An alternative alpha finite element method with discrete shear gap technique for analysis of isotropic Mindlin-Reissner plates

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

Research output: Contribution to journalArticle

53 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)519-535
Number of pages17
JournalFinite Elements in Analysis and Design
Volume47
Issue number5
DOIs
Publication statusPublished - 2011 May 1
Externally publishedYes

Fingerprint

Mindlin plates
Reissner-Mindlin Plate
Triangular Element
Finite Element Method
Finite element method
Alternatives
Strain energy
Buckling
Stiffness
Shear Locking
Strain Energy
Free Vibration
Triangular
Transverse
Finite Element
Numerical Examples
Formulation
Term

Keywords

  • Discrete shear gap (DSG)
  • Finite element method
  • Plate bending
  • Smooth finite element method (SFEM)
  • Transverse shear locking

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Engineering(all)
  • Computer Graphics and Computer-Aided Design

Cite this

An alternative alpha finite element method with discrete shear gap technique for analysis of isotropic Mindlin-Reissner plates. / Nguyen-Thanh, N.; Rabczuk, Timon; Nguyen-Xuan, H.; Bordas, S.

In: Finite Elements in Analysis and Design, Vol. 47, No. 5, 01.05.2011, p. 519-535.

Research output: Contribution to journalArticle

Nguyen-Thanh, N. ; Rabczuk, Timon ; Nguyen-Xuan, H. ; Bordas, S. / An alternative alpha finite element method with discrete shear gap technique for analysis of isotropic Mindlin-Reissner plates. In: Finite Elements in Analysis and Design. 2011 ; Vol. 47, No. 5. pp. 519-535.
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