Stress singularities at concentrated loads - An insight at the stress singularity created by a concentrated load can be obtained by the method of caustics

Theocaris, PS

dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:05:30Z
dc.date.available	2014-03-01T01:05:30Z
dc.date.issued	1973	en
dc.identifier.issn	00144851	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/8859
dc.subject	Refractive Index	en
dc.subject.other	STRESSES	en
dc.title	Stress singularities at concentrated loads - An insight at the stress singularity created by a concentrated load can be obtained by the method of caustics	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02322339	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02322339	en
heal.publicationDate	1973	en
heal.abstract	The stress singularity created by a concentrated load applied at the boundary of a half-plane was studied by transforming it into an optical singularity by the optical method of caustics. The half-plane was considered to be elastic, isotropic and under generalized plane-stress conditions. According to the method of caustics, the light rays impinging normally at the thin plate are partly reflected from either the front or the rear faces of the plate. The reflected rays are deviated because of the important constraint of the plate at the vicinity of the applied load and the significant variation of the refractive index there. The deviated light rays, when projected on a reference screen, are concentrated along a singular curve which is, therefore, strongly illuminated and forms a caustic. It is shown that the shape and size of the caustic depends on the stress singularity at the point of application of the load. Thus, by measuring the dimensions of this singular curve, one can evaluate the state of stress at the singularity. The characteristic properties of the caustic created by such a singularity were studied in relation with the loading mode of the plate. © 1973 Society for Experimental Mechanics, Inc.	en
heal.publisher	Kluwer Academic Publishers	en
heal.journalName	Experimental Mechanics	en
dc.identifier.doi	10.1007/BF02322339	en
dc.identifier.volume	13	en
dc.identifier.issue	12	en
dc.identifier.spage	511	en
dc.identifier.epage	518	en