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Continuum models for irregular phase boundary motion in shape-memory tensile bars

Rosakis, Phoebus and Knowles, James K. (1999) Continuum models for irregular phase boundary motion in shape-memory tensile bars. European Journal of Mechanics - A/Solids, 18 (1). pp. 1-16. ISSN 0997-7538. doi:10.1016/S0997-7538(99)80001-1.

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We consider quasi-static displacement-controlled loading through one stress cycle of a shape-memory tensile bar modeled as a one-dimensional, two-phase elastic solid. Our objective is to explore the effect on the associated hysteresis loop of various qualitatively different types of kinetic relations, bearing in mind certain features of such loops that have been observed experimentally. We show that when the model involves a kinetic relation that is ‘unstable’ in a definite sense, ‘stick-slip’ motion of the interface between phases and serration of the accompanying stress-elongation curve are both predicted at slow elongation rates. We also show that a ‘nonhomogeneous’ kinetic relation intended to model the effect of micro-obstacles on interface motion also leads to irregular interface motion and a serrated stress-elongation curve, in this case at all elongation rates.

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Additional Information:© 1999 Elsevier, Paris. Received 21 November 1997; revised and accepted 10 February 1998. The authors have had the benefit of many helpful conversations with Rohan Abeyaratne. Financial support during the course of this work from the U.S. National Science Foundation (P.R.) as well as the U.S. Office of Naval Research (J.K.K.) is also gratefully acknowledged.
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Office of Naval Research (ONR)UNSPECIFIED
Subject Keywords:hysteresis; kinetic relation; shape-memory; stick-slip
Issue or Number:1
Record Number:CaltechAUTHORS:20141021-110039001
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Official Citation:Phoebus Rosakis, James K. Knowles, Continuum models for irregular phase boundary motion in shape-memory tensile bars, European Journal of Mechanics - A/Solids, Volume 18, Issue 1, January–February 1999, Pages 1-16, ISSN 0997-7538, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:50608
Deposited By: Tony Diaz
Deposited On:21 Oct 2014 18:05
Last Modified:10 Nov 2021 18:58

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