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Computational Techniques and Applications Conference and Workshops - CTAC99
September 20-24, 1999
The Australian National University
Canberra, ACT, Australia

Organizers
Mike Osborne, Bob Gingold, Steve Roberts, David Harrar II, Thanh Tran, Bob Anderssen, Henry Gardner, Markus Hegland, Lutz Grosz

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Numerical modelling of thermoelastic processes using nonlinear theories with thermal relaxation time.
by
R.V.N. Melnik
CSIRO Mathematical and Information Sciences, North Ryde
Coauthors: D.V. Strunin (University of Southern Queensland), A.J. Roberts (University of Southern Queensland)

A nonlinear model of thermoelasticity is solved for a ring-shaped body with special attention given to the effect of relaxation time on the body dynamics. A spectral Galerkin method is used to accurately resolve spatial structures of temperature and displacement. A sequence of solutions is obtained for gradually increasing initial amplitude of the thermoelastic wave, showing a transition from a steady harmonic wave to singular solutions. Larger values of the relaxation time are shown to result in smoother temperature profiles. The dynamics generated by a localized heat release from an external source is studied. A regime is observed in which the source excites a standing wave of the displacement while the temperature monotonically decays.

Date received: July 28, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadk-63.