Module: `tens`¶

4 Classes¶

class hexrd.tens.T2Symm(args)[source]¶

template for symmetric second order tensor components

class hexrd.tens.T2Vecds(vecds)[source]¶

Bases: hexrd.tens.T2Symm

class hexrd.tens.T2Svec(val)[source]¶

Bases: hexrd.tens.T2Symm

class hexrd.tens.T2SvecP(svecp)[source]¶

Bases: hexrd.tens.T2Symm

hexrd.tens.vecdvToVecds(vecdv)[source]¶: convert from [t1,...,t5,v] to vecds[:] representation, where v is the relative volume

hexrd.tens.vecdsToSymm(vecds)[source]¶: convert from vecds representation to symmetry matrix

hexrd.tens.symmToVecds(A)[source]¶: convert from symmetry matrix to vecds representation

hexrd.tens.symmToMVvec(A)[source]¶: convert from symmetric matrix to Mandel-Voigt vector representation (JVB)

hexrd.tens.MVvecToSymm(A)[source]¶: convert from Mandel-Voigt vector to symmetric matrix representation (JVB)

hexrd.tens.MVCOBMatrix(R)[source]¶

GenerateS array of 6 x 6 basis transformation matrices for the Mandel-Voigt tensor representation in 3-D given by:

{A} = [A_11, A_22, A_33, sqrt(2)*A_23, sqrt(2)*A_13, sqrt(2)*A_12]

where the operation R * A *R.T (in tensor notation) is obtained by the matrix-vector product [T]*{A}.

USAGE

T = MVCOBMatrix(R)

INPUTS

R is (3, 3) an ndarray representing a change of basis matrix

OUTPUTS

T is (6, 6), an ndarray of transformation matrices as described above

NOTES

Compoments of symmetric 4th-rank tensors transform in a manner analogous to symmetric 2nd-rank tensors in full matrix notation.