Shear-wave manipulation by embedded soft devices. (February 2021)

• Record Type: Journal Article
• Authors: Chen, Linli; Ma, Chao; Zhao, Shiheng; Zheng, Pingping; Zhao, Qian; Chang, Zheng
• Is Part Of: International journal of solids and structures. Volume 210/211(2021)
• Page Start: 136
• Page End: 144
• Publication Date: 2021-02
• Subjects: Hyperelasticity -- Neo-Hookean -- Shear wave -- Cloak -- Beam bend; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2020.11.025
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: In accordance with hyperelastic transformation theory, a range of shear-wave manipulation devices can be designed with neo-Hookean materials pre-deformed properly. However, how such devices fit the background medium remains elusive. In this study, a systematic formula is developed in terms of elastic wave transmission and reflection between un-deformed and pre-deformed hyperelastic materials. By both theoretical analyses and numerical simulations, the shear-wave propagation from an un-deformed neo-Hookean material to the pre-deformed one is investigated. Among the three typical deformations, "constrained" uniaxial tension and simple-shear are found to be able to ensure total transmission, whereas ordinary uniaxial tension and hydrostatic compression could cause reflection. Thus, three embedded shear-wave manipulation devices are proposed, namely, a unidirectional cloak, a splicing beam bend and a concave lens; their performance is verified by numerical simulations. This study may underpin the design and realization of soft-matter-based wave control devices. Potential applications can be expected in nondestructive testing, impact protection, biomedical imaging, as well as soft robotics.