Axisymmetric Lower-Bound Limit Analysis Using Finite Elements and Second-Order Cone Programming
Publication: Journal of Engineering Mechanics
Volume 140, Issue 2
Abstract
In this paper, the formulation of a lower-bound limit analysis for axisymmetric problems by means of finite elements leads to an optimization problem with a large number of variables and constraints. For the Mohr-Coulomb criterion, it is shown that these axisymmetric problems can be solved by second-order cone programming (SOCP). First, a brief introduction to SOCP is given and how axisymmetric lower-bound limit analysis can be formulated in this way is described. Through the use of an efficient toolbox (MOSEK or SDPT3), large-scale SOCP problems can be solved in minutes on a desktop computer. The method is then applied to estimate the collapse load of circular footings and uplift capacity of single or multiplate circular anchors. By comparing the present analysis with the results reported in the literature, it is shown that the results obtained from the proposed method are accurate and computationally more efficient than the numerical lower-bound limit analysis incorporated with linear programming.
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Information
Published In
Journal of Engineering Mechanics
Volume 140 • Issue 2 • February 2014
Pages: 268 - 278
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jul 6, 2012
Accepted: May 13, 2013
Published online: May 15, 2013
Published in print: Feb 1, 2014
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