Weakening of an Elastic Solid by a Rectangular Array of Cracks

[+] Author and Article Information
W. R. Delameter

Sandia Laboratories, Livermore, Calif.

G. Herrmann, D. M. Barnett

Department of Applied Mechanics, Stanford University, Stanford, Calif.

J. Appl. Mech 42(1), 74-80 (Mar 01, 1975) (7 pages) doi:10.1115/1.3423557 History: Received June 01, 1974; Online July 12, 2010


An infinite elastic solid containing a doubly periodic rectangular array of slitlike cracks is considered. The solid is subjected to a uniform stress resulting in a state of plane strain. The cracks are represented as suitable distributions of dislocations which are determined from a singular integral equation. This equation is solved numerically in an efficient manner using an expansion of the nonsingular part of the kernel in a series of Chebyshev polynomials. Values of the stress-intensity factors are presented, as well as the change in strain energy due to the presence of the cracks. Also, the effective elastic constants of a sheet having a rectangular array of cracks are given as functions of the crack spacing.

Copyright © 1975 by ASME
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