The Finite Element Analysis of Shells: Fundamentals (Hardcover)

~ Klaus-Jurgen Bathe (Author), Dominique Chapelle (Author)
Key Phrases: basic shell model, membrane energy norm, membrane norm, Céa's Lemma (more...)

Editorial Reviews

Review

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)

Product Description

Shell structures are found abundantly in engineering designs and are routinely analysed with finite element methods. The objective of this book is to present, in a unified manner, modern finite element procedures for general shell analysis. The first chapters introduce the basic concepts for the analysis of shells, explain the mathematical preliminaries, and discuss the mathematical models of plates and shells including their asymptotic properties. The following chapters deal with finite element discretization methods for plates and shells. At the end of the book, applications of these methods in modern engineering practice are described and an overview of nonlinear shell analysis is given.

Product Details

• Hardcover: 330 pages
• Publisher: Springer; 1 edition (May 29, 2003)
• Language: English
• ISBN-10: 3540413391
• ISBN-13: 978-3540413394
• Product Dimensions: 9.4 x 6.3 x 1 inches
• Shipping Weight: 1.3 pounds (View shipping rates and policies)
• Average Customer Review: 4.3 out of 5 stars  See all reviews (11 customer reviews)
• Amazon.com Sales Rank: #1,415,962 in Books (See Bestsellers in Books)

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Customer Reviews

Most Helpful Customer Reviews

4 of 4 people found the following review helpful:

5.0 out of 5 stars finite element analysis of shells in depth, December 16, 2003

By A Customer

This is the first (and only) book I have come across which gives a deep and comprehensive analysis of finite element methods for shell structures. The authors take a mathematical approach to the problem, and do a very nice job. Traditionally, finite element procedures for shells have been formulated intuitively hence resulting in mixed success. Mathematical analyses of finite element formulations give a deeper and meaningful insight into the underlying mathematical theory and the reasons why some formulations perform much better than others. This deeper mathematical understanding in turn gives better insight into the physical behaviour of shells as limiting cases are approached (i.e thin shells etc.). Research in finite element analysis, including shells, is very much alive and still has a lot of potential. This book is very valuable for people who want to dig further into mathematical aspects of finite element formulations, and are not just content with "coding" an existing formulation. This is not a "recipe" book, but a book which teaches you how to come up with new, mathematically consistent and meaningful formulations.

4 of 4 people found the following review helpful:

5.0 out of 5 stars An important reference for shell structure mechanics, August 27, 2003

By A Customer

This book clearly explains shell structure mechanics from a mathematical and practical perspective. As a practicing engineer and finite element user, I found it extremely useful and easy to understand. This is also an invaluable reference for graduate students in applied mechanics. I think it will be a classic reference in that field.

4 of 4 people found the following review helpful:

5.0 out of 5 stars An excellent book on Shells, August 26, 2003

By A Customer

This is an excellent book for anybody interested in the analysis of shells. It uniquely presents the physical and mathematical aspects of shell behavior, and their finite element analysis. I believe this book is a MUST for researchers and practioners.