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The Finite Element Analysis of Shells - Fundamentals

  • Book
  • © 2011

Overview

Authors:
  1. Dominique Chapelle

    1. Domaine de Voluceau-Rocquencourt, INRIA, Le Chesnay CX, France

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    You can also search for this author in PubMed   Google Scholar

  2. Klaus-Jürgen Bathe

    1. Dept. Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • State-of-the-art monograph by the leading experts
  • Introduces the subject systematically and in a unified manner
  • With many new examples
  • Describes the application of advanced methods in engineering practice
  • Gives an overview of nonlinear methods
  • Includes supplementary material: sn.pub/extras

Part of the book series: Computational Fluid and Solid Mechanics (COMPFLUID)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xv
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  2. Introduction

    • Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 1-7

  3. Geometrical Preliminaries

    • Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 9-40

  4. Elements of Functional and Numerical Analysis

    • Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 41-94

  5. Shell Mathematical Models

    • Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 95-134

  6. Asymptotic Behaviors of Shell Models

    • Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 135-217

  7. Displacement-Based Shell Finite Elements

    • Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 219-258

  8. Influence of the Thickness in the Finite Element Approximation

    • Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 259-314

  9. Towards the Formulation of Effective General Shell Elements

    • Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 315-363

  10. On the Nonlinear Analysis of Shells

    • Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 365-381

  11. Back Matter

    Pages 383-410
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Keywords

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. 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.

Reviews

From the reviews of the second edition:

“This well-written book is a reader-friendly and good-organized monograph in the field of finite element analysis of shell structures. It can be highly recommended for experts in mechanics of solids, for engineers, and for graduate, postgraduate and doctoral students.” (Igor Andrianov, Zentralblatt MATH, Vol. 1211, 2011)

Authors and Affiliations

  • Domaine de Voluceau-Rocquencourt, INRIA, Le Chesnay CX, France

    Dominique Chapelle

  • Dept. Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, USA

    Klaus-Jürgen Bathe

Bibliographic Information

  • Book Title: The Finite Element Analysis of Shells - Fundamentals

  • Authors: Dominique Chapelle, Klaus-Jürgen Bathe

  • Series Title: Computational Fluid and Solid Mechanics

  • DOI: https://doi.org/10.1007/978-3-642-16408-8

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2011

  • Hardcover ISBN: 978-3-642-16407-1Published: 08 December 2010

  • Softcover ISBN: 978-3-642-26631-7Published: 27 January 2013

  • eBook ISBN: 978-3-642-16408-8Published: 09 November 2010

  • Series ISSN: 1860-482X

  • Series E-ISSN: 1860-4838

  • Edition Number: 2

  • Number of Pages: XV, 410

  • Topics: Solid Mechanics, Computational Intelligence, Classical Mechanics, Numerical Analysis

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