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BibTex format

@article{Craster:2021:10.1137/20m1333201,
author = {Craster, R and Diatta, A and Guenneau, S and Hutridurga, H},
doi = {10.1137/20m1333201},
journal = {Multiscale Modeling & Simulation},
pages = {633--664},
title = {On near-cloaking for linear elasticity},
url = {http://dx.doi.org/10.1137/20m1333201},
volume = {19},
year = {2021}
}

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TY  - JOUR
AB  - We make precise some results on the cloaking of displacement fields in linear elasticity. In the spirit of transformation media theory, the transformed governing equations in Cosseratand Willis frameworks are shown to be equivalent to certain high-contrast small defect problems forthe usual Navier equations. We discuss near-cloaking for elasticity systems via a regularized transform and perform numerical experiments to illustrate our near-cloaking results. We also study thesharpness of the estimates from [H. Ammari, H. Kang, K. Kim, and H. Lee, J. Differential Equations,254 (2013), pp. 4446--4464], wherein the convergence of the solutions to the transmission problems isinvestigated, when the Lam\'e parameters in the inclusion tend to extreme values. Both soft and hardinclusion limits are studied and we also touch upon the finite frequency case. Finally, we propose anapproximate isotropic cloak algorithm for a symmetrized Cosserat cloak.
AU  - Craster,R
AU  - Diatta,A
AU  - Guenneau,S
AU  - Hutridurga,H
DO  - 10.1137/20m1333201
EP  - 664
PY  - 2021///
SN  - 1540-3459
SP  - 633
TI  - On near-cloaking for linear elasticity
T2  - Multiscale Modeling & Simulation
UR  - http://dx.doi.org/10.1137/20m1333201
UR  - https://epubs.siam.org/doi/10.1137/20M1333201
UR  - http://hdl.handle.net/10044/1/89472
VL  - 19
ER  -

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Dr Sébastien Guenneau

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