following numpy syntax
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Martin Diehl
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121bafd989
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@ -1920,7 +1920,7 @@ function lattice_SchmidMatrix_slip(Nslip,structure,cOverA) result(SchmidMatrix)
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IO_error
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use math, only: &
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math_trace33, &
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math_tensorproduct33
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math_outer
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implicit none
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integer(pInt), dimension(:), intent(in) :: Nslip !< number of active slip systems per family
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@ -1961,7 +1961,7 @@ function lattice_SchmidMatrix_slip(Nslip,structure,cOverA) result(SchmidMatrix)
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coordinateSystem = buildCoordinateSystem(Nslip,NslipMax,slipSystems,structure,cOverA)
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do i = 1, sum(Nslip)
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SchmidMatrix(1:3,1:3,i) = math_tensorproduct33(coordinateSystem(1:3,1,i),coordinateSystem(1:3,2,i))
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SchmidMatrix(1:3,1:3,i) = math_outer(coordinateSystem(1:3,1,i),coordinateSystem(1:3,2,i))
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if (abs(math_trace33(SchmidMatrix(1:3,1:3,i))) > tol_math_check) &
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call IO_error(0_pInt,i,ext_msg = 'dilatational Schmid matrix for slip')
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enddo
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@ -1980,7 +1980,7 @@ function lattice_SchmidMatrix_twin(Ntwin,structure,cOverA) result(SchmidMatrix)
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IO_error
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use math, only: &
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math_trace33, &
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math_tensorproduct33
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math_outer
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implicit none
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integer(pInt), dimension(:), intent(in) :: Ntwin !< number of active twin systems per family
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@ -2018,7 +2018,7 @@ function lattice_SchmidMatrix_twin(Ntwin,structure,cOverA) result(SchmidMatrix)
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coordinateSystem = buildCoordinateSystem(Ntwin,NtwinMax,twinSystems,structure,cOverA)
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do i = 1, sum(Ntwin)
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SchmidMatrix(1:3,1:3,i) = math_tensorproduct33(coordinateSystem(1:3,1,i),coordinateSystem(1:3,2,i))
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SchmidMatrix(1:3,1:3,i) = math_outer(coordinateSystem(1:3,1,i),coordinateSystem(1:3,2,i))
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if (abs(math_trace33(SchmidMatrix(1:3,1:3,i))) > tol_math_check) &
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call IO_error(0_pInt,i,ext_msg = 'dilatational Schmid matrix for twin')
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enddo
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@ -2031,13 +2031,8 @@ end function lattice_SchmidMatrix_twin
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!> details only active twin systems are considered
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!--------------------------------------------------------------------------------------------------
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function lattice_SchmidMatrix_trans(Ntrans,structure_target,cOverA,a_bcc,a_fcc) result(SchmidMatrix)
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use prec, only: &
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tol_math_check
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use IO, only: &
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IO_error
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use math, only: &
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math_trace33, &
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math_tensorproduct33
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implicit none
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integer(pInt), dimension(:), intent(in) :: Ntrans !< number of active twin systems per family
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@ -2068,7 +2063,7 @@ function lattice_SchmidMatrix_trans(Ntrans,structure_target,cOverA,a_bcc,a_fcc)
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!--------------------------------------------------------------------------------------------------
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function lattice_SchmidMatrix_cleavage(Ncleavage,structure,cOverA) result(SchmidMatrix)
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use math, only: &
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math_tensorproduct33
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math_outer
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use IO, only: &
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IO_error
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@ -2114,9 +2109,9 @@ function lattice_SchmidMatrix_cleavage(Ncleavage,structure,cOverA) result(Schmid
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coordinateSystem = buildCoordinateSystem(Ncleavage,NcleavageMax,cleavageSystems,structure,cOverA)
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do i = 1, sum(Ncleavage)
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SchmidMatrix(1:3,1:3,1,i) = math_tensorproduct33(coordinateSystem(1:3,1,i),coordinateSystem(1:3,2,i))
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SchmidMatrix(1:3,1:3,2,i) = math_tensorproduct33(coordinateSystem(1:3,3,i),coordinateSystem(1:3,2,i))
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SchmidMatrix(1:3,1:3,3,i) = math_tensorproduct33(coordinateSystem(1:3,2,i),coordinateSystem(1:3,2,i))
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SchmidMatrix(1:3,1:3,1,i) = math_outer(coordinateSystem(1:3,1,i),coordinateSystem(1:3,2,i))
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SchmidMatrix(1:3,1:3,2,i) = math_outer(coordinateSystem(1:3,3,i),coordinateSystem(1:3,2,i))
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SchmidMatrix(1:3,1:3,3,i) = math_outer(coordinateSystem(1:3,2,i),coordinateSystem(1:3,2,i))
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enddo
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end function lattice_SchmidMatrix_cleavage
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@ -2186,7 +2181,7 @@ end function lattice_slip_transverse
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!--------------------------------------------------------------------------------------------------
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function slipProjection_transverse(Nslip,structure,cOverA) result(projection)
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use math, only: &
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math_mul3x3
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math_inner
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implicit none
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integer(pInt), dimension(:), intent(in) :: Nslip !< number of active slip systems per family
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@ -2200,7 +2195,7 @@ function slipProjection_transverse(Nslip,structure,cOverA) result(projection)
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coordinateSystem = coordinateSystem_slip(Nslip,structure,cOverA)
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do i=1_pInt, sum(Nslip); do j=1_pInt, sum(Nslip)
