Achieving control of in-plane elastic waves

被引：263

作者：

Brun, M. ^{[1
]}

Guenneau, S. ^{[2
]}

Movchan, A. B. ^{[2
]}

机构：

[1] Univ Cagliari, Dept Struct Engn, I-09123 Cagliari, Italy

[2] Univ Liverpool, Dept Math Sci, Liverpool L69 3BX, Merseyside, England

来源：

APPLIED PHYSICS LETTERS | 2009年 / 94卷 / 06期

基金：

英国工程与自然科学研究理事会;

关键词：

elastic waves; elasticity; finite element analysis; Green's function methods; Navier-Stokes equations; ACOUSTIC CLOAKING;

D O I：

10.1063/1.3068491

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

We derive the elastic properties of a cylindrical cloak for in-plane coupled shear and pressure waves. The cloak is characterized by a rank 4 elasticity tensor with spatially varying entries, which are deduced from a geometric transform. Remarkably, the Navier equations retain their form under this transform, which is generally untrue [G. W. Milton , N. J. Phys. 8, 248 (2006)]. The validity of our approach is confirmed by comparison of the analytic Green's function in homogeneous isotropic elastic space against full-wave finite element computations in a heterogeneous anisotropic elastic region surrounded by perfectly matched layers.

引用

页数：3

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