A smoothed finite element method for shell analysis

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

Research output: Contribution to journalArticle

178 Citations (Scopus)

Abstract

A four-node quadrilateral shell element with smoothed membrane-bending based on Mindlin-Reissner theory is proposed. The element is a combination of a plate bending and membrane element. It is based on mixed interpolation where the bending and membrane stiffness matrices are calculated on the boundaries of the smoothing cells while the shear terms are approximated by independent interpolation functions in natural coordinates. The proposed element is robust, computationally inexpensive and free of locking. Since the integration is done on the element boundaries for the bending and membrane terms, the element is more accurate than the MITC4 element for distorted meshes. This will be demonstrated for several numerical examples.

Original languageEnglish
Pages (from-to)165-177
Number of pages13
JournalComputer Methods in Applied Mechanics and Engineering
Volume198
Issue number2
DOIs
Publication statusPublished - 2008 Dec 1
Externally publishedYes

Fingerprint

finite element method
membranes
Membranes
Finite element method
Reissner theory
interpolation
Interpolation
stiffness matrix
Stiffness matrix
smoothing
locking
mesh
shear
cells

Keywords

  • MITC4 elements
  • Shell elements
  • Smoothed finite elements (SFEM)

ASJC Scopus subject areas

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

Cite this

A smoothed finite element method for shell analysis. / Nguyen-Thanh, N.; Rabczuk, Timon; Nguyen-Xuan, H.; Bordas, Stéphane P A.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 198, No. 2, 01.12.2008, p. 165-177.

Research output: Contribution to journalArticle

Nguyen-Thanh, N, Rabczuk, T, Nguyen-Xuan, H & Bordas, SPA 2008, 'A smoothed finite element method for shell analysis', Computer Methods in Applied Mechanics and Engineering, vol. 198, no. 2, pp. 165-177. https://doi.org/10.1016/j.cma.2008.05.029
Nguyen-Thanh, N. ; Rabczuk, Timon ; Nguyen-Xuan, H. ; Bordas, Stéphane P A. / A smoothed finite element method for shell analysis. In: Computer Methods in Applied Mechanics and Engineering. 2008 ; Vol. 198, No. 2. pp. 165-177.
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