000014239 001__ 14239
000014239 005__ 20161115100145.0
000014239 04107 $$aeng
000014239 046__ $$k2016-08-21
000014239 100__ $$aSharan, Shailendra
000014239 24500 $$aElastoplastic analysis of circular openings in the generalized Hoek-Brown rock

000014239 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014239 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014239 506__ $$arestricted
000014239 520__ $$2eng$$aIn this paper, a closed-form solution is proposed for the axisymmetric elastoplastic plane strain analysis of displacements around circular openings in rock mass governed by the generalized Hoek-Brown failure criterion. Both associated and non-associated plasticity are considered. The solution is obtained by linearizing the non-linear failure criterion piecewise using the least-squares regression. The existing closed-form solution is based on a simplifying assumption that may result in significant errors. Other analytical solutions require the numerical solution of a differential equation. By comparing the results obtained by using the proposed solution with those obtained by using a numerical method for several cases, it is shown that the proposed solution produces reasonably accurate results even if a bilinear or trilinear approximation is considered and any desired level of accuracy may be achieved by using multilinear approximations.

000014239 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014239 653__ $$a

000014239 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014239 720__ $$aSharan, Shailendra
000014239 8560_ $$ffischerc@itam.cas.cz
000014239 8564_ $$s128811$$uhttps://invenio.itam.cas.cz/record/14239/files/PO.SM06-1.03.261.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2184, code PO.SM06-1.03.261
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000014239 962__ $$r13812
000014239 980__ $$aPAPER