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Published September 1, 1969 | Reprint
Journal Article Open

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

Abstract

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.

Additional Information

Copyright © 1969 by ASME. Manuscript received by ASME Applied Mechanics Division, February 6, 1969; final revision, April 24, 1969. Paper No. 69-APMW-12. This work was supported by the National Aeronautics and Space Administration and the Office of Naval Research. Contributed by the Applied Mechanics Division and presented at the Applied Mechanics Western Conference, Albuquerque, N. Mex., August 25-27, 1969, of the American Society of Mechanical Engineers.

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Additional details

Created:
August 19, 2023
Modified:
October 25, 2023