Gao X. Davies T.G. Boundary Element Programming in Mechanics

Cambridge University Press, Cambridge, 2002. — 280 p. — ISBN 0 521 77359 8.
Nonlinear stress analysis is an essential feature in the design of such diverse structures as aircraft, bridges, machines, and dams. Computational techniques have become vital tools in dealing with the complex, time-consuming problems associated with nonlinear stress analysis. Although finite element techniques are widely used, boundary element methods (BEM) offer a powerful alternative, especially in tackling problems of three-dimensional plasticity. This book describes the application of BEM in solid mechanics, beginning with basic theory and then explaining the numerical implementation of BEM in three-dimensional nonlinear stress analysis. In addition, the authors have developed state-of-the-art BEM source code, available for the first time on a CD-ROM* included with the book. The main topics covered are:
(a) development of the partial differential equations that describe the elasto-plastic (flow theory) mechanics of continua,
(b) formulation of the boundary integral equations for elasto—plasticity,
(c) description of the numerical algorithms in the implementation of the boundary element method,
(d) methods for evaluating the singularities and solving the nonlinear system equations,
(e) description of the source code, and (f) presentation of benchmarks and applications.
This book will be especially useful to stress analysts in industry, research workers in the field of computational plasticity, and postgraduate students taking courses in engineering mechanics.