A higher-order approximation for the T-criterion of fracture in biaxial fields

Theocaris, PS

dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:06:14Z
dc.date.available	2014-03-01T01:06:14Z
dc.date.issued	1984	en
dc.identifier.issn	0013-7944	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9245
dc.subject	Higher Order	en
dc.subject.classification	Mechanics	en
dc.subject.other	FRACTURE MECHANICS	en
dc.title	A higher-order approximation for the T-criterion of fracture in biaxial fields	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0013-7944(84)90144-9	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0013-7944(84)90144-9	en
heal.language	English	en
heal.publicationDate	1984	en
heal.abstract	The T-criterion of fracture is based on the principle that crack propagates when the maximum value of the distribution of the dilatational component of strain energy density Tv, evaluated along contour lines of constant distortional energy density TD around the crack tip, attains a limiting value Tvo The angle of this maximum defines also the direction of initiation of crack propagation. Then, the study of the distribution of Tv around the crack tip presents a special interest for understanding mechanisms of fracture. In this investigation an exhaustive theoretical analysis of the distribution of tv-component around the tip of crack under in-plane modes of loading was undertaken. The Tv-distribution was evaluated along the elastic-plastic boundary, developed around the crack tip for impending plasticity, according to the Mises yield condition (TD = TD0 = const.). The mode of loading of the cracked plate was assumed biaxial with different biaxiality ratios k and a two-term approximation for the respective complex stress function was considered, according to the studies of Liebowitz et al.[1], instead of only the singular term considered up-to-now. It was found that the Tv-distribution along the Mises initial elastic-plastic boundary presents always a maximum in front of the crack tip, whose position and magnitude depend on the biaxiality factor k and the angle of loading β. The position and the magnitude of this maximum for the two-term approximation of φ(z) showed differences in some regions with the respective values for the singular solution. © 1984.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Engineering Fracture Mechanics	en
dc.identifier.doi	10.1016/0013-7944(84)90144-9	en
dc.identifier.isi	ISI:A1984SZ92000001	en
dc.identifier.volume	19	en
dc.identifier.issue	6	en
dc.identifier.spage	975	en
dc.identifier.epage	991	en