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Numerical assessment of the performance of elastic cloaks for transient flexural waves

Rossi, Marco, Veber, Daniele and Gei, Massimiliano 2020. Numerical assessment of the performance of elastic cloaks for transient flexural waves. Frontiers in Materials 7 , 603667. 10.3389/fmats.2020.603667

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Abstract

A relevant application of transformation elastodynamics has shown that flexural waves in a Kirchhoff-Love plate can be diverted and channeled to cloak a region of the ambient space. To achieve the goal, an orthotropic meta-structural plate should be employed. However, the corresponding mathematical transformation leads to the presence of an unwanted strong compressive prestress, likely beyond the buckling threshold of the structure, with a set of in-plane body forces to warrant equilibrium. In addition, the plate must possess, at the same time, high bending stiffnesses, but a null twisting rigidity. With the aim of estimating the performance of cloaks modelled with approximate parameters, an in-house finite element code, based on a subparametric technique, is implemented to deal with the cloaking of transient waves in orthotropic thin plates. The tool allows us to explore the sensitivity of specific stiffness parameters that may be difficult to match in a real cloak design. In addition, the finite element code is extended to investigate a meta-plate interacting with a Winkler foundation, to confirm how the subgrade modulus should transform in the cloak region.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Additional Information: This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY)
Publisher: Frontiers Media
ISSN: 2296-8016
Date of First Compliant Deposit: 9 February 2021
Date of Acceptance: 12 October 2020
Last Modified: 09 Feb 2021 13:27
URI: http://orca.cf.ac.uk/id/eprint/137338

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