Mathematical Theory of Elastic Structures

  • Feng Kang
  • Shi Zhong-Ci

Table of contents

  1. Front Matter
    Pages i-xi
  2. Feng Kang, Shi Zhong-Ci
    Pages 1-88
  3. Feng Kang, Shi Zhong-Ci
    Pages 89-138
  4. Feng Kang, Shi Zhong-Ci
    Pages 139-211
  5. Feng Kang, Shi Zhong-Ci
    Pages 212-288
  6. Feng Kang, Shi Zhong-Ci
    Pages 289-385
  7. Back Matter
    Pages 386-395

About this book

Introduction

The book covers three main topics: the classical theory of linear elasticity, the mathematical theory of composite elastic structures, as an application of the theory of elliptic equations on composite manifolds developed by the first author, and the finite element method for solving elastic structural problems.
The authors treat these topics within the framework of a unified theory. The book carries on a theoretical discussion on the mathematical basis of the principle of minimum potential theory. The emphasis is on the accuracy and completeness of the mathematical formulation of elastic structural problems.
The book will be useful to applied mathematicians, engineers and graduate students. It may also serve as a course in elasticity for undergraduate students in applied sciences.

Keywords

Elastity Potential composite structural mechnaics differential equation elasticity finite element method finite element methods minimum partial differential equation partial differential equations structures

Authors and affiliations

  • Feng Kang
    • 1
  • Shi Zhong-Ci
    • 1
  1. 1.Institute of Computational MathematicsChinese Academy of SciencesBeijingThe People’s Republic of China

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-03286-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-03288-6
  • Online ISBN 978-3-662-03286-2
  • About this book