Propagation of plane transverse waves along a cylindrical cavity in an incompressible elastic medium with inhomogeneous initial stresses

1992 ◽  
Vol 28 (5) ◽  
pp. 275-284
Author(s):  
F. G. Makhort ◽  
O. G. Miroshnik
Keyword(s):  
Elastic Medium ◽  
Cylindrical Cavity ◽  
Initial Stresses ◽  
Transverse Waves ◽  
Plane Transverse

Diffraction of sound at a large cylindrical cavity inside an elastic medium

1976 ◽  
Vol 12 (3) ◽  
pp. 224-229
Author(s):  
V. E. Chabanov ◽  
Yu. P. Shchev'ev ◽  
L. Ya. Dubovik
Keyword(s):  
Elastic Medium ◽  
Cylindrical Cavity

SCATTERING OF SHEAR WAVES BY SMALL TRANSEISMIC OBSTACLES

Geophysics ◽  
1965 ◽  
Vol 30 (1) ◽  
pp. 24-31 ◽  
Author(s):  
Fred Schwab
Keyword(s):  
External Medium ◽  
Transverse Field ◽  
Directivity Pattern ◽  
Compressional Wave ◽  
Relative Displacement ◽  
Density Contrast ◽  
Transverse Waves ◽  
Plane Transverse ◽  
Scattered Fields ◽  
Direction Of Polarization

Using spherical vector wave functions, the general problem of the scattering of plane transverse waves by a transeismic sphere is formulated. The far‐field result for a small sphere is presented. One part of the scattered field arises from the density contrast between the sphere and the external medium, and another part arises from the rigidity contrast. Each contrast results in a scattered compressional wave having radial displacements, and a transverse wave having displacements parallel to the sphere’s surface. The four fields are represented graphically. The density contrast produces a dipolar compressional field and a toroidal transverse field. The displacements of both are symmetric about a line in the direction of polarization of the incident wave, and are otherwise independent of the direction of incidence. The rigidity contrast produces a quadrupolar compressional field, and a transverse field for which the directivity pattern is given. A model is presented which gives the relative displacement directions of this last field. The scattered fields due to the density contrast behave as though they were due to a pure displacement oscillation of the sphere, and those due to the rigidity contrast as though they were due to a pure distortional oscillation.

Helical normal waves near a cylindrical cavity in an elastic medium

2010 ◽  
Vol 56 (2) ◽  
pp. 141-144 ◽  
Author(s):  
V. V. Tyutekin ◽  
A. I. Boiko
Keyword(s):  
Elastic Medium ◽  
Cylindrical Cavity ◽  
Normal Waves

Scattering of a Plane Transverse Wave by a Spherical Obstacle in an Elastic Medium

1960 ◽  
Vol 31 (5) ◽  
pp. 806-818 ◽  
Author(s):  
Norman G. Einspruch ◽  
E. J. Witterholt ◽  
Rohn Truell
Keyword(s):  
Elastic Medium ◽  
Transverse Wave ◽  
Plane Transverse
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