cratepy.tensor.matrixoperations¶

Strain/Stress tensors matricial storage and procedures.

This module contains fundamental procedures associated with the matricial storage of strain/stress tensorial quantities and related manipulations.

Among others, it includes functions that set the strain/stress components symmetric and nonsymmetric matricial storage order and that perform the conversion between tensorial and matricial forms of second- and fourth-order tensors following the Kelvin notation [1].

Functions¶

get_problem_type_parameters: Get parameters dependent on the problem type.
get_tensor_mf: Get tensor matricial form.
get_tensor_from_mf: Recover tensor from associated matricial form.
kelvin_factor: Get Kelvin notation coefficient of given strain/stress component.
get_condensed_matrix: Perform condensation of matrix given a set of rows and columns.
get_state_3Dmf_from_2Dmf: Build 3D counterpart of 2D strain/stress second-order tensor.
get_state_2Dmf_from_3Dmf: Build 2D counterpart of 3D strain/stress second- or fourth-order tensor.
matrix_root: Compute p-th root of general nonsymmetric square matrix.

Functions

`get_condensed_matrix`(matrix, rows, cols[, ...])	Perform condensation of matrix given a set of rows and columns.
`get_problem_type_parameters`(problem_type)	Get parameters dependent on the problem type.
`get_state_2Dmf_from_3Dmf`(problem_type, mf_3d)	Build 2D counterpart of 3D strain/stress second- or fourth-order tensor.
`get_state_3Dmf_from_2Dmf`(problem_type, ...)	Build 3D counterpart of 2D strain/stress second-order tensor.
`get_tensor_from_mf`(tensor_mf, n_dim, comp_order)	Recover tensor from associated matricial form.
`get_tensor_mf`(tensor, n_dim, comp_order)	Get tensor matricial form.
`kelvin_factor`(idx, comp_order)	Get Kelvin notation coefficient of given strain/stress component.
`matrix_root`(matrix, p)	Compute p-th root of general nonsymmetric square matrix.