Unconventional Internal Cracks, Part 2: Method of Generating Simple Cracks

[+] Author and Article Information
C. H. Wu

Department of Materials Engineering, University of Illinois at Chicago Circle, Box 4348, Chicago, Ill. 60680

J. Appl. Mech 49(2), 383-388 (Jun 01, 1982) (6 pages) doi:10.1115/1.3162098 History: Received August 01, 1981; Online July 21, 2009


The meaning of the word crack is extended to include holes with cusps of vanishing cusp angle. A crack is said to be simple if the associated elasticity problem has a closed-form solution. Many classes of simple cracks are constructed and solved in this two-part paper. In particular, a method of constructing very sharp cusps is described. These cusps possess not only a zero slope (zero cusp angle) but a vanishing curvature as well. In fact, a crack may be constructed in such a way that the first N derivatives are all zero.

Copyright © 1982 by ASME
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