An alternative alpha finite element method with discrete shear gap technique for analysis of laminated composite plates

C. Thai-Hoang, N. Nguyen-Thanh, H. Nguyen-Xuan, Timon Rabczuk

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55 Citations (Scopus)

Abstract

This paper presents an alternative alpha finite element method using triangular meshes (AαFEM) for static, free vibration and buckling analyses of laminated composite plates. In the AαFEM, an assumed strain field is carefully constructed by combining compatible strains and additional strains with an adjustable parameter α which can produce an effectively softer stiffness formulation compared to the linear triangular element. The stiffness matrices are obtained based on the strain smoothing technique over the smoothing domains and the constant strains on triangular sub-domains associated with the nodes of the elements. The discrete shear gap (DSG) method is incorporated into the AαFEM to eliminate transverse shear locking and an improved triangular element termed as AαDSG3 is proposed. Several numerical examples are then given to demonstrate the effectiveness of the AαDSG3.

Original languageEnglish
Pages (from-to)7324-7348
Number of pages25
JournalApplied Mathematics and Computation
Volume217
Issue number17
DOIs
Publication statusPublished - 2011 May 1
Externally publishedYes

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Keywords

  • Alpha finite element method (AαFEM)
  • Discrete shear gap (DSG)
  • Finite element method
  • Laminated composite plates
  • Transverse shear locking

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics

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