Mathematical Theory of Elastic Equilibrium

Recent Results

  • Authors
  • Giuseppe Grioli

Part of the Ergebnisse der Angewandten Mathematik book series (ERG ANGEW MATHE, volume 7)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Giuseppe Grioli
    Pages 1-7
  3. Giuseppe Grioli
    Pages 12-31
  4. Giuseppe Grioli
    Pages 120-131
  5. Giuseppe Grioli
    Pages 131-141
  6. Giuseppe Grioli
    Pages 141-160
  7. Back Matter
    Pages 161-168

About this book

Introduction

It is not my intention to present a treatise of elasticity in the follow­ ing pages. The size of the volume would not permit it, and, on the other hand, there are already excellent treatises. Instead, my aim is to develop some subjects not considered in the best known treatises of elasticity but nevertheless basic, either from the physical or the analytical point of view, if one is to establish a complete theory of elasticity. The material presented here is taken from original papers, generally very recent, and concerning, often, open questions still being studied by mathematicians. Most of the problems are from the theory of finite deformations [non-linear theory], but a part of this book concerns the theory of small deformations [linear theory], partly for its interest in many practical questions and partly because the analytical study of the theory of finite strain may be based on the infinitesimal one.

Keywords

Finite Mathematica approximation elasticity equation function stress theorem

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-87432-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 1962
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-02804-8
  • Online ISBN 978-3-642-87432-1
  • About this book