Loss of polyconvexity by homogenization: a new example
| dc.creator | Barchiesi, Marco | |
| dc.date | 2006-03-30 | |
| dc.date.accessioned | 2026-07-07T07:07:22Z | |
| dc.date.available | 2026-07-07T07:07:22Z | |
| dc.description | 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 $p\geq2$ can be fixed arbitrarily. | |
| dc.description | 12 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0603711 | |
| dc.identifier | http://arxiv.org/abs/math/0603711 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110369 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 28A20; 35B27; 35B40; 49J45; 73B27 | |
| dc.title | Loss of polyconvexity by homogenization: a new example | |
| dc.type | text |