The Problem of Edge Cracks in an Infinite Strip

[+] Author and Article Information
G. D. Gupta, F. Erdogan

Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, Pa.

J. Appl. Mech 41(4), 1001-1006 (Dec 01, 1974) (6 pages) doi:10.1115/1.3423423 History: Received May 01, 1973; Revised February 01, 1974; Online July 12, 2010


The elastostatic plane problem of an infinite strip containing two symmetrically located internal cracks perpendicular to the boundary is formulated in terms of a singular integral equation with the derivative of the crack surface displacement as the density function. The solution of the problem is obtained for various crack geometries and for uniaxial tension applied to the strip away from the crack region. The limiting case of the edge cracks is then considered in some detail. The fundamental function of the integral equation is obtained and a numerical technique for solving the singular integral equations with this particular type of fundamental function which is characteristic of the edge cracks is described. The stress-intensity factor for the complete range of net ligament-to-width ratio 0 ≤ a/h ≤ 1 is calculated. The results also include the solution of the edge crack problem in an elastic half plane.

Copyright © 1974 by ASME
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