Transient Excitation of an Elastic Half Space by a Point Load Traveling on the Surface

[+] Author and Article Information
D. C. Gakenheimer, J. Miklowitz

California Institute of Technology, Pasadena, Calif.

J. Appl. Mech 36(3), 505-515 (Sep 01, 1969) (11 pages) doi:10.1115/1.3564708 History: Received February 06, 1969; Revised April 24, 1969; Online September 14, 2011


The propagation of transient waves in a homogeneous, isotropic, linearly elastic half space excited by a traveling normal point load is investigated. The load is suddenly applied and then it moves rectilinearly at a constant speed along the free surface. The displacements are derived for the interior of the half space and for all load speeds. Wave-front expansions are obtained from the exact solution, in addition to results pertaining to the steady-state displacement field. The limit case of zero load speed is considered, yielding new results for Lamb’s point load problem.

Copyright © 1969 by ASME
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