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

Gakenheimer, D. C. and Miklowitz, J. (1969) Transient Excitation of an Elastic Half Space by a Point Load Traveling on the Surface. Journal of Applied Mechanics, 36 (3). pp. 505-515. ISSN 0021-8936. doi:10.1115/1.3564708.

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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.

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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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Office of Naval Research (ONR)UNSPECIFIED
Subject Keywords:Stress, Elastic half space, Waves, Displacement, Steady state
Issue or Number:3
Record Number:CaltechAUTHORS:20151125-110852670
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:62429
Deposited On:25 Nov 2015 19:19
Last Modified:10 Nov 2021 23:02

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