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Approximate construction of a weight function for quarter-elliptical, semi-elliptical and elliptical cracks subjected to normal stresses

✍ Scribed by I.V. Orynyak; M.V. Borodii; V.M. Torop

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 661 KB
Volume: 49
Category: Article
ISSN: 0013-7944
DOI: 10.1016/0013-7944(94)90118-x

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✦ Synopsis

Asymptotic behaviour of weight functions has been analysed for mode I cracks in the shape of an ellipse or part of an ellipse. For internal points of a contour, a well known asymptotic solution is used for a semi-infinite crack with a straight front. An analytical description is suggested for weight function behaviour at the points which are near the intersection of the crack front and the free surface of a body. The general method of approximate construction of a point weight function has been proposed. This method uses the asymptotic behaviour of the weight function itself. To use this method for a given crack, one should know the stress intensity factor K, at any distribution of the crack surface load. The comparison of K, calculated using finite element methods and the proposed method at other load distributions shows the high efficiency of the proposed method.

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