Abstract 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.

中文翻译：

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具有周期性排列谐振器的微极超材料板中弹性波的色散

摘要 本文研究了波在微极弹性超材料中的传播。弹性超材料由微极弹性主体材料和周期性排列的局部谐振器组成。与经典的弹性超材料相比，微极弹性超材料具有更多的材料参数，可以精心设计来操纵弹性波的传播。通过引入额外的位移场，提出了微极弹性超材料的多位移连续体模型来表征谐振器的谐振行为和晶胞的微观结构效应。根据该连续介质模型，存在两个独立的波系统：一个是纵向系统，另一个是剪切和旋转耦合的横向系统。