Paradoxes in the deformation modes of crack flanks due to shear

Theocaris, PS

dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:06:57Z
dc.date.available	2014-03-01T01:06:57Z
dc.date.issued	1987	en
dc.identifier.issn	0013-7944	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9695
dc.subject.classification	Mechanics	en
dc.subject.other	PLATES - Analysis	en
dc.subject.other	STRESSES - Shear	en
dc.subject.other	CRACK OPENING ANGLE	en
dc.subject.other	CRACK OPENING DISPLACEMENT	en
dc.subject.other	CRACKED PLATES	en
dc.subject.other	STRESS INTENSITY FACTOR	en
dc.subject.other	MATERIALS	en
dc.title	Paradoxes in the deformation modes of crack flanks due to shear	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0013-7944(87)90202-5	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0013-7944(87)90202-5	en
heal.language	English	en
heal.publicationDate	1987	en
heal.abstract	Whereas the singular solution for an internal crack in an infinite plate induced to a biaxial loading at infinity defines that the crack tips remain unmoved during deformation, the twoterm approximate solution implies some movement of the tips. The exact solution based on Muskhelishvili's complex potentials gives a thorough and exact view of the form of the deformed crack. The paradoxes of the aspect of the exact solution are several and may be classified as follows, (i) While overall tension opens the crack lips and overall compression makes the lips overlap congruently, so that the crack resembles a completely closed line without any stress concentration at its tips, the contribution of shear is always to make the crack flanks overlap in a non-congruent manner, thus developing strongly variable friction between the closed lips, (ii) The deformed crack length under shear loading is always different than its initial length depending on the angle of obliquity and the loading step, (iii) The deformed crack axis is different from the initial axis, (iv) The shape of the deformed crack is always elliptic with the upper lip penetrating inside the lower lip and vice versa, (v) There is always a clockwise or anticlockwise displacement of the lips depending on the sign of shear in a carousel mode, (vi) In this way new points behind the crack tips are replacing them as points of the vertices of the elliptic crack during continued loading, (vii) The curvature of the vertices is decreasing as the load is increased, (viii) The elliptic shape of the crack for the exact solution becomes a double parabolic shape with corners behind the vertices of the parabolas for the singular and the two-term solution. These unrealistic shapes of the deformed crack overestimate its relative lip-displacements, as compared with the exact solution. © 1987.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Engineering Fracture Mechanics	en
dc.identifier.doi	10.1016/0013-7944(87)90202-5	en
dc.identifier.isi	ISI:A1987G383600009	en
dc.identifier.volume	26	en
dc.identifier.issue	2	en
dc.identifier.spage	251	en
dc.identifier.epage	266	en