
The Finite Element Analysis of Shells - Fundamentals
Springer (Publisher)
1st Edition
Published on 6. March 2011
Book
Paperback/Softback
XIII, 330 pages
978-3-642-07459-2 (ISBN)
Article exhausted; check different version
Description
The authors present a modern continuum mechanics and mathematical framework to study shell physical behaviors, and to formulate and evaluate finite element procedures. With a view towards the synergy that results from physical and mathematical understanding, the book focuses on the fundamentals of shell theories, their mathematical bases and finite element discretizations. The complexity of the physical behaviors of shells is analysed, and the difficulties to obtain uniformly optimal finite element procedures are identified and studied. Some modern finite element methods are presented for linear and nonlinear analyses. A state of the art monograph by leading experts.
Reviews / Votes
From the reviews:"The major part of the book focuses on the linear analysis of shell structures, for which a discussion of the available mathematical models and discretization procedures is given. . The aim of the present volume is to provide more powerful finite element methods by a deeper physical understanding of shell structural behavior and application of stronger mathematical theories. . This well-written text is not just a survey of finite element methods for shell analyses, but presents the authors' experiences with shell analysis methods." (K.Marti, ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 85 (2), 2005)"If we are aware of the rising application of finite shell elements in industrial applications and of the growing size of the problems, an increase of mathematical knowledge for element use and development seems to be required. Just this is the aim of the present book .. This book is recommended to all 'applied mechanicians', who intend to study the mathematical backgrounds of finite shell analyses. For all developers of advanced and more powerful finite shell element techniques, its reading is a 'must'." (Technische Mechanik, Vol. 24 (1), 2004)"The main objective is to combine the fundamentals of shell theories, mathematical analyses and finite element methods in order to develop shell finite element approximations which are reliable and effective. . The expertises of both authors combined with a very clear and attractive presentation lead to a wonderful masterpiece which is, with no doubt and for a long time, the great reference book for the development of accurate and reliable numerical methods in the thin shell world." (Michel Bernadou, Zentralblatt MATH, Vol. 1103 (5), 2007)More details
Series
Edition
1., st Edition. Softcover version of original hardcover edition 2003
Language
English
Place of publication
Berlin
Germany
Target group
Professional and scholarly
Research
Illustrations
88
88 s/w Abbildungen
88 black & white illustrations
Dimensions
Height: 23.5 cm
Width: 15.5 cm
ISBN-13
978-3-642-07459-2 (9783642074592)
Schweitzer Classification
Other editions
Additional editions

Dominique Chapelle | Klaus-Jurgen Bathe
The Finite Element Analysis of Shells - Fundamentals
E-Book
03/2013
1st Edition
Springer
€85.59
Available for download

Dominique Chapelle | Klaus-Jurgen Bathe
The Finite Element Analysis of Shells - Fundamentals
Fundamentals
Book
03/2003
Springer
€85.59
Article exhausted; check for reprint
Content
Introduction.- Geometrical Preliminaries.- Elements of Functional and Numerical Analysis.- Shell Mathematical Models.- Asymptotic Behaviors of Shell Models.- Displacement-Based Shell Finite Elements.- Influence of the Thickness in the Finite Element Approximation.- Towards the Formulation of Effective General Shell Elements.- On the Nonlinear Analysis of Shells.