Singular Integral Equations: Linear and Non-Linear Theory and Its Applications in Science and Engineering

ISBN-13: 9783540672302 / Angielski / Twarda / 2000 / 552 str.

E. G. Ladopoulos

Opis

The book includes the latest high technology on solving very important theoretical and practical problems on solid mechanics, fracture mechanics, structural analysis, elastodynamics, fluid mechanis and aerodynamics, by using linear and non-linear singular integral equation methods. Analytical theories and numerical evaluation methods are investigated and introduced for the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations with a very important use in a wide field of engineering mechanics. The proposed Singular Interal Operator Method in many cases offers important advantages over "domain" type solutions, like finite elements and finite difference, as well as analytical methods, such as complex variable methods.

Spis treści

1 — Introduction.- 2 — Finite-Part Singular Integral Equations.- 3 — Finite-Part Singular Integral Equations in Elasticity and Fracture Mechanics.- 4 — Singular Integral Equations in Aerodynamics.- 5 — Multidimensional Singular Integral Equations.- 6 — Multidimensional Singular Integral Equations in Elasticity and Fracture Mechanics of Isotropic Solids.- 7 — Multidimensional Singular Integral Equations in Relativistic Elastic Stress Analysis for Moving Frames.- 8 — Multidimensional Singular Integral Equations in Elasticity and Fracture Mechanics of Anisotropic Solids.- 9 — Multidimensional Singular Integral Equations in Plasticity of Isotropic Solids.- 10 — Non-Linear Singular Integral Equations.- 11 — Numerical Evaluation Methods for Non-Linear Singular Integral Equations.- 12 — Non-Linear Singular Integral Equations in Fluid Mechanics.- 13 — Non-Linear Integro-Differential Equations in Structural Analysis.- 14 — Non-Linear Singular Integral Equations in Elastodynamics.- 15 — Conclusions.- Appendix — Mathematical Definitions.- Author Index.