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Plane Elastic Systems

  • Book
  • © 1968
  • Latest edition

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Authors:
  1. L. M. Milne-Thomson
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Part of the book series: Ergebnisse der angewandten Mathematik (ERG ANGEW MATHE, volume 6)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-VIII
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  2. The role of Airy’s stress function

    • L. M. Milne-Thomson
    Pages 1-26

  3. The complex stresses and their properties in the isotropic case

    • L. M. Milne-Thomson
    Pages 26-52

  4. Mathematical preliminaries to the boundary value problems

    • L. M. Milne-Thomson
    Pages 52-75

  5. Planes and half-planes

    • L. M. Milne-Thomson
    Pages 75-109

  6. Circular boundaries

    • L. M. Milne-Thomson
    Pages 109-143

  7. Curvilinear boundaries

    • L. M. Milne-Thomson
    Pages 143-174

  8. The influence of anisotropy

    • L. M. Milne-Thomson
    Pages 174-206

  9. Back Matter

    Pages 206-211
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Plane Elastic Systems

  • Authors: L. M. Milne-Thomson

  • Series Title: Ergebnisse der angewandten Mathematik

  • DOI: https://doi.org/10.1007/978-3-642-87870-1

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1968

  • Softcover ISBN: 978-3-540-04092-7Published: 01 January 1968

  • eBook ISBN: 978-3-642-87870-1Published: 29 June 2013

  • Edition Number: 2

  • Number of Pages: VIII, 211

  • Topics: Mathematics, general

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