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Path-independent integrals for the direct determination of stress intensity factors in certain classical crack problems

Abeyaratne, Rohan and Knowles, James K. (1986) Path-independent integrals for the direct determination of stress intensity factors in certain classical crack problems. Journal of Elasticity, 16 (4). pp. 431-440. ISSN 0374-3535. https://resolver.caltech.edu/CaltechAUTHORS:20141103-094347047

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Abstract

Stress intensity factors have been determine directly for certain special crack problems with the help of J or other path-independent integrals. Such procedures have not been used successfully in what are perhaps the most classical of all crack problems: those in two dimensions involving a crack of finite length in an infinite medium with loading at infinity of either Mode I, Mode II or Mode III type. We give a new class of path-independent integrals which are suitable for this purpose.


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http://dx.doi.org/10.1007/BF00041766DOIArticle
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Additional Information:© 1986 Martinus Nijhoff Publishers, Dordrecht. Received 25 February 1985. In a paper of wruch we were unaware, Theocaris and Ioakimidis (10] give various path-independent integrals based on (2.1) and therefore on Cauchy's theorem for analytic functions. Their integrals differ from those given in the present note and are not directly applicable to the problems considered here, in which the loads are applied at infinity. By reducing our Mode I problem to that corresponding to a uniformly pressurized crack, one could determine K 1 by using a result obtained by Theocaris and loakiroidis (see Eq. (31) of (10] through the application of path-independent integrals and the subsequent superposition of concentrated loads. The results described here were obtained while the first author was a Visiting Associate in Applied Mechanics at the California Institute of Technology. Support from the National Science Foundation under Grant MEA 83-19616 is gratefully acknowledged.
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Funding AgencyGrant Number
NSFMEA 83-19616
Issue or Number:4
Record Number:CaltechAUTHORS:20141103-094347047
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20141103-094347047
Official Citation:Abeyaratne, R., & Knowles, J. (1986). Path-independent integrals for the direct determination of stress intensity factors in certain classical crack problems. Journal of Elasticity, 16(4), 431-440. doi: 10.1007/bf00041766
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:51163
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:03 Nov 2014 20:33
Last Modified:03 Oct 2019 07:30

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