A Method of Solution for the Elastic Quarter-Plane

[+] Author and Article Information
M. Hetényi

The Technological Institute, Northwestern University, Evanston, Ill.

J. Appl. Mech 27(2), 289-296 (Jun 01, 1960) (8 pages) doi:10.1115/1.3643954 History: Received April 21, 1959; Online September 16, 2011


It is shown in this paper that for given loads on the elastic quarter-plane the prescribed boundary conditions can be fulfilled by repeated superposition of known solutions for the elastic half-plane. This leads to a sequence of infinite integrals of a simple recursion pattern. The solution is exact, since the sequence may be continued to obtain any required accuracy. Solutions are derived in this manner for three types of boundary loads: (a) concentrated normal force, (b) concentrated tangential force, and (c) partially distributed uniform loading.

Copyright © 1960 by ASME
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