cratepy.tensor.tensoroperations.isotropic_tensor

isotropic_tensor(mode, x)[source]

Isotropic symmetric tensor-valued function of symmetric tensor.

The computational implementation to compute the isotropic symmetric tensor-valued function of a symmetric tensor follows the Appendix A of Computational Methods for Plasticity [1].


Parameters:
  • mode ({'log', 'exp'}) – Scalar function with single argument associated to the symmetric tensor-valued function (particular classe of isotropic tensor-valued functions).

  • x (numpy.ndarray (2d)) – Second-order tensor at which isotropic tensor-valued function is evaluated.

Returns:

y – Isotropic symmetric tensor-valued function evaluated at x.

Return type:

numpy.ndarray (2d)