2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110369This 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.12 pages, 1 figureAnalysis of PDEs28A20; 35B27; 35B40; 49J45; 73B27text