A smoothed finite element method for plate analysis

Nguyen-Xuan, Hung; Rabczuk, Timon; Bordas, Stéphane; Debongnie, Jean-François

doi:10.1016/j.cma.2007.10.008

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A smoothed finite element method for plate analysis

Nguyen-Xuan, Hung; Rabczuk, Timon; Bordas, Stéphane et al.

2008 • In Computer Methods in Applied Mechanics and Engineering, 197 (13-16), p. 1184-1203

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https://hdl.handle.net/2268/15001

DOI
10.1016/j.cma.2007.10.008

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Keywords :

Plates; Curvature smoothing; Smooth finite element method; SFEM; Locking-free; Distorted meshes

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. (c) 2007 Elsevier B.V. All rights reserved.

Disciplines :

Mechanical engineering

Author, co-author :

Nguyen-Xuan, Hung

Rabczuk, Timon

Bordas, Stéphane

Debongnie, Jean-François ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Méthodes de fabrication

Language :

English

Title :

A smoothed finite element method for plate analysis

Publication date :

February 2008

Journal title :

Computer Methods in Applied Mechanics and Engineering

ISSN :

0045-7825

eISSN :

1879-2138

Publisher :

Elsevier Science, Lausanne, Netherlands

Volume :

197

Issue :

13-16

Pages :

1184-1203

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 22 June 2009

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288

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211

OpenCitations

261

OpenAlex citations

356

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