The Boundary Integral Equatio Method in Axisymmetric Stress Analysis Problems

1 Introduction and Aims.- 1.1 Introduction.- 1.2 Literature Survey - Axisymmetric Problems.- 1.3 Layout of Notes.- 2 Axisymmetric Potential Problems.- 2.1 Introduction.- 2.2 Analytical Formulation.- 2.3 Numerical Implementation.- 2.4 Examples.- 3 Axisymmetric Elasticity Problems: Formulation.- 3.1 Introduction.- 3.2 Analytical Formulation.- 3.3 Numerical Implementation.- 4 Axisymmetric Elasticity Problems: Examples.- 4.1 Introduction.- 4.2 Hollow Cylinder.- 4.3 Hollow Sphere.- 4.4 Thin Sections.- 4.5 Compound Sphere.- 4.6 Spherical Cavity in a Solid Cylinder.- 4.7 Notched Bars.- 4.8 Pressure Vessel with Hemispherical End Closure.- 4.9 Pressure Vessel Clamp.- 4.10 Compression of Rubber Blocks.- 4.11 Externally Grooved Hollow Cylinder.- 4.12 Plain Reducing Socket.- 5 Axisymmetric Thermoelasticity Problems.- 5.1 Introduction.- 5.2 Analytical Formulation.- 5.3 Numerical Implementation.- 5.4 Examples.- 6 Axisymmetric Centrifugal Loading Problems.- 6.1 Introduction.- 6.2 Analytical Formulation.- 6.3 Numerical Implementation.- 6.4 Examples.- 7 Axisymmetric Fracture Mechanics Problems.- 7.1 Introduction.- 7.2 Linear Elastic Fracture Mechanics.- 7.3 Numerical Calculation of the Stress Intensity Factor.- 7.4 Singularity Elements.- 7.5 Examples.- 8 Conclusions.- References.- Appendix B Numerical Coefficients for the Evaluation of the Elliptical Integrals.- Appendix C Notation for Axisymmetric Vector and Scalar Differentiation.- Appendix D Components of the Traction Kernels.- Appendix E Derivation of the Axisymmetric Displacement Kernels from the Three-Dimensional Fundamental Solution.- Appendix G Differentials of the Displacement and Traction Kernels.- Appendix H The Thermoelastic Kernels.- Appendix I Differentials of the Thermoelastic Kernels.