat('h', defaultVal=0.0_pReal) ! ToDo: How to handle that???
|
||||
prm%i_tr = pl%get_asFloat('i_tr', defaultVal=0.0_pReal) ! ToDo: How to handle that???
|
||||
prm%delta_G = pl%get_asFloat('delta_G')
|
||||
prm%x_c_tr = pl%get_asFloat('x_c_tr', defaultVal=0.0_pReal) ! ToDo: How to handle that???
|
||||
prm%L_tr = pl%get_asFloat('L_tr')
|
||||
prm%a_cI = pl%get_asFloat('a_cI', defaultVal=0.0_pReal)
|
||||
prm%a_cF = pl%get_asFloat('a_cF', defaultVal=0.0_pReal)
|
||||
|
||||
prm%h_tr_tr = lattice_interaction_TransByTrans(N_tr,pl%get_as1dFloat('h_tr-tr'),&
|
||||
prm%lattice_tr = pl%get_asString('lattice_tr')
|
||||
|
||||
prm%h_tr_tr = lattice_interaction_TransByTrans(prm%N_tr,pl%get_as1dFloat('h_tr-tr'),&
|
||||
phase_lattice(ph))
|
||||
|
||||
prm%C66_tr = lattice_C66_trans(N_tr,prm%C66,pl%get_asString('lattice_tr'), &
|
||||
0.0_pReal, &
|
||||
pl%get_asFloat('a_cI', defaultVal=0.0_pReal), &
|
||||
pl%get_asFloat('a_cF', defaultVal=0.0_pReal))
|
||||
|
||||
prm%P_tr = lattice_SchmidMatrix_trans(N_tr,pl%get_asString('lattice_tr'), &
|
||||
prm%P_tr = lattice_SchmidMatrix_trans(prm%N_tr,prm%lattice_tr, &
|
||||
0.0_pReal, &
|
||||
pl%get_asFloat('a_cI', defaultVal=0.0_pReal), &
|
||||
pl%get_asFloat('a_cF', defaultVal=0.0_pReal))
|
||||
prm%a_cI, &
|
||||
prm%a_cF)
|
||||
|
||||
if (phase_lattice(ph) /= 'cF') then
|
||||
prm%dot_N_0_tr = pl%get_as1dFloat('dot_N_0_tr')
|
||||
prm%dot_N_0_tr = math_expand(prm%dot_N_0_tr,N_tr)
|
||||
end if
|
||||
prm%dot_N_0_tr = math_expand(prm%dot_N_0_tr,prm%N_tr)
|
||||
endif
|
||||
prm%t_tr = pl%get_as1dFloat('t_tr')
|
||||
prm%t_tr = math_expand(prm%t_tr,N_tr)
|
||||
prm%t_tr = math_expand(prm%t_tr,prm%N_tr)
|
||||
prm%s = pl%get_as1dFloat('p_tr',defaultVal=[0.0_pReal])
|
||||
prm%s = math_expand(prm%s,N_tr)
|
||||
prm%s = math_expand(prm%s,prm%N_tr)
|
||||
|
||||
! sanity checks
|
||||
if ( prm%x_c_tr < 0.0_pReal) extmsg = trim(extmsg)//' x_c_tr'
|
||||
|
|
@ -386,16 +381,16 @@ module function plastic_dislotwin_init() result(myPlasticity)
|
|||
end if
|
||||
|
||||
slipAndTwinActive: if (prm%sum_N_sl * prm%sum_N_tw > 0) then
|
||||
prm%h_sl_tw = lattice_interaction_SlipByTwin(N_sl,N_tw,pl%get_as1dFloat('h_sl-tw'), &
|
||||
prm%h_sl_tw = lattice_interaction_SlipByTwin(N_sl,prm%N_tw,pl%get_as1dFloat('h_sl-tw'), &
|
||||
phase_lattice(ph))
|
||||
if (prm%fccTwinTransNucleation .and. size(N_tw) /= 1) extmsg = trim(extmsg)//' N_tw: nucleation'
|
||||
end if slipAndTwinActive
|
||||
if (prm%fccTwinTransNucleation .and. size(prm%N_tw) /= 1) extmsg = trim(extmsg)//' N_tw: nucleation'
|
||||
endif slipAndTwinActive
|
||||
|
||||
slipAndTransActive: if (prm%sum_N_sl * prm%sum_N_tr > 0) then
|
||||
