114 lines
4.5 KiB
Fortran
114 lines
4.5 KiB
Fortran
submodule(phase:mechanical) elastic
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type :: tParameters
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real(pReal), dimension(6,6) :: &
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C66 !< Elastic constants in Voig notation
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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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module subroutine elastic_init(phases)
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class(tNode), pointer :: &
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phases
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integer :: &
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ph
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class(tNode), pointer :: &
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phase, &
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mech, &
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elastic
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print'(/,a)', ' <<<+- phase:mechanical:elastic init -+>>>'
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print'(/,a)', ' <<<+- phase:mechanical:elastic:Hooke init -+>>>'
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print'(a,i0)', ' # phases: ',phases%length; flush(IO_STDOUT)
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allocate(param(phases%length))
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do ph = 1, phases%length
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phase => phases%get(ph)
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mech => phase%get('mechanical')
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elastic => mech%get('elastic')
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if (elastic%get_asString('type') /= 'Hooke') call IO_error(200,ext_msg=elastic%get_asString('type'))
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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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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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endif
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if (phase_lattice(ph) == 'tI') prm%C66(6,6) = elastic%get_asFloat('C_66')
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end associate
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enddo
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end subroutine elastic_init
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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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!--------------------------------------------------------------------------------------------------
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module subroutine phase_hooke_SandItsTangents(S, dS_dFe, dS_dFi, &
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Fe, Fi, 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), intent(in), dimension(3,3) :: &
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Fe, & !< elastic deformation gradient
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Fi !< intermediate deformation gradient
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real(pReal), intent(out), dimension(3,3) :: &
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S !< 2nd Piola-Kirchhoff stress tensor in lattice configuration
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real(pReal), intent(out), dimension(3,3,3,3) :: &
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dS_dFe, & !< derivative of 2nd P-K stress with respect to elastic deformation gradient
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dS_dFi !< derivative of 2nd P-K stress with respect to intermediate deformation gradient
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real(pReal), dimension(3,3) :: E
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real(pReal), dimension(3,3,3,3) :: C
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integer :: &
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i, j
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C = math_66toSym3333(phase_homogenizedC(ph,en))
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C = phase_damage_C(C,ph,en)
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E = 0.5_pReal*(matmul(transpose(Fe),Fe)-math_I3) !< Green-Lagrange strain in unloaded configuration
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S = math_mul3333xx33(C,matmul(matmul(transpose(Fi),E),Fi)) !< 2PK stress in lattice configuration in work conjugate with GL strain pulled back to lattice configuration
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do i =1, 3;do j=1,3
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dS_dFe(i,j,1:3,1:3) = matmul(Fe,matmul(matmul(Fi,C(i,j,1:3,1:3)),transpose(Fi))) !< dS_ij/dFe_kl = C_ijmn * Fi_lm * Fi_on * Fe_ko
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dS_dFi(i,j,1:3,1:3) = 2.0_pReal*matmul(matmul(E,Fi),C(i,j,1:3,1:3)) !< dS_ij/dFi_kl = C_ijln * E_km * Fe_mn
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enddo; enddo
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end subroutine phase_hooke_SandItsTangents
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!--------------------------------------------------------------------------------------------------
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!> @brief returns the homogenized elasticity matrix
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!> ToDo: homogenizedC66 would be more consistent
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!--------------------------------------------------------------------------------------------------
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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 = lattice_C66(1:6,1:6,ph)
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end select plasticType
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end function phase_homogenizedC
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end submodule elastic
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