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.

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.

Nonuniformly Moving Loads on an Anisotropic Elastic Half-Space

2003 ◽  
Vol 19 (1) ◽  
pp. 217-224
Author(s):  
Kuang-Chong Wu
Keyword(s):  
Half Space ◽  
Moving Load ◽  
Constant Load ◽  
Elastic Half Space ◽  
Reciprocal Theorem ◽  
Line Load ◽  
Surface Displacements ◽  
Anisotropic Elastic ◽  
The Reciprocal Theorem ◽  
Rayleigh Wave Speed

ABSTRACTThe transient motion in an anisotropic elastic half-space due to a moving surface line load is considered. The load is applied suddenly on the surface and moves off in a fixed direction with nonuniform speed. Integral expressions for the displacements are derived using the reciprocal theorem. The waves generated by the moving load are discussed. Special attention is paid to the singularities in surface displacements generated as the load moves through the Rayleigh wave speed. Explicit expression is obtained for the particle velocity due to a constant load moving with constant speed.

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