Periodic Array of Cracks in a Half-Plane Subjected to Arbitrary Loading

[+] Author and Article Information
H. F. Nied

General Electric Company, Corporate Research and Development, Schenectady, NY 12301

J. Appl. Mech 54(3), 642-648 (Sep 01, 1987) (7 pages) doi:10.1115/1.3173082 History: Received March 19, 1986; Revised February 06, 1987; Online July 21, 2009


The plane elastic problem for a periodic array of cracks in a half-plane subjected to equal, but otherwise arbitrary normal crack surface tractions is examined. The mixed boundary value problem, which is formulated directly in terms of the crack surface displacements, results in a hypersingular integral equation in which the unknown function is the crack opening displacement. Based on the theory of finite part integrals, a least squares numerical algorithm is employed to efficiently solve the singular integral equation. Numerical results include crack opening displacements, stress intensity factors, and Green’s functions for the entire range of possible periodic crack spacing.

Copyright © 1987 by ASME
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