A method is described for obtaining an exact transient solution to the problem of an elastic half space whose surface is excited by a semi-infinite line load. The load acts normal to the surface of the half space and it has impulsive time-dependence. The resulting displacement field is discussed.
Transient Motion of an Elastic Half Space Due to a Semi-Infinite Surface Line Load
D. C. Gakenheimer
The RAND Corporation, Santa Monica, Calif.
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Gakenheimer, D. C. (March 1, 1970). "Transient Motion of an Elastic Half Space Due to a Semi-Infinite Surface Line Load." ASME. J. Appl. Mech. March 1970; 37(1): 205–207. https://doi.org/10.1115/1.3408441
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