Homogenization of weakly coercive integral functionals in three-dimensional linear elasticity

DOI10.5802/jep.49zbMath1432.35015arXiv1609.04631OpenAlexW2962687783MaRDI QIDQ2011990

Antonio Jesús Pallares-Martín, Marc Briane

Publication date: 27 July 2017

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.04631

zbMATH Keywords

linear elasticityhomogenizationellipticity\(\Gamma\)-convergencerank-two lamination

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Effective constitutive equations in solid mechanics (74Q15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (3)

\(\Gamma\)-convergence of quadratic functionals with non uniformly elliptic conductivity matrices ⋮ Loss of strong ellipticity through homogenization in 2D linear elasticity: a phase diagram ⋮ A two-dimensional labile aether through homogenization

Cites Work

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• Isotropy prohibits the loss of strong ellipticity through homogenization in linear elasticity
• Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity
• Non-homogeneous media and vibration theory
• An introduction to \(\Gamma\)-convergence
• Laminations in linearized elasticity: The isotropic non-very strongly elliptic case
• Homogenisation of a class of fourth order equations with application to incompressible elasticity
• Loss of ellipticity through homogenization in linear elasticity
• Direct methods in the calculus of variations

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