Boundary Integral Equations in Elasticity Theory

  • A. M. Linkov

Part of the Solid Mechanics and Its Applications book series (SMIA, volume 99)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Introduction

    1. A. M. Linkov
      Pages 1-6
  3. Method of Potentials

  4. Methods Based on the Theory by Kolosov-Muskhelishvili

    1. A. M. Linkov
      Pages 87-111
    2. A. M. Linkov
      Pages 112-127
    3. A. M. Linkov
      Pages 128-148
  5. Theory of Complex Integral Equations

    1. Front Matter
      Pages 166-166
  6. Numerical Solution of Complex Variable Boundary Integral Equations

    1. Front Matter
      Pages 199-199
    2. A. M. Linkov
      Pages 225-245
  7. Back Matter
    Pages 259-274

About this book


by the author to the English edition The book aims to present a powerful new tool of computational mechanics, complex variable boundary integral equations (CV-BIE). The book is conceived as a continuation of the classical monograph by N. I. Muskhelishvili into the computer era. Two years have passed since the Russian edition of the present book. We have seen growing interest in numerical simulation of media with internal structure, and have evidence of the potential of the new methods. The evidence was especially clear in problems relating to multiple grains, blocks, cracks, inclusions and voids. This prompted me, when preparing the English edition, to place more emphasis on such topics. The other change was inspired by Professor Graham Gladwell. It was he who urged me to abridge the chain of formulae and to increase the number of examples. Now the reader will find more examples showing the potential and advantages of the analysis. The first chapter of the book contains a simple exposition of the theory of real variable potentials, including the hypersingular potential and the hypersingular equations. This makes up for the absence of such exposition in current textbooks, and reveals important links between the real variable BIE and the complex variable counterparts. The chapter may also help readers who are learning or lecturing on the boundary element method.


Integral equation computational mechanics elasticity fracture mechanics materials materials science mechanical engineering mechanics micromechanics stress

Authors and affiliations

  • A. M. Linkov
    • 1
  1. 1.Institute for Problems of Mechanical EngineeringRussian Academy of SciencesSt. PetersburgRussia

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media B.V. 2002
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-6000-6
  • Online ISBN 978-94-015-9914-6
  • Series Print ISSN 0925-0042
  • Buy this book on publisher's site
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