scholarly journals Flexural Vibrations and Wave Propagation of an Infinite Thin Elastic Plate with Circular Inclusions : 2nd Report, Cases of a Thin Plate Having Many Circular Elastic Inclusions

1974 ◽  
Vol 40 (329) ◽  
pp. 61-69 ◽  
Author(s):  
Kosuke NAGAYA ◽  
Hideo SAITO
Keyword(s):  
Wave Propagation ◽  
Thin Plate ◽  
Elastic Plate ◽  
Thin Elastic Plate ◽  
Elastic Inclusions ◽  
Flexural Vibrations

Transverse Flexure of a Thin Plate Containing Two Circular Holes

1959 ◽  
Vol 26 (1) ◽  
pp. 55-60
Author(s):  
O. Tamate
Keyword(s):  
Stress Concentration ◽  
Thin Plate ◽  
Elastic Plate ◽  
Equal Size ◽  
Thin Elastic Plate ◽  
Two Circular Holes ◽  
Circular Holes ◽  
Axes Of Symmetry ◽  
Kirchhoff Theory

Abstract The problem of finding stress resultants in a thin elastic plate containing two circular holes of equal size, under plain bending about the axes of symmetry, has been discussed on the basis of the Poisson-Kirchhoff theory. A method of perturbation is adopted for the determination of parametric coefficients involved in the solution. The factors of stress concentration are calculated and compared with the results available.

Wave Propagation in a Micropolar Elastic Plate with Voids

2005 ◽  
Vol 11 (6) ◽  
pp. 849-863 ◽  
Author(s):  
S. K. Tomar
Keyword(s):  
Wave Propagation ◽  
Attenuation Coefficient ◽  
Elastic Material ◽  
Elastic Plate ◽  
Lamb Wave ◽  
Specific Model ◽  
Present Formulation ◽  
Numerical Computations ◽  
Lamb Wave Propagation ◽  
Symmetric And Antisymmetric Modes

Frequency equations are obtained for Rayleigh–Lamb wave propagation in a plate of micropolar elastic material with voids. The thickness of the plate is taken to be finite and the faces of the plate are assumed to be free from stresses. The frequency equations are obtained corresponding to symmetric and antisymmetric modes of vibrations of the plate, and some limiting cases of these equations are discussed. Numerical computations are made for a specific model to solve the frequency equations for symmetric and antisymmetric modes of propagation. It is found that both modes of vibrations are dispersive and the presence of voids has a negligible effect on these dispersion curves. However, the attenuation coefficient is found to be influenced by the presence of voids. The results of some earlier works are also deduced from the present formulation.

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