Evaluation of transverse Poisson's ratios in thin orthotropic plates by the optical method of pseudocaustics

Theocaris, PS; Philippidis, TP

dc.contributor.author	Theocaris, PS	en
dc.contributor.author	Philippidis, TP	en
dc.date.accessioned	2014-03-01T01:08:48Z
dc.date.available	2014-03-01T01:08:48Z
dc.date.issued	1992	en
dc.identifier.issn	0266-3538	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10698
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0026711963&partnerID=40&md5=21c3faa086e06df373b19a7e44e4fe12	en
dc.subject	anisotropic medium	en
dc.subject	caustics	en
dc.subject	engineering elastic constants	en
dc.subject	optical mapping	en
dc.subject	paper elasticity	en
dc.subject	Poisson's ratio	en
dc.subject.classification	Materials Science, Composites	en
dc.subject.other	Composite Materials	en
dc.subject.other	Stresses	en
dc.subject.other	Orthotropic Plates	en
dc.subject.other	Pseudocaustics	en
dc.subject.other	Transverse Poisson's Ratios	en
dc.subject.other	Plates	en
dc.title	Evaluation of transverse Poisson's ratios in thin orthotropic plates by the optical method of pseudocaustics	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1992	en
heal.abstract	An analytical treatment of the optical mapping produced by deviated light rays impinging on a perforated orthotropic plate revealed the possibility of proceeding to a direct measurement of transverse Poisson's ratios. This was accomplished theoretically by correlating the transverse, Dt, and longitudinal, D1, diameters of the pseudocaustic curve created by the boundary of an elliptic opening in a uniaxially tensioned plate of an orthotropic material with the transverse components of the compliance tensor. The theoretical foundation of the method was based on the exact closed-form solution of the geometry under consideration given by Lekhnitskii and Savin. It was shown that both the dimensions and the shape of the pseudocaustic curve are drastically affected by changes in the values of transverse Poisson's ratios. Thus, the method constitutes a powerful and perhaps unique device for evaluating characteristic parameters related to the thickness of the plate representing the stress field by measuring characteristic lengths along a plane parallel to the middle plane of the plate. Finally, by means of the proposed method one can readily establish the local material principal directions for a solid plate of unknown elastic symmetry and directions of principal axes. © 1992.	en
heal.publisher	ELSEVIER SCI LTD	en
heal.journalName	Composites Science and Technology	en
dc.identifier.isi	ISI:A1992HG58500007	en
dc.identifier.volume	43	en
dc.identifier.issue	4	en
dc.identifier.spage	369	en
dc.identifier.epage	378	en