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Introduction into Finite-Rotation Shell Theories and Their Operator Formulation

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Computational Mechanics of Nonlinear Response of Shells

Part of the book series: Springer Series in Computational Mechanics ((SSCMECH))

Summary

In this paper a five-parametric shell theory valid for finite rotations is derived and discussed under different aspects. Its transformation into a KIRCHHOFF-LOVE type theory is demonstrated. The paper continues with the operator formulation of this theory, highly suitable for numerical applications. This formulation permits, in particular, a general discussion of consistency properties. Finally, the discretization of the nonlinear operators by finite-elements is shown and examples are given demonstrating the efficiency of finite-rotation shell theories presented.

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References

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Authors and Affiliations

  1. Institut für Statik und Dynamik, Ruhr-Universität, Bochum, Deutschland

    Y. Başar & W. B. Krätzig

Authors
  1. Y. Başar
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  2. W. B. Krätzig
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Editor information

Editors and Affiliations

  1. Institut für Statik und Dynamik, Ruhr-Universität Bochum, Universitätsstraße 150, 4630, Bochum, Germany

    Wilfried B. Krätzig

  2. Escola Tècnica Superior d’Enginyers de Caminos Canales y Puertos, Universidad Politècnica de Catalunya, Jordi Girona Salgado, 31, 08034, Barcelona, Spain

    Eugenio Oñate

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© 1990 Springer-Verlag Berlin Heidelberg

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Başar, Y., Krätzig, W.B. (1990). Introduction into Finite-Rotation Shell Theories and Their Operator Formulation. In: Krätzig, W.B., Oñate, E. (eds) Computational Mechanics of Nonlinear Response of Shells. Springer Series in Computational Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84045-6_1

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  • DOI: https://doi.org/10.1007/978-3-642-84045-6_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84047-0

  • Online ISBN: 978-3-642-84045-6

  • eBook Packages: Springer Book Archive

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