Published December 15, 1994
| public
Journal Article
Dynamics of propagating phase boundaries: adiabatic theory for thermoelastic solids
- Creators
- Abeyaratne, Rohan
- Knowles, James K.
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.
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.Additional details
- Eprint ID
- 50778
- Resolver ID
- CaltechAUTHORS:20141024-102313946
- Office of Naval Research (ONR)
- Army Research Office (ARO)
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2014-10-24Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field