Advanced formulations in boundary element methods
Author(s)
Bibliographic Information
Advanced formulations in boundary element methods
（International series on computational engineering）
Computational Mechanics Publications , Elsevier Applied Science, c1993
- CMP, Southampton
- CMP, Boston
- Elsevier
Available at 11 libraries
Description and Table of Contents
Description
The Boundary Element Method (BEM) is now being increasingly applied to new topics in engineering. This has led researchers to investigate and develop new formulations of the method which lend themselves better to problems such as fracture mechanics, coupling with finite elements, moving boundary applications and nonlinear problems. This book presents new boundary element formulations which are now emerging as viable alternatives for a wide range of complex problems. Some of the new formulations presented are concerned with the dual BEM for crack problems in fracture mechanics, which makes the use of subregions unnecessary, and solutions for domain integral problems, such as time dependant convection diffusion and elastodynamics. The latter utilizes the reciprocity relationship several times resulting in higher order fundamental solutions. The hybrid-stress formulation and hybird-displacement approach are discussed, which enable simple coupling with finite elements.
A detailed description is presented of the uniform cub B-spine and non-uniform blending functions and their implementation into the Bounday Element formulations, and in Chapter 7 a formulation which enables the more accurate evaluation of temperature gradients is described. The presented formulations are supported with many examples to demonstrate their accuracy and versatility, making this a very useful reference volume. It should be directly relevant to mechanical engineers, and any other worker within the engineering field involved with problem solving.
Table of Contents
- Dual boundary element analysis of linear elastic crack problems, A. Portela et al
- the dual reciprocity method, P.W. Partridge and C.A. Brebbia
- the multiple reciprocity method, A.J. Nowak and C.a. Brebbia
- hybrid boundary element formulations, T. DeFigueiredo and C.A. Brebbia
- a new formulation with higher-order interelement continuity using B-splines, J.J.S.P. Cabral and L.C. Wrobel
- hyper-singular formulation for 2-D potential problems, J.C.F. Telles and A.A. Prado
- non-singular computation of field derivatives by BEM, V. Sladek and J. Sladek
- CVBEM in simply and multiply connected domains for the solution of heat conduction problems, A.J. Kassab et al.
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