Elasticipy.StressStrainTensors module

class Elasticipy.StressStrainTensors.StrainTensor(mat)[source]

Class for manipulating symmetric strain tensors or arrays of symmetric strain tensors.

elastic_energy(stress)[source]

Compute the elastic energy.

principalStrains()[source]

Values of the principals strains.

If the tensor array is of shape [m,n,…], the results will be of shape [m,n,…,3].

voigt_map = [1, 1, 1, 2, 2, 2]: List of factors to use for building a tensor from Voigt vector(s)

volumetricStrain()[source]

Volumetric change (1st invariant of the strain tensor)

class Elasticipy.StressStrainTensors.StressTensor(mat)[source]

Class for manipulating stress tensors or arrays of stress tensors.

property J1

First invariant of the deviatoric part of the stress tensor. It is always zeros, as the deviatoric part as null trace.

property J2

Second invariant of the deviatoric part of the stress tensor.

property J3

Third invariant of the deviatoric part of the stress tensor.

Tresca(-Guest) equivalent stress.