The Integral Equations of the Theory of Elasticity

  • Solomon G. Mikhlin
  • Nikita F. Morozov
  • Michael V. Paukshto
  • Herbert Gajewski

Part of the TEUBNER-TEXTE zur Mathematik book series (TTZM, volume 135)

Table of contents

  1. Front Matter
    Pages 1-8
  2. Integral Equations

    1. Solomon G. Mikhlin, Nikita F. Morozov, Michael V. Paukshto
      Pages 9-27
    2. Solomon G. Mikhlin, Nikita F. Morozov, Michael V. Paukshto
      Pages 28-75
    3. Solomon G. Mikhlin, Nikita F. Morozov, Michael V. Paukshto
      Pages 76-113
    4. Solomon G. Mikhlin, Nikita F. Morozov, Michael V. Paukshto
      Pages 114-127
  3. Problems of the Theory of Elasticity and Cracks Mechanics

    1. Solomon G. Mikhlin, Nikita F. Morozov, Michael V. Paukshto
      Pages 128-164
    2. Solomon G. Mikhlin, Nikita F. Morozov, Michael V. Paukshto
      Pages 165-199
    3. Solomon G. Mikhlin, Nikita F. Morozov, Michael V. Paukshto
      Pages 200-228
    4. Solomon G. Mikhlin, Nikita F. Morozov, Michael V. Paukshto
      Pages 229-272
  4. Back Matter
    Pages 273-375

About this book

Introduction

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.

Keywords

Elastizität Integralgleichung

Authors and affiliations

  • Solomon G. Mikhlin
    • 1
  • Nikita F. Morozov
    • 1
  • Michael V. Paukshto
    • 2
  1. 1.University St. PetersburgSt. PetersburgRussia
  2. 2.Marine Technical University St. PetersburgRussia

Editors and affiliations

  • Herbert Gajewski
    • 1
  1. 1.Weierstraß Institute BerlinGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-663-11626-4
  • Copyright Information Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH, Wiesbaden 1995
  • Publisher Name Vieweg+Teubner Verlag, Wiesbaden
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-663-11627-1
  • Online ISBN 978-3-663-11626-4
  • Series Print ISSN 0138-502X
  • About this book