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 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.

scholarly journals Mathematical Modeling of Torsional Surface Wave Propagation in a Non-Homogeneous Transverse Isotropic Elastic Solid Semi-Infinite Medium Under a Layer

2017 ◽  
Vol 22 (2) ◽  
pp. 415-426
Author(s):  
M. Sethi ◽  
A. Sharma ◽  
A. Vasishth
Keyword(s):  
Mathematical Modeling ◽  
Surface Waves ◽  
Half Space ◽  
Elastic Solid ◽  
Elastic Half Space ◽  
Complete Agreement ◽  
Rigid Layer ◽  
Transverse Isotropic ◽  
Separation Of Variable ◽  
Torsional Surface Waves

AbstractThe present paper deals with the mathematical modeling of the propagation of torsional surface waves in a non-homogeneous transverse isotropic elastic half-space under a rigid layer. Both rigidities and density of the half-space are assumed to vary inversely linearly with depth. Separation of variable method has been used to get the analytical solutions for the dispersion equation of the torsional surface waves. Also, the effects of nonhomogeneities on the phase velocity of torsional surface waves have been shown graphically. Also, dispersion equations have been derived for some particular cases, which are in complete agreement with some classical results.

Penetration of a Half Space by a Rectangular Cylinder

1979 ◽  
Vol 46 (3) ◽  
pp. 587-591 ◽  
Author(s):  
A. Cemal Eringen ◽  
F. Balta
Keyword(s):  
Half Space ◽  
Stress Singularity ◽  
Elastic Solid ◽  
Interatomic Interaction ◽  
Elastic Half Space ◽  
Rigid Block ◽  
Field Equations ◽  
Displacement Fields ◽  
Rectangular Cylinder ◽  
Stress And Displacement Fields

The stress and displacement fields are determined in an elastic half space loaded by a rectangular frictionless, rigid block normally at its surface. The semi-infinite solid is considered to be an elastic solid with nonlocal interatomic interaction. The field equations of the nonlocal elasticity and boundary conditions are employed to treat this contact problem. Interestingly the classical stress singularity at the edges of the block are not present in the nonlocal solutions. Consequently the critical applied load for the initiation of penetration of the rigid cylinder into the semi-infinite solid can be determined without recourse to any criterion foreign to the theory. The stress field obtained is valid even for penetrators of submicroscopic width.

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