The stress field in a standardized Brazilian disc: The influence of the loading type acting on the actual contact length

Markides, ChF; Kourkoulis, SK

dc.contributor.author	Markides, ChF	en
dc.contributor.author	Kourkoulis, SK	en
dc.date.accessioned	2014-03-01T02:14:50Z
dc.date.available	2014-03-01T02:14:50Z
dc.date.issued	2012	en
dc.identifier.issn	07232632	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/30139
dc.subject	Brazilian disc test	en
dc.subject	Complex potentials	en
dc.subject	Contact length	en
dc.subject	Marble	en
dc.subject	PMMA	en
dc.subject	Point load	en
dc.subject	Radial pressure	en
dc.subject.other	Complex potentials	en
dc.subject.other	Contact length	en
dc.subject.other	Disc tests	en
dc.subject.other	PMMA	en
dc.subject.other	Point load	en
dc.subject.other	Radial pressure	en
dc.subject.other	Contact angle	en
dc.subject.other	Functions	en
dc.subject.other	Loading	en
dc.subject.other	Marble	en
dc.subject.other	Problem solving	en
dc.subject.other	Rock mechanics	en
dc.subject.other	Stresses	en
dc.subject.other	Disks (machine components)	en
dc.subject.other	Brazilian test	en
dc.subject.other	loading test	en
dc.subject.other	marble	en
dc.subject.other	nonlinearity	en
dc.subject.other	rock mechanics	en
dc.subject.other	stress field	en
dc.subject.other	stress measurement	en
dc.title	The stress field in a standardized Brazilian disc: The influence of the loading type acting on the actual contact length	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00603-011-0201-2	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00603-011-0201-2	en
heal.publicationDate	2012	en
heal.abstract	The aim of the present study was to determine the stress field developed in a Brazilian disc under conditions closely approaching those of the actual test executed according to the standardized procedure suggested by the International Society for Rock Mechanics. Advantage is taken of a recently introduced analytic solution for a mixed fundamental contact problem where the disc and the jaw are considered as a system of two interacting elastic bodies. Using the outcomes of that study, the complex potentials method is employed here for the solution of a first fundamental problem for a Brazilian disc under a parabolic load distribution. Analytic full-field formulae for the components of the stress field developed in the disc are given. The solution is then applied for the case of a disc made from Dionysos marble. The results are compared to existing ones obtained from solutions adopting statically equivalent loads either in the form of distributed (uniform or sinusoidally) radial pressure acting along the actual contact rim or in the form of diametrically acting point (line) loads. While the stress field in the major part of the disc seems to be rather insensitive to the exact load application mode, critical differences are detected in the vicinity of the loaded arc of the disc. The solution is assessed according to the results of a short series of Brazilian disc tests with PMMA specimens. The agreement between theoretical predictions and experimental data is satisfactory. Finally, it is indicated that, as opposed to previous solutions, the stress field (even at the disc's center) is a non-linear function of the externally applied load depending, among others, indirectly on the properties of the disc's and jaw's materials, the combination of which dictates the extent of the contact angle. © 2011 Springer-Verlag.	en
heal.journalName	Rock Mechanics and Rock Engineering	en
dc.identifier.doi	10.1007/s00603-011-0201-2	en
dc.identifier.volume	45	en
dc.identifier.issue	2	en
dc.identifier.spage	145	en
dc.identifier.epage	158	en