lattice is an optional parameter;
argument order changed to reflect that
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@ -655,7 +655,7 @@ module function RGC_updateState(P,F,avgF,dt,dPdF,ce) result(doneAndHappy)
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C = phase_homogenizedC66(material_phaseID(co,ce),material_phaseEntry(co,ce)) ! damage not included!
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equivalentMu = lattice_isotropic_mu(C,phase_lattice_structure(co,ce),'isostrain')
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equivalentMu = lattice_isotropic_mu(C,'isostrain')
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end function equivalentMu
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@ -2149,17 +2149,20 @@ end function getlabels
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!> @brief Equivalent Poisson's ratio (ν)
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!> @details https://doi.org/10.1143/JPSJ.20.635
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!--------------------------------------------------------------------------------------------------
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pure function lattice_isotropic_nu(C,lattice,assumption) result(nu)
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pure function lattice_isotropic_nu(C,assumption,lattice) result(nu)
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real(pReal), dimension(6,6), intent(in) :: C !< Stiffness tensor (Voigt notation)
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character(len=*), intent(in) :: lattice
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character(len=*), intent(in) :: assumption !< Assumption (isostrain = 'Voigt', isostress = 'Reuss')
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character(len=*), optional, intent(in) :: lattice
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real(pReal) :: nu
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real(pReal) :: K, mu
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logical :: error
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real(pReal), dimension(6,6) :: S
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logical :: error
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real(pReal), dimension(6,6) :: S
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character(len=:), allocatable :: lattice_
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lattice_ = IO_WHITESPACE
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if (present(lattice)) lattice_ = lattice
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if (IO_lc(assumption) == 'isostrain') then
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K = sum(C(1:3,1:3)) / 9.0_pReal
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@ -2171,7 +2174,7 @@ pure function lattice_isotropic_nu(C,lattice,assumption) result(nu)
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error stop 'invalid assumption'
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end if
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mu = lattice_isotropic_mu(C,lattice,assumption)
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mu = lattice_isotropic_mu(C,assumption,lattice_)
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nu = (1.5_pReal*K-mu)/(3.0_pReal*K+mu)
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end function lattice_isotropic_nu
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@ -2182,33 +2185,36 @@ end function lattice_isotropic_nu
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!> @details https://doi.org/10.1143/JPSJ.20.635
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!> @details Nonlinear Mechanics of Crystals 10.1007/978-94-007-0350-6, pp 563
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!--------------------------------------------------------------------------------------------------
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pure function lattice_isotropic_mu(C,lattice,assumption) result(mu)
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pure function lattice_isotropic_mu(C,assumption,lattice) result(mu)
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real(pReal), dimension(6,6), intent(in) :: C !< Stiffness tensor (Voigt notation)
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character(len=*), intent(in) :: lattice
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character(len=*), intent(in) :: assumption !< Assumption (isostrain = 'Voigt', isostress = 'Reuss')
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character(len=*), optional, intent(in) :: lattice
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real(pReal) :: mu
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logical :: error
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real(pReal), dimension(6,6) :: S
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logical :: error
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real(pReal), dimension(6,6) :: S
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character(len=:), allocatable :: lattice_
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lattice_ = IO_WHITESPACE
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if (present(lattice)) lattice_ = lattice
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if (IO_lc(assumption) == 'isostrain') then
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select case(lattice)
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select case(lattice_)
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case('cF','cI')
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mu = ( C(1,1) - C(1,2) + C(4,4)*3.0_pReal) / 5.0_pReal
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case default
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mu = ( C(1,1)+C(2,2)+C(3,3) &
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-(C(1,2)+C(2,3)+C(1,3)) &
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- C(1,2)-C(2,3)-C(1,3) &
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+(C(4,4)+C(5,5)+C(6,6)) * 3.0_pReal &
