The Cosserat Spectrum Theory in Thermoelasticity and Application to the Problem of Heat Flow Past a Rigid Spherical Inclusion-Reference-Cited by-同舟云学术

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

Published:1998-09-01 Issue:3 Volume:65 Page:614-618
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Liu Wensen¹,Markenscoff X.²,Paukshto M.³

Affiliation:

1. 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

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

3. Marine Technology University, Saint Petersburg, Russia

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/65/3/614/5465951/614_1.pdf

Reference15 articles.

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