The kinked crack solved by Mellin transform

Theocaris, PS; Makrakis, GN

dc.contributor.author	Theocaris, PS	en
dc.contributor.author	Makrakis, GN	en
dc.date.accessioned	2014-03-01T01:06:42Z
dc.date.available	2014-03-01T01:06:42Z
dc.date.issued	1986	en
dc.identifier.issn	0374-3535	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9571
dc.subject	fredholm integral equation	en
dc.subject	Kernel Function	en
dc.subject	mellin transform	en
dc.subject	Stress Field	en
dc.subject	Stress Intensity Factor	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Materials Science, Multidisciplinary	en
dc.subject.classification	Mechanics	en
dc.subject.other	FRACTURE MECHANICS	en
dc.subject.other	MECHANICS - Continuous Media	en
dc.subject.other	STRESSES	en
dc.subject.other	KINKED CRACK	en
dc.subject.other	MELLIN TRANSFORM	en
dc.subject.other	STRESS INTENSITY FACTORS	en
dc.subject.other	MATERIALS	en
dc.title	The kinked crack solved by Mellin transform	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00041764	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00041764	en
heal.language	English	en
heal.publicationDate	1986	en
heal.abstract	The problem of the evaluation of the stress intensity factors (SIF) at a kinked crack-tip is treated by the use of the most appropriate tool for this problem, the Mellin transform technique. The advantage of this technique lies on the validity of the solution everywhere in the stress field and for every length of the branched crack. Since in the limiting case of the kinked crack, numerical difficulties appear in the evaluation of the kernel functions of the corresponding Fredholm integral-equation system, an asymptotic development, with respect to the length of the kinked crack, is constructed for these functions and therefore for the SIFs at the kinked tip. This analysis yields the interesting result that the SIFs at the crack tip tend to vanish as the kinked crack reduces in length, a result which is similar to the already established behavior of the SIFs at an interfacial tip. © 1986 Martinus Nijhoff Publishers.	en
heal.publisher	Martinus Nijhoff, The Hague/Kluwer Academic Publishers	en
heal.journalName	Journal of Elasticity	en
dc.identifier.doi	10.1007/BF00041764	en
dc.identifier.isi	ISI:A1986F478300006	en
dc.identifier.volume	16	en
dc.identifier.issue	4	en
dc.identifier.spage	393	en
dc.identifier.epage	411	en