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projection(i,j) = abs(math_mul3x3(coordinateSystem(1:3,2,i),coordinateSystem(1:3,3,j)))
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projection(i,j) = abs(math_inner(coordinateSystem(1:3,2,i),coordinateSystem(1:3,3,j)))
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enddo; enddo
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end function slipProjection_transverse
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@ -2212,7 +2207,7 @@ end function slipProjection_transverse
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!--------------------------------------------------------------------------------------------------
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function slipProjection_direction(Nslip,structure,cOverA) result(projection)
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use math, only: &
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math_mul3x3
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math_inner
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implicit none
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integer(pInt), dimension(:), intent(in) :: Nslip !< number of active slip systems per family
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@ -2226,7 +2221,7 @@ function slipProjection_direction(Nslip,structure,cOverA) result(projection)
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coordinateSystem = coordinateSystem_slip(Nslip,structure,cOverA)
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do i=1_pInt, sum(Nslip); do j=1_pInt, sum(Nslip)
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projection(i,j) = abs(math_mul3x3(coordinateSystem(1:3,2,i),coordinateSystem(1:3,1,j)))
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projection(i,j) = abs(math_inner(coordinateSystem(1:3,2,i),coordinateSystem(1:3,1,j)))
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enddo; enddo
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end function slipProjection_direction
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@ -2237,8 +2232,6 @@ end function slipProjection_direction
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!> @details Order: Direction, plane (normal), and common perpendicular
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!--------------------------------------------------------------------------------------------------
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function coordinateSystem_slip(Nslip,structure,cOverA) result(coordinateSystem)
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use math, only: &
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math_mul3x3
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use IO, only: &
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IO_error
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@ -2404,7 +2397,7 @@ subroutine buildTransformationSystem(Q,S,Ntrans,cOverA,a_fcc,a_bcc)
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dEq0
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use math, only: &
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math_cross, &
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math_tensorproduct33, &
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math_outer, &
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math_mul33x33, &
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math_mul33x3, &
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math_axisAngleToR, &
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@ -2508,9 +2501,9 @@ subroutine buildTransformationSystem(Q,S,Ntrans,cOverA,a_fcc,a_bcc)
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y = real(LATTICE_fccTobcc_bainVariant(4:6,i),pReal)
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z = real(LATTICE_fccTobcc_bainVariant(7:9,i),pReal)
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U = (a_bcc/a_fcc)*math_tensorproduct33(x,x) &
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+ (a_bcc/a_fcc)*math_tensorproduct33(y,y) * sqrt(2.0_pReal) &
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+ (a_bcc/a_fcc)*math_tensorproduct33(z,z) * sqrt(2.0_pReal)
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U = (a_bcc/a_fcc)*math_outer(x,x) &
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+ (a_bcc/a_fcc)*math_outer(y,y) * sqrt(2.0_pReal) &
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+ (a_bcc/a_fcc)*math_outer(z,z) * sqrt(2.0_pReal)
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Q(1:3,1:3,i) = math_mul33x33(R,B)
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S(1:3,1:3,i) = math_mul33x33(R,U) - MATH_I3
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enddo
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@ -72,19 +72,11 @@ module math
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interface math_crossproduct
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module procedure math_cross
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end interface math_crossproduct
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interface math_tensorproduct
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module procedure math_outer
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end interface math_tensorproduct
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interface math_tensorproduct33
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module procedure math_outer
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end interface math_tensorproduct33
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interface math_mul3x3
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module procedure math_inner
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end interface math_mul3x3
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public :: &
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math_mul3x3, &
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math_tensorproduct33, &
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math_tensorproduct, &
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math_crossproduct
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!---------------------------------------------------------------------------------------------------
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@ -674,7 +674,7 @@ subroutine plastic_dislotwin_LpAndItsTangent(Lp,dLp_dMp,Mp,Temperature,instance,
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dNeq0
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use math, only: &
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math_eigenValuesVectorsSym, &
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math_tensorproduct33, &
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math_outer, &
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math_symmetric33, &
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math_mul33xx33, &
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math_mul33x3
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@ -748,8 +748,8 @@ subroutine plastic_dislotwin_LpAndItsTangent(Lp,dLp_dMp,Mp,Temperature,instance,
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call math_eigenValuesVectorsSym(Mp,eigValues,eigVectors,error)
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do i = 1_pInt,6_pInt
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Schmid_shearBand = 0.5_pReal * math_tensorproduct33(math_mul33x3(eigVectors,sb_sComposition(1:3,i)),&
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math_mul33x3(eigVectors,sb_mComposition(1:3,i)))
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Schmid_shearBand = 0.5_pReal * math_outer(math_mul33x3(eigVectors,sb_sComposition(1:3,i)),&
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math_mul33x3(eigVectors,sb_mComposition(1:3,i)))
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tau = math_mul33xx33(Mp,Schmid_shearBand)
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significantShearBandStress: if (abs(tau) > tol_math_check) then
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