Radial propagation of rotary shear waves in a finitely deformed elastic solid

1974 ◽  
Vol 12 (7) ◽  
pp. 585-596 ◽  
Author(s):  
M. Kurashige
Keyword(s):  
Shear Waves ◽  
Elastic Solid ◽  
Rotary Shear ◽  
Radial Propagation

Radial Propagation of Axial Shear Waves in a Finitely Deformed Elastic Solid

1974 ◽  
Vol 41 (1) ◽  
pp. 83-88 ◽  
Author(s):  
M. Kurashige
Keyword(s):  
Wave Propagation ◽  
Method Of Characteristics ◽  
Shear Waves ◽  
Elastic Solid ◽  
Radial Deformation ◽  
Numerical Examples ◽  
Axial Shear ◽  
Cylindrical Bore ◽  
Basic Equations ◽  
Radial Propagation

A study is made of the radial propagation of axial shear waves in an incompressible elastic solid under finite radial deformation. Basic equations are derived on the basis of Biot’s mechanics of incremental deformations, and analysis is made by the method of characteristics. Numerical examples are given by specializing the initial deformation to two cases: (a) an infinite solid with a cylindrical bore is inflated by all-around tension, and (b) a cuboid is rounded into a ring and its ends are bonded to each other. The influence of the inhomogeneities of such deformations upon the laws of shear wave propagation is presented in the form of curves.

Attenuation of elastic waves in a cracked, fluid-saturated solid

1980 ◽  
Vol 88 (3) ◽  
pp. 547-561 ◽  
Author(s):  
A. K. Chatterjee ◽  
A. K. Mal ◽  
L. Knopoff ◽  
J. A. Hudson
Keyword(s):  
Viscoelastic Material ◽  
Elastic Waves ◽  
Elastic Moduli ◽  
Shear Waves ◽  
Elastic Solid ◽  
Attenuation Coefficients ◽  
Low Frequencies ◽  
Specific Attenuation ◽  
Dynamic Elastic Moduli

AbstractThe problem of the determination of the overall dynamic elastic moduli of an elastic solid permeated by uniformly distributed penny-shaped cracks is considered. The cracks are assumed to be filled with a viscoelastic material. The orientations of the cracks may be either parallel or perfectly random. The overall velocities as well as the specific attenuation coefficients of plane harmonic compressional and shear waves are calculated for low frequencies and dilute concentration of the cracks.

Shear Waves Guided by a Cylindrical Hole in a Finitely Deformed Elastic Solid

1972 ◽  
Vol 39 (3) ◽  
pp. 703-708 ◽  
Author(s):  
M. Kurashige
Keyword(s):  
Phase Velocity ◽  
Small Amplitude ◽  
Shear Waves ◽  
Elastic Solid ◽  
Cylindrical Hole ◽  
Initial Stresses ◽  
Axisymmetric Case ◽  
Infinite Extent ◽  
Cylindrical Bore ◽  
Basic Equations

The present paper deals with the propagation of unattenuated axisymmetric waves of small amplitude guided by a cylindrical bore through a neo-Hookean solid of infinite extent, which is finitely deformed by an all-around tension at infinity. The basic equations for the axisymmetric case are derived on the basis of Biot’s mechanics of incremental deformations, and applied to the problem by using Galerkin’s method. The influence of nonhomogeneous initial stresses upon the phase velocity of shear waves is presented in the form of curves.

A note on infinitesimal shear waves in a finitely deformed elastic solid

1984 ◽  
Vol 22 (7) ◽  
pp. 823-827 ◽  
Author(s):  
R.J. Tait ◽  
J.B. Haddow ◽  
T.B. Moodie
Keyword(s):  
Shear Waves ◽  
Elastic Solid
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