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Thin Shell Theory pp 151–208Cite as

Finite Rotations in the Nonlinear Theory of Thin Shells

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Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 240))

Abstract

The theory of finite rotations in thin shells is developed and many shell relations in terms of finite rotations are presented. Three forms of geometric boundary conditions and energetically compatible static boundary conditions are constructed. Various sets of Eulerian and Lagrangean shell equations are discussed and their consistent simplification within the first-approximation geometrically non-linear theory of isotropic elastic shells is given. A classification of shell problems with small, moderate, large and finite rotations is proposed and appropriate sets of simplified shell equations are presented.

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Authors and Affiliations

  1. Institute of Fluid-Flow Machinery, PAN, Gdańsk, Poland

    W. Pietraszkiewicz

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  1. W. Pietraszkiewicz
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Editors and Affiliations

  1. Polish Academy of Sciences, International centre for Mechanical Sciences, Udine, Italy

    W. Olszak

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© 1980 Springer-Verlag Wien

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Pietraszkiewicz, W. (1980). Finite Rotations in the Nonlinear Theory of Thin Shells. In: Olszak, W. (eds) Thin Shell Theory. International Centre for Mechanical Sciences, vol 240. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2442-0_4

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  • DOI: https://doi.org/10.1007/978-3-7091-2442-0_4

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-81602-8

  • Online ISBN: 978-3-7091-2442-0

  • eBook Packages: Springer Book Archive

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