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arXiv 1709.00328cond-mat.soft
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作为相互作用弹性电荷的多孔机械超材料

Porous mechanical metamaterials as interacting elastic charges

Gabriele Librandi, Michael Moshe, Yoav Lahini, Katia Bertoldi

摘要:

本文提出了一个描述二维多孔机械超材料复杂非线性响应的分析框架。我们采用了一种几何方法来弹性,其中孔隙由弹性电荷表示,并表明,这种方法捕获具有高精度的单个孔隙的形状变形以及相邻孔隙之间的相互作用所产生的集体变形模式。具体而言,我们表明,四极和十六极-两个最低阶的多极弹性-能够匹配实验观察到的演变的形状和相对取向的孔在各种周期性多孔机械超材料。我们的工作证明了弹性电荷捕获高度可变形多孔固体物理的能力,并为多孔机械超材料的描述和合理设计的新理论框架的发展铺平了道路。

英文摘要:

We present an analytical framework to describe the complex nonlinear response of two-dimensional porous mechanical metamaterials. We adopt a geometric approach to elasticity in which pores are represented by elastic charges, and show that this method captures with high level of accuracy both the shape deformation of individual pores as well as collective deformation patterns resulting from interactions between neighboring pores. Specifically, we show that quadrupoles and hexadecapoles - the two lowest order multipoles available in elasticity - are capable of matching the experimentally observed evolution in shape and relative orientation of the holes in a variety of periodic porous mechanical metamaterials. Our work demonstrates the ability of elastic charges to capture the physics of highly deformable porous solids and paves the way to the development of new theoretical frameworks for the description and rational design of porous mechanical metamaterials.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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