Skip to main content
SpringerLink
Log in
Book cover

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

  • Book
  • © 1999

Overview

Authors:
  1. A. N. Guz

    1. Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • 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.
  • Includes supplementary material: sn.pub/extras

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as 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

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (20 chapters)

  1. Front Matter

    Pages I-XVI
    Download chapter PDF

  2. Fundamentals of nonlinear solid mechanics

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Essentials of tensor analysis

      • A. N. Guz
      Pages 3-22

    3. Description of state of strain

      • A. N. Guz
      Pages 23-42

    4. Description of state of stress

      • A. N. Guz
      Pages 43-62

    5. Elastic solids

      • A. N. Guz
      Pages 63-91

    6. Plastic solids

      • A. N. Guz
      Pages 93-127

    7. Solids with rheological properties

      • A. N. Guz
      Pages 129-153

  3. Fundamentals of linearised solid mechanics

    1. Front Matter

      Pages 155-155
      Download chapter PDF

    2. States of stress and strain

      • A. N. Guz
      Pages 157-186

    3. Elastic solids

      • A. N. Guz
      Pages 187-216

    4. Non-elastic solids

      • A. N. Guz
      Pages 217-255

  4. General issues of three-dimensional linearised theory of deformable bodies stability (TLTDBS)

    1. Front Matter

      Pages 257-257
      Download chapter PDF

    2. Stability criteria for deformable bodies

      • A. N. Guz
      Pages 259-274

    3. General statement of stability problem for deformable bodies

      • A. N. Guz
      Pages 275-294

    4. Sufficient conditions of applicability of the static method

      • A. N. Guz
      Pages 295-308

    5. Variational principles

      • A. N. Guz
      Pages 309-328

    6. General solutions for uniform precritical states

      • A. N. Guz
      Pages 329-379

    7. Approximate approach in three-dimensional theory of stability

      • A. N. Guz
      Pages 381-386

  5. Analysis of the simplest problems

    1. Front Matter

      Pages 387-387
      Download chapter PDF
Back to top

Keywords

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.

Authors and Affiliations

  • Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine

    A. N. Guz

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation