On the correspondence between two-and three-dimensional elastic solutions of crack problems

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dc.contributor.authorKotousov, A.G.
dc.contributor.authorHe, Z.
dc.contributor.authorKhanna, A.
dc.contributor.conferenceInternational Conference on Fracture and Damage Mechanics (14 Sep 2016 - 16 Sep 2016 : Alicante, Spain)
dc.contributor.editorToribio, J.
dc.contributor.editorMantic, V.
dc.contributor.editorSaez, A.
dc.contributor.editorAliabadi, M.
dc.date.issued2016
dc.description.abstractThe classical two-dimensional solutions of the theory of elasticity provide a framework of Linear Elastic Fracture Mechanics. However, these solutions, in fact, are approximations despite that the corresponding governing equations of the plane theories of elasticity are solved exactly. This paper aims to elucidate the main differences between the approximate (two-dimensional) and exact (three-dimensional) elastic solutions of crack problems. The latter demonstrates many interesting features, which cannot be analysed within the plane theories of elasticity. These features include the presence of scale effects of deterministic nature, the existence of new singular stress states and fracture modes. Furthermore, the deformation and stress fields near the tip of the crack is essentially three-dimensional and do not follow plane stress or plane strain simplifications. Moreover, in certain situations the two-dimensional solutions can provide misleading results; and several characteristic examples are outlined in this paper.
dc.description.statementofresponsibilityAndrei Kotousov, Zhuang He and Aditya Khanna
dc.identifier.citationKey Engineering Materials, 2016 / Toribio, J., Mantic, V., Saez, A., Aliabadi, M. (ed./s), vol.713, pp.18-21
dc.identifier.doi10.4028/www.scientific.net/KEM.713.18
dc.identifier.isbn9783038357162
dc.identifier.issn1013-9826
dc.identifier.issn1662-9795
dc.identifier.orcidKotousov, A.G. [0000-0001-9337-5095]
dc.identifier.orcidKhanna, A. [0000-0002-9536-6632]
dc.identifier.urihttp://hdl.handle.net/2440/117448
dc.language.isoen
dc.publisherTrans Tech Publications
dc.relation.ispartofseriesKey Engineering Materials; vol. 713
dc.rights© 2016 Trans Tech Publications
dc.source.urihttps://doi.org/10.4028/www.scientific.net/kem.713.18
dc.titleOn the correspondence between two-and three-dimensional elastic solutions of crack problems
dc.typeConference paper
pubs.publication-statusPublished

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