Elastic plates under bending solved by pseudocaustics

Theocaris, PS; Theotokoglu, EN

dc.contributor.author	Theocaris, PS	en
dc.contributor.author	Theotokoglu, EN	en
dc.date.accessioned	2014-03-01T01:06:52Z
dc.date.available	2014-03-01T01:06:52Z
dc.date.issued	1987	en
dc.identifier.issn	00144851	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9638
dc.subject	Conformal Map	en
dc.subject	Experimental Method	en
dc.subject	Potential Function	en
dc.subject.other	ELASTICITY	en
dc.subject.other	MATHEMATICAL TECHNIQUES - Conformal Mapping	en
dc.subject.other	STRESSES - Analysis	en
dc.subject.other	PSEUDOCAUSTICS	en
dc.subject.other	PLATES	en
dc.title	Elastic plates under bending solved by pseudocaustics	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02318092	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02318092	en
heal.publicationDate	1987	en
heal.abstract	The method pf pseudocaustics was applied to the study of out-of-plane bending in elastic plates. It is shown that for bending problems where the loading mode is given, the method determines experimentally the complex potential function at selected points along the boundaries. A conformal mapping of the closed smooth curves of each boundary of the plate on to a unit circle allows the determination of the complex potential φ{symbol} (ζ), expressed in the form of a Laurent series. This in turn yields the complete solution of the bent plate. In order to show the efficiency of the method it was applied to two typical examples of thin infinite plates in cylindrical bending, having either a circular central hole, or a square hole. The experimental results corroborate the theoretical results, thus proving that this combined theoretical and experimental method is suitable for solving elastic problems in applications with high accuracy, where other methods fail to yield satisfactory results. © 1987 Society for Experimental Mechanics, Inc.	en
heal.publisher	Kluwer Academic Publishers	en
heal.journalName	Experimental Mechanics	en
dc.identifier.doi	10.1007/BF02318092	en
dc.identifier.volume	27	en
dc.identifier.issue	3	en
dc.identifier.spage	262	en
dc.identifier.epage	267	en