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Dynamics of propagating phase boundaries: adiabatic theory for thermoelastic solids

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
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/S0167-2789(05)80008-9DOIArticle
http://www.sciencedirect.com/science/article/pii/S0167278905800089PublisherArticle
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.
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)UNSPECIFIED
Army Research Office (ARO)UNSPECIFIED
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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