Beer Advanced numerical simulation methods

From CAD Data directly to simulation results
Erscheinungsjahr 2015
ISBN: 978-1-315-76631-7
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 342 Seiten

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.

Autoren/Hrsg.

Beer, Gernot

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

1. Preface 2. History of numerical simulation and state of the art 3. Introduction to approximation, B-splines and NURBS 4. Introduction to CAD technology and the IGES data exchange standard 5. How CAD geometry data can be used directly for describing geometry, NURBS and trimmed NURBS. 6. Description of the variation of the unknown with NURBS and refinement strategies 7. Application to the simulation of shells 8. The Boundary Element method (BEM) – an ideal companion to CAD 9. Programming the NURBS based BEM 10. Implementation of body force effects (nonlinear material behaviour, inclusions) 11. Application to solid mechanics and geomechanics 12. Time dependent problems 13. Summary and outlook

Über Autor(innen)

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.