The moiré method of zonal and line gratings - Mechanical interference of zonal and line gratings yields simultaneously all displacement components in a uniform two-dimensional strain field

Theocaris, PS; Kuo, H-H

dc.contributor.author	Theocaris, PS	en
dc.contributor.author	Kuo, H-H	en
dc.date.accessioned	2014-03-01T01:37:40Z
dc.date.available	2014-03-01T01:37:40Z
dc.date.issued	1965	en
dc.identifier.issn	00144851	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21608
dc.title	The moiré method of zonal and line gratings - Mechanical interference of zonal and line gratings yields simultaneously all displacement components in a uniform two-dimensional strain field	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02327151	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02327151	en
heal.publicationDate	1965	en
heal.abstract	The theory of moiré fringes produced by zonal gratings interfering with line gratings of equal or slightly different pitch was developed. Differential equations relating the pitches of the two gratings to the interfringe spacing of the moiré pattern produced were established. It was shown that the moiré fringes produced belong to families of confocal ellipses, parabolas or hyperbolas in the cases where the zonal-grating pitch (pm) is greater than, equal to, or smaller than the line reference-grating pitch (pr). These patterns yielded all the displacement components of a two-dimensional strain field. Therefore, they are sufficient for the complete determination of the strain and stress distribution in any elastic or plastic plane-stress problem. As an illustration, the method has been applied to the determination of the lateral-contraction-ratio function of a polymeric substance (cold-setting pure epoxy resin) in creep at various steps of temperature. © 1965 Society for Experimental Mechanics, Inc.	en
heal.publisher	Kluwer Academic Publishers	en
heal.journalName	Experimental Mechanics	en
dc.identifier.doi	10.1007/BF02327151	en
dc.identifier.volume	5	en
dc.identifier.issue	8	en
dc.identifier.spage	267	en
dc.identifier.epage	272	en