CaltechAUTHORS
  A Caltech Library Service

Unstable kinetic relations and the dynamics of solid-solid phase transitions

Rosakis, Phoebus and Knowles, James K. (1997) Unstable kinetic relations and the dynamics of solid-solid phase transitions. Journal of the Mechanics and Physics of Solids, 45 (11-12). pp. 2055-2081. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20141022-084738427

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20141022-084738427

Abstract

In recent continuum-mechanical models of phase transitions in solids, the kinetic relation for a transition is usually assumed to be such that the driving force acting on a phase boundary is a monotonically increasing function of phase boundary velocity. The present paper explores the implications of relinquishing this assumption in the dynamics of one-dimensional elastic bars undergoing stress-induced transitions. Among other results, it is found that, for a class of non-monotonic kinetic relations, models of the kind discussed here permit stick-slip motions of a phase boundary, as observed in certain experiments.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/S0022-5096(97)00026-4DOIArticle
http://www.sciencedirect.com/science/article/pii/S0022509697000264PublisherArticle
Additional Information:© 1997 Elsevier Science Ltd. Received 23 December 1996. This work was supported in part by the U.S. National Science Foundation (PR) and the U.S. Office of Naval Research (JKK). The authors are grateful for helpful discussions with Rohan Abeyaratne, Costas Papadimitriou and Lev Truskinovsky.
Funders:
Funding AgencyGrant Number
NSFUNSPECIFIED
Office of Naval Research (ONR)UNSPECIFIED
Subject Keywords:acoustics; phase transformation; shock waves; stress waves; stability and bifurcation
Issue or Number:11-12
Record Number:CaltechAUTHORS:20141022-084738427
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20141022-084738427
Official Citation:Rosakis, P., & Knowles, J. K. (1997). Unstable kinetic relations and the dynamics of solid-solid phase transitions. Journal of the Mechanics and Physics of Solids, 45(11–12), 2055-2081. doi: http://dx.doi.org/10.1016/S0022-5096(97)00026-4
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:50667
Collection:CaltechAUTHORS
Deposited By: Joanne McCole
Deposited On:22 Oct 2014 16:22
Last Modified:03 Oct 2019 07:25

Repository Staff Only: item control page