A smoothed finite element method for plate analysis

H. Nguyen-Xuan; T. Rabczuk; Stéphane Bordas; J. F. Debongnie

doi:10.1016/j.cma.2007.10.008

A smoothed finite element method for plate analysis

H. Nguyen-Xuan, T. Rabczuk, Stéphane Bordas, J. F. Debongnie

College of Engineering

Research output: Contribution to journal › Article › peer-review

240 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1184-1203
Number of pages	20
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	197
Issue number	13-16
DOIs	https://doi.org/10.1016/j.cma.2007.10.008
Publication status	Published - 2008 Feb 15

Keywords

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

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
Physics and Astronomy(all)
Computer Science Applications

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10.1016/j.cma.2007.10.008

Cite this

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title = "A smoothed finite element method for plate analysis",

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T1 - A smoothed finite element method for plate analysis

AU - Nguyen-Xuan, H.

AU - Rabczuk, T.

AU - Bordas, Stéphane

AU - Debongnie, J. F.

PY - 2008/2/15

Y1 - 2008/2/15

N2 - 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.

AB - 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.

KW - Curvature smoothing

KW - Distorted meshes

KW - Locking-free

KW - Plates

KW - SFEM

KW - Smooth finite element method

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M3 - Article

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SN - 0045-7825

VL - 197

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EP - 1203

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 13-16

ER -

A smoothed finite element method for plate analysis

Abstract

Keywords

ASJC Scopus subject areas

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