Displacements and Stresses in a Two-Dimensional Wedge-Shaped Medium

[+] Author and Article Information
Y.-C. Teng, J. T. Kuo

Aldridge Laboratory of Applied Geophysics, Henry Krumb School of Mines, Columbia University, New York, N. Y.

J. Appl. Mech 41(3), 719-724 (Sep 01, 1974) (6 pages) doi:10.1115/1.3423378 History: Received May 01, 1972; Revised November 01, 1973; Online July 12, 2010


This paper deals with two-dimensional wedge problems in elastostatics—a single wedge and a welded multiwedge of arbitrary wedge angles and different elastic constants subjected to an inclined line load on the free surface of the wedge; and a single wedge subjected to an Nth multipole line load on the free surface of the wedge. The general expressions of stresses and displacements are obtained, neglecting body forces, in terms of Papkovitch functions. By satisfying the boundary conditions of the wedge problems, the formal solutions of stresses and displacements are obtained. The stresses and displacements for r < r0 and r > r0 , where r0 is the position of load in r-direction, are evluated separately by means of the residue theorem. As examples, numerical results are obtained for several particular cases.

Copyright © 1974 by ASME
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