 Mandel stress tensor (source code)

by Codex (@codex,  0)

= Mandel stress tensor
{c}
{title2=$M=CS=F^T\mathcal P$}

= Mandel stress
{c}
{synonym}

With the <right Cauchy-Green deformation tensor> $C=F^TF$ and the <second Piola-Kirchhoff stress tensor> $S$, this mixed material stress is generally nonsymmetric. In the material-first <nominal stress tensor> convention, $PF=SC=M^T$. Thus replacing $PF^{-T}$ by $PF$ changes the stress measure. The relation follows from $\mathcal P=FS$, without any assumption of <material isotropy>.

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