The exact modes of formation of near-field reflected caustics

Theocaris, PS; Philippidis, TP

dc.contributor.author	Theocaris, PS	en
dc.contributor.author	Philippidis, TP	en
dc.date.accessioned	2014-03-01T01:07:41Z
dc.date.available	2014-03-01T01:07:41Z
dc.date.issued	1989	en
dc.identifier.issn	0013-7944	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10118
dc.subject	Near Field	en
dc.subject.classification	Mechanics	en
dc.subject.other	Fracture Mechanics	en
dc.subject.other	Optics--Geometrical	en
dc.subject.other	Surfaces--Optical Properties	en
dc.subject.other	Far Field Caustics	en
dc.subject.other	Geometrical Discontinuity	en
dc.subject.other	Near Field Reflected Caustics	en
dc.subject.other	Plates	en
dc.title	The exact modes of formation of near-field reflected caustics	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0013-7944(89)90070-2	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0013-7944(89)90070-2	en
heal.language	English	en
heal.publicationDate	1989	en
heal.abstract	An improved experimental arrangement for recording reflected caustics created by lateral deflections of a loaded plate was introduced by the authors in the past. According to this optical system, the manifold of light-rays impinging on the loaded specimen after reflection on its front surface, is refracted upon a thin convergent lens. Then, a reversing phenomenon appears in the 3-D caustic surface which, after refraction, develops altogether another branch. Exact equations for optical image formation were derived in this paper. For two example problems, it was shown that theoretically plotted caustics, possessing generatrix curves, initials, in the near field, i.e. in the close vicinity of the stress singularity or the geometrical discontinuity, deviate either strongly from the respective caustics of the simplified far-field theory or not at all, depending on the components of the gradient vector of the deformed surface. Moreover, it was certified for another time, that, the simple and manageable equations of far-field caustics retain their validity when the respective initials lie outside of a well-defined region surrounding the singularity. Thorough experimental studies corroborated excellently theoretical findings. © 1989.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Engineering Fracture Mechanics	en
dc.identifier.doi	10.1016/0013-7944(89)90070-2	en
dc.identifier.isi	ISI:A1989AH21000006	en
dc.identifier.volume	33	en
dc.identifier.issue	5	en
dc.identifier.spage	719	en
dc.identifier.epage	732	en