Geometrically nonlinear analysis of shells by quadrilateral flat shell element with drill, shear, and warping

Yi Qun Tang, Zhi Hua Zhou, Siu Lai Chan

Research output: Journal article publicationJournal articleAcademic researchpeer-review

17 Citations (Scopus)


In this paper, a four-node quadrilateral flat shell element is proposed for geometrically nonlinear analysis based on updated Lagrangian formulation with the co-rotational kinematics concept. The flat shell element combines the membrane element with drilling degrees of freedom and the plate element with shear deformation. By means of these linearized elements, a simplified nonlinear analysis procedure allowing for warping of the flat shell element and large rotation is proposed. The tangent stiffness matrix and the internal force recovery are formulated in this paper. Several classic benchmark examples are presented to validate the accuracy and efficiency of the proposed new and more proficient element for practical engineering analysis of shell structures.
Original languageEnglish
Pages (from-to)1248-1272
Number of pages25
JournalInternational Journal for Numerical Methods in Engineering
Issue number10
Publication statusPublished - 7 Dec 2016


  • drilling degree of freedom
  • geometric nonlinear
  • large rotation
  • quadrilateral flat shell element
  • shear deformation
  • warping

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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