Nonlinear finite elements/Homework 6/Solutions/Problem 1/Part 11

Problem 1: Part 11

The rate of deformation is given by

$𝑫=\frac{1}{2}[\mathrm{\nabla }𝐯+(\mathrm{\nabla }𝐯{)}^T].$

Using the velocity gradient from the previous question, the rate of deformation at the blue point is given by

$𝐃=\left[\begin{array}{cc}0.74184& -1.2418\\ -1.2418& 1.7418\end{array}\right]$

The Maple code is given below.

> #
> # Compute rate of deformation
> #
> GradVT := transpose(GradV);
> DefRate := evalm(1/2*(GradV + GradVT));