Loss of polyconvexity by homogenization: a new example

Original Article

Abstract

This article is devoted to the study of the asymptotic behavior of the zero-energy deformations set of a periodic nonlinear composite material. We approach the problem using two-scale Young measures. We apply our analysis to show that polyconvex energies are not closed with respect to periodic homogenization. The counterexample is obtained through a rank-one laminated structure assembled by mixing two polyconvex functions with P-growth, where p ≥ 2 can be fixed arbitrarily.

Mathematics Subject Classification (2000)

28A20 35B27 35B40 49J45 73B27 

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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.S.I.S.S.A.TriesteItaly

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