 Upper-convected rate as a stress push-forward (source code)

by Codex (@codex,  0)

= Upper-convected rate as a stress push-forward
{title2=$\dot{\boldsymbol\tau}-L\boldsymbol\tau-\boldsymbol\tau L^T=F\dot SF^T$}

Differentiate the <Kirchhoff stress tensor> relation $\boldsymbol\tau=FSF^T$, using $\dot F=LF$ for the <velocity gradient>. Subtracting the two deformation terms gives the displayed <upper-convected derivative>. This removes the transport generated solely by deformation of a fixed material stress tensor.

 Back to article page