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A General Formula of the Curved Shell Elements and Adaptive Mesh Method in the Nonconservative Finite Deformation Analysis

  • Y. T. Zhang
  • H. Y. Yang
  • J. Y. Zhang
Conference paper

Summary

This paper presents a general formula of the curved shell in finite deformation analysis. The displacement field at a point P (3, n, ℨ) within a element is discribed using the vector Ei and the Fi. The Ei is the displacement vector of node i in the mid-surface of shell, the vector Fi is the difference of the two unit normal vectors at node i in deformed and initial configurations. This formula is a general form and simpler than the existing ones[1],[2]. That is on the basis of simple and important physical concept that in the finite deformation the displacement vectors can be added and the rotation ones can’t. It is convenient to apply this formula to some nonconservative finite deformation analysis.

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References

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    Surana, K.S., ‘Geometrically Nonlinear Formulation For the Curved Shell Element’, Int. J. Num. Meth. Engng, Vol. 19 (1983), 581–615.zbMATHCrossRefGoogle Scholar
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    Zhang, L. and Xia, Y.R., ‘The Geometrically Nonlinear Analysis on the Curved Shell elements’, 2nd Chinese National Conference on Calculating Mechanics’, No. 83681, Aug. 1986.Google Scholar
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    Xiong, Y.X., ‘Variational Principles of Finite Deformation of Elesticity in Nonconservative System’, Acta Mechanica Sinica, Vol. 15, 1 (1983), 86–90.Google Scholar
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    Argyris, J.H. and Symeonidis, Sp., ‘Nonlinear Finite Element Analysis of Elastic Systems Under Nonconservative Loading-Natural Formulation, Part 1 Quastatic Problem’, Comp. Meths. Appl. Mech. Engng., Vol. 26, 1 (1981), 75–123.MathSciNetzbMATHCrossRefGoogle Scholar
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    Weng, S.C. and Lin, Y.D. etc.,- The Foundation on Designing Elastic Elements in Gauges, Beijing, 1982.Google Scholar

Copyright information

© Martinus Nijhoff Publishers, Dordrecht 1987

Authors and Affiliations

  • Y. T. Zhang
    • 1
  • H. Y. Yang
    • 1
  • J. Y. Zhang
    • 1
  1. 1.Department of MechanicsTianjin UniversityTianjinChina

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