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A microstructure of martensite which is not a minimiser of energy: the X-interface

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Abstract

In this paper we investigate the X-interface, a microstructure observed in Indium-Thallium byBasinski &Christian [5].Ball &James [3] have shown howsimple martensitic microstructures can be represented by sequences of elastic deformations which minimise a free-energy functional. In contrast we show that the X-interfacecannot be represented by such a sequence. In an attempt to understand this result we develop a less restrictive theory based onEricksen's ideas about low-energy modes of deformation for martensitic materials. This theory has some interesting conclusions for the X-interface and Indium-Thallium, for the wedge-like microstructures analysed recently byBhattacharya [6], and for the general problem of microstructures which cannot be represented by minimising sequences. The calculations in this paper apply only to cubic-to-tetragonal transformations.

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  1. Department of Theoretical Mechanics, Nottingham University, NG7 2RD, Nottingham

    Guy Ruddock

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  1. Guy Ruddock
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Communicated by R. D. James

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Ruddock, G. A microstructure of martensite which is not a minimiser of energy: the X-interface. Arch. Rational Mech. Anal. 127, 1–39 (1994). https://doi.org/10.1007/BF01845216

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