prm%h_sl_tr = lattice_interaction_SlipByTrans(N_sl,N_tr,pl%get_as1dFloat('h_sl-tr'), &
|
||||
prm%h_sl_tr = lattice_interaction_SlipByTrans(N_sl,prm%N_tr,pl%get_as1dFloat('h_sl-tr'), &
|
||||
phase_lattice(ph))
|
||||
if (prm%fccTwinTransNucleation .and. size(N_tr) /= 1) extmsg = trim(extmsg)//' N_tr: nucleation'
|
||||
end if slipAndTransActive
|
||||
if (prm%fccTwinTransNucleation .and. size(prm%N_tr) /= 1) extmsg = trim(extmsg)//' N_tr: nucleation'
|
||||
endif slipAndTransActive
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! allocate state arrays
|
||||
|
|
@ -478,27 +473,40 @@ module function plastic_dislotwin_homogenizedC(ph,en) result(homogenizedC)
|
|||
integer, intent(in) :: &
|
||||
ph, en
|
||||
real(pReal), dimension(6,6) :: &
|
||||
homogenizedC
|
||||
homogenizedC, &
|
||||
C66
|
||||
real(pReal), dimension(:,:,:), allocatable :: &
|
||||
C66_tw, &
|
||||
C66_tr
|
||||
|
||||
integer :: i
|
||||
real(pReal) :: f_unrotated
|
||||
|
||||
|
||||
associate(prm => param(ph), stt => state(ph))
|
||||
|
||||
C66 = elastic_C66(ph,en)
|
||||
|
||||
f_unrotated = 1.0_pReal &
|
||||
- sum(stt%f_tw(1:prm%sum_N_tw,en)) &
|
||||
- sum(stt%f_tr(1:prm%sum_N_tr,en))
|
||||
|
||||
homogenizedC = f_unrotated * prm%C66
|
||||
do i=1,prm%sum_N_tw
|
||||
homogenizedC = homogenizedC &
|
||||
+ stt%f_tw(i,en)*prm%C66_tw(1:6,1:6,i)
|
||||
end do
|
||||
do i=1,prm%sum_N_tr
|
||||
homogenizedC = homogenizedC &
|
||||
+ stt%f_tr(i,en)*prm%C66_tr(1:6,1:6,i)
|
||||
end do
|
||||
homogenizedC = f_unrotated * C66
|
||||
|
||||
twinActive: if (prm%sum_N_tw > 0) then
|
||||
C66_tw = lattice_C66_twin(prm%N_tw,C66,phase_lattice(ph),phase_cOverA(ph))
|
||||
do i=1,prm%sum_N_tw
|
||||
homogenizedC = homogenizedC &
|
||||
+ stt%f_tw(i,en)*C66_tw(1:6,1:6,i)
|
||||
end do
|
||||
end if twinActive
|
||||
|
||||
transActive: if (prm%sum_N_tr > 0) then
|
||||
C66_tr = lattice_C66_trans(prm%N_tr,C66,prm%lattice_tr,0.0_pReal,prm%a_cI,prm%a_cF)
|
||||
do i=1,prm%sum_N_tr
|
||||
homogenizedC = homogenizedC &
|
||||
+ stt%f_tr(i,en)*C66_tr(1:6,1:6,i)
|
||||
end do
|
||||
end if transActive
|
||||
|
||||
end associate
|
||||
|
||||
|
|
@ -647,10 +655,15 @@ module subroutine dislotwin_dotState(Mp,T,ph,en)
|
|||
dot_gamma_tw
|
||||
real(pReal), dimension(param(ph)%sum_N_tr) :: &
|
||||
dot_gamma_tr
|
||||
|
||||
real(pReal) :: &
|
||||
mu, &
|
||||
nu
|
||||
|
||||
associate(prm => param(ph), stt => state(ph), dot => dotState(ph), dst => dependentState(ph))
|
||||
|
||||
mu = elastic_mu(ph,en)
|
||||
nu = elastic_nu(ph,en)
|
||||
|
||||
f_unrotated = 1.0_pReal &
|
||||
- sum(stt%f_tw(1:prm%sum_N_tw,en)) &
|
||||
- sum(stt%f_tr(1:prm%sum_N_tr,en))
|
