4.7 Article

Dispersion of elastic waves in a micropolar metamaterial plate with periodical arranged resonators

期刊

APPLIED MATHEMATICAL MODELLING
卷 87, 期 -, 页码 468-487

出版社

ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2020.05.031

关键词

Micropolar material; Metamaterial; Resonator; Dispersion; Band gap

资金

  1. Fundamental Research Funds for the Central Universities [FRF-TW-2018-005, FRF-BR-18-008B]
  2. National Natural Science Foundation of China [11872105, 11911530176]

向作者/读者索取更多资源

The wave propagation in a micropolar elastic metamaterial is investigated in this paper. The elastic metamaterial is composed of the micropolar elastic host material and the periodically arranged local resonators. Compared with the classical elastic metamaterial, the micropolar elastic metamaterial has more material parameters that can be elaborately designed to manipulate the elastic wave propagation. By introducing additional displacement fields, a multi-displacement continuum model of the micropolar elastic metamaterial is presented to characterize the resonance behavior of the resonators and the microstructure effects of the unit cell. According to this continuum model, two independent wave systems exist: one is a longitudinal system and the other is a shear and rotation coupled transversal system. The dispersive curves and band gaps of the longitudinal and transversal systems are numerically discussed and the influences of the resonators are mainly considered. (C) 2020 Elsevier Inc. All rights reserved.

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