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  • © 1977

Some Basic Problems of the Mathematical Theory of Elasticity

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Table of contents (25 chapters)

  1. Front Matter

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

    1. Front Matter

      Pages 1-3
    2. Analysis of Stress

      • N. I. Muskhelishvili
      Pages 5-27
    3. Analysis of Strain

      • N. I. Muskhelishvili
      Pages 28-51
  3. General Formulae of the Plane Theory of Elasticity

    1. Front Matter

      Pages 85-88
    2. Basic Equations of the Plane Theory of Elasticity

      • N. I. Muskhelishvili
      Pages 89-104
    3. Multi-Valued Displacements. Thermal Stresses

      • N. I. Muskhelishvili
      Pages 167-175
  4. Solution of Several Problems of the Plane Theory of Elasticity by Means of Power Series

    1. Front Matter

      Pages 197-197
    2. On Fourier Series

      • N. I. Muskhelishvili
      Pages 199-203
    3. Solution for Regions, Bounded by a Circle

      • N. I. Muskhelishvili
      Pages 204-229
    4. The Circular Ring

      • N. I. Muskhelishvili
      Pages 230-249
    5. Application of Conformal Mapping

      • N. I. Muskhelishvili
      Pages 250-263
  5. On Cauchy Integrals

    1. Front Matter

      Pages 265-265
    2. Fundamental Properties of Cauchy Integrals

      • N. I. Muskhelishvili
      Pages 267-297
    3. Boundary Values of Holomorphic Functions

      • N. I. Muskhelishvili
      Pages 298-314
  6. Application of Cauchy Integrals to the Solution of Boundary Problems of Plane Elasticity

    1. Front Matter

      Pages 315-315

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.

Authors and Affiliations

  • Tbilisi, USA

    N. I. Muskhelishvili

Bibliographic Information

  • Book Title: Some Basic Problems of the Mathematical Theory of Elasticity

  • Authors: N. I. Muskhelishvili

  • DOI: https://doi.org/10.1007/978-94-017-3034-1

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media B.V. 1977

  • Hardcover ISBN: 978-90-01-60701-2Published: 30 April 1977

  • Softcover ISBN: 978-90-481-8245-9Published: 30 December 2010

  • eBook ISBN: 978-94-017-3034-1Published: 11 November 2013

  • Edition Number: 1

  • Number of Pages: XXXI, 732

  • Topics: Mechanical Engineering, Classical Mechanics

Buy it now

Buying options

eBook USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access