Global-local subadditive ergodic theorems and application to homogenization in elasticity.

DOI10.5802/ambp.149zbMath1070.28006OpenAlexW2017831768MaRDI QIDQ699500

Christian Licht, Gérard Michaille

Publication date: 2002

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_2002__9_1_21_0

zbMATH Keywords

homogenizationnonlinear elasticityergodic theorysubadditive processes

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Nonlinear elasticity (74B20) Ergodic theory of linear operators (47A35) Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in equilibrium problems of solid mechanics (74Q05) Ergodic theorems, spectral theory, Markov operators (37A30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (16)

Homogenization of multiparameter integrals ⋮ Stochastic homogenization of nonconvex integrals in the space of functions of bounded deformation ⋮ Γ-convergence and stochastic homogenization of degenerate integral functionals in weighted Sobolev spaces ⋮ A global method for deterministic and stochastic homogenisation in \textit{BV} ⋮ \(\Gamma\)-convergence of nonconvex integrals in Cheeger-Sobolev spaces and homogenization ⋮ Integral representation of unbounded variational functionals on Sobolev spaces ⋮ Radial extension of \(\Gamma\)-limits ⋮ Homogenization of unbounded integrals with quasiconvex growth ⋮ Asymptotic analysis of a class of optimal location problems ⋮ Homogenization and the limit of vanishing hardening in Hencky plasticity with non-convex potentials ⋮ On the Integral Representation of Variational Functionals on $BD$ ⋮ Homogenization of unbounded singular integrals in \(W^{1,\infty}\) ⋮ Homogenization of nonconvex integrals with convex growth ⋮ Macroscopic behavior of a randomly fibered medium ⋮ On subadditive theorems for group actions and homogenization ⋮ Homogenization of periodic nonconvex integral functionals in terms of Young measures

Cites Work

• Ergodic theorems. With a supplement by Antoine Brunel
• Homogenization of nonconvex integral functionals and cellular elastic materials
• A global method for relaxation
• Epi-convergence of sequences of normal integrands and strong consistency of the maximum likelihood estimator
• Ergodic theorems for superadditive processes.
• Ergodic theorems for spatial processes
• Direct methods in the calculus of variations
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