A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates

H. Nguyen-Xuan, Timon Rabczuk, N. Nguyen-Thanh, T. Nguyen-Thoi, S. Bordas

Research output: Contribution to journalArticle

94 Citations (Scopus)

Abstract

In this paper, a node-based smoothed finite element method (NS-FEM) using 3-node triangular elements is formulated for static, free vibration and buckling analyses of Reissner-Mindlin plates. The discrete weak form of the NS-FEM is obtained based on the strain smoothing technique over smoothing domains associated with the nodes of the elements. The discrete shear gap (DSG) method together with a stabilization technique is incorporated into the NS-FEM to eliminate transverse shear locking and to maintain stability of the present formulation.Aso-called node-based smoothed stabilized discrete shear gap method (NS-DSG) is then proposed. Several numerical examples are used to illustrate the accuracy and effectiveness of the present method.

Original languageEnglish
Pages (from-to)679-701
Number of pages23
JournalComputational Mechanics
Volume46
Issue number5
DOIs
Publication statusPublished - 2010 Oct 1
Externally publishedYes

Fingerprint

Mindlin plates
Reissner-Mindlin Plate
Finite Element Method
Finite element method
Vertex of a graph
Buckling
Stabilization
Shear Locking
Smoothing Techniques
Triangular Element
Free Vibration
Smoothing
Transverse
Eliminate
Numerical Examples
Formulation

Keywords

  • Finite element method
  • Node-based smoothed
  • Plate bending
  • Transverse shear locking

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Mechanical Engineering
  • Ocean Engineering
  • Applied Mathematics
  • Computational Mathematics

Cite this

A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates. / Nguyen-Xuan, H.; Rabczuk, Timon; Nguyen-Thanh, N.; Nguyen-Thoi, T.; Bordas, S.

In: Computational Mechanics, Vol. 46, No. 5, 01.10.2010, p. 679-701.

Research output: Contribution to journalArticle

Nguyen-Xuan, H. ; Rabczuk, Timon ; Nguyen-Thanh, N. ; Nguyen-Thoi, T. ; Bordas, S. / A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates. In: Computational Mechanics. 2010 ; Vol. 46, No. 5. pp. 679-701.
@article{09dfa3f8a2dd443caae74431e018baca,
title = "A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates",
abstract = "In this paper, a node-based smoothed finite element method (NS-FEM) using 3-node triangular elements is formulated for static, free vibration and buckling analyses of Reissner-Mindlin plates. The discrete weak form of the NS-FEM is obtained based on the strain smoothing technique over smoothing domains associated with the nodes of the elements. The discrete shear gap (DSG) method together with a stabilization technique is incorporated into the NS-FEM to eliminate transverse shear locking and to maintain stability of the present formulation.Aso-called node-based smoothed stabilized discrete shear gap method (NS-DSG) is then proposed. Several numerical examples are used to illustrate the accuracy and effectiveness of the present method.",
keywords = "Finite element method, Node-based smoothed, Plate bending, Transverse shear locking",
author = "H. Nguyen-Xuan and Timon Rabczuk and N. Nguyen-Thanh and T. Nguyen-Thoi and S. Bordas",
year = "2010",
month = "10",
day = "1",
doi = "10.1007/s00466-010-0509-x",
language = "English",
volume = "46",
pages = "679--701",
journal = "Computational Mechanics",
issn = "0178-7675",
publisher = "Springer Verlag",
number = "5",

}

TY - JOUR

T1 - A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates

AU - Nguyen-Xuan, H.

AU - Rabczuk, Timon

AU - Nguyen-Thanh, N.

AU - Nguyen-Thoi, T.

AU - Bordas, S.

PY - 2010/10/1

Y1 - 2010/10/1

N2 - In this paper, a node-based smoothed finite element method (NS-FEM) using 3-node triangular elements is formulated for static, free vibration and buckling analyses of Reissner-Mindlin plates. The discrete weak form of the NS-FEM is obtained based on the strain smoothing technique over smoothing domains associated with the nodes of the elements. The discrete shear gap (DSG) method together with a stabilization technique is incorporated into the NS-FEM to eliminate transverse shear locking and to maintain stability of the present formulation.Aso-called node-based smoothed stabilized discrete shear gap method (NS-DSG) is then proposed. Several numerical examples are used to illustrate the accuracy and effectiveness of the present method.

AB - In this paper, a node-based smoothed finite element method (NS-FEM) using 3-node triangular elements is formulated for static, free vibration and buckling analyses of Reissner-Mindlin plates. The discrete weak form of the NS-FEM is obtained based on the strain smoothing technique over smoothing domains associated with the nodes of the elements. The discrete shear gap (DSG) method together with a stabilization technique is incorporated into the NS-FEM to eliminate transverse shear locking and to maintain stability of the present formulation.Aso-called node-based smoothed stabilized discrete shear gap method (NS-DSG) is then proposed. Several numerical examples are used to illustrate the accuracy and effectiveness of the present method.

KW - Finite element method

KW - Node-based smoothed

KW - Plate bending

KW - Transverse shear locking

UR - http://www.scopus.com/inward/record.url?scp=77954957345&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77954957345&partnerID=8YFLogxK

U2 - 10.1007/s00466-010-0509-x

DO - 10.1007/s00466-010-0509-x

M3 - Article

VL - 46

SP - 679

EP - 701

JO - Computational Mechanics

JF - Computational Mechanics

SN - 0178-7675

IS - 5

ER -