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P. Borejko:
"3-D Propagation Effects in an Obliquely Impacted Half-Space";
Poster: 5th World Conference on Computational Mechanics, Vienna, Austria; 2002-07-07 - 2002-07-12.

The propagation of transient waves in an elastic half-space is of practical importance in the field of modern civil engineering. Transient elastic waves in a half-space generated by a concentrated vertical surface force were first studied by Lamb [1] who demonstrated that the largest disturbance (on the surface of an elastic half-space) was the Rayleigh surface wave. Chao [2] gave the formal solution for the displacements generated by an impulsive concentrated force tangential to the surface of a half-space. A new elastodynamic solution for the displacements due to an arbitrarily oriented concentrated force applied at an interior point of an infinite medium has recently been obtained by Borejko [3]. In the present paper, we show that the solution for the surface displacements due to a concentrated force applied obliquely to the surface of a half-space can actually be derived from that given in Ref. [3]. Both tangential and vertical surface displacements are numerically evaluated as a function of time at the receivers having the same radial range from the source but different azimuth angles. The numerical examples show that, in the directions perpendicular to that of the tangential component of the applied force, strong Rayleigh surface waves are absent.