Reference : A cell-based smoothed finite element method for kinematic limit analysis
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
http://hdl.handle.net/10993/34870
A cell-based smoothed finite element method for kinematic limit analysis
English
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 mailto [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]
2010
International Journal for Numerical Methods in Engineering
83
12
1651-1674
Yes (verified by ORBilu)
International
00295981
[en] 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
[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.
http://hdl.handle.net/10993/34870
10.1002/nme.2897

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Limited access
A cell-based smoothed FEM.pdfPublisher postprint1.13 MBRequest a copy

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.