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Bibliographic Details

Title

Introduction to Linear Shell Theory

Publisher

Gauthier-Villars

Publication Date

2000

Language

English

ISBN 10

2842990684

ISBN 13

9782842990688

Binding

Hardcover

Condition

Bon

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Synopsis

Hardbound. This monograph is a thorough introduction to recent advances in the mathematical theory of linearly elastic shells.

First, it provides a complete analysis of the existence and uniqueness of solutions to the two-dimensional linear membrane, flexural, and Koiter's shell equations. The proofs rely in a crucial way on inequalities of Korn's type on surfaces, which are proved in details.

Second, it shows the method of formal asymptotic expansions, with the thickness as the "small" parameter, provides a very effective strategy for justifying the two fundamental classes of membrane and flexural equations of a linearly elastic shell, thus paving the way for the more advanced justification by means of a convergence analysis also carefully reviewed at the end of this monograph.

The treatment is essentially self-contained. In particular, all the needed preliminaries from differential geometry, including a direct proof of the three-dimensional Korn i

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English below. Ammareal est une librairie professionnelle sp�cialis�e dans le livre d?occasion. Nous exp�dions partout dans le monde. Nous avons plus de 250 000 ouvrages en stock dont un grand nombre de livres techniques et acad�miques. Nous reversons jusqu?� 15% du prix de vente de chaque livre � des organisations caritatives, des biblioth�ques et des associations luttant contre l?illettrisme. Ce que nous ne vendons pas nous le donnons, ce que nous ne donnons pas nous le recyclons. Ammareal is a professional bookseller speciliazed in used books. We ship worldwide. We have more than 250 000 books in stock, including a large number of technical and university-level books. We give back up to 15% of the price of each book to charities, libraries and organizations fighting in favor of literacy. What we do not sell, we give, what we do not give we recycle.

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