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The Integral Equations of the Theory of Elasticity

  • Textbook
  • © 1995

Overview

Authors:
  1. Solomon G. Mikhlin

    1. University St. Petersburg, St. Petersburg, Russia

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  2. Nikita F. Morozov

    1. University St. Petersburg, St. Petersburg, Russia

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  3. Michael V. Paukshto

    1. Marine Technical University St. Petersburg, Russia

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Editors:
  1. Herbert Gajewski

    1. Weierstraß Institute Berlin, Germany

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Part of the book series: Teubner-Texte zur Mathematik (TTZM, volume 135)

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Table of contents (8 chapters)

  1. Front Matter

    Pages 1-8
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  2. Integral Equations

    1. General Results on Linear Integral Equations

      • Solomon G. Mikhlin, Nikita F. Morozov, Michael V. Paukshto
      Pages 9-27

    2. One-Dimensional Singular Integral Equations

      • Solomon G. Mikhlin, Nikita F. Morozov, Michael V. Paukshto
      Pages 28-75

    3. Two-Dimensional Singular Integral Equations

      • Solomon G. Mikhlin, Nikita F. Morozov, Michael V. Paukshto
      Pages 76-113

    4. Approximate Solution of Integral Equations

      • Solomon G. Mikhlin, Nikita F. Morozov, Michael V. Paukshto
      Pages 114-127

  3. Problems of the Theory of Elasticity and Cracks Mechanics

    1. The Integral Equations of Classical Two-Dimensional Problems

      • Solomon G. Mikhlin, Nikita F. Morozov, Michael V. Paukshto
      Pages 128-164

    2. Potential Theory for Basic Three-Dimensional Problems

      • Solomon G. Mikhlin, Nikita F. Morozov, Michael V. Paukshto
      Pages 165-199

    3. The Contact Problems of the Theory of Elasticity

      • Solomon G. Mikhlin, Nikita F. Morozov, Michael V. Paukshto
      Pages 200-228

    4. Problems of the Theory of Cracks

      • Solomon G. Mikhlin, Nikita F. Morozov, Michael V. Paukshto
      Pages 229-272

  4. Back Matter

    Pages 273-375
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Keywords

About this book

The book is devoted to the methods and results of the integral equations theory for elasticity problems. It consists of two parts and appendix. The first part contains a survey of mathematical topics necessary for understanding the main aspects of this course.The mathematical background is presented within the first part in detail. The second part deals with the most important results in the theory of boundary integral equations. It also discusses some new aspects of this theory which have been suggested by the authors, including the following problems: the theory of elasticity for an anisotropic medium, new type of integral equations (Pobedria's type), contact problems, fracture mechanics and Cosserat spectrum. The applications in fracture mechanics go well beyond merely illustrating the methods: they yield new results in some classical problems. This book is of interest to applied mechanicians, engineers, mathematicians and students interested in boundary element method and its applications.

Authors, Editors and Affiliations

  • Weierstraß Institute Berlin, Germany

    Herbert Gajewski

  • University St. Petersburg, St. Petersburg, Russia

    Solomon G. Mikhlin, Nikita F. Morozov

  • Marine Technical University St. Petersburg, Russia

    Michael V. Paukshto

Bibliographic Information

  • Book Title: The Integral Equations of the Theory of Elasticity

  • Authors: Solomon G. Mikhlin, Nikita F. Morozov, Michael V. Paukshto

  • Editors: Herbert Gajewski

  • Series Title: Teubner-Texte zur Mathematik

  • DOI: https://doi.org/10.1007/978-3-663-11626-4

  • Publisher: Vieweg+Teubner Verlag Wiesbaden

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Fachmedien Wiesbaden 1995

  • Softcover ISBN: 978-3-663-11627-1Published: 18 April 2014

  • eBook ISBN: 978-3-663-11626-4Published: 21 November 2013

  • Series ISSN: 0138-502X

  • Edition Number: 1

  • Number of Pages: 375

  • Number of Illustrations: 5 b/w illustrations

  • Topics: Engineering, general

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