||||
|
|
@ -665,7 +678,7 @@ module subroutine dislotwin_dotState(Mp,T,ph,en)
|
|||
dot_rho_dip_formation(i) = 0.0_pReal
|
||||
dot_rho_dip_climb(i) = 0.0_pReal
|
||||
else significantSlipStress
|
||||
d_hat = 3.0_pReal*prm%mu*prm%b_sl(i)/(16.0_pReal*PI*abs(tau))
|
||||
d_hat = 3.0_pReal*mu*prm%b_sl(i)/(16.0_pReal*PI*abs(tau))
|
||||
d_hat = math_clip(d_hat, right = dst%Lambda_sl(i,en))
|
||||
d_hat = math_clip(d_hat, left = prm%d_caron(i))
|
||||
|
||||
|
|
@ -677,8 +690,8 @@ module subroutine dislotwin_dotState(Mp,T,ph,en)
|
|||
else
|
||||
! Argon & Moffat, Acta Metallurgica, Vol. 29, pg 293 to 299, 1981
|
||||
sigma_cl = dot_product(prm%n0_sl(1:3,i),matmul(Mp,prm%n0_sl(1:3,i)))
|
||||
b_d = merge(24.0_pReal*PI*(1.0_pReal - prm%nu)/(2.0_pReal + prm%nu) &
|
||||
* (prm%Gamma_sf(1) + prm%Gamma_sf(2) * T) / (prm%mu*prm%b_sl(i)), &
|
||||
b_d = merge(24.0_pReal*PI*(1.0_pReal - nu)/(2.0_pReal + nu) &
|
||||
* (prm%Gamma_sf(1) + prm%Gamma_sf(2) * T) / (mu*prm%b_sl(i)), &
|
||||
1.0_pReal, &
|
||||
prm%ExtendedDislocations)
|
||||
v_cl = 2.0_pReal*prm%omega*b_d**2.0_pReal*exp(-prm%Q_cl/(kB*T)) &
|
||||
|
|
@ -732,10 +745,15 @@ module subroutine dislotwin_dependentState(T,ph,en)
|
|||
f_over_t_tr
|
||||
real(pReal), dimension(:), allocatable :: &
|
||||
x0
|
||||
|
||||
real(pReal) :: &
|
||||
mu, &
|
||||
nu
|
||||
|
||||
associate(prm => param(ph), stt => state(ph), dst => dependentState(ph))
|
||||
|
||||
mu = elastic_mu(ph,en)
|
||||
nu = elastic_nu(ph,en)
|
||||
|
||||
sumf_tw = sum(stt%f_tw(1:prm%sum_N_tw,en))
|
||||
sumf_tr = sum(stt%f_tr(1:prm%sum_N_tr,en))
|
||||
|
||||
|
|
@ -760,24 +778,24 @@ module subroutine dislotwin_dependentState(T,ph,en)
|
|||
dst%Lambda_tr(:,en) = prm%i_tr*prm%D/(1.0_pReal+prm%D*inv_lambda_tr_tr)
|
||||
|
||||
!* threshold stress for dislocation motion
|
||||
dst%tau_pass(:,en) = prm%mu*prm%b_sl* sqrt(matmul(prm%h_sl_sl,stt%rho_mob(:,en)+stt%rho_dip(:,en)))
|
||||
dst%tau_pass(:,en) = mu*prm%b_sl* sqrt(matmul(prm%h_sl_sl,stt%rho_mob(:,en)+stt%rho_dip(:,en)))
|
||||
|
||||
!* threshold stress for growing twin/martensite
|
||||
dst%tau_hat_tw(:,en) = Gamma/(3.0_pReal*prm%b_tw) &
|
||||
+ 3.0_pReal*prm%b_tw*prm%mu/(prm%L_tw*prm%b_tw)
|
||||
+ 3.0_pReal*prm%b_tw*mu/(prm%L_tw*prm%b_tw)
|
||||
dst%tau_hat_tr(:,en) = Gamma/(3.0_pReal*prm%b_tr) &
|
||||
+ 3.0_pReal*prm%b_tr*prm%mu/(prm%L_tr*prm%b_tr) &
|
||||
+ 3.0_pReal*prm%b_tr*mu/(prm%L_tr*prm%b_tr) &
|
||||
+ prm%h*prm%delta_G/(3.0_pReal*prm%b_tr)
|
||||
|
||||
dst%V_tw(:,en) = (PI/4.0_pReal)*prm%t_tw*dst%Lambda_tw(:,en)**2.0_pReal
|
||||
dst%V_tr(:,en) = (PI/4.0_pReal)*prm%t_tr*dst%Lambda_tr(:,en)**2.0_pReal
|
||||
|
||||
|
||||
