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A cell-based smoothed finite element method for kinematic limit analysis

Le, Canh V., Nguyen-Xuan, H., Askes, Harm, Bordas , Stéphane P. A. , Rabczuk, T. and Nguyen-Vinh, H. (2010) A cell-based smoothed finite element method for kinematic limit analysis. International Journal for Numerical Methods in Engineering. ISSN 0029-5981 (In Press)

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Abstract

This paper presents a new numerical procedure for kinematic limit analysis problems, which incorporates the cell-based smoothed finite element method with second-order cone programming. The application of a strain smoothing technique to the standard displacement finite element both rules out volumetric locking and also results in an efficient method that can provide accurate solutions with minimal computational effort. The non-smooth optimization problem is formulated as a problem of minimizing a sum of Euclidean norms, ensuring that the resulting optimization problem can be solved by an efficient second-order cone programming algorithm. Plane stress and plane strain problems governed by the von Mises criterion are considered, but extensions to problems with other yield criteria having a similar conic quadratic form or 3D problems can be envisaged.

Item Type: Article
Copyright, Publisher and Additional Information: This is the pre-peer-reviewed version of the following article: Le, Canh V., Nguyen-Xuan, H., Askes, H., Bordas , Stéphane P. A., Rabczuk, T. and Nguyen-Vinh, H. (2010) A cell-based smoothed finite element method for kinematic limit analysis. International Journal for Numerical Methods in Engineering. Published in final form at http://dx.doi.org/10.1002/nme.2897
Keywords: limit analysis • CS-FEM • strain smoothing • a sum of norms • second-order cone programming
Academic Units: The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Civil and Structural Engineering (Sheffield)
Depositing User: Dr Canh Le
Date Deposited: 08 Jun 2010 14:19
Last Modified: 08 Feb 2013 17:00
Published Version: http://dx.doi.org/10.1002/nme.2897
Status: In Press
Publisher: John Wiley
Refereed: No
Identification Number: http://dx.doi.org/10.1002/nme.2897
URI: http://eprints.whiterose.ac.uk/id/eprint/10834

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