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

Theocaris, PS

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	REFLECTED CAUSTICS METHOD	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