Approximate method for controlling solid elastic waves by transformation media

被引：74

作者：

Hu, Jin ^{[1
]}

Chang, Zheng ^{[2
]}

Hu, Gengkai ^{[2
]}

机构：

[1] Beijing Inst Technol, Sch Informat & Elect, Beijing 100081, Peoples R China

[2] Beijing Inst Technol, Sch Aerosp Engn, Beijing 100081, Peoples R China

来源：

PHYSICAL REVIEW B | 2011年 / 84卷 / 20期

基金：

中国国家自然科学基金;

关键词：

ACOUSTIC CLOAKING;

D O I：

10.1103/PhysRevB.84.201101

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

By idealizing a general mapping as a series of local affine ones, we derive approximately transformed material parameters necessary to control solid elastic waves within classical elasticity theory. The transformed elastic moduli are symmetric, and can be used with Navier's equation to manipulate elastic waves. It is shown numerically that the method can provide a powerful tool to control elastic waves in solids in case of high frequency or small material gradient. Potential applications can be anticipated in nondestructive testing, structure impact protection, petroleum exploration, and seismology.

引用

页数：4

共 24 条

[1] Achieving control of in-plane elastic waves [J].

Brun, M. ;

Guenneau, S. ;

Movchan, A. B. .

APPLIED PHYSICS LETTERS, 2009, 94 (06)

[2]

Cerven V., 2001, Seismic ray theory

[3] Controlling elastic waves with isotropic materials [J].

Chang, Zheng ;

Hu, Jin ;

Hu, Gengkai ;

Tao, Ran ;

Wang, Yue .

APPLIED PHYSICS LETTERS, 2011, 98 (12)

[4] Acoustic cloaking in three dimensions using acoustic metamaterials [J].

Chen, Huanyang ;

Chan, C. T. .

APPLIED PHYSICS LETTERS, 2007, 91 (18)

[5] Cloak for curvilinearly anisotropic media in conduction [J].

Chen, Tungyang ;

Weng, Chung-Ning ;

Chen, Jun-Shan .

APPLIED PHYSICS LETTERS, 2008, 93 (11)

[6] One path to acoustic cloaking [J].

Cummer, Steven A. ;

Schurig, David .

NEW JOURNAL OF PHYSICS, 2007, 9

[7] Material parameters and vector scaling in transformation acoustics [J].

Cummer, Steven A. ;

Rahm, Marco ;

Schurig, David .

NEW JOURNAL OF PHYSICS, 2008, 10

[8] Ultrabroadband Elastic Cloaking in Thin Plates [J].

Farhat, Mohamed ;

Guenneau, Sebastien ;

Enoch, Stefan .

PHYSICAL REVIEW LETTERS, 2009, 103 (02)

[9]

Greenleaf A, 2003, MATH RES LETT, V10, P685

[10]

Hu J., ARXIV09125462

← 1 2 3 →