On band gaps of nonlocal acoustic lattice metamaterials: a robust strain gradient model

DOI10.1007/s10483-021-2795-5zbMath1496.74024OpenAlexW4206239683MaRDI QIDQ2167670

Jin-Xing Liu, Binying Wang, Ai-Kah Soh, Nai-Gang Liang

Publication date: 25 August 2022

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-021-2795-5

zbMATH Keywords

nonlocal interactionfirst Brillouin zonedispersion diagramdiatomic lattice metamaterialstrain gradient continuum modelwavelength-dependent Taylor expansion

Mathematics Subject Classification ID

Micromechanical theories (74A60) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

Related Items (1)

On complete and micropolar-based incomplete strain gradient theories for periodic lattice structures

Cites Work

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• Continuum model of a one-dimensional lattice of metamaterials
• One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure. I: Generic formulation
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• Mechanism-based strain gradient plasticity. I: Theory
• Multi-displacement continuum modelling of the metamaterial plate with periodical arranged resonators
• Elastic wave and vibration bandgaps in two-dimensional acoustic metamaterials with resonators and disorders
• Wave propagation in one-dimensional infinite acoustic metamaterials with long-range interactions

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