Homogenization of problems of elasticity theory on periodic box and rod frames of critical thickness

DOI10.1007/s10958-005-0392-8zbMath1085.35028OpenAlexW1967042098MaRDI QIDQ812315

S. E. Pastukhova

Publication date: 23 January 2006

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0392-8

zbMATH Keywords

HomogenizationElasticityperiodic measures method

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 of elasticity problems on periodic lattices of critical thickness
• Korn inequalities for thin periodic structures
• Averaging of problems in the theory of elasticity on singular structures.
• Solvability in the small of nonstationary problems for incompressible ideal and viscous fluids and the case of vanishing viscosity
• On the Korn inequalities on thin periodic frames
• On the Convergence of the Energy, Stress Tensors, and Eigenvalues in Homogenization Problems of Elasticity
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Weighted Sobolev spaces
• On an extension of the method of two-scale convergence and its applications
• Homogenization for elasticity problems on periodic networks of critical thickness
• Homogenization of elasticity problems on singular structures
• To the problem of passage to the limit in divergent nonuniformly elliptic equations