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MiS Preprint
45/2013
The Cubic-to-Orthorhombic Phase Transition - Rigidity and Non-Rigidity Properties in the Linear Theory of Elasticity
Angkana Rüland
Abstract
In this paper we investigate the cubic-to-orthorhombic phase transition in the framework of linear elasticity. Using convex integration techniques, we prove that this phase transition represents one of the simplest three-dimensional examples in which already the linearized theory of elasticity displays non-rigidity properties. As a complementary result, we demonstrate that surface energy constraints rule out such highly oscillatory behaviour. We give a full characterization of all possibly emerging patterns for generic values off δ.
