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

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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


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