An optimal condition of compactness for elasticity problems involving one directional reinforcement

DOI10.1007/S10659-011-9334-5zbMath1366.74062OpenAlexW1977035618MaRDI QIDQ1937169

Marc Briane, Mohamed Camar-Eddine

Publication date: 11 February 2013

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-011-9334-5

zbMATH Keywords

homogenizationtwo-scale convergence\(H\)-convergenceoscillating test functions method

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Homogenization in equilibrium problems of solid mechanics (74Q05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

Emergence of elastostatic strain-gradient effects from topological optimization

Cites Work

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• Espaces de Dirichlet. I: Le cas élémentaire
• Homogenization of partial differential equations. Translated from the original Russian by M. Goncharenko and D. Shepelsky
• Homogenization and optimal bounds in linear elasticity
• \(\Gamma\)-limits of integral functionals
• Homogenization in some weakly connected domains
• Composite media and asymptotic Dirichlet forms
• 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
• Homogenization of two-dimensional elasticity problems with very stiff coefficients
• Nonlocal effects in two-dimensional conductivity
• 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
• Shape optimization by the homogenization method

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