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Full Description
The boundary element method (BEM) is a modern numerical technique, which has enjoyed increasing popularity over the last two decades, and is now an established alternative to traditional computational methods of engineering analysis. The main advantage of the BEM is its unique ability to provide a complete solution in terms of boundary values only, with substantial savings in modelling effort.
This two volume book set is designed to provide the readers with a comprehensive and up-to-date account of the boundary element method and its application to solving engineering problems. Each volume is a self-contained book including a substantial amount of material not previously covered by other text books on the subject. Volume 1 covers applications to heat transfer, acoustics, electrochemistry and fluid mechanics problems, while volume 2 concentrates on solids and structures, describing applications to elasticity, plasticity, elastodynamics, fracture mechanics and contact analysis. The early chapters are designed as a teaching text for final year undergraduate courses. Both volumes reflect the experience of the authors over a period of more than twenty years of boundary element research.
Contents
VOLUME 1
Introduction.
Potential Problems
Steady Heat Transfer
Transient Heat Transfer
Acoustics
Electrochemical Problems
Flow of Ideal Fluids
Slow Viscous Flow
General Viscous Flow
Inverse Problems
Numerical Integration
VOLUME 2
Introduction
Elastostatics
Plates and Shells
Thermoelasticity
Elastodynamics
Elastoplasticity
Contact Mechanics
Fracture Mechanics
Sensitivity Analysis and Shape Optimization
Assembled Structures
Numerical Integration
A Complex Stress Functions
B Limiting Process for Boundary Stress Equation
C The Limits and Jump Terms
D Particular Solutions
E Convoluted Fundamental Solutions
F Shape Functions of Brick Cell elements
G Fast Solver
