cratepy.ioput.miscoutputfiles.voxelsoutput.cauchy_from_first_piola

cauchy_from_first_piola(def_gradient, first_piola_stress)

Cauchy stress tensor from first Piola-Kirchhoff stress tensor.

$$\mathit{\sigma }=\frac{1}{det(\mathit{F})}\mathit{P}{\mathit{F}}^T$$

where $\mathit{\sigma }$ is the Cauchy stress tensor, $\mathit{F}$ is the deformation gradient, and $\mathit{P}$ is the first Piola-Kirchhoff stress tensor.

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Parameters:

• def_gradient (numpy.ndarray (2d)) – Deformation gradient.

• first_piola_stress (numpy.ndarray (2d)) – First Piola-Kirchhoff stress tensor.

Returns:

cauchy_stress – Cauchy stress tensor.

Return type:

numpy.ndarray (2d)