Impulse Response of Elastic Half-Space in the Wave Number–Time Domain
Publication: Journal of Engineering Mechanics
Volume 130, Issue 10
Abstract
This paper presents formulas for the response functions in the mixed wave number–time domain for a homogeneous, elastic half-space subjected to impulsive, spatially harmonic sources on its surface. These functions are useful when obtaining the wave field in a half space elicited by dynamic surface sources of arbitrary spatial distribution on the surface, in either two or three dimensions. The formulas in this paper are obtained by contour integration of the Green’s functions in the frequency–wave number domain. The correctness and accuracy of these solutions is then assessed by comparison with the results of the well-known transient response functions for suddenly applied loads in both two and three dimensions.
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Copyright © 2004 ASCE.
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Published online: Oct 1, 2004
Published in print: Oct 2004
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