Article (Scientific journals)
A smoothed finite element method for plate analysis
Nguyen-Xuan, H.; Rabczuk, T.; BORDAS, Stéphane et al.
2008In Computer Methods in Applied Mechanics and Engineering, 197 (13-16), p. 1184-1203
Peer reviewed
 

Files


Full Text
A smoothed FEM for plate analysis.pdf
Publisher postprint (1.79 MB)
Request a copy

All documents in ORBilu are protected by a user license.

Send to



Details



Keywords :
Curvature smoothing; Distorted meshes; Locking-free; Plates; SFEM; Smooth finite element method; Approximation theory; Bending (deformation); Boundary integral equations; Computer simulation; Curve fitting; Finite element method; Stiffness matrix; Non-local approximation; Plate analysis; Smoothed finite element method; Plates (structural components)
Abstract :
[en] A quadrilateral element with smoothed curvatures for Mindlin-Reissner plates is proposed. The curvature at each point is obtained by a non-local approximation via a smoothing function. The bending stiffness matrix is calculated by a boundary integral along the boundaries of the smoothing elements (smoothing cells). Numerical results show that the proposed element is robust, computational inexpensive and simultaneously very accurate and free of locking, even for very thin plates. The most promising feature of our elements is their insensitivity to mesh distortion.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Nguyen-Xuan, H.;  Division of Computational Mechanics, Department of Mathematics and Informatics, University of Natural Sciences, 227 Nguyen Van Cu, Viet Nam
Rabczuk, T.;  Department of Mechanical Engineering, University of Canterbury, Private Bag 4800, Christchurch, 8140, New Zealand
BORDAS, Stéphane ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Debongnie, J. F.;  Division of Manufacturing, University of Liège, Bat. B52/3 Chemin des Chevreuils 1, B-4000 Liège 1, Belgium
External co-authors :
yes
Language :
English
Title :
A smoothed finite element method for plate analysis
Publication date :
2008
Journal title :
Computer Methods in Applied Mechanics and Engineering
ISSN :
0045-7825
Volume :
197
Issue :
13-16
Pages :
1184-1203
Peer reviewed :
Peer reviewed
Focus Area :
Computational Sciences
Available on ORBilu :
since 17 February 2018

Statistics


Number of views
105 (3 by Unilu)
Number of downloads
0 (0 by Unilu)

Scopus citations®
 
289
Scopus citations®
without self-citations
212
OpenCitations
 
255
OpenAlex citations
 
357
WoS citations
 
270

Bibliography


Similar publications



Contact ORBilu