Local minimizers and phase transformations

J. M. Ball, Richard D James

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We discuss a metastability problem arising in martensitic phase transformations, for which it can be proved that hysteresis occurs as a consequence of the geometric incompatibility between the parent and nucleating phases. This result does not follow from the existing general theory of local minimisers in the calculus of variations.

Original languageEnglish (US)
Pages (from-to)389-392
Number of pages4
JournalZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume76
Issue numberSUPPL. 2
StatePublished - Dec 1 1996

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