The internal crack in an extended or compressed plate: Its geometric characteristics

Theocaris, PS

dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:07:00Z
dc.date.available	2014-03-01T01:07:00Z
dc.date.issued	1987	en
dc.identifier.issn	0013-7944	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9738
dc.subject.classification	Mechanics	en
dc.subject.other	MECHANICAL VARIABLES MEASUREMENT - Angles	en
dc.subject.other	STRESSES - Strain	en
dc.subject.other	STRUCTURAL DESIGN - Loads	en
dc.subject.other	CONTINUOUS SLIP PHENOMENON	en
dc.subject.other	DEFORMED CRACK	en
dc.subject.other	INFINITE CRACKED PLATE COMPRESSION	en
dc.subject.other	INTERNAL CRACK LIPS	en
dc.subject.other	PLATES	en
dc.title	The internal crack in an extended or compressed plate: Its geometric characteristics	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0013-7944(87)90139-1	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0013-7944(87)90139-1	en
heal.language	English	en
heal.publicationDate	1987	en
heal.abstract	The Muskhelishvili closed-form solution of an infinite plate containing an internal crack and submitted to either simple tension or compression was used for evaluating the exact shape of the deformed crack. The orientation of the crack-axis relative to the loading axis of the plate varied parametrically to cover all possible orientations. Using the already established fact that the deformed crack becomes an ellipse, whose principal axes change orientation from those of the unloaded crack, the dependence of the length of the deformed crack and its COD variation was plotted in terms of the angle β of inclination and the load level of the plate. It was shown that, while the purely extended crack remains symmetric to its initial axis and shrinks, the purely compressed crack presents a concordant correspondence of its deformed lips, which are closing creating a quasi-disappearance of the crack. Introduction of any amount of shear immediately introduces a discordant correspondence between respective points of the crack lips and contributes to their overlapping. Then, some amount of COD must be introduced by extending the crack in order to assure open lips of the crack. On the other hand, the length of the deformed crack is always smaller than its initial length for pure extension, whereas, for compression, it is always larger than the initial length. However, introduction of shear causes an increase of the final crack length, which may even overpass the initial crack length for some stress levels. Finally, phenomena of stick-slip and popping appear with loading when the dominant shear straining or the combination of compression and shear make the lips of the crack overlap and hinder a smooth propagation of the crack by loading. Experimental evidence with caustics in specimens under plane stress or plane strain corroborated the phenomena described by the theory. © 1987.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Engineering Fracture Mechanics	en
dc.identifier.doi	10.1016/0013-7944(87)90139-1	en
dc.identifier.isi	ISI:A1987H058900012	en
dc.identifier.volume	26	en
dc.identifier.issue	5	en
dc.identifier.spage	753	en
dc.identifier.epage	770	en