Advertisement

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-XI
  2. Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 1-6
  3. Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 7-38
  4. Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 39-80
  5. Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 81-114
  6. Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 115-169
  7. Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 171-205
  8. Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 207-262
  9. Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 263-291
  10. Dominique Chapelle, Klaus-Jürgen Bathe
    Pages 293-303
  11. Back Matter
    Pages 305-330

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.

Keywords

Approximation Fundament Mixed formulations Reliability Shell models Shells behavior calculus continuum mechanics design finite element method finite elements mechanics numerical analysis structure

Authors and affiliations

  • Dominique Chapelle
    • 1
  • Klaus-Jürgen Bathe
    • 2
  1. 1.INRIA-RocquencourtLe ChesnayFrance
  2. 2.Massachusetts Institute of TechnologyCambridgeUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-05229-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-07459-2
  • Online ISBN 978-3-662-05229-7
  • Series Print ISSN 1860-482X
  • Series Online ISSN 1860-4838
  • Buy this book on publisher's site