KIII-Deformation modes in internal oblique cracks under plane-stress conditions

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dc.contributor.author Theocaris, PS en
dc.date.accessioned 2014-03-01T01:06:54Z
dc.date.available 2014-03-01T01:06:54Z
dc.date.issued 1987 en
dc.identifier.issn 00144851 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/9663
dc.subject Potential Function en
dc.subject.other FRACTURE MECHANICS en
dc.subject.other CRACK TIP en
dc.subject.other INTERNAL OBLIQUE CRACKS en
dc.subject.other PLANE STRESS CONDITIONS en
dc.subject.other SHEAR DISPLACEMENTS en
dc.subject.other PLATES en
dc.title KIII-Deformation modes in internal oblique cracks under plane-stress conditions en
heal.type journalArticle en
heal.identifier.primary 10.1007/BF02319478 en
heal.identifier.secondary http://dx.doi.org/10.1007/BF02319478 en
heal.publicationDate 1987 en
heal.abstract The exact shape of the deformed internal oblique crack in an infinite elastic plate under conditions of plane stress was studied. The Muskhelishvili potential function yielded the exact stress and displacement field around the crack. While in previous papers by the author the study was mainly concerned with the definition of the in-plane shape of the deformed crack and important properties were disclosed concerning especially the contribution of the shear loading of the crack, in this paper the out-of-plane component of displacements is determined and its influence on the exact shape of the deformed crack in space is presented. It is shown that, as soon as shear displacements appear in the cracked plate under plane stress, out-of-plane shear displacements are a compulsory consequence for plane-stress conditions of the plate. The elliptic form of the deformed internal crack was twisted out of the plane of the plate with its zero twisting displacement near the new crack tip of its deformed shape corresponding to the vertex of the ellipse. The points of maximum and minimum out-of-plane displacements were placed close to the vertices of the ellipse at polar angles, θ, depending only on the eccentricity of the ellipse and displaced always on both sides of the vertices. The compulsory coexistence of mode II and mode III deformations makes the internal crack in plane stress to present a complicated pattern of deformation at its deformed crack tips. All of these results are amply supported by experimental evidence with caustics, which always show either a simple mode I pattern or a complex mode II and III pattern as soon as shear interferes in the mode of deformation of the plate. © 1987 Society for Experimental Mechanics, Inc. en
heal.publisher Kluwer Academic Publishers en
heal.journalName Experimental Mechanics en
dc.identifier.doi 10.1007/BF02319478 en
dc.identifier.volume 27 en
dc.identifier.issue 2 en
dc.identifier.spage 220 en
dc.identifier.epage 228 en

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