Introduction to Linear Shell Theory. This item is unavailable.
Language: English
Published by Gauthier-Villars, 1998
- Softcover
- Used
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- Title
- Introduction to Linear Shell Theory
- Author
- Ciarlet, Philippe G., Ciarlet, P. G.
- Publisher
- Gauthier-Villars
- Publication year
- 1998
- Condition
- Fine
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 2842990595
- ISBN 13
- 9782842990596
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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