Loss of polyconvexity by homogenization: a new example |
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Authors: | Marco Barchiesi |
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Institution: | (1) S.I.S.S.A., Via Beirut 2-4, 34014 Trieste, Italy |
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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. |
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Keywords: | 28A20 35B27 35B40 49J45 73B27 |
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