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High Speed Deformation of Shells

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High Velocity Deformation of Solids

Abstract

In general thin elastic shells subject to a dominantly compressive membrane stress state show a tendency to buckle explosively. The shell will then deform with considerable speed so that it can only be observed using a high speed camera. Furthermore, the loss of stability occurs at loads far below the exact branching loads predicted theoretically. It was not until the pioneering work of von Karman and Koiter that this problem became reasonably understood.1–12 This was achieved by considering the nonlinear problem of the shell post buckling behaviour. The complimentary character of von Karman’s large deflection approach and Koiter’s initial post buckling theory was realised in recent years.

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References

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Author information

Authors and Affiliations

  1. University of Riyadh, Saudi Arabia

    M. S. El Naschie

Authors
  1. M. S. El Naschie
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Editor information

Editors and Affiliations

  1. Department of Materials, Institute of Space and Aeronautical Science, University of Tokyo, Japan

    Kozo Kawata (Professor) (Professor)

  2. Department of Aeronautics, Faculty of Engineering, University of Tokyo, Japan

    Jumpei Shioiri (Professor) (Professor)

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© 1979 Springer-Verlag, Berlin/Heidelberg

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El Naschie, M.S. (1979). High Speed Deformation of Shells. In: Kawata, K., Shioiri, J. (eds) High Velocity Deformation of Solids. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-67208-8_33

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  • DOI: https://doi.org/10.1007/978-3-642-67208-8_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-67210-1

  • Online ISBN: 978-3-642-67208-8

  • eBook Packages: Springer Book Archive

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