Reducing the Computational Effort for Performing Linear Optimization in the Lower-Bound Finite Elements Limit Analysis
Publication: International Journal of Geomechanics
Volume 11, Issue 5
Abstract
This study describes a technique for reducing the computational effort for performing linear optimization while solving any geotechnical stability problem with the use of the lower bound finite-element limit analysis. In the proposed method, a lower order polygon is initially used to model the Mohr-Coulomb yield function; the order of the polygon refers to its total number of sides. The initial solution is used to identify the governing side of the yield polygon that lies nearest to the point defining the existing stress state. Subsequently, this governing side of the linearized yield polygon is replaced with a number of the relevant sides of the higher order polygon. Because all the sides of the higher order polygon for imposing the linearized yield constraints do not enter the formulation, the associated computational effort becomes much smaller. With the proposed algorithm, the collapse loads were determined for smooth and rough strip footing, and the computational results were found to be quite convincing.
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Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 11 • Issue 5 • October 2011
Pages: 406 - 412
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Feb 26, 2010
Accepted: Oct 17, 2010
Published online: Oct 17, 2010
Published in print: Oct 1, 2011
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