Geometrically nonlinear analysis of shell structures using a flat triangular shell finite element

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42 Scopus citations

Abstract

This paper presents a state of the art review on geometrically nonlinear analysis of shell structures that is limited to the co-rotational approach and to flat triangular shell finite elements. These shell elements are built up from flat triangular membranes and plates. We propose an element comprised of the constant strain triangle (CST) membrane element and the discrete Kirchhoff (DKT) plate element and describe its formulation while stressing two main issues: the derivation of the geometric stiffness matrix and the isolation of the rigid body motion from the total deformations. We further use it to solve a broad class of problems from the literature to validate its use.

Original languageEnglish
Pages (from-to)331-388
Number of pages58
JournalArchives of Computational Methods in Engineering
Volume13
Issue number3
DOIs
StatePublished - 4 Dec 2006

ASJC Scopus subject areas

  • Computer Science Applications
  • Applied Mathematics

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