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Asymptotical Mechanics of Thin-Walled Structures

  • Book
  • © 2004

Overview

Authors:
  1. I. Andrianov

    1. Köln, Germany
      Pridneprovskaya State Academy of Civil Engineering and Architecture, Dnepropetrovk, Ukraine

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  2. J. Awrejcewicz

    1. Dept. of Automatics and Biomechanics, Technical University Lodz, Lodz, Poland

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  3. L. I. Manevitch

    1. N. N. Semenov Institute of Chemical Physics RAS, Moscow, Russian Federation

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  • A detailed and systematic treatment of asymptotic methods in the theory of plates and shells
  • Includes supplementary material: sn.pub/extras

Part of the book series: Foundations of Engineering Mechanics (FOUNDATIONS)

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Table of contents (17 chapters)

  1. Front Matter

    Pages N1-18
    Download chapter PDF

  2. Asymptotic Approximations

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch
    Pages 19-45

  3. Regular Perturbations of Parameters

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch
    Pages 47-116

  4. Singular Perturbation Problems

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch
    Pages 117-156

  5. Boundary Value Problems of Isotropic Cylindrical Shells

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch
    Pages 157-167

  6. Boundary Value Problems — Orthotropic Shells

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch
    Pages 169-199

  7. Composite Boundary Value Problems — Isotropic Shells

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch
    Pages 201-222

  8. Composite Boundary Value Problems — Orthotropic Shells

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch
    Pages 223-240

  9. Averaging

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch
    Pages 241-258

  10. Continualization

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch
    Pages 259-266

  11. Homogenization

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch
    Pages 267-331

  12. Intermediate Asymptotics — Dynamical Edge Effect Method

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch
    Pages 333-362

  13. Localization

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch
    Pages 363-376

  14. Improvement of Perturbation Series

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch
    Pages 377-416

  15. Matching of Limiting Asymptotic Expansions

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch
    Pages 417-433

  16. Complex Variables in Nonlinear Dynamics

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch
    Pages 435-462

  17. Other Asymptotical Approaches

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch
    Pages 463-481

  18. Afterword

    • I. Andrianov, J. Awrejcewicz, L. I. Manevitch
    Pages 483-487

  19. Back Matter

    Pages 489-535
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Keywords

About this book

In this book a detailed and systematic treatment of asymptotic methods in the theory of plates and shells is presented. The main features of the book are the basic principles of asymptotics and their applications, traditional approaches such as regular and singular perturbations, as well as new approaches such as the composite equations approach. The book introduces the reader to the field of asymptotic simplification of the problems of the theory of plates and shells and will be useful as a handbook of methods of asymptotic integration. Providing a state-of-the-art review of asymptotic applications, this book will be useful as an introduction to the field for novices as well as a reference book for specialists.

Authors and Affiliations

  • Köln, Germany

    I. Andrianov

  • Pridneprovskaya State Academy of Civil Engineering and Architecture, Dnepropetrovk, Ukraine

    I. Andrianov

  • Dept. of Automatics and Biomechanics, Technical University Lodz, Lodz, Poland

    J. Awrejcewicz

  • N. N. Semenov Institute of Chemical Physics RAS, Moscow, Russian Federation

    L. I. Manevitch

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