Abstract

In this Note, we prove that the identity matrix is an inner point of the quasiconvex hull K qc of a compact set K⊂{X∈ M 3,3: detX=1} whenever K qc 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: A. Balog et al. (Eds.), Proceedings European Congress of Mathematics, Progr. Math., Birkhäuser, 1998. To cite this article: G. Dolzmann, B. Kirchheim, C. R. Acad. Sci. Paris, Ser. I 336 (2003).

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