The exact form and properties of the deformed transverse internal elastic crack

Theocaris, PS

dc.contributor.author	Theocaris, PS	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	0013-7944	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9567
dc.subject.classification	Mechanics	en
dc.subject.other	MATERIALS - Crack Propagation	en
dc.subject.other	MATHEMATICAL TECHNIQUES - Geometry	en
dc.subject.other	DEFORMED CRACKS	en
dc.subject.other	INTERNAL OBLIQUE CRACK	en
dc.subject.other	STRESS CONCENTRATION	en
dc.subject.other	PLATES	en
dc.title	The exact form and properties of the deformed transverse internal elastic crack	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0013-7944(86)90096-2	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0013-7944(86)90096-2	en
heal.language	English	en
heal.publicationDate	1986	en
heal.abstract	The exact shape and properties of an internal transverse crack in an infinite plate under conditions of plane stress submitted to a biaxial normal loading at infinity are presented. The shape of the deformed Griffith crack as this was defined by the exact theoretical solution of the problem is an ellipse whose properties depend on the mode of loading of the plate and its mechanical properties. This result is different to the result arising from the respective singular and two-term solutions, which define a parabolic shape for the deformed crack. Furthermore, while the singular solution implies that the tip of the crack remains undisplaced during loading, the two-term and the exact solutions define its displacement, which is the same for both cases. In this way the two-term solution constitutes an intermediate case, which at the crack tip coincides with the exact solution, whereas at the middle of the crack coincides with the singular solution. Interesting results and comparisons were also derived for the curvature of the deformed crack at its tip, which was shown to differ considerably according to the different solutions. © 1986.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Engineering Fracture Mechanics	en
dc.identifier.doi	10.1016/0013-7944(86)90096-2	en
dc.identifier.isi	ISI:A1986A905500007	en
dc.identifier.volume	23	en
dc.identifier.issue	5	en
dc.identifier.spage	851	en
dc.identifier.epage	862	en