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Singular Integral Equations

Linear and Non-linear Theory and its Applications in Science and Engineering

  • Book
  • © 2000

Overview

Authors:
  1. E. G. Ladopoulos

    1. Interpaper Research Organization, University of Athens, Athens, Greece

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  • The author treats the theory of Singular Integral Equations thoroughly

  • Applications - mostly in engineering mechanics - are widely described in connection to the treated theory

  • The author is a well-known scientist in this field and made major contributions to the application of Singular Integral Equations in mechanics

  • Includes supplementary material: sn.pub/extras

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Table of contents (15 chapters)

  1. Front Matter

    Pages I-XXV
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  2. Introduction

    • E. G. Ladopoulos
    Pages 1-15

  3. Finite-Part Singular Integral Equations

    • E. G. Ladopoulos
    Pages 17-132

  4. Finite-Part Singular Integral Equations in Elasticity and Fracture Mechanics

    • E. G. Ladopoulos
    Pages 133-171

  5. Singular Integral Equations in Aerodynamics

    • E. G. Ladopoulos
    Pages 173-185

  6. Multidimensional Singular Integral Equations

    • E. G. Ladopoulos
    Pages 187-218

  7. Multidimensional Singular Integral Equations in Elasticity and Fracture Mechanics of Isotropic Solids

    • E. G. Ladopoulos
    Pages 219-250

  8. Multidimensional Singular Integral Equations in Relativistic Elastic Stress Analysis for Moving Frames

    • E. G. Ladopoulos
    Pages 251-274

  9. Multidimensional Singular Integral Equations in Elasticity and Fracture Mechanics of Anisotropic Solids

    • E. G. Ladopoulos
    Pages 275-304

  10. Multidimensional Singular Integral Equations in Plasticity of Isotropic Solids

    • E. G. Ladopoulos
    Pages 305-342

  11. Non-Linear Singular Integral Equations

    • E. G. Ladopoulos
    Pages 343-380

  12. Numerical Evaluation Methods for Nonlinear Singular Integral Equations

    • E. G. Ladopoulos
    Pages 381-407

  13. Non-Linear Singular Integral Equations In Fluid Mechanics

    • E. G. Ladopoulos
    Pages 409-489

  14. Non-Linear Integro-Differential Equations in Structural Analysis

    • E. G. Ladopoulos
    Pages 491-507

  15. Non-Linear Singular Integral Equations in Elastodynamics

    • E. G. Ladopoulos
    Pages 509-532

  16. Conclusions

    • E. G. Ladopoulos
    Pages 533-534

  17. Back Matter

    Pages 535-551
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Keywords

About this book

The present book deals with the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations, which are currently used in many fields of engineering mechanics with applied character, like elasticity, plasticity, thermoelastoplasticity, viscoelasticity, viscoplasticity, fracture mechanics, structural analysis, fluid mechanics, aerodynamics and elastodynamics. These types of singular integral equations form the latest high technology on the solution of very important problems of solid and fluid mechanics and therefore special attention should be given by the reader of the present book, who is interested for the new technology of the twentieth-one century. Chapter 1 is devoted with a historical report and an extended outline of References, for the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations. Chapter 2 provides a finite-part singular integral representation analysis in Lp spaces and in general Hilbert spaces. In the same Chapter are investigated all possible approximation methods for the numerical evaluation of the finite-part singular integral equations, as closed form solutions for the above type of integral equations are available only in simple cases. Also, Chapter 2 provides further a generalization of the well known Sokhotski-Plemelj formulae and the Nother theorems, for the case of a finite-part singular integral equation.

Authors and Affiliations

  • Interpaper Research Organization, University of Athens, Athens, Greece

    E. G. Ladopoulos

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