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) / 15.0_pReal
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end select
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elseif (IO_lc(assumption) == 'isostress') then
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select case(lattice)
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select case(lattice_)
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case('cF','cI')
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mu = 1.0_pReal &
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/ (4.0_pReal/(5.0_pReal*(C(1,1)-C(1,2))) + 3.0_pReal/(5.0_pReal*C(4,4)))
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mu = 5.0_pReal &
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/ (4.0_pReal/(C(1,1)-C(1,2)) + 3.0_pReal/C(4,4))
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case default
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call math_invert(S,error,C)
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if (error) error stop 'matrix inversion failed'
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@ -2291,45 +2297,45 @@ subroutine selfTest
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C(6,6) = C(4,4)
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C_cI = lattice_symmetrize_C66(C,'cI')
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if (dNeq(C_cI(4,4),lattice_isotropic_mu(C_cI,'cI','isostrain'),1.0e-12_pReal)) error stop 'isotropic_mu/cI/isostrain'
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if (dNeq(C_cI(4,4),lattice_isotropic_mu(C_cI,'cI','isostress'),1.0e-12_pReal)) error stop 'isotropic_mu/cI/isostress'
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if (dNeq(C_cI(4,4),lattice_isotropic_mu(C_cI,'isostrain','cI'),1.0e-12_pReal)) error stop 'isotropic_mu/isostrain/cI'
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if (dNeq(C_cI(4,4),lattice_isotropic_mu(C_cI,'isostress','cI'),1.0e-12_pReal)) error stop 'isotropic_mu/isostress/cI'
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lambda = C_cI(1,2)
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if (dNeq(lambda*0.5_pReal/(lambda+lattice_isotropic_mu(C_cI,'cI','isostrain')), &
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lattice_isotropic_nu(C_cI,'cI','isostrain'),1.0e-12_pReal)) error stop 'isotropic_nu/cI/isostrain'
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if (dNeq(lambda*0.5_pReal/(lambda+lattice_isotropic_mu(C_cI,'cI','isostress')), &
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lattice_isotropic_nu(C_cI,'cI','isostress'),1.0e-12_pReal)) error stop 'isotropic_nu/cI/isostress'
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if (dNeq(lambda*0.5_pReal/(lambda+lattice_isotropic_mu(C_cI,'isostrain','cI')), &
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lattice_isotropic_nu(C_cI,'isostrain','cI'),1.0e-12_pReal)) error stop 'isotropic_nu/isostrain/cI'
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if (dNeq(lambda*0.5_pReal/(lambda+lattice_isotropic_mu(C_cI,'isostress','cI')), &
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lattice_isotropic_nu(C_cI,'isostress','cI'),1.0e-12_pReal)) error stop 'isotropic_nu/isostress/cI'
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C_hP = lattice_symmetrize_C66(C,'hP')
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if (dNeq(C(4,4),lattice_isotropic_mu(C_hP,'hP','isostrain'),1.0e-12_pReal)) error stop 'isotropic_mu/hP/isostrain'
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if (dNeq(C(4,4),lattice_isotropic_mu(C_hP,'hP','isostress'),1.0e-12_pReal)) error stop 'isotropic_mu/hP/isostress'
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if (dNeq(C(4,4),lattice_isotropic_mu(C_hP,'isostrain','hP'),1.0e-12_pReal)) error stop 'isotropic_mu/isostrain/hP'
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if (dNeq(C(4,4),lattice_isotropic_mu(C_hP,'isostress','hP'),1.0e-12_pReal)) error stop 'isotropic_mu/isostress/hP'
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lambda = C_hP(1,2)
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if (dNeq(lambda*0.5_pReal/(lambda+lattice_isotropic_mu(C_hP,'hP','isostrain')), &
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lattice_isotropic_nu(C_hP,'hP','isostrain'),1.0e-12_pReal)) error stop 'isotropic_nu/hP/isostrain'
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if (dNeq(lambda*0.5_pReal/(lambda+lattice_isotropic_mu(C_hP,'hP','isostress')), &
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lattice_isotropic_nu(C_hP,'hP','isostress'),1.0e-12_pReal)) error stop 'isotropic_nu/hP/isostress'
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if (dNeq(lambda*0.5_pReal/(lambda+lattice_isotropic_mu(C_hP,'isostrain','hP')), &
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lattice_isotropic_nu(C_hP,'isostrain','hP'),1.0e-12_pReal)) error stop 'isotropic_nu/isostrain/hP'
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if (dNeq(lambda*0.5_pReal/(lambda+lattice_isotropic_mu(C_hP,'isostress','hP')), &
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lattice_isotropic_nu(C_hP,'isostress','hP'),1.0e-12_pReal)) error stop 'isotropic_nu/isostress/hP'
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C_tI = lattice_symmetrize_C66(C,'tI')
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if (dNeq(C(6,6),lattice_isotropic_mu(C_tI,'tI','isostrain'),1.0e-12_pReal)) error stop 'isotropic_mu/tI/isostrain'
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if (dNeq(C(6,6),lattice_isotropic_mu(C_tI,'tI','isostress'),1.0e-12_pReal)) error stop 'isotropic_mu/tI/isostress'
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if (dNeq(C(6,6),lattice_isotropic_mu(C_tI,'isostrain','tI'),1.0e-12_pReal)) error stop 'isotropic_mu/isostrain/tI'
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if (dNeq(C(6,6),lattice_isotropic_mu(C_tI,'isostress','tI'),1.0e-12_pReal)) error stop 'isotropic_mu/isostress/tI'
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lambda = C_tI(1,2)
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if (dNeq(lambda*0.5_pReal/(lambda+lattice_isotropic_mu(C_tI,'tI','isostrain')), &
