Some Basic Problems of the Mathematical Theory of Elasticity

Fundamental Equations Plane Theory of Elasticity Torsion and Bending

  • N. I. Muskhelishvili

Table of contents

  1. Front Matter
    Pages I-XXXI
  2. Fundamental Equations of the Mechanics of an Elastic Body

    1. Front Matter
      Pages 1-3
    2. N. I. Muskhelishvili
      Pages 5-27
    3. N. I. Muskhelishvili
      Pages 28-51
  3. General Formulae of the Plane Theory of Elasticity

  4. Solution of Several Problems of the Plane Theory of Elasticity by Means of Power Series

    1. Front Matter
      Pages 197-197
    2. N. I. Muskhelishvili
      Pages 199-203
    3. N. I. Muskhelishvili
      Pages 204-229
    4. N. I. Muskhelishvili
      Pages 230-249
    5. N. I. Muskhelishvili
      Pages 250-263
  5. On Cauchy Integrals

    1. Front Matter
      Pages 265-265
    2. N. I. Muskhelishvili
      Pages 267-297
    3. N. I. Muskhelishvili
      Pages 298-314
  6. Application of Cauchy Integrals to the Solution of Boundary Problems of Plane Elasticity

  7. Solution of the Boundary Problems of the Plane Theory of Elasticity by Reduction to the Problem of Linear Relationship

  8. Extension, Torsion and Bending of Homogeneous and Compound Bars

  9. Back Matter
    Pages 682-732

About this book


TO THE FIRST ENGLISH EDITION. In preparing this translation, I have taken the liberty of including footnotes in the main text or inserting them in small type at the appropriate places. I have also corrected minor misprints without special mention .. The Chapters and Sections of the original text have been called Parts and Chapters respectively, where the latter have been numbered consecutively. The subject index was not contained in the Russian original and the authors' index represents an extension of the original list of references. In this way the reader should be able to find quickly the pages on which anyone reference is discussed. The transliteration problem has been overcome by printing the names of Russian authors and journals also in Russian type. While preparing this translation in the first place for my own informa­ tion, the knowledge that it would also become accessible to a large circle of readers has made the effort doubly worthwhile. I feel sure that the reader will share with me in my admiration for the simplicity and lucidity of presentation.


elasticity mechanics translation

Authors and affiliations

  • N. I. Muskhelishvili
    • 1
  1. 1.TbilisiUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media B.V. 1977
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-8245-9
  • Online ISBN 978-94-017-3034-1
  • Buy this book on publisher's site