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  • Book
  • © 2013

Nonlinear Behaviour and Stability of Thin-Walled Shells

  • Critical load estimates for the most popular thin-walled structures
  • Treats complete pattern of post-critical branches for the non-linear boundary problem of shell theory
  • One-stop resource
  • Includes supplementary material: sn.pub/extras

Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 199)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-vii
  2. In Lieu of Introduction

    • Natalia I. Obodan, Olexandr G. Lebedeyev, Vasilii A. Gromov
    Pages 1-10
  3. Boundary Problem of Thin Shells Theory

    • Natalia I. Obodan, Olexandr G. Lebedeyev, Vasilii A. Gromov
    Pages 11-27
  4. Branching of Nonlinear Boundary Problem Solutions

    • Natalia I. Obodan, Olexandr G. Lebedeyev, Vasilii A. Gromov
    Pages 29-38
  5. Numerical Method

    • Natalia I. Obodan, Olexandr G. Lebedeyev, Vasilii A. Gromov
    Pages 39-51
  6. Non-Axisymmetrically Loaded Cylindrical Shell

    • Natalia I. Obodan, Olexandr G. Lebedeyev, Vasilii A. Gromov
    Pages 53-86
  7. Structurally Non-Axisymmetric Shell Subjected to Uniform Loading

    • Natalia I. Obodan, Olexandr G. Lebedeyev, Vasilii A. Gromov
    Pages 87-114
  8. Postcritical Branching Patterns for Cylindrical Shell Subjected to Uniform External Loading

    • Natalia I. Obodan, Olexandr G. Lebedeyev, Vasilii A. Gromov
    Pages 115-141
  9. Postbuckling Behaviour and Stability of Anisotropic Shells

    • Natalia I. Obodan, Olexandr G. Lebedeyev, Vasilii A. Gromov
    Pages 143-175
  10. Conclusion

    • Natalia I. Obodan, Olexandr G. Lebedeyev, Vasilii A. Gromov
    Pages 177-178

About this book

This book focuses on the nonlinear behaviour of thin-wall shells (single- and multilayered with delamination areas) under various uniform and non-uniform loadings.
The dependence of critical (buckling) load upon load variability is revealed to be highly non-monotonous, showing minima when load variability is close to the eigenmode variabilities of solution branching points of the respective nonlinear boundary problem.
A novel numerical approach is employed to analyze branching points and to build primary, secondary, and tertiary bifurcation paths of the nonlinear boundary problem for the case of uniform loading. The load levels of singular points belonging to the paths are considered to be critical load estimates for the case of non-uniform loadings.

Authors and Affiliations

  • Oles Honchar Dnepropetrovsk National Uni, Dnepropetrovsk, Ukraine

    Natalia I. Obodan, Vasilii A. Gromov

  • Atlantis Industrial Systems, Dnepropetrovsk, Ukraine

    Olexandr G. Lebedeyev

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access