A one-dimensional continuum model for shape-memory alloys

Rohan Abeyaratne, Kim Sang-Joo, James K. Knowles

Research output: Contribution to journalArticlepeer-review

96 Scopus citations


In this paper we construct an explicit one-dimensional constitutive model that is capable of describing some aspects of the thermomechanical response of a shape-memory alloy. The model consists of a Helmholtz free-energy function, a kinetic relation and a nucleation criterion. The free-energy is associated with a three-well potential energy function; the kinetic relation is based on thermal activation theory; nucleation is assumed to occur at a critical value of the appropriate energy barrier. The predictions of the model in various quasi-static thermomechanical loadings are examined and compared with experimental observations.

Original languageEnglish
Pages (from-to)2229-2249
Number of pages21
JournalInternational Journal of Solids and Structures
Issue number16
StatePublished - Aug 1994


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