Asymptotic Methods in the Buckling Theory of Elastic Shells






Asymptotic Methods in the Buckling Theory of Elastic Shells



Preface

Many publications both in Russia and abroad are devoted to the analysis of the buckling of thin-walled structures, and the solutions of many important problems have been obtained. In spite of the variety of books that are avail-

able on this subject however, there is no one book which contains a general overview of buckling problems and sound base of methodology for the qualita-

tive study of a large number of different types of problems. This gap may be partially filled by the monograph "Asymptotic Methods in Buckling Theory of Elastic Shells", which is a revised and extended edition of the monograph "The Stability of Thin Shells. Asymptotic Methods" by P.E. Tovstik published in 1995 in Russian.

The book contains numerous results developed by the authors and their pupils by means of the application of asymptotic methods to the problem of shell buckling. Previously these methods have been applied to problems of shell statics and vibrations.

There are many new results in this rather compact book. The static stabili-

ty problem for the case of small membrane deformations and angles of rotation is studied completely. In the general formulation, the principal questions on the development of local buckling modes are studied. The results presented give a clear, qualitative picture which is necessary for further development of modern numerical methods.

One of the unique features of the book is the large bibliography of litera-

ture on the application of asymptotic methods to the problems of thin shell buckling. The reference list includes Western as well as the Russian literature on asymptotic methods. The Russian material has generally been translated into English but is still not widely known, despite the high standards prevalent in this body of research.

The book is directed both to researchers working on the analysis and con-

struction of thin-walled structures and continuous media and also to math-

ematicians who are interested in the application of asymptotic methods to



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