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An appropriate quadrature rule for the analysis of plane crack problems in the boundary-element method

โœ Scribed by Theotokoglou, E. E. ;Tsamasphyros, G.

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
88 KB
Volume
17
Category
Article
ISSN
1069-8299

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โœฆ Synopsis

Abstract

An hypersingular integral equation of a threeโ€dimensional elastic solid with an embedded planar crack subjected to a uniform stress field at infinity is derived. The solution of the boundaryโ€integral equation is succeeded taking into consideration an appropriate Gauss quadrature rule for finite part integrals which is suitable for the numerical treatment of any plane crack with a smoothโ€contour shape and permit the fast convergence for the results. The problem of a circular and of an elliptical crack in an infinite body subjected to a uniform stress field at infinity is confronted; and the stress intensity factors are calculated. Copyright ยฉ 2001 John Wiley & Sons, Ltd.

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