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lattice_isotropic_nu(C_tI,'tI','isostrain'),1.0e-12_pReal)) error stop 'isotropic_nu/tI/isostrain'
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if (dNeq(lambda*0.5_pReal/(lambda+lattice_isotropic_mu(C_tI,'tI','isostress')), &
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lattice_isotropic_nu(C_tI,'tI','isostress'),1.0e-12_pReal)) error stop 'isotropic_nu/tI/isostress'
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if (dNeq(lambda*0.5_pReal/(lambda+lattice_isotropic_mu(C_tI,'isostrain','tI')), &
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lattice_isotropic_nu(C_tI,'isostrain','tI'),1.0e-12_pReal)) error stop 'isotropic_nu/isostrain/tI'
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if (dNeq(lambda*0.5_pReal/(lambda+lattice_isotropic_mu(C_tI,'isostress','tI')), &
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lattice_isotropic_nu(C_tI,'isostress','tI'),1.0e-12_pReal)) error stop 'isotropic_nu/isostress/tI'
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call random_number(C)
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C = lattice_symmetrize_C66(C,'cI')
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if (dNeq(lattice_isotropic_mu(C,'cI','isostrain'), lattice_isotropic_mu(C,'hP','isostrain'), 1.0e-9_pReal)) &
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if (dNeq(lattice_isotropic_mu(C,'isostrain','cI'), lattice_isotropic_mu(C,'isostrain','hP'), 1.0e-9_pReal)) &
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error stop 'isotropic_mu/isostrain/cI-hP'
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if (dNeq(lattice_isotropic_nu(C,'cF','isostrain'), lattice_isotropic_nu(C,'tI','isostrain'), 1.0e-9_pReal)) &
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if (dNeq(lattice_isotropic_nu(C,'isostrain','cF'), lattice_isotropic_nu(C,'isostrain','cI'), 1.0e-9_pReal)) &
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error stop 'isotropic_nu/isostrain/cF-tI'
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if (dNeq(lattice_isotropic_mu(C,'cI','isostress'), lattice_isotropic_mu(C,'hP','isostress'), 1.0e-9_pReal)) &
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if (dNeq(lattice_isotropic_mu(C,'isostress','cI'), lattice_isotropic_mu(C,'isostress'), 1.0e-9_pReal)) &
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error stop 'isotropic_mu/isostress/cI-hP'
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if (dNeq(lattice_isotropic_nu(C,'cF','isostress'), lattice_isotropic_nu(C,'tI','isostress'), 1.0e-9_pReal)) &
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if (dNeq(lattice_isotropic_nu(C,'isostress','cF'), lattice_isotropic_nu(C,'isostress'), 1.0e-9_pReal)) &
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error stop 'isotropic_nu/isostress/cF-tI'
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end subroutine selfTest
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@ -347,7 +347,6 @@ module phase
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phase_K_T, &
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phase_mu_phi, &
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phase_mu_T, &
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phase_lattice_structure, &
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phase_results, &
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phase_allocateState, &
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phase_forward, &
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@ -435,20 +434,6 @@ subroutine phase_init
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end subroutine phase_init
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!--------------------------------------------------------------------------------------------------
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!> @brief Get lattice structure for a given phase
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!--------------------------------------------------------------------------------------------------
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function phase_lattice_structure(co,ce) result(lattice)
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integer, intent(in) :: co, ce
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character(len=:), allocatable :: lattice
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lattice = phase_lattice(material_phaseID(co,ce))
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end function phase_lattice_structure
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!--------------------------------------------------------------------------------------------------
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!> @brief Allocate the components of the state structure for a given phase
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!--------------------------------------------------------------------------------------------------
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@ -113,7 +113,7 @@ pure module function elastic_mu(ph,en,isotropic_bound) result(mu)
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associate(prm => param(ph))
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mu = lattice_isotropic_mu(elastic_C66(ph,en),phase_lattice(ph),isotropic_bound)
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mu = lattice_isotropic_mu(elastic_C66(ph,en),isotropic_bound,phase_lattice(ph))
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end associate
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@ -134,7 +134,7 @@ pure module function elastic_nu(ph,en,isotropic_bound) result(nu)
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associate(prm => param(ph))
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nu = lattice_isotropic_nu(elastic_C66(ph,en),phase_lattice(ph),isotropic_bound)
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nu = lattice_isotropic_nu(elastic_C66(ph,en),isotropic_bound,phase_lattice(ph))
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end associate
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