Stress-Intensity Factors and Complex Path-Independent Integrals

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

Athens National Technical University, 5 K. Zographou Street, Zographou, Athens 624, Greece

J. Appl. Mech 47(2), 342-346 (Jun 01, 1980) (5 pages) doi:10.1115/1.3153666 History: Received July 01, 1979; Revised October 01, 1979; Online July 21, 2009


Path-independent integrals about crack tips may be used to estimate stress-intensity factors at crack tips in plane and antiplane elasticity problems. In this paper a new class of such integrals is established by using complex stress functions and the trivial application of the Cauchy theorem of complex analysis. Both the simple Westergaard complex potentials of plane and antiplane elasticity and the more general Muskhelishvili complex potentials will be used for the construction of appropriate path-independent integrals. Two applications of these integrals to the theoretical determination of stress-intensity factors at crack tips are presented. An optical method for the experimental determination of stress-intensity factors at crack tips, based on the use of appropriate complex path-independent integrals, is also proposed.

Copyright © 1980 by ASME
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