cratepy.tensor.tensoroperations.diso_scalars

diso_scalars(abc, eigenvalues, fun, fund)

Auxiliar scalars of derivative of isotropic tensor-valued function.

The auxilar scalars to compute the derivative of an isotropic tensor-valued function of a symmetric tensor are defined in Equation (A.47) of Computational Methods for Plasticity [1].

[1]

de Souza Neto, E. A., Peri, D., and Owen, D. R. J. (2008). Computational Methods for Plasticity. John Wiley & Sons, Ltd, Chichester, UK (see here)

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Parameters:

• abc ({'012', '210', '102', '021', '102', '120', '201'}) – Triplet containing the eigenvalues evaluation order. The first and last are assumed to be the distinct eigenvalues.

• eigenvals (numpy.ndarray (1d)) – Eigenvalues of second-order tensor sorted in descending order.

• fun (function) – Scalar function with single argument associated to the symmetric tensor-valued function.

• fund (function) – Derivative of scalar function with single argument associated to the symmetric tensor-valued function.

Returns:

s – List of convenient scalars (float).

Return type:

list