Stress and displacement singularities near corners

Theocaris, PS

dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:05:33Z
dc.date.available	2014-03-01T01:05:33Z
dc.date.issued	1975	en
dc.identifier.issn	00442275	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/8877
dc.subject	Case Study	en
dc.title	Stress and displacement singularities near corners	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01596280	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01596280	en
heal.publicationDate	1975	en
heal.abstract	The optical method of caustics, as it has been developed by the author, was used for the study of the stress singularity at the singular corner of a bimaterial composite consisting of two materially dissimilar wedges bonded together along either one or two of their interfaces and submitted to any type of loading. The equations of the caustics were derived by putting the complex stress functions of the Muskhelishvili formulation of the plane stress problem in their asymptotic forms, which are valid at the close vicinity of the corner. By comparing the theoretically defined caustics to those obtained by the experiments the order of the elastic stress singularity in the particular cases studied was calculated. The following special cases were considered: (i) a homogeneous wedge with various values of its angle; (ii) Two dissimilar wedges bonded together along one interface to form any part of a plane; (iii) Two dissimilar wedges bonded together along both their interfaces to form a full plane; and (iv) Two dissimilar half-planes bonded together along their interface while an oblique crack is traversing either of the half-planes and terminating at the interface. The values of the elastic stress singularities, as they have been defined experimentally, corroborate the theoretical results. © 1975 Birkhäuser-Verlag.	en
heal.publisher	Birkhäuser-Verlag	en
heal.journalName	Zeitschrift für angewandte Mathematik und Physik ZAMP	en
dc.identifier.doi	10.1007/BF01596280	en
dc.identifier.volume	26	en
dc.identifier.issue	1	en
dc.identifier.spage	77	en
dc.identifier.epage	98	en