Abeyaratne, Rohan and Knowles, James K. (1998) On the stability of thermoelastic materials. Journal of Elasticity, 53 (3). pp. 199-213. ISSN 0374-3535. doi:10.1023/A:1007513631783. https://resolver.caltech.edu/CaltechAUTHORS:20141023-155158386
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Abstract
A notion of material stability is introduced and discussed in the setting of nonlinear thermoelasticity. Necessary and sufficient conditions are established for the stability of a general thermoelastic material. The adiabatic theory and the theory that accounts for heat conduction are considered separately.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1999 Kluwer Academic Publishers. Received 18 November 1998; in revised form 12 January 1999. The authors appreciate the helpful comments of Roger Fosdick. | |||||||||
| Subject Keywords: | thermoelasticity, stability, strong ellipticity | |||||||||
| Issue or Number: | 3 | |||||||||
| Classification Code: | Mathematics Subject Classifications (1991): 73B30, 73C50, 73H10, 73G05 | |||||||||
| DOI: | 10.1023/A:1007513631783 | |||||||||
| Record Number: | CaltechAUTHORS:20141023-155158386 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20141023-155158386 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 50758 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 23 Oct 2014 23:16 | |||||||||
| Last Modified: | 10 Nov 2021 19:00 |
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