Combined photoelastic and electrical-analog method for solution of plane-stress plasticity problems - Author indicates that data obtained from electrical analogy, together with those given from the application of birefringent coatings suffice for the complete solution of any kind of plane-stress problem of restricted plastic deformation

Theocaris, PS

dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:37:39Z
dc.date.available	2014-03-01T01:37:39Z
dc.date.issued	1963	en
dc.identifier.issn	00144851	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21591
dc.title	Combined photoelastic and electrical-analog method for solution of plane-stress plasticity problems - Author indicates that data obtained from electrical analogy, together with those given from the application of birefringent coatings suffice for the complete solution of any kind of plane-stress problem of restricted plastic deformation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02325764	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02325764	en
heal.publicationDate	1963	en
heal.abstract	A new application of the electrical-analog method is introduced for the evaluation of the {Mathematical expression} strain, normal to the surface of a thin sheet loaded under conditions of plane stress in plasticity. The analogy relating the two physical phenomena of {Mathematical expression} distribution in a plane-stress plastic field and the potential φ of a plane electrostatic field is based on the assumption that the Cartesian components of strain parallel to the surface of the body vary along the thickness of the strip. They are expressed as a sum of a term independent of z and a second term, which is a second degree function of the z-coordinate normal to the surface of the body. The boundary conditions of the {Mathematical expression} distribution may be easily determined by a photoelastic method using birefringent coatings cemented on the surface of the metallic specimens. Then, the electrical analogy can be applied for the evaluation of the {Mathematical expression} distribution all over the field. The graphited paper was used as conducting surface in the application of the analogy. The values of {Mathematical expression}, together with data obtained by the birefringent coating and concerning the two other Cartesian components of strain, yield an explicit analytic solution of the elastic-plastic plane-stress problem. The method is applied to a plane-stress restricted plasticity problem of a thin slab, with two semicircular grooves in pure tension. The results were compared with those obtained by a photoelastic pointwise solution using normal and oblique incidence. The agreement between these results shows the accuracy of the method. © 1963 Society for Experimental Mechanics, Inc.	en
heal.publisher	Kluwer Academic Publishers	en
heal.journalName	Experimental Mechanics	en
dc.identifier.doi	10.1007/BF02325764	en
dc.identifier.volume	3	en
dc.identifier.issue	9	en
dc.identifier.spage	207	en
dc.identifier.epage	214	en