The surface displacements of an elastic half-space subjected to uniform tangential tractions applied on a circular area

2019 ◽  
Vol 73 ◽  
pp. 137-143 ◽  
Author(s):  
N. Menga ◽  
G. Carbone
Keyword(s):  
Half Space ◽  
Elastic Half Space ◽  
Circular Area ◽  
Surface Displacements

scholarly journals A note on dynamic surface displacements in an elastic half-space

1973 ◽  
Vol 17 (1-2) ◽  
pp. 145-152 ◽  
Author(s):  
O. F. Afandi ◽  
R. A. Scott
Keyword(s):  
Half Space ◽  
Elastic Half Space ◽  
Dynamic Surface ◽  
Surface Displacements

scholarly journals Surface Displacements due to a Steadily Moving Point Force

1996 ◽  
Vol 63 (2) ◽  
pp. 245-251 ◽  
Author(s):  
J. R. Barber
Keyword(s):  
Closed Form ◽  
Half Space ◽  
Elastic Half Space ◽  
Point Force ◽  
Two Dimensional ◽  
Normal Surface ◽  
Displacement Fields ◽  
Linear Superposition ◽  
Surface Displacements ◽  
Stress And Displacement Fields

Closed-form expressions are obtained for the normal surface displacements due to a normal point force moving at constant speed over the surface of an elastic half-space. The Smirnov-Sobolev technique is used to reduce the problem to a linear superposition of two-dimensional stress and displacement fields.

Impact of a Rigid Body on an Elastic Half Space

1977 ◽  
Vol 44 (2) ◽  
pp. 227-230 ◽  
Author(s):  
G. N. Bycroft
Keyword(s):  
Steady State ◽  
Rigid Body ◽  
Half Space ◽  
Frequency Factor ◽  
Elastic Half Space ◽  
Rigid Plate ◽  
Fourier Synthesis ◽  
Satisfactory Solution ◽  
Circular Area

A Fourier synthesis of the steady-state vibrations of a rigid plate on an elastic half space is used to determine the deceleration and penetration of a rigid body impacting an elastic half space over a flat circular area. In order to obtain a satisfactory solution, it is necessary to integrate to a large value of the frequency factor. The theoretical values are compared with some simple experiments on lead and Neoprene.

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

1967 ◽  
Vol 300 (1461) ◽  
pp. 159-186
Keyword(s):  
Half Space ◽  
Spherical Cavity ◽  
Elastic Half Space ◽  
Body Waves ◽  
Time Dependent ◽  
Plane Boundary ◽  
Cavity Surface ◽  
Surface Displacements ◽  
Approximate Expressions ◽  
General Time

The general solution for the wave propagation in an elastic half-space containing a spherical cavity obtained in an earlier paper is worked out in detail in the case of a compressional force of excitation over the cavity surface. Explicit approximate expressions are derived for the displacements due to the direct and the reflected body waves as far as terms representing waves arising from not more than three reflexions. As an example of more general time-dependence, the case of an exponentially decaying shock exciting the cavity surface is discussed and the results are illustrated by graphs showing the variation of the surface displacements at three selected points of the plane boundary.

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