Abeyaratne, Rohan and Knowles, James K. (1992) On the Propagation of Maximally Dissipative Phase Boundaries in Solids. Quarterly of Applied Mathematics, 50 (1). pp. 149-172. ISSN 0033-569X. https://resolver.caltech.edu/CaltechAUTHORS:20141024-154040051
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Abstract
This paper is concerned with the kinetics of propagating phase boundaries in a bar made of a special nonlinearly elastic material. First, it is shown that there is a kinetic law of the form f = φ(s) relating the driving traction f at a phase boundary to the phase boundary velocity s that corresponds to a notion of maximum dissipation analogous to the concept of maximum plastic work. Second, it is shown that a modified version of the entropy rate admissibility criterion can be described by a kinetic relation of the above form, but with a different φ. Both kinetic relations are applied to the Riemann problem for longitudinal waves in the bar.
Item Type: | Article | ||||||
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Additional Information: | © 1992 Brown University. Received September 19, 1990. The support of the Mechanics Branch of the U.S. Office of Naval Research through Contract N00014-87-K-0117 and Grant N00014-90-J-1871 is gratefully acknowledged. | ||||||
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Issue or Number: | 1 | ||||||
Record Number: | CaltechAUTHORS:20141024-154040051 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20141024-154040051 | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 50813 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | Tony Diaz | ||||||
Deposited On: | 24 Oct 2014 22:46 | ||||||
Last Modified: | 03 Oct 2019 07:26 |
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