Elastodynamic Transformation Cloaking for Non-Centrosymmetric Gradient Solids
Soft Condensed Matter
2021-05-25 v1 Analysis of PDEs
Pattern Formation and Solitons
Abstract
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.
Cite
@article{arxiv.2101.00697,
title = {Elastodynamic Transformation Cloaking for Non-Centrosymmetric Gradient Solids},
author = {Fabio Sozio and Ashkan Golgoon and Arash Yavari},
journal= {arXiv preprint arXiv:2101.00697},
year = {2021}
}