Plane Deformation of the Loaded Straight Edge of a Semi-Infinite Linearly Elastic Body Suspended on a Winkler Layer

[+] Author and Article Information
M. F. Kanninen

Advanced Solid Mechanics Division, Battelle Memorial Institute, Columbus Laboratories, Columbus, Ohio

J. Appl. Mech 37(2), 524-526 (Jun 01, 1970) (3 pages) doi:10.1115/1.3408538 History: Received March 10, 1969; Revised November 28, 1969; Online April 06, 2010


A solution for an edge loaded, semi-infinite elastic solid on an elastic foundation is presented. This solution, arising in the development of a nonlinear atomic model for cleavage crack propagation, was obtained by the Fourier method. Example results are given for a uniform load on a finite interval and for a concentrated force, Fig. 1, in terms of the sine and cosine integral functions and their auxiliary forms.

Copyright © 1970 by ASME
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