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Geometric Method for Stability of Non-Linear Elastic Thin Shells

Authors: Ivanova, Jordanka, Pastrone, Franco

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About this book

PREFACE This book deals with the new developments and applications of the geometric method to the nonlinear stability problem for thin non-elastic shells. There are no other published books on this subject except the basic ones of A. V. Pogorelov (1966,1967,1986), where variational principles defined over isometric surfaces, are postulated, and applied mainly to static and dynamic problems of elastic isotropic thin shells. A. V. Pogorelov (Harkov, Ukraine) was the first to provide in his monographs the geometric construction of the deformed shell surface in a post-critical stage and deriving explicitely the asymptotic formulas for the upper and lower critical loads. In most cases, these formulas were presented in a closed analytical form, and confirmed by experimental data. The geometric method by Pogorelov is one of the most important analytical methods developed during the last century. Its power consists in its ability to provide a clear geometric picture of the postcritical form of a deformed shell surface, successfully applied to a direct variational approach to the nonlinear shell stability problems. Until now most Pogorelov's monographs were written in Russian, which limited the diffusion of his ideas among the international scientific community. The present book is intended to assist and encourage the researches in this field to apply the geometric method and the related results to everyday engineering practice.

Table of contents (6 chapters)

  • Postcritical Deformations of Thin Anisotropic Shells

    Ivanova, Jordanka (et al.)

    Pages 1-64

  • Postcritical Deformations of Thin Elastic Anisotropic Shells with Linear Memory

    Ivanova, Jordanka (et al.)

    Pages 65-86

  • Variational Principle for the Global Stability of Elasto-Plastic Thin Shells

    Ivanova, Jordanka (et al.)

    Pages 87-107

  • Instability of Thin Elastic and Elasto-Plastic Orthotropic Shells under Combined Static and Dynamic Loading

    Ivanova, Jordanka (et al.)

    Pages 109-167

  • Crushing of Plastic Cylindrical Shells Sensitive to the Strain Rate under Axial Impact

    Ivanova, Jordanka (et al.)

    Pages 169-204

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-1-4615-1511-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-0-7923-7524-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.99
price for USA in USD
  • ISBN 978-1-4613-5590-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Geometric Method for Stability of Non-Linear Elastic Thin Shells
Authors
Copyright
2002
Publisher
Springer US
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4615-1511-1
DOI
10.1007/978-1-4615-1511-1
Hardcover ISBN
978-0-7923-7524-1
Softcover ISBN
978-1-4613-5590-8
Edition Number
1
Number of Pages
XIII, 244
Number of Illustrations and Tables
1 b/w illustrations
Topics