Boundary Element Programming in Mechanics

Xiao-Wei Gao, Trevor G. Davies

254 pages, parution le 10/05/2002

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Résumé

Nonlinear stress analysis (a branch of solid mechanics) 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 nonlinear stress analysis. The book includes a state-of-the-art CD-ROM containing BEM source code for use by the reader. 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.

Contents

Part I. Linear Problems
- 1. Introduction
- 2. Theory of elasticity
- 3. Boundary integral equations for elasticity
- 4. Numerical implementation
- 5. The elastic program code
- 6. Linear applications
Part II. Non-Linear Problems
- 7. Rate-independent plasticity theory
- 8. Boundary integral equations in elasto-plasticity
- 9. Numerical implementation
- 10. The elasto-plastic program code
- 11. Non-linear applications
- 12. Epilogue
Appendices
- A. Derivation of the kernel functions
- B. Shape functions
- C. Degenerate elements
- D. Elasto-plastic flow theory
- E. Domain integral formulations
- F. Solution of non-linear system equations
- G. Elements of elasto-plasticity
- H. Description of input data.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Xiao-Wei Gao, Trevor G. Davies
Parution	10/05/2002
Nb. de pages	254
Format	18 x 26
Couverture	Relié
Poids	753g
Intérieur	Noir et Blanc
EAN13	9780521773591
ISBN13	978-0-521-77359-1