Abstract

Introduction THE LAPLACE EQUATION Notation and Prerequisites The Fundamental Boundary Value Problems Green's Formulae Uniqueness Theorems The Harmonic Potentials A Classification of Boundary Integral Equation Methods The Classical Indirect Method The Alternative Indirect Method The Modified Indirect Method The Refined Indirect Method The Direct Method The Substitute Direct Method PLANE STRAIN Notation and Prerequisites The Fundamental Boundary Value Problems The Betti and Somigliana Formulae Uniqueness Theorems The Elastic Potentials Properties of the Boundary Operators The Classical Indirect Method The Alternative Indirect Method The Modified Indirect Method The Refined Indirect Method The Direct Method The Substitute Direct Method BENDING OF ELASTIC PLATES Notation and Prerequisites The Fundamental Boundary Value Problems The Betti and Somigliana Formulae Uniqueness Theorems The Plate Potentials Properties of the Boundary Operators Boundary Integral Equation Methods WHICH METHOD? Notation and Prerequisites Connections between the Indirect Methods Connections between the Direct and Indirect Methods Overall View and Conclusions APPENDIX

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