标题： 基于增强连续体模型的禁带超材料中波传播建模综述 显示英文标题

标题： A review on wave propagation modeling in band-gap metamaterials via enriched continuum models

摘要： 在本次贡献中，我们表明，松弛微应变模型是唯一能够描述超材料中带隙的非局部连续体模型，其中动能分别对微观和宏观运动进行描述，而不考虑微观和宏观耦合。 此外，我们表明，当添加一个梯度惯性项，该梯度惯性项确实允许描述微观结构振动与单元宏观运动的耦合时，其他丰富的微应变类型连续体模型可能能够描述带隙的出现。 然而，松弛微应量模型被证明是迄今为止最有效的丰富连续体模型，能够描述非局部超材料中的多个带隙。 显示英文摘要

摘要： In the present contribution we show that the relaxed micromorphic model is the only non-local continuum model which is able to account for the description of band-gaps in metamaterials for which the kinetic energy accounts separately for micro and macro-motions without considering a micro-macro coupling. Moreover, we show that when adding a gradient inertia term which indeed allows for the description of the coupling of the vibrations of the microstructure to the macroscopic motion of the unit cell, other enriched continuum models of the micromorphic type may allow the description of the onset of band-gaps. Nevertheless, the relaxed micromorphic model proves to be yet the most effective enriched continuum model which is able to describe multiple band-gaps in non-local metamaterials.