indicate that this mapping should be used only for C
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src/math.f90
38
src/math.f90
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@ -883,7 +883,7 @@ end function math_Voigt6to33_strain
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!--------------------------------------------------------------------------------------------------
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!> @brief Convert 3x3 tensor into 6 Voigt stress vector.
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!> @brief Convert 3x3 stress tensor into 6 Voigt vector.
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!--------------------------------------------------------------------------------------------------
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pure function math_33toVoigt6_stress(sigma) result(sigma_tilde)
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@ -898,7 +898,7 @@ end function math_33toVoigt6_stress
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!--------------------------------------------------------------------------------------------------
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!> @brief Convert 3x3 tensor into 6 Voigt strain vector.
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!> @brief Convert 3x3 stress tensor into 6 Voigt vector.
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!--------------------------------------------------------------------------------------------------
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pure function math_33toVoigt6_strain(epsilon) result(epsilon_tilde)
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@ -914,48 +914,48 @@ end function math_33toVoigt6_strain
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!--------------------------------------------------------------------------------------------------
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!> @brief Convert 6x6 Voigt matrix into symmetric 3x3x3x3 matrix.
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!> @brief Convert 6x6 Voigt stiffness matrix into symmetric 3x3x3x3 tensor.
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!--------------------------------------------------------------------------------------------------
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pure function math_Voigt66to3333(m66)
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pure function math_Voigt66to3333_stiffness(C_tilde) result(C)
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real(pReal), dimension(3,3,3,3) :: math_Voigt66to3333
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real(pReal), dimension(6,6), intent(in) :: m66 !< 6x6 matrix
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real(pReal), dimension(3,3,3,3) :: C
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real(pReal), dimension(6,6), intent(in) :: C_tilde
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integer :: i,j
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do i=1,6; do j=1,6
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math_Voigt66to3333(MAPVOIGT(1,i),MAPVOIGT(2,i),MAPVOIGT(1,j),MAPVOIGT(2,j)) = m66(i,j)
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math_Voigt66to3333(MAPVOIGT(2,i),MAPVOIGT(1,i),MAPVOIGT(1,j),MAPVOIGT(2,j)) = m66(i,j)
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math_Voigt66to3333(MAPVOIGT(1,i),MAPVOIGT(2,i),MAPVOIGT(2,j),MAPVOIGT(1,j)) = m66(i,j)
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math_Voigt66to3333(MAPVOIGT(2,i),MAPVOIGT(1,i),MAPVOIGT(2,j),MAPVOIGT(1,j)) = m66(i,j)
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C(MAPVOIGT(1,i),MAPVOIGT(2,i),MAPVOIGT(1,j),MAPVOIGT(2,j)) = C_tilde(i,j)
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C(MAPVOIGT(2,i),MAPVOIGT(1,i),MAPVOIGT(1,j),MAPVOIGT(2,j)) = C_tilde(i,j)
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C(MAPVOIGT(1,i),MAPVOIGT(2,i),MAPVOIGT(2,j),MAPVOIGT(1,j)) = C_tilde(i,j)
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C(MAPVOIGT(2,i),MAPVOIGT(1,i),MAPVOIGT(2,j),MAPVOIGT(1,j)) = C_tilde(i,j)
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end do; end do
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end function math_Voigt66to3333
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end function math_Voigt66to3333_stiffness
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!--------------------------------------------------------------------------------------------------
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!> @brief Convert symmetric 3x3x3x3 matrix into 6x6 Voigt matrix.
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!> @brief Convert 3x3x3x3 stiffness tensor into 6x6 Voigt matrix.
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!--------------------------------------------------------------------------------------------------
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pure function math_3333toVoigt66(m3333)
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pure function math_3333toVoigt66_stiffness(C) result(C_tilde)
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real(pReal), dimension(6,6) :: math_3333toVoigt66
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real(pReal), dimension(3,3,3,3), intent(in) :: m3333 !< symmetric 3x3x3x3 matrix (no internal check)
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real(pReal), dimension(6,6) :: C_tilde
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real(pReal), dimension(3,3,3,3), intent(in) :: C
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integer :: i,j
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#ifndef __INTEL_COMPILER
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do concurrent(i=1:6, j=1:6)
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math_3333toVoigt66(i,j) = m3333(MAPVOIGT(1,i),MAPVOIGT(2,i),MAPVOIGT(1,j),MAPVOIGT(2,j))
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C_tilde(i,j) = C(MAPVOIGT(1,i),MAPVOIGT(2,i),MAPVOIGT(1,j),MAPVOIGT(2,j))
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end do
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#else
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do i=1,6; do j=1,6
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math_3333toVoigt66(i,j) = m3333(MAPVOIGT(1,i),MAPVOIGT(2,i),MAPVOIGT(1,j),MAPVOIGT(2,j))
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C_tilde(i,j) = C(MAPVOIGT(1,i),MAPVOIGT(2,i),MAPVOIGT(1,j),MAPVOIGT(2,j))
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end do; end do
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#endif
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end function math_3333toVoigt66
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end function math_3333toVoigt66_stiffness
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!--------------------------------------------------------------------------------------------------
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@ -1344,7 +1344,7 @@ subroutine selfTest
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if (any(dNeq(math_sym3333to66(math_66toSym3333(t66)),t66,1.0e-15_pReal))) &
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error stop 'math_sym3333to66/math_66toSym3333'
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if (any(dNeq(math_3333toVoigt66(math_Voigt66to3333(t66)),t66,1.0e-15_pReal))) &
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if (any(dNeq(math_3333toVoigt66_stiffness(math_Voigt66to3333_stiffness(t66)),t66,1.0e-15_pReal))) &
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error stop 'math_3333toVoigt66/math_Voigt66to3333'
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call random_number(v6)
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@ -200,7 +200,7 @@ module subroutine phase_hooke_SandItsTangents(S, dS_dFe, dS_dFi, &
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C66 = phase_damage_C66(phase_homogenizedC66(ph,en),ph,en)
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C = math_Voigt66to3333(C66)
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C = math_Voigt66to3333_stiffness(C66)
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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_Voigt6to33_stress(matmul(C66,math_33toVoigt6_strain(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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@ -1503,7 +1503,8 @@ subroutine selfTest()
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call random_number(C)
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C = C+transpose(C)
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if (any(dNeq(R%rotStiffness(C),math_3333toVoigt66(R%rotate(math_Voigt66to3333(C))),1.0e-12_pReal))) &
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if (any(dNeq(R%rotStiffness(C), &
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math_3333toVoigt66_stiffness(R%rotate(math_Voigt66to3333_stiffness(C))),1.0e-12_pReal))) &
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error stop 'rotStiffness'
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call R%fromQuaternion(qu * (1.0_pReal + merge(+5.e-9_pReal,-5.e-9_pReal, mod(i,2) == 0))) ! allow reasonable tolerance for ASCII/YAML
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