This book presents 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. In this Second Edition the authors give new developments in the field and - to make the book more complete - more explanations throughout the text, an enlarged section on general variational formulations and new sections on 3D-shell models, dynamic analyses, and triangular elements. The analysis of shells represents one of the most challenging fields in all of mechanics, and encompasses various fundamental and generally applicable components. Specifically, the material presented in this book regarding geometric descriptions, tensors and mixed variational formulations is fundamental and widely applicable also in other areas of mechanics.
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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)
--This text refers to an out of print or unavailable edition of this title.From the Back Cover
This book presents 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. In this Second Edition the authors give new developments in the field and - to make the book more complete - more explanations throughout the text, an enlarged section on general variational formulations and new sections on 3D-shell models, dynamic analyses, and triangular elements. The analysis of shells represents one of the most challenging fields in all of mechanics, and encompasses various fundamental and generally applicable components. Specifically, the material presented in this book regarding geometric descriptions, tensors and mixed variational formulations is fundamental and widely applicable also in other areas of mechanics.
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Most Helpful Customer Reviews
5 of 5 people found the following review helpful
Format:Hardcover
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.
5 of 5 people found the following review helpful
Format:Hardcover
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.
5 of 5 people found the following review helpful
Format:Hardcover
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.
Most Recent Customer Reviews
A thought-provoking treatise
It is an understatement to call this book excellent! Development of robust and reliable computational techniques for shell analysis continues to be a most challenging task. Read more
Published on September 7, 2004 by r. viewer
Useless for most people
The book is probably good for researchers. It is however not suitable for beginners or practitioners.
Published on October 1, 2003
A great book
The book "The Finite Element Analysis of Shells - Fundamentals" represents a unique contribution to the field. Read more
Published on August 21, 2003
Milestone in finite element analysis of shells
I thinks that this book is a milestone in finite element analysis of shells.
This provides valuable insight of shell mechanics and of its finite element formulation. Read more
This provides valuable insight of shell mechanics and of its finite element formulation. Read more
Published on August 18, 2003
Chapelle-Bathe book
This is a great book for anybody working deeply in shell analysis. The authors bring mathematical concepts and physical
understanding together like no other available book. Read more
understanding together like no other available book. Read more
Published on August 14, 2003
A most valuable & informative book on shells
We all know KJ Bathe's books and here is another most valuable contribution. While the text is demanding, the physical and mathematical expositions of shell analysis are clearly... Read more
Published on August 14, 2003
review
This is an excellent book on the finite element analysis of shells, and is a must read for anybody working in the field. The book will clearly become a classic!
Published on August 14, 2003
Most useless book
This is book is so theoretical that is probably only for few professors in the whole world like the authors themselves. Read more
Published on July 31, 2003
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