Flat Lens Focusing of Flexural Waves in Thin Plate

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.

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Effect of roughness on subsonic flexural waves in a thin plate overlying a compressible fluid

The Journal of the Acoustical Society of America ◽

10.1121/1.393456 ◽

1986 ◽

Vol 79 (3) ◽

pp. 666-672 ◽

Cited By ~ 1

Author(s):

I. Tolstoy

Keyword(s):

Thin Plate ◽

Compressible Fluid ◽

Flexural Waves

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Scattering of flexural waves from a hole in a thin plate with an internal beam

The Journal of the Acoustical Society of America ◽

10.1121/1.4904551 ◽

2015 ◽

Vol 137 (1) ◽

pp. 293-302 ◽

Cited By ~ 7

Author(s):

A. Climente ◽

Andrew N. Norris ◽

José Sánchez-Dehesa

Keyword(s):

Thin Plate ◽

Flexural Waves

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The scattering of flexural waves by random fractal inhomogeneities in a thin plate

Acoustical Physics ◽

10.1134/1.1403552 ◽

2001 ◽

Vol 47 (5) ◽

pp. 607-610

Author(s):

M. L. Lyamshev

Keyword(s):

Thin Plate ◽

Flexural Waves ◽

Random Fractal

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Flexural Vibration in a Ternary Locally Resonant Phononic Crystal Thin Plate with Defects

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.150-151.1282 ◽

2010 ◽

Vol 150-151 ◽

pp. 1282-1285

Author(s):

Zong Jian Yao ◽

Gui Lan Yu ◽

Yue Sheng Wang ◽

Jian Bao Li

Keyword(s):

Point Defect ◽

Thin Plate ◽

Mass Density ◽

Phononic Crystal ◽

Flexural Vibration ◽

Defect Mode ◽

Expansion Method ◽

Flexural Waves ◽

Filling Fraction ◽

Linear Defects

The improved supercell plane wave expansion method is applied to theoretically study the propagation of flexural waves in a ternary locally resonant phononic crystal thin plate with a point defect and linear defects. The thin concrete plate composed of a square array of steel cylinders hemmed around by rubber is considered here. Absolute band gaps in low frequency are obtained. For the point defect, the defect mode is localized around the defect, and the magnitude of the resonant defect mode is strongly dependent on the defect filling fraction, mass density and Young’s modulus of the defect cylinder. For the straight linear defects, several resonant linear defect bands appear inside the absolute band gap. And the displacement distributions show that the flexural waves could well propagate along the linear defects.

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