A general homogenization result of spectral problem for linearized elasticity in perforated domains.

DOI10.21136/AM.2021.0009-20OpenAlexW3160161935MaRDI QIDQ1984573

Hamid Haddadou, Mohamed Mourad Lhannafi Ait Yahia

Publication date: 16 September 2021

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/am.2021.0009-20

zbMATH Keywords

linear elasticityeigenvalue problemhomogenizationperforated domain\(H\)-convergence

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Classical linear elasticity (74B05) Eigenvalue problems for linear operators (47A75) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

• Homogenization of elliptic eigenvalue problems. I
• The general theory of homogenization. A personalized introduction
• Homogenization and optimal bounds in linear elasticity
• Homogenization of eigenvalue problems in perforated domains
• Homogenization of reticulated structures
• Spectral homogenization for a Robin-Neumann problem
• Homogenization in general periodically perforated domains by a spectral approach
• Homogenization of Steklov spectral problems with indefinite density function in perforated domains
• Iterated homogenization for the linearized elasticity by \(H_e^0\)-convergence
• Which sequences of holes are admissible for periodic homogenization with Neumann boundary condition?
• Spectral Approach to Homogenization of Elliptic Operators in a Perforated Space
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