Knowles, J. K. (1999) Stress-induced phase transitions in elastic solids. Computational Mechanics, 22 (6). pp. 429-436. ISSN 0178-7675. doi:10.1007/s004660050376. https://resolver.caltech.edu/CaltechAUTHORS:20141023-090542578
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Abstract
This paper describes a continuum model, developed recently by R. Abeyaratne and the author, for the response of elastic solids capable of undergoing stress-induced phase transitions. Models of the kind sketched here and their generalizations are intended to apply to both quasi-static and dynamic experiments for shape memory alloys and to impact-induced phase changes in ceramics. The present discussion is confined to a purely mechanical theory, omitting thermal effects, so that the natural setting is the nonlinear theory of elasticity. The presentation below is limited to one space dimension.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1999 Springer-Verlag. Communicated by S. N. Atluri, 20 September 1998. Much of the joint work with Rohan Abeyaratne that is described here was supported over a period of many years by the Office of Naval Research. An effort to apply these models to ceramics has been supported by the Army Research Office. The author greatly appreciates the help of both of these organizations. | |||||||||
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| Issue or Number: | 6 | |||||||||
| DOI: | 10.1007/s004660050376 | |||||||||
| Record Number: | CaltechAUTHORS:20141023-090542578 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20141023-090542578 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 50721 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 23 Oct 2014 16:10 | |||||||||
| Last Modified: | 10 Nov 2021 18:59 |
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