The Finite Element Analysis of Shells - Fundamentals

  • Dominique Chapelle
  • Klaus-Jürgen Bathe

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

Table of contents

  1. Front Matter
    Pages i-xv
  2. Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 1-7
  3. Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 9-40
  4. Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 41-94
  5. Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 95-134
  6. Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 135-217
  7. Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 219-258
  8. Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 259-314
  9. Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 315-363
  10. Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 365-381
  11. Back Matter
    Pages 383-410

About this book

Introduction

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.

Keywords

Asymptotic analysis Finite elements Locking Mixed formulations Reliability Shell behaviors Shell models Shells

Authors and affiliations

  • Dominique Chapelle
    • 1
  • Klaus-Jürgen Bathe
    • 2
  1. 1.Domaine de Voluceau-RocquencourtINRIALe Chesnay CXFrance
  2. 2.Dept. Mechanical EngineeringMassachusetts Institute of TechnologyCambridgeUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-16408-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-16407-1
  • Online ISBN 978-3-642-16408-8
  • Series Print ISSN 1860-482X
  • Series Online ISSN 1860-4838
  • About this book