x0 = prm%mu*prm%b_tw**2.0_pReal/(Gamma*8.0_pReal*PI)*(2.0_pReal+prm%nu)/(1.0_pReal-prm%nu) ! ToDo: In the paper, this is the Burgers vector for slip
|
||||
dst%tau_r_tw(:,en) = prm%mu*prm%b_tw/(2.0_pReal*PI)*(1.0_pReal/(x0+prm%x_c_tw)+cos(pi/3.0_pReal)/x0)
|
||||
x0 = mu*prm%b_tw**2.0_pReal/(Gamma*8.0_pReal*PI)*(2.0_pReal+nu)/(1.0_pReal-nu) ! ToDo: In the paper, this is the Burgers vector for slip
|
||||
dst%tau_r_tw(:,en) = mu*prm%b_tw/(2.0_pReal*PI)*(1.0_pReal/(x0+prm%x_c_tw)+cos(pi/3.0_pReal)/x0)
|
||||
|
||||
x0 = prm%mu*prm%b_tr**2.0_pReal/(Gamma*8.0_pReal*PI)*(2.0_pReal+prm%nu)/(1.0_pReal-prm%nu) ! ToDo: In the paper, this is the Burgers vector for slip
|
||||
dst%tau_r_tr(:,en) = prm%mu*prm%b_tr/(2.0_pReal*PI)*(1.0_pReal/(x0+prm%x_c_tr)+cos(pi/3.0_pReal)/x0)
|
||||
x0 = mu*prm%b_tr**2.0_pReal/(Gamma*8.0_pReal*PI)*(2.0_pReal+nu)/(1.0_pReal-nu) ! ToDo: In the paper, this is the Burgers vector for slip
|
||||
dst%tau_r_tr(:,en) = mu*prm%b_tr/(2.0_pReal*PI)*(1.0_pReal/(x0+prm%x_c_tr)+cos(pi/3.0_pReal)/x0)
|
||||
|
||||
end associate
|
||||
|
||||
|
|
|
|||
|
|
@ -242,9 +242,6 @@ module function plastic_nonlocal_init() result(myPlasticity)
|
|||
|
||||
prm%atol_rho = pl%get_asFloat('atol_rho',defaultVal=1.0_pReal)
|
||||
|
||||
prm%mu = elastic_mu(ph)
|
||||
prm%nu = elastic_nu(ph)
|
||||
|
||||
ini%N_sl = pl%get_as1dInt('N_sl',defaultVal=emptyIntArray)
|
||||
prm%sum_N_sl = sum(abs(ini%N_sl))
|
||||
slipActive: if (prm%sum_N_sl > 0) then
|
||||
|
|
@ -570,7 +567,9 @@ module subroutine nonlocal_dependentState(ph, en, ip, el)
|
|||
n
|
||||
real(pReal) :: &
|
||||
FVsize, &
|
||||
nRealNeighbors ! number of really existing neighbors
|
||||
nRealNeighbors, & ! number of really existing neighbors
|
||||
mu, &
|
||||
nu
|
||||
integer, dimension(2) :: &
|
||||
neighbors
|
||||
real(pReal), dimension(2) :: &
|
||||
|
|
@ -609,6 +608,8 @@ module subroutine nonlocal_dependentState(ph, en, ip, el)
|
|||
|
||||
associate(prm => param(ph),dst => dependentState(ph), stt => state(ph))
|
||||
|
||||
mu = elastic_mu(ph,en)
|
||||
nu = elastic_nu(ph,en)
|
||||
rho = getRho(ph,en)
|
||||
|
||||
stt%rho_forest(:,en) = matmul(prm%forestProjection_Edge, sum(abs(rho(:,edg)),2)) &
|
||||
|
|
@ -627,7 +628,7 @@ module subroutine nonlocal_dependentState(ph, en, ip, el)
|
|||
myInteractionMatrix = prm%h_sl_sl
|
||||
end if
|
||||
|
||||
dst%tau_pass(:,en) = prm%mu * prm%b_sl &
|
||||
dst%tau_pass(:,en) = mu * prm%b_sl &
|
||||
* sqrt(matmul(myInteractionMatrix,sum(abs(rho),2)))
|
||||
|
||||
!*** calculate the dislocation stress of the neighboring excess dislocation densities
|
||||
|
|
@ -728,8 +729,8 @@ module subroutine nonlocal_dependentState(ph, en, ip, el)
