Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

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.

Received:
May 3, 2013
Published:
May 7, 2013

Related publications

inJournal
2016 Repository Open Access
Angkana Rüland

The cubic-to-orthorhombic phase transition : rigidity and non-rigidity properties in the linear theory of elasticity

In: Archive for rational mechanics and analysis, 221 (2016) 1, pp. 23-106