Nonlinear finite elements/Homework 6/Solutions/Problem 1/Part 11
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Problem 1: Part 11[edit | edit source]
Compute the rate of deformation at the blue point.
The rate of deformation is given by
![{\displaystyle {\boldsymbol {D}}={\frac {1}{2}}[{\boldsymbol {\nabla }}\mathbf {v} +({\boldsymbol {\nabla }}\mathbf {v} )^{T}]~.}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7497036ca35bfe57c79750ca67a78956012c5965)
Using the velocity gradient from the previous question, the rate of deformation at the blue point is given by
The Maple code is given below.
> #
> # Compute rate of deformation
> #
> GradVT := transpose(GradV);
> DefRate := evalm(1/2*(GradV + GradVT));