基于嵌入式软器件的剪切波操纵
Shear-wave manipulation by embedded soft devices
摘要：
超弹性变换理论证明，利用新胡克材料，通过适当的预变形，可以设计出具有多种功能的剪切波操纵装置。然而，这些设备如何与它们嵌入的背景介质相匹配仍然是难以捉摸的。在这项工作中，我们提出了一个系统的制定之间的未变形和预变形超弹性材料的界面处的弹性波的透射和反射。结合理论分析和数值模拟，我们专门研究了剪切波从未变形的neo-Hookean材料到不同均匀变形的材料的传播。在三种典型的变形模式中，我们发现“约束”单轴拉伸和简单剪切保证总传输，而“普通”单轴拉伸和静水压力引起波反射。在此基础上，提出了三种嵌入式剪切波操纵装置，包括单向斗篷、可拼接光束弯曲和凹透镜，并通过数值模拟进行了验证。该工作为软物质控波装置的设计和实现奠定了基础。潜在的应用可以预期在无损检测，结构冲击保护，生物医学成像和软机器人。
英文摘要：
Hyperelastic transformation theory has proven shear-wave manipulation devices with various functions can be designed by utilizing neo-Hookean material with appropriate pre-deformation. However, it is still elusive that how can such devices match with the background medium in which they embedded. In this work, we present a systematic formulation of the transmission and reflection of elastic waves at the interface between un-deformed and pre-deformed hyperelastic materials. With the combination of theoretical analyses and numerical simulations, we specifically investigate the shear-wave propagation from an un-deformed neo-Hookean material to the one subject to different homogeneous deformations. Among three typical deformation modes, we found "constrained" uniaxial tension and simple shear guarantee total transmission, whereas "ordinary" uniaxial tension and hydrostatic compression cause wave reflection. On this basis, three embedded shear-wave manipulation devices, including a unidirectional cloak, a splicable beam bend, and a concave lens, are proposed and verified through numerical simulations. This work may pave the way for the design and realization of soft-matter-based wave control devices. Potential applications can be anticipated in nondestructive testing, structure impact protection, biomedical imaging, and soft robotics.
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