Calculus of Variations and Partial Differential Equations

, Volume 30, Issue 2, pp 215–230

Loss of polyconvexity by homogenization: a new example

Original Article

DOI: 10.1007/s00526-006-0085-2

Cite this article as:
Barchiesi, M. Calc. Var. (2007) 30: 215. doi:10.1007/s00526-006-0085-2


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)


Copyright information

© Springer-Verlag 2007

Authors and Affiliations

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