Computational Fluid and Solid Mechanics

The Finite Element Analysis of Shells - Fundamentals

Authors: Chapelle, Dominique, Bathe, Klaus-Jurgen

  • State-of-the-art monograph by the leading experts
  • Introduces the subject systematically and in a unified manner
  • Describes the application of advanced methods in engineering practice
  • Gives an overview of nonlinear methods
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eBook $69.99
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  • ISBN 978-3-662-05229-7
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About this book

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.

Reviews

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)


Table of contents (9 chapters)

  • Introduction

    Chapelle, Dominique (et al.)

    Pages 1-6

  • Geometrical Preliminaries

    Chapelle, Dominique (et al.)

    Pages 7-38

  • Elements of Functional and Numerical Analysis

    Chapelle, Dominique (et al.)

    Pages 39-80

  • Shell Mathematical Models

    Chapelle, Dominique (et al.)

    Pages 81-114

  • Asymptotic Behaviors of Shell Models

    Chapelle, Dominique (et al.)

    Pages 115-169

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-662-05229-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
The Finite Element Analysis of Shells - Fundamentals
Authors
Series Title
Computational Fluid and Solid Mechanics
Copyright
2003
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-05229-7
DOI
10.1007/978-3-662-05229-7
Series ISSN
1860-482X
Edition Number
1
Number of Pages
XI, 330
Topics