A Star-Shaped Array of Curvilinear Cracks in an Infinite Isotropic Elastic Medium

[+] Author and Article Information
P. S. Theocaris, N. I. Ioakimidis

Department of Theoretical and Applied Mechanics, The National Technical University, Athens, Greece

J. Appl. Mech 44(4), 619-624 (Dec 01, 1977) (6 pages) doi:10.1115/1.3424146 History: Received November 01, 1976; Revised March 01, 1977; Online July 12, 2010


The problem of a symmetrical star-shaped array of curvilinear cracks in an infinite isotropic elastic medium is reduced, by using the complex potential technique of Muskhelishvili [1], to a complex Cauchy-type singular integral equation on one of the cracks together with a complex condition of single-valuedness of displacements. This equation can be solved numerically by reduction to a system of linear equations after application of the Lobatto-Chebyshev numerical integration method for the approximation of the integrals involved in it and an appropriate selection of the points of collocation. An application to some cases of circular-arc-shaped cracks is made.

Copyright © 1977 by ASME
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