基于丰富连续介质模型的带隙异向介质中波传播模型研究进展
A review on wave propagation modeling in band-gap metamaterials via enriched continuum models
摘要：
在目前的贡献中，我们表明，放松微观模型是唯一的非局部连续模型，它是能够占的超材料，其中的动能帐户分别为微观和宏观运动的描述带隙不考虑微观-宏观耦合。此外，我们表明，当添加一个梯度惯性项，这确实允许描述的耦合的微观结构的振动的宏观运动的晶胞，其他丰富的连续模型的微观类型可以允许描述的发病带隙。然而，松弛微观模型被证明是最有效的丰富的连续模型，能够描述多个带隙的非局域超材料。
英文摘要：
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.
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