Asymmetric Wave Propagation in an Elastic Half-Space by a Method of Potentials

1987 ◽  
Vol 54 (1) ◽  
pp. 121-126 ◽  
Author(s):  
R. Y. S. Pak
Keyword(s):  
Wave Propagation ◽  
Dynamic Response ◽  
Half Space ◽  
Elastic Half Space ◽  
Displacement Potential ◽  
Uniform Distributions ◽  
Time Harmonic ◽  
Method Of Potentials ◽  
Transformed Stress ◽  
Asymmetric Wave

A method of potentials is presented for the derivation of the dynamic response of an elastic half-space to an arbitrary, time-harmonic, finite, buried source. The development includes a set of transformed stress-potential and displacement-potential relations which are apt to be useful in a variety of wave propagation problems. Specific results for an embedded source of uniform distributions are also included.

Dynamic response of an elastic half-space to time-dependent surface tractions over an embedded spherical cavity. III (With comments on a paper by R. D. Gregory)

1969 ◽  
Vol 309 (1498) ◽  
pp. 313-329 ◽  
Keyword(s):  
Dynamic Response ◽  
Half Space ◽  
Rayleigh Waves ◽  
Spherical Cavity ◽  
Elastic Half Space ◽  
Time Dependent ◽  
Plane Boundary ◽  
Surface Motion ◽  
Harmonic Solution ◽  
Time Harmonic

Discussion of the problem of an elastic half-space with spherical cavity is continued in respect of Rayleigh waves on the plane boundary. Displacements in the initial and first group of higher order Rayleigh waves are derived by using the time-harmonic solution developed in part I of this series with attention confined to the case of time-harmonic normal stress at the cavity. These are employed to find also the response to an exponential shock at the cavity and graphs are presented showing the surface motion due to the initial Rayleigh waves. Finally, in an appendix to the paper, some comments are given on a recent paper by R. D. Gregory on the problem of the half-space with cavity.

Guided Surface Waves on an Elastic Half Space

1971 ◽  
Vol 38 (4) ◽  
pp. 899-905 ◽  
Author(s):  
L. B. Freund
Keyword(s):  
Wave Propagation ◽  
Surface Wave ◽  
Surface Waves ◽  
Half Space ◽  
Body Wave ◽  
Three Dimensional ◽  
Elastic Half Space ◽  
Normal Displacement ◽  
Rigid Barrier ◽  
Wave Disturbances

Three-dimensional wave propagation in an elastic half space is considered. The half space is traction free on half its boundary, while the remaining part of the boundary is free of shear traction and is constrained against normal displacement by a smooth, rigid barrier. A time-harmonic surface wave, traveling on the traction free part of the surface, is obliquely incident on the edge of the barrier. The amplitude and the phase of the resulting reflected surface wave are determined by means of Laplace transform methods and the Wiener-Hopf technique. Wave propagation in an elastic half space in contact with two rigid, smooth barriers is then considered. The barriers are arranged so that a strip on the surface of uniform width is traction free, which forms a wave guide for surface waves. Results of the surface wave reflection problem are then used to geometrically construct dispersion relations for the propagation of unattenuated guided surface waves in the guiding structure. The rate of decay of body wave disturbances, localized near the edges of the guide, is discussed.

Dynamic Response of Plate on Elastic Half-Space

1982 ◽  
Vol 108 (1) ◽  
pp. 133-154 ◽  
Author(s):  
William L. Whittaker ◽  
Paul Christiano
Keyword(s):  
Dynamic Response ◽  
Half Space ◽  
Elastic Half Space

Dynamic response of an elastic half-space to time-dependent surface tractions over an embedded spherical cavity. IV

1969 ◽  
Vol 309 (1498) ◽  
pp. 331-344
Keyword(s):  
Dynamic Response ◽  
Half Space ◽  
Liquid Layer ◽  
Spherical Cavity ◽  
Elastic Half Space ◽  
Time Dependent ◽  
Stoneley Waves ◽  
Solid Interface

The effect of a liquid layer overlying a solid half-space excited by harmonically varying stresses on the surface of an embedded spherical cavity is examined. The Stoneley waves along the liquid/solid interface are studied in some detail. The results are then extended to the case of an exponential shock.

Stress Wave Propagation in a Coated Elastic Half-Space due to Water Drop Impact

2000 ◽  
Vol 68 (2) ◽  
pp. 346-348 ◽  
Author(s):  
Hyun-Sil Kim ◽  
Jae-Seung Kim ◽  
Hyun-Ju Kang ◽  
Sang-Ryul Kim
Keyword(s):  
Wave Propagation ◽  
Half Space ◽  
Stress Wave ◽  
Coating Thickness ◽  
Water Drop ◽  
Elastic Half Space ◽  
Drop Impact ◽  
Stress Wave Propagation ◽  
Singular Behavior ◽  
Reflected Waves

Stress wave propagation in a coated elastic half-space due to water drop impact is studied by using the Cagniard-de Hoop method. The stresses have singularity at the Rayleigh wavefront whose location and singular behavior are determined from the pressure model and independent of the coating thickness, while reflected waves cause minor changes in amplitudes.

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