Reference : An alternative alpha finite element method with discrete shear gap technique for anal...

	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/10993/34887

Title :	An alternative alpha finite element method with discrete shear gap technique for analysis of isotropic Mindlin-Reissner plates
Language :	English
Author, co-author :	Nguyen-Thanh, N. [Institute of Structural Mechanics, Bauhaus of University, Marienstrae 15, 99423 Weimar, Germany]
	Rabczuk, Timon [Institute of Structural Mechanics, Bauhaus of University, Marienstrae 15, 99423 Weimar, Germany]
	Nguyen-Xuan, H. [Department of Mechanics, Faculty of Mathematics and Computer Science, University of Science-VNU HCM, 227 Nguyen Van Cu Street, Ho Chi Minh City, Viet Nam, Division of Computational Mechanics, Ton Duc Thang University, HCM, Viet Nam]
	Bordas, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Publication date :	2011
Journal title :	Finite Elements in Analysis and Design
Volume :	47
Issue/season :	5
Pages :	519-535
Peer reviewed :	Yes
Audience :	International
ISSN :	0168874X
Keywords :	[en] Discrete shear gap (DSG) ; Finite element method ; Plate bending ; Smooth finite element method (SFEM) ; Transverse shear locking ; Adjustable parameters ; Buckling analysis ; Finite Element ; Free vibration ; High reliability ; Mindlin-Reissner plate ; Numerical example ; Over-estimation ; Piecewise constant ; Strain fields ; Transverse shear ; Triangular elements ; Computational mechanics ; Coupled circuits ; Mindlin plates ; Vibration analysis
Abstract :	[en] An alternative alpha finite element method (AαFEM) coupled with a discrete shear gap technique for triangular elements is presented to significantly improve the accuracy of the standard triangular finite elements for static, free vibration and buckling analyses of MindlinReissner plates. In the AαFEM, the piecewise constant strain field of linear triangular elements is enhanced by additional strain terms with an adjustable parameter α which results in an effectively softer stiffness formulation compared to the linear triangular element. To avoid the transverse shear locking, the discrete shear gap technique (DSG) is utilized and a novel triangular element, the Aα-DSG3 is obtained. Several numerical examples show that the Aα-DSG3 achieves high reliability compared to other existing elements in the literature. Through selection of α, under or over estimation of the strain energy can be achieved.
Funders :	Postgraduate Scholarship Regulation (ThuerGFVO) ; Vietnam National Foundation for Science and Technology Development (NAFOSTED) ; Royal Academy of Engineering and of the Leverhulme Trust. Title of the Grant: ``Towards the next generation surgical simulators
Target :	Researchers ; Professionals ; Students ; General public ; Others
Permalink :	http://hdl.handle.net/10993/34887
DOI :	10.1016/j.finel.2011.01.004

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