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.
This volume, Applications in Solids and Structures, provides a comprehensive presentation of the BEM from fundamentals to advanced engineering applications and encompasses:
- Elasticity for 2D, 3D and plates and shells
- Non–linear, transient and thermal stress analysis
- Crack growth and multi–body contact mechanics
- Sensitivity analysis and optimisation
- Analysis of assembled structures.
Written by an internationally recognised authority in the field, this is essential reading for postgraduates, researchers and practitioners in aerospace, mechanical and civil engineering and applied mathematics.
Preface to Volume 2
Plates and Shells
Sensitivity Analysis and Shape Optimization
A Complex Stress Functions
B Limiting Process for Boundary Stress Equation
C Limits Integrals for Shallow Shells
D Particular Solutions for Shear Deformable Plates
E Fundamental Solutions for Elastodynamics
F Shape Functions of Brick Cell elements
G Fast Solver for Contact Problems