Crack kinking in anti-plane shear solved by the Mellin transform

Theocaris, PS; Makrakis, G

dc.contributor.author	Theocaris, PS	en
dc.contributor.author	Makrakis, G	en
dc.date.accessioned	2014-03-01T01:06:51Z
dc.date.available	2014-03-01T01:06:51Z
dc.date.issued	1987	en
dc.identifier.issn	03769429	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9624
dc.subject	Asymptotic Expansion	en
dc.subject	fredholm integral equation	en
dc.subject	Integral Equation	en
dc.subject	mellin transform	en
dc.subject	Stress Intensity Factor	en
dc.subject	Second Order	en
dc.subject.other	MATHEMATICAL TECHNIQUES - Integral Equations	en
dc.subject.other	STRESSES - Shear	en
dc.subject.other	BI-PHASE MATERIALS	en
dc.subject.other	INTEGRAL TRANSFORMS	en
dc.subject.other	KINKED CRACKS	en
dc.subject.other	PLATES	en
dc.title	Crack kinking in anti-plane shear solved by the Mellin transform	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00013081	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00013081	en
heal.publicationDate	1987	en
heal.abstract	The problem of kinking of internal cracks in infinite plates submitted to antiplane shear at infinity was solved by using the Mellin transform. This transform allows a straightforward reduction of it to a system of second order Fredholm integral equations for a pair of functions in terms of which the stress intensity factors at the crack tips may be calculated. Of great interest and of equivocal views is the regime at the vicinity of the corner, the region where the kink is nucleated, and which reflects numerical difficulties arising in the solution of the integral equations. For this purpose an asymptotic expansion is constructed for their kernels and subsequently for the values of SIFs with respect to the length ε of the kinked branch. The analysis yielded results which were physically sound, but differing fundamentally with those existing in the literature. These results were in agreement with those obtained for an in-plane loading of the cracks and for cracks in bi-phase materials whose tips are on the interface of the phases. © 1987 Martinus Nijhoff Publishers.	en
heal.publisher	Kluwer Academic Publishers	en
heal.journalName	International Journal of Fracture	en
dc.identifier.doi	10.1007/BF00013081	en
dc.identifier.volume	34	en
dc.identifier.issue	4	en
dc.identifier.spage	251	en
dc.identifier.epage	262	en