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Controlling solid elastic waves with spherical cloaks

delete2014-07-14
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A
André Diatta *
S
Sébastien Guenneau
DOI:10.1063/1.4887454delete
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摘要

摘要

En 中文
We propose a cloak for coupled shear and pressure waves in solids. Its elastic properties are deduced from a geometric transform that retains the form of Navier equations. The spherical shell is made of an anisotropic and heterogeneous medium described by an elasticity tensor C' (without the minor symmetries), which has 21 non-zero spatially varying coefficients in spherical coordinates. Although some entries of C', e. g., some with a radial subscript, and the density (a scalar radial function) vanish on the inner boundary of the cloak, this metamaterial exhibits less singularities than its cylindrical counterpart studied in [M. Brun, S. Guenneau, and A. B. Movchan, Appl. Phys. Lett. 94, 061903 (2009).] In the latter work, C' suffered some infinite entries, unlike in our case. Finite element computations confirm that elastic waves are smoothly bent around a spherical void. (C) 2014 AIP Publishing LLC.
Keyword:
ACOUSTIC CLOAKING
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期刊

Applied Physics Letters 封面图
Applied Physics Letters
IF:
3.6
论文数:
10.4W
被引数:
17.8W

机构

A
aix-marseille universite
学者数:
3.8W
论文数: 2.7W
被引数: 77
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