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.
Response of a Semi-Infinite Elastic Solid to an Arbitrary Line Load Along the Axis
Agrawal, G. L., and Gottenberg, W. G. (December 1, 1971). "Response of a Semi-Infinite Elastic Solid to an Arbitrary Line Load Along the Axis." ASME. J. Appl. Mech. December 1971; 38(4): 906–910. https://doi.org/10.1115/1.3408974
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