Displacement constraints of the faces of internal cracks due to pure shear

Theocaris, PS

dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:06:34Z
dc.date.available	2014-03-01T01:06:34Z
dc.date.issued	1986	en
dc.identifier.issn	0013-7944	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9483
dc.subject.classification	Mechanics	en
dc.subject.other	MATERIALS - Crack Propagation	en
dc.subject.other	MECHANICAL VARIABLES MEASUREMENT - Position	en
dc.subject.other	STRESSES - Shear	en
dc.subject.other	CRACK FACES	en
dc.subject.other	DEFORMED CRACK	en
dc.subject.other	SHEAR ELASTIC FIELD	en
dc.subject.other	PLATES	en
dc.title	Displacement constraints of the faces of internal cracks due to pure shear	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0013-7944(86)90069-X	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0013-7944(86)90069-X	en
heal.language	English	en
heal.publicationDate	1986	en
heal.abstract	An analysis of the displacement field along the lips of an internal crack in an infinite elastic plate, submitted to pure shear, was undertaken, based on the exact solution. It was shown that the in-plane components of displacement of the lips of the crack consist of: (i) a linear term, normal to the initial axis of the crack, which brings this axis to its effective position. The angle λ formed by this axis and the initial axis of the crack has a tangent given by tan λ = 2σ∞ E, where σ∞ is the normal stress applied to the plate at infinity and E the elastic modulus of the material, and (ii) a parallel to the initial axis component of displacement, which is proportional to the square of the distance from the tip of the crack. This component for pure shear is always negative, making the lips of the crack overlap each other. If to these in-plane displacements the out-of-plane component is added, the topography of the lips of the crack in pure shear is presenting a ravine with negative slopes, which terminates to two hills around the crack tips, which are sliced in halves along the crack-axis. Either half of each hill is replaced by its mirror surface, relative to the undeformed lateral faces of the plate. It was shown that the overlapping of lips starts with the application of any shearing load and develops up to an eventual creation of plastic enclaves at the tips of the crack. Conditions for zero relative displacement between the respective lips were established, which consist in adding a complementary lateral tensile load, whose magnitude depends on the applied load to the plate. © 1986.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Engineering Fracture Mechanics	en
dc.identifier.doi	10.1016/0013-7944(86)90069-X	en
dc.identifier.isi	ISI:A1986D293000006	en
dc.identifier.volume	24	en
dc.identifier.issue	3	en
dc.identifier.spage	383	en
dc.identifier.epage	397	en