scholarly journals Active cloaking of inclusions for flexural waves in thin elastic plates

2015 ◽  
Vol 68 (3) ◽  
pp. 263-288 ◽  
Author(s):  
J. O'Neill ◽  
Ö. Selsil ◽  
R.C. McPhedran ◽  
A.B. Movchan ◽  
N.V. Movchan
Keyword(s):  
Elastic Plates ◽  
Flexural Waves ◽  
Thin Elastic Plates

Diffraction of flexural waves by cracks in orthotropic thin elastic plates. Part II. Far field analysis

2007 ◽  
Vol 463 (2082) ◽  
pp. 1615-1638 ◽  
Author(s):  
Ian Thompson ◽  
I.David Abrahams
Keyword(s):  
Thin Plate ◽  
Scattered Field ◽  
Asymptotic Approximation ◽  
Principal Direction ◽  
Field Analysis ◽  
Flexural Wave ◽  
Far Field ◽  
Elastic Plates ◽  
Flexural Waves ◽  
Thin Elastic Plates

The scattered field arising from diffraction of a plane flexural wave by a semi-infinite crack in an orthotropic Kirchhoff thin plate is analysed. The crack is aligned with a principal direction of the material, so that two of the plate's three planes of symmetry are preserved. An asymptotic approximation is derived via the method of steepest descents, and explicit expressions are given for the most significant contributions. The effects of anisotropy upon the scattered field are made clear, and numerical results are presented for several typical engineering materials.

Invisible omnidirectional lens for flexural waves in thin elastic plates

2017 ◽  
Vol 50 (22) ◽  
pp. 225301 ◽  
Author(s):  
Yabin Jin ◽  
Daniel Torrent ◽  
Bahram Djafari-Rouhani
Keyword(s):  
Elastic Plates ◽  
Flexural Waves ◽  
Thin Elastic Plates

scholarly journals Self-dual singularity through lasing and antilasing in thin elastic plates

2021 ◽  
Vol 103 (13) ◽  
Author(s):  
M. Farhat ◽  
P.-Y. Chen ◽  
S. Guenneau ◽  
Y. Wu
Keyword(s):  
Elastic Plates ◽  
Thin Elastic Plates

scholarly journals Spacetime modulation in floating thin elastic plates

2021 ◽  
Vol 104 (1) ◽  
Author(s):  
Mohamed Farhat ◽  
Sebastien Guenneau ◽  
Pai-Yen Chen ◽  
Ying Wu
Keyword(s):  
Elastic Plates ◽  
Thin Elastic Plates

Stability of Thin Elastic Plates Covering an Arbitrary Simply Connected Region and Subject to any Admissible Boundary Conditions

1953 ◽  
Vol 20 (1) ◽  
pp. 23-29
Author(s):  
G. A. Zizicas
Keyword(s):  
Boundary Conditions ◽  
Direct Method ◽  
Elastic Plates ◽  
Simple Manner ◽  
Particular Solutions ◽  
Isotropic Plates ◽  
Simply Connected Region ◽  
Simply Connected ◽  
A Direct Method ◽  
Thin Elastic Plates

Abstract The Bergman method of solving boundary-value problems by means of particular solutions of the differential equation, which are constructed without reference to the boundary conditions, is applied to the problem of stability of thin elastic plates of an arbitrary simply connected shape and subject to any admissible boundary conditions. A direct method is presented for the construction of particular solutions that is applicable to both anisotropic and isotropic plates. Previous results of M. Z. Krzywoblocki for isotropic plates are obtained in a simple manner.

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