Nonlinear waves in diatomic crystals

DOI10.1016/j.wavemoti.2013.03.009zbMath1454.74095OpenAlexW1989325109MaRDI QIDQ1756516

Xianqiang Yang

Publication date: 14 January 2019

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

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2013.03.009

zbMATH Keywords

continuum limitnonlinear equationdiatomic latticetraveling wave solutionlocalized strain wave

Mathematics Subject Classification ID

Nonlinear waves in solid mechanics (74J30) Statistical mechanics of crystals (82D25) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Analysis of microstructure in solids (74N15) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

Related Items (7)

Modeling of strongly nonlinear effects in diatomic lattices ⋮ Dispersion and topological characteristics of permutative polyatomic phononic crystals ⋮ Vibrations of nonlinear elastic lattices: low- and high-frequency dynamic models, internal resonances and modes coupling ⋮ Mechanisms for transient localization in a diatomic nonlinear chain ⋮ Asymptotic approximations to travelling waves in the diatomic Fermi-pasta-Ulam lattice ⋮ Anti-plane surface waves in media with surface structure: discrete vs. continuum model ⋮ Wave transmission across surface interfaces in lattice structures

Cites Work

• Micromechanics of a double continuum in a model of a medium with variable periodic structure
• Improved continuous models for discrete media
• Waves in microstructured solids and the Boussinesq paradigm
• Models for essentially nonlinear strain waves in materials with internal structure
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