This book is about changing the paradigm of numerical simulation. Until now simulation required the generation of a mesh and this has meant a major effort and also a source of errors. In many cases an accurate description of the problem geometry is available as Computer Aided Design (CAD) data. This book will show how the generation of meshes can be avoided completely by using CAD technology. This includes using CAD data for the description of the geometry of the problem directly without approximation by a mesh and applying the functions that CAD programs use (non-uniform rational B-Splines or NURBS) to the description of the unknown. The book starts with an easy to follow introduction to NURBS and the standard data exchange format used by CAD programs. This is followed by an application to finite element shell analysis. For the modelling of solids the boundary element (BEM) is used since this is the only way mesh generation can be avoided. A computer program written in Octave/MATLAB, that has full 3-D capabilities, is introduced and used to demonstrate various steps in the analysis. Applications are in solid mechanics. Both linear and non-linear analyses are discussed and many practical examples are given. The book is designed to provide a starting point for scientists that want to work in this exciting new area of research and for practitioners to learn how the "pain" of numerical simulation can be eased.
Arvustused
The book [ ] comes with a developing toolkit that allows the reader to gain some hands-on experience and to get familiar with the new concepts [ .] This book is pioneer on the integration of CAD and Boundary Element Analysis.
Prof. Dr. Adrián P. Cisilino, UNMdP, Mar del Plata, Argentina
Preface
1. Introduction
2. Stage 1: Basis functions
3. Stage 2: Geometry
4. Stage 3: Computer Aided Design
5. Stage 4: Introduction to numerical
simulation
6. Stage 5: Plates and shells
7. Stage 6: Integral equations
8.
Stage 7: The boundary element method for plane problems
9. Stage 8: The
boundary element method for three-dimensional problems
10. Stage 9: The
boundary element method with volume effects
11. Stage 10: The time domain
Appendix: Fundamental solutions
Gernot Beer has been working in the area of numerical simulation since 1975 and has published 4 books on this topic. He has been involved in applying numerical simulation in numerous projects around the world, including the design of caverns for the CERN facility in Geneva and the investigation of a large underground power station in Iran. After working in a consulting office and for a large scientific and industrial research organisation he was appointed in 1993 as professor for structural analysis at the University of Technology Graz, Austria. Since 2012 he is emeritus professor of this institution.
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