|
|||
where(rhoTotal > 0.0_pReal) rhoExcessGradient_over_rho = rhoExcessGradient / rhoTotal
|
||||
|
||||
! ... gives the local stress correction when multiplied with a factor
|
||||
dst%tau_back(s,en) = - prm%mu * prm%b_sl(s) / (2.0_pReal * PI) &
|
||||
* ( rhoExcessGradient_over_rho(1) / (1.0_pReal - prm%nu) &
|
||||
dst%tau_back(s,en) = - mu * prm%b_sl(s) / (2.0_pReal * PI) &
|
||||
* ( rhoExcessGradient_over_rho(1) / (1.0_pReal - nu) &
|
||||
+ rhoExcessGradient_over_rho(2))
|
||||
end do
|
||||
end if
|
||||
|
|
@ -855,6 +856,9 @@ module subroutine plastic_nonlocal_deltaState(Mp,ph,en)
|
|||
c, & ! character of dislocation
|
||||
t, & ! type of dislocation
|
||||
s ! index of my current slip system
|
||||
real(pReal) :: &
|
||||
mu, &
|
||||
nu
|
||||
real(pReal), dimension(param(ph)%sum_N_sl,10) :: &
|
||||
deltaRhoRemobilization, & ! density increment by remobilization
|
||||
deltaRhoDipole2SingleStress ! density increment by dipole dissociation (by stress change)
|
||||
|
|
@ -869,9 +873,12 @@ module subroutine plastic_nonlocal_deltaState(Mp,ph,en)
|
|||
dUpper, & ! current maximum stable dipole distance for edges and screws
|
||||
dUpperOld, & ! old maximum stable dipole distance for edges and screws
|
||||
deltaDUpper ! change in maximum stable dipole distance for edges and screws
|
||||
|
||||
|
||||
associate(prm => param(ph),dst => dependentState(ph),del => deltaState(ph))
|
||||
|
||||
mu = elastic_mu(ph,en)
|
||||
nu = elastic_nu(ph,en)
|
||||
|
||||
!*** shortcut to state variables
|
||||
forall (s = 1:prm%sum_N_sl, t = 1:4) v(s,t) = plasticState(ph)%state(iV(s,t,ph),en)
|
||||
forall (s = 1:prm%sum_N_sl, c = 1:2) dUpperOld(s,c) = plasticState(ph)%state(iD(s,c,ph),en)
|
||||
|
|
@ -901,8 +908,8 @@ module subroutine plastic_nonlocal_deltaState(Mp,ph,en)
|
|||
if (abs(tau(s)) < 1.0e-15_pReal) tau(s) = 1.0e-15_pReal
|
||||
end do
|
||||
|
||||
dUpper(:,1) = prm%mu * prm%b_sl/(8.0_pReal * PI * (1.0_pReal - prm%nu) * abs(tau))
|
||||
dUpper(:,2) = prm%mu * prm%b_sl/(4.0_pReal * PI * abs(tau))
|
||||
dUpper(:,1) = mu * prm%b_sl/(8.0_pReal * PI * (1.0_pReal - nu) * abs(tau))
|
||||
dUpper(:,2) = mu * prm%b_sl/(4.0_pReal * PI * abs(tau))
|
||||
|
||||
where(dNeq0(sqrt(sum(abs(rho(:,edg)),2)))) &
|
||||
dUpper(:,1) = min(1.0_pReal/sqrt(sum(abs(rho(:,edg)),2)),dUpper(:,1))
|
||||
|
|
@ -975,7 +982,9 @@ module subroutine nonlocal_dotState(Mp, Temperature,timestep, &
|
|||
dLower, & !< minimum stable dipole distance for edges and screws
|
||||
dUpper !< current maximum stable dipole distance for edges and screws
|
||||
real(pReal) :: &
|
||||
D_SD
|
||||
D_SD, &
|
||||
mu, &
|
||||
nu
|
||||
|
||||
if (timestep <= 0.0_pReal) then
