An alternative alpha finite element method (AαFEM) for free and forced structural vibration using triangular meshes

N. Nguyen-Thanh, Timon Rabczuk, H. Nguyen-Xuan, Stéphane P.A. Bordas

Research output: Contribution to journalArticlepeer-review

47 Citations (Scopus)

Abstract

An alternative alpha finite element method (AαFEM) using triangular elements is proposed that significantly improves the accuracy of the standard triangular finite elements and provides a superconvergent solution in the energy norm for the static analysis of two-dimensional solid mechanics problems. In the AαFEM, the piecewise constant strain field of linear triangular FEM models is enhanced by additional strain terms with an adjustable parameter α which results in an effectively softer stiffness formulation compared to a linear triangular element. The element is further extended to the free and forced vibration analyses of solids. Several numerical examples show that the AαFEM achieves high reliability compared to other existing elements in the literature.

Original languageEnglish
Pages (from-to)2112-2135
Number of pages24
JournalJournal of Computational and Applied Mathematics
Volume233
Issue number9
DOIs
Publication statusPublished - 2010 Mar 1

Keywords

  • Alpha finite element method (αFEM)
  • Finite element method (FEM)
  • Node-based smoothed finite element method (NS-FEM)
  • Numerical methods

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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