On the characterization of a class of laminates for 2×2 symmetric gradients

We report on our attempts to disprove the implication from rank-one convexity to quasiconvexity for 2x2 symmetric matrices. As a by-product, we have reached a characterization of some laminates, belonging to a special class which we call 3-edge-laminates.

Bibliographic Details
Main Author: Bandeira, Luís (author)
Other Authors: Ornelas, António (author)
Format: article
Language:eng
Published: 2012
Subjects:
Online Access:http://hdl.handle.net/10174/3098
Country:Portugal
Oai:oai:dspace.uevora.pt:10174/3098
Description
Summary:We report on our attempts to disprove the implication from rank-one convexity to quasiconvexity for 2x2 symmetric matrices. As a by-product, we have reached a characterization of some laminates, belonging to a special class which we call 3-edge-laminates.