DAMASK_EICMD/src/phase_mechanical_elastic.f90

154 lines
5.2 KiB
Fortran

submodule(phase:mechanical) elastic
type :: tParameters
real(pReal), dimension(6,6) :: &
C66 = 0.0_pReal !< Elastic constants in Voigt notation
real(pReal) :: &
mu, &
nu
end type tParameters
type(tParameters), allocatable, dimension(:) :: param
contains
module subroutine elastic_init(phases)
class(tNode), pointer :: &
phases
integer :: &
ph
class(tNode), pointer :: &
phase, &
mech, &
elastic
print'(/,a)', ' <<<+- phase:mechanical:elastic init -+>>>'
print'(/,a)', ' <<<+- phase:mechanical:elastic:Hooke init -+>>>'
print'(a,i0)', ' # phases: ',phases%length; flush(IO_STDOUT)
allocate(param(phases%length))
do ph = 1, phases%length
phase => phases%get(ph)
mech => phase%get('mechanical')
elastic => mech%get('elastic')
if (elastic%get_asString('type') /= 'Hooke') call IO_error(200,ext_msg=elastic%get_asString('type'))
associate(prm => param(ph))
prm%C66(1,1) = elastic%get_asFloat('C_11')
prm%C66(1,2) = elastic%get_asFloat('C_12')
prm%C66(4,4) = elastic%get_asFloat('C_44')
if (any(phase_lattice(ph) == ['hP','tI'])) then
prm%C66(1,3) = elastic%get_asFloat('C_13')
prm%C66(3,3) = elastic%get_asFloat('C_33')
endif
if (phase_lattice(ph) == 'tI') prm%C66(6,6) = elastic%get_asFloat('C_66')
prm%C66 = lattice_symmetrize_C66(prm%C66,phase_lattice(ph))
prm%nu = lattice_equivalent_nu(prm%C66,'voigt')
prm%mu = lattice_equivalent_mu(prm%C66,'voigt')
prm%C66 = math_sym3333to66(math_Voigt66to3333(prm%C66)) ! Literature data is in Voigt notation
end associate
enddo
end subroutine elastic_init
!--------------------------------------------------------------------------------------------------
!> @brief returns the 2nd Piola-Kirchhoff stress tensor and its tangent with respect to
!> the elastic and intermediate deformation gradients using Hooke's law
!--------------------------------------------------------------------------------------------------
module subroutine phase_hooke_SandItsTangents(S, dS_dFe, dS_dFi, &
Fe, Fi, ph, en)
integer, intent(in) :: &
ph, &
en
real(pReal), intent(in), dimension(3,3) :: &
Fe, & !< elastic deformation gradient
Fi !< intermediate deformation gradient
real(pReal), intent(out), dimension(3,3) :: &
S !< 2nd Piola-Kirchhoff stress tensor in lattice configuration
real(pReal), intent(out), dimension(3,3,3,3) :: &
dS_dFe, & !< derivative of 2nd P-K stress with respect to elastic deformation gradient
dS_dFi !< derivative of 2nd P-K stress with respect to intermediate deformation gradient
real(pReal), dimension(3,3) :: E
real(pReal), dimension(3,3,3,3) :: C
integer :: &
i, j
C = math_66toSym3333(phase_homogenizedC(ph,en))
C = phase_damage_C(C,ph,en)
E = 0.5_pReal*(matmul(transpose(Fe),Fe)-math_I3) !< Green-Lagrange strain in unloaded configuration
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
do i =1, 3;do j=1,3
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
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
enddo; enddo
end subroutine phase_hooke_SandItsTangents
!--------------------------------------------------------------------------------------------------
!> @brief returns the homogenized elasticity matrix
!> ToDo: homogenizedC66 would be more consistent
!--------------------------------------------------------------------------------------------------
module function phase_homogenizedC(ph,en) result(C)
real(pReal), dimension(6,6) :: C
integer, intent(in) :: ph, en
plasticType: select case (phase_plasticity(ph))
case (PLASTICITY_DISLOTWIN_ID) plasticType
C = plastic_dislotwin_homogenizedC(ph,en)
case default plasticType
C = param(ph)%C66
end select plasticType
end function phase_homogenizedC
module function elastic_C66(ph) result(C66)
real(pReal), dimension(6,6) :: C66
integer, intent(in) :: ph
C66 = param(ph)%C66
end function elastic_C66
module function elastic_mu(ph) result(mu)
real(pReal) :: mu
integer, intent(in) :: ph
mu = param(ph)%mu
end function elastic_mu
module function elastic_nu(ph) result(nu)
real(pReal) :: nu
integer, intent(in) :: ph
nu = param(ph)%mu
end function elastic_nu
end submodule elastic