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TECHNICAL PAPERS

The Cosserat Spectrum Theory in Thermoelasticity and Application to the Problem of Heat Flow Past a Rigid Spherical Inclusion

[+] Author and Article Information
Wensen Liu

Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093 and College of Engineering, San Diego State University, San Diego, CA 92182

X. Markenscoff

Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093

M. Paukshto

Marine Technology University, Saint Petersburg, Russia

J. Appl. Mech 65(3), 614-618 (Sep 01, 1998) (5 pages) doi:10.1115/1.2789102 History: Revised January 12, 1998; Received September 23, 1998; Online October 25, 2007

Abstract

We apply the Cosserat Spectrum theory to boundary value problems in thermoelasticity and show the advantages of this method. The thermoelastic displacement field caused by a general heat flow around a spherical rigid inclusion is calculatedand the results show that the discrete Cosserat eigenfunctions converge fast and thus provide a practical method for solving three-dimensional problems in thermoelasticity. In the case of uniform heat flow, the solution is obtained analytically in closed form and a variational principle within the frame of the Cosserat Spectrum theory shows that the solution maximizes the elastic energy.

Copyright © 1998 by The American Society of Mechanical Engineers
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