Elastodynamic Transformation Cloaking for Non-Centrosymmetric Gradient Solids

Elastodynamic Transformation Cloaking for Non-Centrosymmetric Gradient Solids

In this paper we investigate the possibility of elastodynamic transformation cloaking in bodies made of non-centrosymmetric gradient solids. The goal of transformation cloaking is to hide a hole from elastic disturbances in the sense that the mechanical response of a homogeneous and isotropic body w...

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Veröffentlicht in:arXiv.org 2021-01
Hauptverfasser: Sozio, Fabio, Golgoon, Ashkan, Yavari, Arash
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Sprache:eng
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Angular momentum
Elastodynamics
Mathematics - Analysis of PDEs
Mechanical analysis
Physics - Pattern Formation and Solitons
Physics - Soft Condensed Matter
Transformations
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Golgoon, Ashkan
Yavari, Arash
description In this paper we investigate the possibility of elastodynamic transformation cloaking in bodies made of non-centrosymmetric gradient solids. The goal of transformation cloaking is to hide a hole from elastic disturbances in the sense that the mechanical response of a homogeneous and isotropic body with a hole covered by a cloak would be identical to that of the corresponding homogeneous and isotropic body outside the cloak. It is known that in the case of centrosymmetric gradient solids the balance of angular momentum is the obstruction to transformation cloaking. We will show that this is the case for non-centrosymmetric gradient solids as well.
doi_str_mv 10.48550/arxiv.2101.00697
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subjects Angular momentum
Elastodynamics
Mathematics - Analysis of PDEs
Mechanical analysis
Physics - Pattern Formation and Solitons
Physics - Soft Condensed Matter
Transformations
title Elastodynamic Transformation Cloaking for Non-Centrosymmetric Gradient Solids
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