Advertisement

Nonlinear Behaviour and Stability of Thin-Walled Shells

  • Natalia I. Obodan
  • Olexandr G. Lebedeyev
  • Vasilii A. Gromov

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

Table of contents

  1. Front Matter
    Pages i-vii
  2. Natalia I. Obodan, Olexandr G. Lebedeyev, Vasilii A. Gromov
    Pages 1-10
  3. Natalia I. Obodan, Olexandr G. Lebedeyev, Vasilii A. Gromov
    Pages 11-27
  4. Natalia I. Obodan, Olexandr G. Lebedeyev, Vasilii A. Gromov
    Pages 29-38
  5. Natalia I. Obodan, Olexandr G. Lebedeyev, Vasilii A. Gromov
    Pages 39-51
  6. Natalia I. Obodan, Olexandr G. Lebedeyev, Vasilii A. Gromov
    Pages 53-86
  7. Natalia I. Obodan, Olexandr G. Lebedeyev, Vasilii A. Gromov
    Pages 87-114
  8. Natalia I. Obodan, Olexandr G. Lebedeyev, Vasilii A. Gromov
    Pages 115-141
  9. Natalia I. Obodan, Olexandr G. Lebedeyev, Vasilii A. Gromov
    Pages 143-175
  10. Natalia I. Obodan, Olexandr G. Lebedeyev, Vasilii A. Gromov
    Pages 177-178

About this book

Introduction

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.

Keywords

Buckling Non-linear Post-critical Deformation SMIA Secondary and Tertiary Bifurcation Paths Stability of Thin-walled Shells

Authors and affiliations

  • Natalia I. Obodan
    • 1
  • Olexandr G. Lebedeyev
    • 2
  • Vasilii A. Gromov
    • 3
  1. 1.Oles Honchar Dnepropetrovsk National UniDnepropetrovskUkraine
  2. 2.Atlantis Industrial SystemsDnepropetrovskUkraine
  3. 3.Oles Honchar Dnepropetrovsk National UniDnepropetrovskUkraine

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-007-6365-4
  • Copyright Information Springer Science+Business Media Dordrecht 2013
  • Publisher Name Springer, Dordrecht
  • eBook Packages Engineering
  • Print ISBN 978-94-007-6364-7
  • Online ISBN 978-94-007-6365-4
  • Series Print ISSN 0925-0042
  • Buy this book on publisher's site