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

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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

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