Emergent scale behaviour in the effective equations for an elastic metamaterial

DOI10.1016/j.wavemoti.2020.102604OpenAlexW3040001680MaRDI QIDQ2659679

John D. Smith

Publication date: 26 March 2021

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2020.102604

zbMATH Keywords

constitutive equationsasymptotic analysishomogenisationelastic metamaterial

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Fluid mechanics (76-XX)

Cites Work

• Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves
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• Application of the method of asymptotic homogenization to an acoustic metafluid
• Effective constitutive relations for waves in composites and metamaterials
• Operators and Fractional Derivatives for Viscoelastic Constitutive Equations
• Higher order asymptotic homogenization and wave propagation in periodic composite materials
• High-frequency homogenization for periodic media
• Multiple Scattering of Waves
• Multiple scattering of elastic waves by cylinders of arbitrary cross section. I. SH waves
• On modifications of Newton's second law and linear continuum elastodynamics
• Non-local homogenized limits for composite media with highly anisotropic periodic fibres

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