Homogenisation and spectral convergence of a periodic elastic composite with weakly compressible inclusions

DOI10.1080/00036811.2013.833327zbMath1304.35061arXiv1304.7043OpenAlexW2000241236WikidataQ58127965 ScholiaQ58127965MaRDI QIDQ2875550

Shane Cooper

Publication date: 8 August 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7043

zbMATH Keywords

homogenizationoperator theoryspectral theory and eigenvalue problemstwo-phase elastic compositetwo-scale homogenised limit

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (6)

Homogenization of Stratified Elastic Composites with High Contrast ⋮ Quasi-periodic two-scale homogenisation and effective spatial dispersion in high-contrast media ⋮ Bandgaps in two-dimensional high-contrast periodic elastic beam lattice materials ⋮ Asymptotic Analysis of Stratified Elastic Media in the Space of Functions with Bounded Deformation ⋮ Two-scale homogenization for a general class of high contrast PDE systems with periodic coefficients ⋮ Spectral and evolution analysis of composite elastic plates with high contrast

Cites Work

• Multiscale Modeling of Elastic Waves: Theoretical Justification and Numerical Simulation of Band Gaps
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• On an extension of the method of two-scale convergence and its applications
• Homogenization of elasticity equations with contrasting coefficients
• Non-local homogenized limits for composite media with highly anisotropic periodic fibres

This page was built for publication: Homogenisation and spectral convergence of a periodic elastic composite with weakly compressible inclusions