Stresses in a Perforated Wedge

[+] Author and Article Information
Chih-Bing Ling, Chang-Ming Hsu

Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Va.

J. Appl. Mech 40(3), 759-766 (Sep 01, 1973) (8 pages) doi:10.1115/1.3423086 History: Received March 01, 1972; Revised February 01, 1973; Online July 12, 2010


This paper presents a method of solution for an infinite wedge containing a symmetrically located circular hole. The solution is formulated separately according to the given in-plane edge tractions being even or odd with respect to the axis of the wedge. In either case, the stress function is constructed as the sum of four parts of biharmonic functions, two in the form of integrals and the other two in the form of series, in addition to a basic stress function for an otherwise unperforated wedge. The four parts as a whole give no traction along the edges and no stress at infinity of the wedge. Together with the basic stress function, the boundary conditions of no traction at the rim of hole are adjusted. Complex expressions are used in adjusting the boundary conditions. Finally, numerical examples are given for illustration.

Copyright © 1973 by ASME
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