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

Author:   A.N. Guz ,  M. Kashtalian
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   Softcover reprint of the original 1st ed. 1999
ISBN:  

9783662219232


Pages:   557
Publication Date:   03 October 2013
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies


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Overview

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.

Full Product Details

Author:   A.N. Guz ,  M. Kashtalian
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1999
Dimensions:   Width: 15.50cm , Height: 2.90cm , Length: 23.50cm
Weight:   0.872kg
ISBN:  

9783662219232


ISBN 10:   3662219239
Pages:   557
Publication Date:   03 October 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1. Fundamentals of nonlinear solid mechanics.- 1 Essentials of tensor analysis.- 2 Description of state of strain.- 3 Description of state of stress.- 4 Elastic solids.- 5 Plastic solids.- 6 Solids with rheological properties.- 2. Fundamentals of linearised solid mechanics.- 7 States of stress and strain.- 8 Elastic solids.- 9 Non-elastic solids.- 3. General issues of three-dimensional linearised theory of deformable bodies stability (TLTDBS).- 10 Stability criteria for deformable bodies.- 11 General statement of stability problem for deformable bodies.- 12 Sufficient conditions of applicability of the static method.- 13 Variational principles.- 14 General solutions for uniform precritical states.- 15 Approximate approach in three-dimensional theory of stability.- 4. Analysis of the simplest problems.- 16 All-round compression of isotropic simply connected body. Application of the integral stability criteria.- 17 Internal (structural) instability. Properties of the basic system of simultaneous equations.- 18 Near-the-surface instability. Problems for semi-restricted regions.- 19 Compression of a strip (plane strain problem).- 20 Compression of high-elastic non-circular cylindrical body. Implementation of variational principles.- Supplement. Exact solutions of mixed plane problems of linearised solid mechanics.- References.- References supplement.- Biography.

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