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In-Plane Semi-Linear Cloaks with Arbitrary Shape

In-Plane Semi-Linear Cloaks with Arbitrary Shape Abstract Soft materials with semi-linear strain energy function can be used as smart transformation media to manipulate elastic waves via finite pre-deformation. However, the intrinsic constraints involved in such materials limit the shapes of transformation devices to very simple cases. In this work, combining theoretical and numerical analyses, we report an approach of achieving the in-plane elastodynamic cloak with arbitrary shape. We demonstrate that with the appropriate out-of-plane stretch applied on the semi-linear material, cloaking effect can be achieved for both P- and SV-waves in the symmetric plane of a 3D domain, and the performance of the cloak with arbitrary cross section can be guaranteed for relatively small in-plane rotation. In addition, we propose an empirical formula to predict the deformation limit of the cloaks with semi-linear materials. This work may stimulate the experimental research on soft-matter-based transformation devices. Potential applications can be anticipated in nondestructive testing, structure impact protection, biomedical imaging and soft robotics. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Acta Mechanica Solida Sinica" Springer Journals

In-Plane Semi-Linear Cloaks with Arbitrary Shape

Guo, Dengke; Chang, Zheng; Hu, Gengkai
"Acta Mechanica Solida Sinica" , Volume 32 (3): 10 – Jun 1, 2019
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References (27)

Publisher
Springer Journals
Copyright
2019 The Chinese Society of Theoretical and Applied Mechanics
ISSN
0894-9166
eISSN
1860-2134
DOI
10.1007/s10338-019-00094-7
Publisher site
See Article on Publisher Site

Abstract

Abstract Soft materials with semi-linear strain energy function can be used as smart transformation media to manipulate elastic waves via finite pre-deformation. However, the intrinsic constraints involved in such materials limit the shapes of transformation devices to very simple cases. In this work, combining theoretical and numerical analyses, we report an approach of achieving the in-plane elastodynamic cloak with arbitrary shape. We demonstrate that with the appropriate out-of-plane stretch applied on the semi-linear material, cloaking effect can be achieved for both P- and SV-waves in the symmetric plane of a 3D domain, and the performance of the cloak with arbitrary cross section can be guaranteed for relatively small in-plane rotation. In addition, we propose an empirical formula to predict the deformation limit of the cloaks with semi-linear materials. This work may stimulate the experimental research on soft-matter-based transformation devices. Potential applications can be anticipated in nondestructive testing, structure impact protection, biomedical imaging and soft robotics.

Journal

"Acta Mechanica Solida Sinica" – Springer Journals

Published: Jun 1, 2019

Keywords: Theoretical and Applied Mechanics; Surfaces and Interfaces, Thin Films; Classical Mechanics

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