© 1999

Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies

  • Stability is the very essential demand on every structure.

  • This comprehensive monograph elucidates the fundamentals of the three-dimensional theory.

  • Various models of material behavior are treated: elastic, elasto-plastic, viscoelastic and viscoelasto-plastic.


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

Table of contents

  1. Front Matter
    Pages I-XVI
  2. Fundamentals of nonlinear solid mechanics

    1. Front Matter
      Pages 1-1
    2. A. N. Guz
      Pages 3-22
    3. A. N. Guz
      Pages 23-42
    4. A. N. Guz
      Pages 43-62
    5. A. N. Guz
      Pages 63-91
    6. A. N. Guz
      Pages 93-127
    7. A. N. Guz
      Pages 129-153
  3. Fundamentals of linearised solid mechanics

    1. Front Matter
      Pages 155-155
    2. A. N. Guz
      Pages 157-186
    3. A. N. Guz
      Pages 187-216
    4. A. N. Guz
      Pages 217-255
  4. General issues of three-dimensional linearised theory of deformable bodies stability (TLTDBS)

  5. Analysis of the simplest problems

    1. Front Matter
      Pages 387-387

About this book


At the present time stability theory of deformable systems has been developed into a manifold field within solid mechanics with methods, techniques and approaches of its own. We can hardly name a branch of industry or civil engineering where the results of the stability theory have not found their application. This extensive development together with engineering applications are reflected in a flurry of papers appearing in periodicals as well as in a plenty of monographs, textbooks and reference books. In so doing, overwhelming majority of researchers, con­ cerned with the problems of practical interest, have dealt with the loss of stability in the thin-walled structural elements. Trying to simplify solution of the problems, they have used two- and one-dimensional theories based on various auxiliary hypotheses. This activity contributed a lot to the preferential development of the stability theory of thin-walled structures and organisation of this theory into a branch of solid mechanics with its own up-to-date methods and trends, but left three-dimensional linearised theory of deformable bodies stability (TL TDBS), methods of solving and solutions of the three-dimensional stability problems themselves almost without attention. It must be emphasised that by three­ dimensional theories and problems in this book are meant those theories and problems which do not draw two-dimensional plate and shell and one-dimensional rod theories.


mechanics solid stability structures

Authors and affiliations

  1. 1.Institute of MechanicsNational Academy of Sciences of UkraineKievUkraine

Bibliographic information

  • Book Title Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies
  • Authors A.N. Guz
  • Series Title Foundations of Engineering Mechanics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-63721-9
  • Softcover ISBN 978-3-662-21923-2
  • eBook ISBN 978-3-540-69633-9
  • Series ISSN 1612-1384
  • Series E-ISSN 1860-6237
  • Edition Number 1
  • Number of Pages XVI, 557
  • Number of Illustrations 25 b/w illustrations, 0 illustrations in colour
  • Topics Solid Mechanics
    Solid Mechanics
    Computational Intelligence
    Classical Mechanics
  • Buy this book on publisher's site
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