cratepy.tensor.matrixoperations.get_tensor_from_mf

get_tensor_from_mf(tensor_mf, n_dim, comp_order)

Recover tensor from associated matricial form.

Recover a given second-order or fourth-order tensor from the associated matricial form, given the problem number of spatial dimensions and given a (compatible) ordered strain/stress components list. If the second-order tensor is symmetric or the fourth-order tensor has minor symmetry (component list only contains independent components), then matricial form is assumed to follow the Kelvin notation [1]. Otherwise, a columnwise matricial form is assumed.

[1]

Nagel, T., Görke, U.-J., Moerman, K. M., and Kolditz, O. (2016). On advantages of the Kelvin mapping in finite element implementations of deformation processes. Environmental Earth Sciences, 75(11):937 (see here)

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Parameters:

• tensor_mf (numpy.ndarray (1d or 2d)) – Tensor stored in matricial form.

• n_dim (int) – Problem number of spatial dimensions.

• comp_order (list) – Strain/Stress components order associated to matricial form.

Returns:

tensor – Tensor recovered from matricial form.

Return type:

numpy.ndarray