The Brazilian disc under non-uniform distribution of radial pressure and friction

Markides, CF; Pazis, DN; Kourkoulis, SK

dc.contributor.author	Markides, CF	en
dc.contributor.author	Pazis, DN	en
dc.contributor.author	Kourkoulis, SK	en
dc.date.accessioned	2014-03-01T02:14:48Z
dc.date.available	2014-03-01T02:14:48Z
dc.date.issued	2012	en
dc.identifier.issn	13651609	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/30122
dc.subject	Brazilian disc test	en
dc.subject	Complex potentials	en
dc.subject	Friction	en
dc.subject	Holomorphic functions	en
dc.subject	Linear elasticity	en
dc.subject	Radial pressure	en
dc.subject	Stress field	en
dc.subject.other	Complex potentials	en
dc.subject.other	Disc tests	en
dc.subject.other	Holomorphic functions	en
dc.subject.other	Linear elasticity	en
dc.subject.other	Radial pressure	en
dc.subject.other	Stress field	en
dc.subject.other	Elasticity	en
dc.subject.other	Friction	en
dc.subject.other	Functions	en
dc.subject.other	Stresses	en
dc.subject.other	Tribology	en
dc.subject.other	elasticity	en
dc.subject.other	friction	en
dc.subject.other	pressure effect	en
dc.subject.other	rock mechanics	en
dc.subject.other	stress field	en
dc.title	The Brazilian disc under non-uniform distribution of radial pressure and friction	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijrmms.2011.12.012	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijrmms.2011.12.012	en
heal.publicationDate	2012	en
heal.abstract	The stress field developed in an intact Brazilian disc is determined assuming that the externally imposed radial pressure is not uniform but rather it varies according to a sinusoidal law along the loaded rims of its periphery. In addition it is considered that friction forces are developed at the loading platen-disc interface. The problem is solved using the complex potential method adopting the theory of holomorphic functions. The solution obtained is believed to be closer to the experimental evidence either the tests are realized using plane platens or the ISRM suggested device. Comparing the results of the present solution with the respective ones obtained for a disc exclusively under uniform radial pressure it is concluded that there are no significant differences at the center of the disc. On the contrary significant discrepancies appear in the vicinity of the load application area. The presence of friction amplifies the phenomenon and the discrepancies become higher. It is concluded that the stress field obtained is relieved from some of the drawbacks of solutions adopting uniform pressure, like for example the unnatural stress gradients developed at the end-points of the externally applied load. © 2012 Elsevier Ltd.	en
heal.journalName	International Journal of Rock Mechanics and Mining Sciences	en
dc.identifier.doi	10.1016/j.ijrmms.2011.12.012	en
dc.identifier.volume	50	en
dc.identifier.spage	47	en
dc.identifier.epage	55	en