The practical evaluation of stress intensity factors at semi-infinite crack tips

Ioakimidis, NI; Theocaris, PS

dc.contributor.author	Ioakimidis, NI	en
dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:05:52Z
dc.date.available	2014-03-01T01:05:52Z
dc.date.issued	1980	en
dc.identifier.issn	0013-7944	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9045
dc.subject	Stress Intensity Factor	en
dc.subject.classification	Mechanics	en
dc.title	The practical evaluation of stress intensity factors at semi-infinite crack tips	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0013-7944(80)90038-7	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0013-7944(80)90038-7	en
heal.language	English	en
heal.publicationDate	1980	en
heal.abstract	The solution of crack problems in plane or antiplane elasticity can be reduced to the solution of a singular integral equation along the cracks. In this paper the Radau-Chebyshev method of numerical integration and solution of singular integral equations is modified, through a variable transformation, so as to become applicable to the numerical solution of singular integral equations along semi-infinite intervals, as happens in the case of semi-infinite cracks, and the direct determination of stress intensity factors at the crack tips. This technique presents considerable advantages over the analogous technique based on the Gauss-Hermite numerical integration rule. Finally, the method is applied to the problems of (i) a periodic array of parallel semi-infinite straight cracks in plane elasticity, (ii) a similar array of curvilinear cracks, (iii) a straight semi-infinite crack normal to a bimaterial interface in antiplane elasticity and (iv) a similar crack in plane elasticity; in all four applications appropriate geometry and loading conditions have been assumed. The convergence of the numerical results obtained for the stress intensity factors is seen to be very good. © 1980.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Engineering Fracture Mechanics	en
dc.identifier.doi	10.1016/0013-7944(80)90038-7	en
dc.identifier.isi	ISI:A1980JP82400003	en
dc.identifier.volume	13	en
dc.identifier.issue	1	en
dc.identifier.spage	31	en
dc.identifier.epage	42	en