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

doi:10.1002/nme.2897

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

College of Engineering

Research output: Contribution to journal › Article › peer-review

72 Citations (Scopus)

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 language	English
Pages (from-to)	1651-1674
Number of pages	24
Journal	International Journal for Numerical Methods in Engineering
Volume	83
Issue number	12
DOIs	https://doi.org/10.1002/nme.2897
Publication status	Published - 2010 Sep 17

Keywords

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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