论文标题
多元素超材的设计通过松弛的微态模型
Multi-element metamaterial's design through the relaxed micromorphic model
论文作者
论文摘要
在过去的几十年中,探索机械超材料的动态响应引起了人们的关注,从而使微观结构的设计与弹性波(聚焦,通道,频道,带隙,负折射,掩饰等)相互作用。然而,由于缺乏有效的模型与有限尺度上的更古典材料的相互作用,因此在工程实践中的应用和使用仍然不足。在本文中,我们表明,放松的微态模型可以为这个开放问题带来答案,并可以有效地用于探索和优化有限尺寸的超材料和经典材料的砖块。我们研究了两个示例,即一个双挡结构,可以用来扩大可以保护内部区域的频率范围,以及可以保护内部区域的频率范围,并优化了单个盾牌内部筛选的筛选和盾牌本身外部的区域。通过放松的微态模型的有限元实现,对这些复杂的元结构的探索已经实现了,该模型与经典模拟相比,可以预测其计算成本的响应。
Exploring the dynamical response of mechanical metamaterials has gathered increasing attention in the last decades, enabling the design of microstructures exotically interacting with elastic waves (focusing, channeling, band-gaps, negative refraction, cloaking, and many more). Yet, the application and use of such metamaterials in engineering practice is still deficient due to the lack of effective models unveiling metamaterials' interactions with more classical materials at finite scales. In this paper, we show that the relaxed micromorphic model can bring an answer to this open problem and can be effectively used to explore and optimize metamaterials' structures consisting of metamaterials' and classical materials' bricks of finite size. We investigate two examples, namely a double-shield structure that can be used to widen the frequency range for which the internal region can be protected and a multiple-shield structure that optimizes both the screening of the regions internal to the single shields and of the zones exterior to the shields themselves. The exploration of these complex meta-structures has been enabled by the finite element implementation of the relaxed micromorphic model that predicts their response at a fraction of the computational cost when compared to classical simulations.