A variational approach to the local character of \(G\)-closure: the convex case

DOI10.1016/j.anihpc.2007.08.002zbMath1173.35012arXivmath/0703419OpenAlexW1980077800MaRDI QIDQ1012351

Marco Barchiesi, Jean-François Babadjian

Publication date: 16 April 2009

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703419

zbMATH Keywords

quasiconvexityYoung measurepolyconvexitytwo-scale convergence\(\Gamma \)-convergencecounter-examplescell integrands

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elasticity (74B20) Composite and mixture properties (74E30) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (7)

On the simultaneous homogenization and dimension reduction in elasticity and locality of \(\varGamma\)-closure ⋮ Variational homogenization: old and new ⋮ Commutability of homogenization and linearization at identity in finite elasticity and applications ⋮ Plane-like minimizers and differentiability of the stable norm ⋮ On the effective properties of composite elastic plate ⋮ New counterexamples to the cell formula in nonconvex homogenization ⋮ A quasistatic evolution model for the interaction between fracture and damage

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