Diffraction of a monochromatic plane shear wave on a reinforced cylindrical cavity in an elastic half-space

1993 ◽  
Vol 65 (1) ◽  
pp. 1420-1425
Author(s):  
A. R. Snitser
Keyword(s):  
Shear Wave ◽  
Half Space ◽  
Cylindrical Cavity ◽  
Elastic Half Space ◽  
Plane Shear

scholarly journals Dynamic Stress and Displacement in an Elastic Half-Space with a Cylindrical Cavity

2011 ◽  
Vol 18 (6) ◽  
pp. 827-838 ◽  
Author(s):  
İ. Coşkun ◽  
H. Engin ◽  
A. Özmutlu
Keyword(s):  
Free Surface ◽  
Boundary Conditions ◽  
Half Space ◽  
Cylindrical Cavity ◽  
Circular Cross Section ◽  
Elastic Half Space ◽  
Least Square ◽  
Polar Coordinates ◽  
Wave Number ◽  
Forcing Function

The dynamic response of an elastic half-space with a cylindrical cavity in a circular cross-section is analyzed. The cavity is assumed to be infinitely long, lying parallel to the plane-free surface of the medium at a finite depth and subjected to a uniformly distributed harmonic pressure at the inner surface. The problem considered is one of plain strain, in which it is assumed that the geometry and material properties of the medium and the forcing function are constant along the axis of the cavity. The equations of motion are reduced to two wave equations in polar coordinates with the use of Helmholtz potentials. The method of wave function expansion is used to construct the displacement fields in terms of the potentials. The boundary conditions at the surface of the cavity are satisfied exactly, and they are satisfied approximately at the free surface of the half-space. Thus, the unknown coefficients in the expansions are obtained from the treatment of boundary conditions using a collocation least-square scheme. Numerical results, which are presented in the figures, show that the wave number (i.e., the frequency) and depth of the cavity significantly affect the displacement and stress.

ANALYTICAL MODEL FOR THE SCATTERING OF AN OBLIQUELY INCIDENT PLANE SHEAR WAVE FROM A CYLINDRICAL CAVITY

2010 ◽  
Author(s):  
John C. Aldrin ◽  
Mark Blodgett ◽  
Gary Steffes ◽  
Eric A. Lindgren ◽  
Donald O. Thompson ◽  
...  
Keyword(s):  
Shear Wave ◽  
Analytical Model ◽  
Cylindrical Cavity ◽  
Plane Shear ◽  
Obliquely Incident ◽  
Incident Plane
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