Second Piola-Kirchhoff stress tensor (source code)

= Second Piola-Kirchhoff stress tensor
{title2=$S=JF^{-1}\sigma F^{-T}=PF^{-T}$}

The second tensor has two material indices and is symmetric when the <Cauchy stress tensor> is symmetric. The displayed relation uses the material-first <nominal stress tensor> convention. In particular, $PF$ is generally not this tensor. These conventions agree with https://solidmechanics.org/Text/Chapter2_3/Chapter2_3.htm[A. F. Bower's definitions of stress measures].