Nonlinear Localized Waves of Deformation in the Class of Metamaterials as Set as the Mass-in-mass Chain

DOI10.1007/978-3-030-13307-8_8zbMath1425.74248OpenAlexW2922495290MaRDI QIDQ4972571

Daniil A. Kolesov, V. I. Erofeev, Aleksey O. Malkhanov

Publication date: 25 November 2019

Published in: Advanced Structured Materials (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-13307-8_8

zbMATH Keywords

nonlinear wavesmathematical modelingmetamaterialone-dimensional systemmass-in-mass chain

Mathematics Subject Classification ID

Nonlinear waves in solid mechanics (74J30) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

Cites Work

• Acceleration waves and ellipticity in thermoelastic micropolar media
• Mechanics of generalized continua
• Elastic media with microstructure. I: One-dimensional models. (Transl. from the Russian)
• Nonlinear deformation waves in solids and dispersion
• Designing a light fabric metamaterial being highly macroscopically tough under directional extension: first experimental evidence
• On extending the concept of double negativity to acoustic waves
• Wave propagation in relaxed micromorphic continua: modeling metamaterials with frequency band-gaps
• Interfaces in micromorphic materials: Wave transmission and reflection with numerical simulations
• First evidence of non-locality in real band-gap metamaterials: determining parameters in the relaxed micromorphic model
• Micro–macro transition in the atomic chain via Whitham's modulation equation

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