Reference : A smoothed finite element method for plate analysis

	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/34878

Title :	A smoothed finite element method for plate analysis
Language :	English
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]
Publication date :	2008
Journal title :	Computer Methods in Applied Mechanics & Engineering
Volume :	197
Issue/season :	13-16
Pages :	1184-1203
Peer reviewed :	Yes (verified by ORBilu)
Audience :	International
ISSN :	00457825
Keywords :	[en] 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) ; Approximation theory ; Bending (deformation) ; Boundary integral equations ; Computer simulation ; Curve fitting ; Finite element method ; Plates (structural components) ; Stiffness matrix
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.
Permalink :	http://hdl.handle.net/10993/34878
DOI :	10.1016/j.cma.2007.10.008

	File(s) associated to this reference
	Fulltext file(s): File Commentary Version Size Access Limited access A smoothed FEM for plate analysis.pdf Publisher postprint 1.75 MB Request a copy

All documents in ORBi^lu are protected by a user license.

 

University of Luxembourg Library |  Feedback |  Legal notices Site Map