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

Problem 1: Part 11

Compute the rate of deformation at the blue point.

The rate of deformation is given by

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

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

$\mathbf{D} = \begin{bmatrix} 0.74184 & -1.2418 \\ -1.2418&1.7418 \end{bmatrix}$

The Maple code is given below.

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