Laminates supported on cubes
Optimization and Control
2015-04-29 v2
Abstract
In this paper we study the relationship between rank-one convexity and quasiconvexity in the space of 2x2 matrices. We show that a certain procedure for constructing homogeneous gradient Young measures from periodic deformations, that arises from V.~\v Sver\'ak's celebrated counterexample in higher dimensions, always yields laminates in the 2x2 case.
Keywords
Cite
@article{arxiv.1504.06516,
title = {Laminates supported on cubes},
author = {Gabriella Sebestyén and László Székelyhidi},
journal= {arXiv preprint arXiv:1504.06516},
year = {2015}
}
Comments
24 pages, 9 figures