The exact shape of a deformed internal slant crack under biaxial loading

Theocaris, PS; Pazis, D; Konstantellos, BD

dc.contributor.author	Theocaris, PS	en
dc.contributor.author	Pazis, D	en
dc.contributor.author	Konstantellos, BD	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	0376-9429	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9568
dc.subject	Geometric Feature	en
dc.subject	Linear Elasticity	en
dc.subject.classification	Mechanics	en
dc.subject.other	FRACTURE MECHANICS	en
dc.subject.other	MATHEMATICAL MODELS	en
dc.subject.other	STRESSES - Analysis	en
dc.subject.other	BIAXIAL LOADING	en
dc.subject.other	CRACK ORIENTATION	en
dc.subject.other	GRIFFITH CRACK	en
dc.subject.other	INTERNAL SLANT CRACK	en
dc.subject.other	PLATES	en
dc.title	The exact shape of a deformed internal slant crack under biaxial loading	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00034022	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00034022	en
heal.language	English	en
heal.publicationDate	1986	en
heal.abstract	A theoretical investigation has been performed to determine the exact geometrical features of an inclined, biaxially loaded, crack in an infinite elastic plate. It has been shown that the shape of the deformed Griffith crack, as this follows from the exact linear elastic displacement field at the lips of the crack, is always an ellipse in opposition to the singular and two-term solutions which give a parabolic shape for the deformed lips of the crack. The combined effect of the mode of loading, the load biaxiality and the crack orientation on the lengths of the semiaxes of the ellipse, and the orientation of its major axis with respect to the initial crack was studied in detail. It is also shown that in general the positions of the initial crack tips after deformation on the curve of the ellipse do not coincide with the points of the maximum curvature of the ellipse. The case, where the ellipse presents overlapping lips and where the elastic solution becomes invalid, has been examined and the configurations of the problem-parameters for which this phenomenon happens has been established. These important features of the deformed shape of the loaded crack may have a considerable influence on the mode of loading and the behaviour in yielding and fracture of the cracked bodies. © 1986 Martinus Nijhoff Publishers.	en
heal.publisher	Martinus Nijhoff, The Hague/Kluwer Academic Publishers	en
heal.journalName	International Journal of Fracture	en
dc.identifier.doi	10.1007/BF00034022	en
dc.identifier.isi	ISI:A1986A947600004	en
dc.identifier.volume	30	en
dc.identifier.issue	2	en
dc.identifier.spage	135	en
dc.identifier.epage	153	en