Elastic overlapping of the crack flanks under mixed-mode loading

Pazis, D; Theocaris, PS; Konstantellos, B

dc.contributor.author	Pazis, D	en
dc.contributor.author	Theocaris, PS	en
dc.contributor.author	Konstantellos, B	en
dc.date.accessioned	2014-03-01T01:07:08Z
dc.date.available	2014-03-01T01:07:08Z
dc.date.issued	1988	en
dc.identifier.issn	03769429	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9817
dc.subject	Exact Solution	en
dc.subject	Mixed Mode	en
dc.subject	Linear Elastic Fracture Mechanics	en
dc.subject.other	ELASTICITY	en
dc.subject.other	FRACTURE MECHANICS	en
dc.subject.other	MATHEMATICAL TECHNIQUES - Boundary Value Problems	en
dc.subject.other	STRESSES - Shear	en
dc.subject.other	MIXED-MODE LOADING	en
dc.subject.other	PLANE CRACK PROBLEMS	en
dc.subject.other	SINGULAR STRESS FIELDS	en
dc.subject.other	PLATES	en
dc.title	Elastic overlapping of the crack flanks under mixed-mode loading	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00032535	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00032535	en
heal.publicationDate	1988	en
heal.abstract	The properties of an inclined Griffith crack in an infinite elastic plate submitted to a biaxial loading at infinity, due to the deformation of the crack flanks according to the one-term approximation, usually applied in linear elastic fracture mechanics, and the two-term approximation, were compared with the respective properties developed according to the exact solution. It has been shown that there are significant differences between the exact and the approximate solutions. Thus the one-term approximation, the so-called ""singular solution"", predicts immovable crack tips, no angular displacement of the deformed crack flanks and therefore is in general inadequate for the accurate description of the mixed-mode deformed crack, and which therefore cannot be made only in terms of the two components of the stress intensity factor. The two-term approximation, which constitutes an intermediate case between the exact and the singular solution, is in better agreement with the exact solution at the vicinity of the crack tips. The mode of displacement of the crack flanks creates their eventual overlapping, depending on the relationship between normal and shear loading of the plate. This overlapping phenomenon was systematically investigated. Mode-II deformation always develops overlapping of the crack flanks, thus violating the initial boundary values of the posed problem, and therefore necessitates a different mode of attack and a realistic consideration of the initial boundary conditions. This is contrary to what the singular solution yields, which imposes for mode-II cracks only a contact of the crack lips without any overlapping and allows therefore eventually sliding phenomena, which are fictitious © 1988 Kluwer Academic Publishers.	en
heal.publisher	Kluwer Academic Publishers	en
heal.journalName	International Journal of Fracture	en
dc.identifier.doi	10.1007/BF00032535	en
dc.identifier.volume	37	en
dc.identifier.issue	4	en
dc.identifier.spage	303	en
dc.identifier.epage	319	en