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

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

Research output: Contribution to journalArticlepeer-review

88 Citations (Scopus)


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
Issue number12
Publication statusPublished - 2010 Sep 17


  • A sum of norms
  • CS-FEM
  • Limit analysis
  • Second-order cone programming
  • Strain smoothing

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics


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