The Plane Solution for Anisotropic Elastic Wedges Under Normal and Shear Loading

[+] Author and Article Information
D. B. Bogy

Department of Mechanical Engineering, University of California, Berkeley, Calif.

J. Appl. Mech 39(4), 1103-1109 (Dec 01, 1972) (7 pages) doi:10.1115/1.3422837 History: Received February 22, 1971; Online July 12, 2010


The plane traction problem for an anisotropic wedge is solved within the theory of linear elastostatics. The technique employs the complex function representation of the plane solution in conjunction with the Mellin transform. Special attention is given to the orthotropic wedge; the uniform load solution is given in terms of elementary functions for wedge angles less than π, the logarithmic singularities in the stress field resulting from discontinuous loads on the half plane are studied, and the stress singularity at the apex is investigated for the reentrant wedges. Simplified results for the anisotropic half plane and cracked full plane are also presented.

Copyright © 1972 by ASME
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