Article (Scientific journals)
A cell-based smoothed finite element method for kinematic limit analysis
Le, Canh. V.; Nguyen-Xuan, H.; Askes, H. et al.
2010In International Journal for Numerical Methods in Engineering, 83 (12), p. 1651-1674
Peer reviewed
 

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Keywords :
A sum of norms; CS-FEM; Limit analysis; Second-order cone programming; Strain smoothing; Cell-based; Computational effort; Efficient method; Euclidean norm; Finite Element; Nonsmooth optimization; Numerical procedures; Optimization problems; Plane strain problem; Plane stress; Quadratic form; Smoothed finite element method; Smoothing techniques; Volumetric locking; Von Mises criterion; Yield criteria; Kinematics; Number theory; Optimization; Finite element method
Abstract :
[en] 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.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Le, Canh. V.;  Department of Civil and Structural Engineering, The University of Sheffield, United Kingdom
Nguyen-Xuan, H.;  Department of Mechanics, Faculty of Mathematics and Computer Science, University of Science, VNU-HCM, Viet Nam, Faculty of Civil Engineering, Ton Duc Thang University HCM, Viet Nam
Askes, H.;  Department of Civil and Structural Engineering, The University of Sheffield, United Kingdom
Bordas, Stéphane ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Rabczuk, T.;  Institute of Structural Mechanics, Bauhaus-University Weimar, Marienstrae 15, 99423 Weimar, Germany
Nguyen-Vinh, H.;  Department of Mechanics, Faculty of Mathematics and Computer Science, University of Science, VNU-HCM, Viet Nam
External co-authors :
yes
Language :
English
Title :
A cell-based smoothed finite element method for kinematic limit analysis
Publication date :
2010
Journal title :
International Journal for Numerical Methods in Engineering
ISSN :
0029-5981
Volume :
83
Issue :
12
Pages :
1651-1674
Peer reviewed :
Peer reviewed
Focus Area :
Computational Sciences
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