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

Canh V. Le, H. Nguyen-Xuan, H. Askes, Stéphane P A Bordas, Timon Rabczuk, H. Nguyen-Vinh

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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.

Original languageEnglish
Pages (from-to)1651-1674
Number of pages24
JournalInternational Journal for Numerical Methods in Engineering
Volume83
Issue number12
DOIs
Publication statusPublished - 17 Sep 2010
Externally publishedYes

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Cite this

Le, C. V., Nguyen-Xuan, H., Askes, H., Bordas, S. P. A., Rabczuk, T., & Nguyen-Vinh, H. (2010). A cell-based smoothed finite element method for kinematic limit analysis. International Journal for Numerical Methods in Engineering, 83(12), 1651-1674. https://doi.org/10.1002/nme.2897