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));

Nonlinear finite elements/Homework 6/Solutions/Problem 1