Lower-Bound Finite Elements Limit Analysis for Hoek-Brown Materials Using Semidefinite Programming

Kumar, Jyant and Mohapatra, Debasis (2017) Lower-Bound Finite Elements Limit Analysis for Hoek-Brown Materials Using Semidefinite Programming. In: JOURNAL OF ENGINEERING MECHANICS, 143 (9).

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Abstract

The lower-bound finite elements limit analysis in combination with semidefinite programming (SDP) has been used to solve stability problems involving a modified Hoek-Brown (HB) yield criterion with the exponent alpha = 0.5. In order to demonstrate the applicability of the proposed computational approach, bearing capacities of strip and circular foundations on rock mass have been determined. The results have been given in the form of nondimensional bearing capacity factors as a function of different material input parameters. By comparing the results obtained from the present analysis with that reported in literature, it is noted that the proposed approach remains quite accurate and is highly efficient to deal with any large-scale optimization problem. The method does not require any kind of the smoothing of the yield surface and it can even be implemented to deal with any three-dimensional problem as well. (C) 2017 American Society of Civil Engineers.

Item Type:	Journal Article
Publication:	JOURNAL OF ENGINEERING MECHANICS
Additional Information:	Copy right for this article belongs to the ASCE-AMER SOC CIVIL ENGINEERS, 1801 ALEXANDER BELL DR, RESTON, VA 20191-4400 USA
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	23 Sep 2017 05:09
Last Modified:	23 Sep 2017 05:09
URI:	http://eprints.iisc.ac.in/id/eprint/57864

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