|
||||
plasticState(ph)%dotState = 0.0_pReal
|
||||
|
|
@ -984,6 +993,9 @@ module subroutine nonlocal_dotState(Mp, Temperature,timestep, &
|
|||
|
||||
associate(prm => param(ph), dst => dependentState(ph), dot => dotState(ph), stt => state(ph))
|
||||
|
||||
mu = elastic_mu(ph,en)
|
||||
nu = elastic_nu(ph,en)
|
||||
|
||||
tau = 0.0_pReal
|
||||
dot_gamma = 0.0_pReal
|
||||
|
||||
|
|
@ -1005,8 +1017,8 @@ module subroutine nonlocal_dotState(Mp, Temperature,timestep, &
|
|||
end do
|
||||
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dLower = prm%minDipoleHeight
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dUpper(:,1) = prm%mu * prm%b_sl/(8.0_pReal * PI * (1.0_pReal - prm%nu) * abs(tau))
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dUpper(:,2) = prm%mu * prm%b_sl/(4.0_pReal * PI * abs(tau))
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dUpper(:,1) = mu * prm%b_sl/(8.0_pReal * PI * (1.0_pReal - nu) * abs(tau))
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dUpper(:,2) = mu * prm%b_sl/(4.0_pReal * PI * abs(tau))
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where(dNeq0(sqrt(sum(abs(rho(:,edg)),2)))) &
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dUpper(:,1) = min(1.0_pReal/sqrt(sum(abs(rho(:,edg)),2)),dUpper(:,1))
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@ -1083,8 +1095,8 @@ module subroutine nonlocal_dotState(Mp, Temperature,timestep, &
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! thermally activated annihilation of edge dipoles by climb
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rhoDotThermalAnnihilation = 0.0_pReal
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D_SD = prm%D_0 * exp(-prm%Q_cl / (kB * Temperature)) ! eq. 3.53
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v_climb = D_SD * prm%mu * prm%V_at &
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/ (PI * (1.0_pReal-prm%nu) * (dUpper(:,1) + dLower(:,1)) * kB * Temperature) ! eq. 3.54
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v_climb = D_SD * mu * prm%V_at &
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/ (PI * (1.0_pReal-nu) * (dUpper(:,1) + dLower(:,1)) * kB * Temperature) ! eq. 3.54
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forall (s = 1:prm%sum_N_sl, dUpper(s,1) > dLower(s,1)) &
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rhoDotThermalAnnihilation(s,9) = max(- 4.0_pReal * rhoDip(s,1) * v_climb(s) / (dUpper(s,1) - dLower(s,1)), &
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- rhoDip(s,1) / timestep - rhoDotAthermalAnnihilation(s,9) &
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Reference in New Issue