From the rectangular hole to the ideal crack

Theocaris, PS; Petrou, L

dc.contributor.author	Theocaris, PS	en
dc.contributor.author	Petrou, L	en
dc.date.accessioned	2014-03-01T01:07:29Z
dc.date.available	2014-03-01T01:07:29Z
dc.date.issued	1989	en
dc.identifier.issn	0020-7683	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10012
dc.subject.classification	Mechanics	en
dc.subject.other	Elasticity	en
dc.subject.other	Mathematical Techniques--Conformal Mapping	en
dc.subject.other	Plastics--Crack Propagation	en
dc.subject.other	Strain	en
dc.subject.other	Plexiglas Plates	en
dc.subject.other	Rectangular Hole	en
dc.subject.other	Reflected Caustic Experiments	en
dc.subject.other	Stress Intensity Factors	en
dc.subject.other	Plates	en
dc.title	From the rectangular hole to the ideal crack	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0020-7683(89)90045-0	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0020-7683(89)90045-0	en
heal.language	English	en
heal.publicationDate	1989	en
heal.abstract	The problem of a rectangular hole in an infinite elastic and isotropic plate, submitted to tension at infinity, is solved for any side ratio of the hole. It is assumed that the rectangular hole has rounded-off corners, the radii of curvature of which remain many times smaller than the short sides of the rectangles. The Muskhelishvili complex stress function θ{symbol}(z), sufficient to determine the first stress invariant needed for the solution is determined in a closed form by applying the conformal mapping method of the outside of a rectangle to the inside of a unit circle. The stress and strain distributions along the boundary of the hole, as well as inside a limited region in front of the short sides of the rectangle are accurately determined. It is proved that the method of reflected caustics is sensitive in examining the singular fields developed at the corners of the rectangles. Moreover, the minimum radii of the initial curves of the caustics are determined, outside of which the stress fields could be described by the singular solution. Experiments with reflected caustics in plexiglas plates corroborated the theoretical results. © 1989.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Solids and Structures	en
dc.identifier.doi	10.1016/0020-7683(89)90045-0	en
dc.identifier.isi	ISI:A1989U065700001	en
dc.identifier.volume	25	en
dc.identifier.issue	3	en
dc.identifier.spage	213	en
dc.identifier.epage	233	en