The reciprocating motion is behaving as expected now. We had a slight complication because it turned out the experiments are being run at 8Hz, so after some adjustment we got the model to run. The GIF below shows the motion we've been looking for. Also shown are isothermal contour and temperature distribution GIFs, shown in the order listed.
We've also had success with the flash model. Below shows the temperature distribution comparison of constant versus variable thermal properties. The comparison is shown at different depths in the solid to illustrate the temperature gradient through the thickness of the specimen. Also shown is the maximum surface temperature versus time.
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