Homogenization of two-dimensional elasticity problems with very stiff coefficients

DOI10.1016/j.matpur.2007.09.003zbMath1134.35010OpenAlexW1982139916MaRDI QIDQ2465760

Mohamed Camar-Eddine, Marc Briane

Publication date: 8 January 2008

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2007.09.003

zbMATH Keywords

homogeneous Dirichlet boundary conditionsH-convergence\(\Gamma \)-convergencecomposite 2D materialnon periodic and periodic cases

Mathematics Subject Classification ID

Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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Cites Work

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• Homogenization and optimal bounds in linear elasticity
• An analysis of a mixed finite element method for the Navier-Stokes equations
• Homogenization in some weakly connected domains
• Composite media and asymptotic Dirichlet forms
• An introduction to \(\Gamma\)-convergence
• A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium
• Determination of the closure of the set of elasticity functionals
• Homogenization of an elastic material reinforced by very stiff or heavy fibers. Non-local effects. Memory effects
• Homogenization of non-uniformly bounded operators: critical barrier for nonlocal effects
• Asymptotic behaviour of equicoercive diffusion energies in dimension two
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• Homogenization of High-Conductivity Periodic Problems: Application to a General Distribution of One-Directional Fibers
• CLOSURE OF THE SET OF DIFFUSION FUNCTIONALS WITH RESPECT TO THE MOSCO-CONVERGENCE
• Two-Dimensional Div-Curl Results: Application to the Lack of Nonlocal Effects in Homogenization
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