Liquid-like behaviour of shape memory alloys

Georg Dolzmann and Bernd Kirchheim

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Submission date: 04. Jul. 2002
Pages: 8
published in: Comptes rendus mathematique, 336 (2003) 5, p. 441-446 
DOI number (of the published article): 10.1016/S1631-073X(03)00082-7
Bibtex
MSC-Numbers: 74N15
Keywords and phrases: quasiconvex hulls, phase transformations
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Abstract:
In this note, we prove that the identity matrix is an inner point of the quasiconvex hull of a compact set whenever contains a three-well configuration. This is in particular the case for the cubic to tetragonal and the cubic to orthorhombic phase transformations, and answers a question discussed in [S. Müller, Microstructures, phase transitions and geometry, in: Proceedings European Congress of Mathematics, Budapest, 1996, Birkhäuser 1998]