Response of a Semi-Infinite Elastic Solid to an Arbitrary Line Load Along the Axis

[+] Author and Article Information
G. L. Agrawal, W. G. Gottenberg

Department of Mechanical Engineering, University of Colorado, Boulder, Colo.

J. Appl. Mech 38(4), 906-910 (Dec 01, 1971) (5 pages) doi:10.1115/1.3408974 History: Received May 18, 1970; Revised August 31, 1970; Online July 12, 2010


The axisymmetric problem of a line load acting along the axis of a semi-infinite elastic solid is solved using Hankel transforms. In this solution the line load is interpreted as a body force loading and by assuming the line load to be of the form of a Dirac delta function the solution of Mindlin’s problem of a point load within the interior of the half space is obtained. Solutions of this problem presented in the literature have been obtained using semi-inverse techniques whereas the solution given here is obtained in a systematic step-by-step manner.

Copyright © 1971 by ASME
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