Cloaking bending waves propagating in thin elastic plates

被引：117

作者：

Farhat, Mohamed ^{[1
]}

Guenneau, Sebastien ^{[2
]}

Enoch, Stefan ^{[1
]}

Movchan, Alexander B. ^{[2
]}

机构：

[1] Aix Marseille Univ, CNRS, Inst Fresnel, F-13013 Marseille, France

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

来源：

PHYSICAL REVIEW B | 2009年 / 79卷 / 03期

关键词：

bending; elastic waves; elasticity; plates (structures); wave propagation; FLEXURAL WAVES;

D O I：

10.1103/PhysRevB.79.033102

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We introduce a cylindrical cloak to control the bending waves propagating in thin plates. This is achieved through radially dependent isotropic mass density and radially dependent and orthotropic flexural rigidity deduced from a coordinate transformation for the biharmonic propagation equation in the spirit of the paper of Pendry [Science 312, 1780 (2006)]. We analyze the response of the cloak surrounding a clamped obstacle in the presence of a cylindrical excitation. We note that whereas the studied bending waves are of different physical and mathematical nature, they are cloaked in many ways as their electromagnetic and acoustic counterparts; e.g., when the source lies inside the coating, it seems to radiate from a shifted location (mirage effect).

引用

页数：4

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