Special transformations for pentamode acoustic cloaking
| Autor: | Andrew N. Norris, Nachiket H. Gokhale, Jeffrey Cipolla |
|---|---|
| Rok vydání: | 2012 |
| Předmět: |
Manufactured Materials
Acoustics and Ultrasonics FOS: Physical sciences Material property Cloaking Motion (geometry) Physics - Classical Physics Elastic anisotropy Motion Special properties Arts and Humanities (miscellaneous) Elastic Modulus medicine Computer Simulation Tangential stiffness Anisotropy Physics Condensed Matter - Materials Science Virtual spaces Power-law Mathematical analysis Cloak Materials Science (cond-mat.mtrl-sci) Classical Physics (physics.class-ph) Stiffness Numerical Analysis Computer-Assisted Acoustics Equipment Design Acoustic wave Models Theoretical Constant density Sound Transformation (function) Radial stiffness medicine.symptom Constant (mathematics) |
| Zdroj: | The Journal of the Acoustical Society of America. 132:2932-2941 |
| ISSN: | 0001-4966 |
| Popis: | The acoustic cloaking theory of Norris (2008) permits considerable freedom in choosing the transformation function f from physical to virtual space. The standard process for defining cloak materials is to first define f and then evaluate whether the materials are practically realizable. In this paper, this process is inverted by defining desirable material properties and then deriving the appropriate transformations which guarantee the cloaking effect. Transformations are derived which result in acoustic cloaks with special properties such as 1) constant density 2) constant radial stiffness 3) constant tangential stiffness 4) power-law density 5) power-law radial stiffness 6) power-law tangential stiffness 7) minimal elastic anisotropy. 9 pages, 8 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|