Special Topics in Multi-Domain BEM Formulations
In this chapter following topics in multi-domain (MD) BEM/reciprocity based FEM formulations in linear elastic problems has been studied: (1) errors in displacement and stress fields are studied in examples of modelling high order gradient and error estim
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Series Editors: The Rectors Manuel Garcia Velarde - Madrid Mahir Sayir - Zurich Wilhelm Schneider - Wien
The Secretary General Bernhard Schrefler - Padua
Former Secretary General Giovanni Bianchi - Milan
Executive Editor Carlo Tasso - Udine
The series presents lecture notes, monographs, edited works and proceedings in the field of Mechanics, Engineering, Computer Science and Applied Mathematics. Purpose of the series is to make known in the international scientific and technical community results obtained in some of the activities organized by CISM, the International Centre for Mechanical Sciences.
INTERNATIONAL CENTRE FOR MECHANICAL SCIENCES COURSES AND LECTURES - No. 433
SELECTED TOPICS IN BOUNDARY INTEGRAL FORMULATIONS FOR SOLIDS AND FLUIDS
EDITED BY VLADIMIR KOMPIS UNIVERSITY OF ZILINA
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Springer-Verlag Wien GmbH
This volume contains 91 illustrations
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. © 2002 by Springer-Verlag Wien Originally published by Springer-Verlag Wien New York in 2002 SPIN 10890847
In order to make this volume available as economically and as rapidly as possible the authors' typescripts have been reproduced in their original forms. This method unfortunately has its typographical limitations but it is hoped that they in no way distract the reader.
ISBN 978-3-211-83693-4 DOI 10.1007/978-3-7091-2548-9
ISBN 978-3-7091-2548-9 (eBook)
PREFACE This book contains the complete lectures presented by L. Gaul, V. Kompis, S. Mukherjee and G. Szeidl at the Advanced School on "Selected Topics in Boundary Integral Formulations for Solids and Fluids" in CISM Udine, during July 9-13, 2001. The lectures given by G. Novati are only partly contained in the book, because they were partially shared with the topics given by his coworker G. Maier in another course, and will be published in the book for that course. Also, the topics concerning design sensitivity for materially nonlinear problems, application of BEM to metal forming, thermal aspects of machining problems, conduction-convection, damage in grinding applications and a hybrid micro -macro BE formulation, given by A. Chandra, have already been published in the book "A. Chandra and S. Mukherjee: Boundary Element Methods in Manufacturing, Oxford University Press, 1997", and are not contained in this book. The aim of the course was to present some current non-classical boundary integral formulations: non-singular Boundary Integral Equation (BIE) formulations, reciprocity and hybrid multi-domain FEM/BEM, the Boundary Contour and Boundary Node Methods, dual reciprocity BEM and their applications in linear and non-linear Computational Mechanics. Chapter 1 of the book is an introduction to non -linear continuum mechanics. The problems oflarge deformation ofsolids using Trefftz functions (i.e. functions satisfying
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