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Example 12: Contact frictional heat generation.

A rectangular piece of material (size 1 by 1; Young's modulus $1$) is rubbed against a solid wall. In this example, we will analyze the stresses and temperature profile caused by frictional heat generation. The free edges of the material are prescribed to have temperature 0.

\begin{figure}\centerline{\epsfig{file=ps/ex12dra.ps,width=4.5cm,angle=-90}}\end{figure}

The deformed mesh (with 16 quadratic elements) at time $1$ looks like:

\begin{figure}\centerline{\epsfig{file=ps/ex12mes.ps,width=5cm}}\end{figure}

Initially the right edge of the material did penetrate the solid wall over a distance $0.01$, but the contact algorithm did eliminate this penetration. This resulted in a normal stress -sigxx of about size $-0.01$. The normal stress causes a frictional stress -sigxy of about size $-0.0001$ at the interface between material and solid wall, due to a friction coefficient of $0.01$:

\begin{figure}\centerline{\epsfig{file=ps/ex12sxy.ps,width=8cm}}\end{figure}

This frictional stress, in turn, causes frictional heat generation. The stationary temperature profile is plotted below:

\begin{figure}\centerline{\epsfig{file=ps/ex12tem.ps,width=8cm}}\end{figure}

next up previous contents
Next: Example 13: Automatically embedded Up: Examples Previous: Example 11: Propagation of   Contents
tochnog 2001-09-02