Abeyaratne, Rohan and Knowles, James K. (1994) Dynamics of propagating phase boundaries: adiabatic theory for thermoelastic solids. Physica D, 79 (2-4). pp. 269-288. ISSN 0167-2789. https://resolver.caltech.edu/CaltechAUTHORS:20141024-102313946
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Abstract
This paper examines adiabatic processes in a thermoelastic material undergoing a solid-solid phase transition. It is shown that an initial-value problem of Riemann type, based on momentum balance, energy balance, kinematic compatibility and the entropy inequality, has a one-parameter family of solutions for a range of given data. Within this adiabatic setting, the notions of driving traction and kinetic relation are discussed. The enforcement of a kinetic relation at phase boundaries is shown to single out a particular solution of this Riemann problem from among the family of available solutions.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1994 Elsevier Science B.V. Received 17 November 1993; revised 19 March 1994 Communicated by J.M. Ball. We gratefully acknowledge the partial support of this work by the U.S. Office of Naval Research and the U.S. Army Research Office. | |||||||||
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| Issue or Number: | 2-4 | |||||||||
| Record Number: | CaltechAUTHORS:20141024-102313946 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20141024-102313946 | |||||||||
| Official Citation: | Rohan Abeyaratne, James K. Knowles, Dynamics of propagating phase boundaries: adiabatic theory for thermoelastic solids, Physica D: Nonlinear Phenomena, Volume 79, Issues 2–4, 15 December 1994, Pages 269-288, ISSN 0167-2789, http://dx.doi.org/10.1016/S0167-2789(05)80008-9. (http://www.sciencedirect.com/science/article/pii/S0167278905800089) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 50778 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 24 Oct 2014 18:09 | |||||||||
| Last Modified: | 03 Oct 2019 07:26 |
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