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.

中文翻译：

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嵌入式软设备的横波操纵

超弹性变换理论已经证明，利用具有适当预变形的新胡克材料可以设计具有各种功能的横波操纵装置。然而，这些设备如何与它们嵌入的背景介质相匹配仍然难以捉摸。在这项工作中，我们提出了弹性波在未变形和预变形超弹性材料之间的界面处的传输和反射的系统公式。结合理论分析和数值模拟，我们专门研究了从未变形的新胡克材料到具有不同均匀变形的材料的横波传播。在三种典型的变形模式中，我们发现“受约束的”单轴拉伸和简单的剪切保证了总传递，而“ 这项工作可能为软物质波控制装置的设计和实现铺平道路。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方面的潜在应用。这项工作可能为软物质波控制装置的设计和实现铺平道路。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方面的潜在应用。