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

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. 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.

Dynamic response of a pile embedded in elastic half space subjected to harmonic vertical loading

2017 ◽  
Vol 30 (6) ◽  
pp. 668-673 ◽  
Author(s):  
Changjie Zheng ◽  
Shishun Gan ◽  
Xuanming Ding ◽  
Lubao Luan
Keyword(s):  
Dynamic Response ◽  
Half Space ◽  
Elastic Half Space ◽  
Vertical Loading

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.

The Dynamic Response of an Elastic Half Space With an Overlying Acoustic Fluid

1976 ◽  
Vol 43 (1) ◽  
pp. 39-42 ◽  
Author(s):  
B. E. Bennett ◽  
G. Herrmann
Keyword(s):  
Dynamic Response ◽  
Half Space ◽  
Elastic Solid ◽  
Elastic Half Space ◽  
Plane Interface ◽  
Dynamic Problems ◽  
Normal Loading ◽  
The Past ◽  
Method Of Solution ◽  
Acoustic Fluid

A class of dynamic problems involving a semi-infinite elastic solid with an overlying semi-infinite acoustic fluid, subjected at the plane interface to arbitrary normal loading is investigated. A method of solution is proposed which reduces the class of problems under study to that in which the fluid is absent. This latter class has received considerable consideration in the past. A specific example is presented for an expanding disk-shaped load including numerical results for the subseismic range.

Dynamic Response of a Hemispherical Foundation Embedded in an Elastic Half-Space

1998 ◽  
Vol 120 (4) ◽  
pp. 343-348 ◽  
Author(s):  
C.-S. Yeh ◽  
T.-J. Teng ◽  
W.-I. Liao
Keyword(s):  
Dynamic Response ◽  
Half Space ◽  
Ground Surface ◽  
Integral Equation Method ◽  
Elastic Half Space ◽  
Least Square ◽  
Sh Waves ◽  
Soil Foundation ◽  
External Forces ◽  
Impedance Functions

The dynamic response of a massless rigid hemispherical foundation embedded in a uniform homogeneous elastic half-space is considered in this study. The foundation is subjected to external forces, moments, plane harmonic P and SH waves, respectively. The series solutions are constructed by three sequences of Lamb’s singular solutions which satisfy the traction-free conditions on ground surface and radiation conditions at infinity, automatically, and their coefficients are determined by the boundary conditions along the soil-foundation interface in the least square sense. The fictitious eigen-frequencies, which arise in integral equation method, will not appear in the numerical calculation by the proposed method. The impedance functions which characterize the response of the foundation to external harmonic forces and moments at low and intermediate frequencies are calculated and the translational and rocking responses of the foundation when subjected to plane P and SH waves are also presented and discussed in detail.

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