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Plane Elastic Systems

  • Authors
  • L. M. Milne-Thomson

Part of the Ergebnisse der Angewandten Mathematik book series (ERG ANGEW MATHE, volume 6)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. L. M. Milne-Thomson
    Pages 1-26
  3. L. M. Milne-Thomson
    Pages 75-109
  4. L. M. Milne-Thomson
    Pages 109-143
  5. L. M. Milne-Thomson
    Pages 143-174
  6. L. M. Milne-Thomson
    Pages 174-206
  7. Back Matter
    Pages 206-211

About this book

Introduction

In an epoch-making paper entitled "On an approximate solution for the bending of a beam of rectangular cross-section under any system of load with special reference to points of concentrated or discontinuous loading", received by the Royal Society on June 12, 1902, L. N. G. FlLON introduced the notion of what was subsequently called by LovE "general­ ized plane stress". In the same paper FlLO~ also gave the fundamental equations which express the displacement (u, v) in terms of the complex variable. The three basic equations of the theory of KoLOsov (1909) which was subsequently developed and improved by MUSKHELISHVILI (1915 and onwards) can be derived directly from Filon's equations. The derivation is indicated by FlLO)!E~KO-BoRODICH. Although FILO)! proceeded at once to the real variable, historically he is the founder of the modern theory of the application of the complex variable to plane elastic problems. The method was developed independently by A. C. STEVEXSOX in a paper received by the Royal Society in 1940 but which was not published, for security reasons, until 1945.

Keywords

Derivation Plane Systems equation variable

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-87870-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 1968
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-04092-7
  • Online ISBN 978-3-642-87870-1
  • Buy this book on publisher's site