Table Of ContentDiscretization Methods
in Structural Mechanics
International Union of Theoretical
and Applied Mechanics
International Association for
Computational Mechanics
G. Kuhn' H. Mang (Eds.)
Discretization Methods
in Structural Mechanics
IU TAM/IACM Symposium Vienna/Austria,
5.- 9. 6.1989
Springer-Verlag
Berlin Heidelberg New York
London Paris Tokyo Hong Kong
Prof. Dr.-Ing. habil. Gunther Kuhn
Universitat Erlangen-Nurnberg
Am Pestalozziring 20
8520 Erlangen
FR Germany
Prof. Dr. techno Herbert Mang, Ph. D.
Technische Universitat Wien
Karlsplatz 13
1040Wien
Austria
Library of Congress Cataloging-in-Publication Data
I UTAMIIACM Symposium (1989 : Vienna, Austria)
Discretization methods in structural mechanics: IUTAMIIACM Symposium,
Vienna, Austria, 5.-9. 6.19891 G. Kuhn, H. Mang (eds.)
(IUTAM symposia)
At head of title: International Union ofTheoretical and Applied Mechanics.
ISBN-13: 978-3-642-49375-1 e-ISBN-13: 978-3-642-49373-7
DOl: 10.1007/978-3-642-49373-7
1. Structural analysis (Engineering )--Data processing--Congresses.
2. Boundary element methods--Congresses.
3. Finite element method--Congresses.
I. Kuhn, G. (Gunther)
II. Mang, H. (Herbert)
III. International Union ofTheoretical and Applied Mechanics.
IV. Title. V. Series: I UTAM-Symposien.
TA647.197 1989
624.171--dc20 90-9605
This work is subject to copyright.AII rights are reserved, whether the whole orpart ofthe
material is concerned, specifically the rights of translation, reprinting, re-use of illustra
tions, recitation, broadcasting, reproduction on microfilms or in other ways, and storage
in data banks. Duplication of this publication or parts thereof is only permitted underthe
provisions of the German Copyright LawofSeptember9, 1965,in its current version and
a copyright fee must always be paid. Violations fall under the prosecution act of the
German Copyright Law.
CO Springer-Verlag, Berlin Heidelberg 1990
Softcover reprint of the hardcover 1s t edition 1990
The use of registered names, trademarks, etc. in this publication does not imply, even in
the absence of a specific statement, that such names are exempt from the relevant
protective laws and regulations and therefore free for general use.
2161/3020543210 - Printed on acid-free paper
Preface
The advent of the digital computer has given great impetus to the development of
modern discretization methods in structural mechanics. The young history of the finite
element method (FEM) reflects the dramatic increase of computing speed and storage
capacity within a relatively short period of time. The history of the boundary element
method (BEM) is still younger. Presently, intense scientific efforts aimed at extending the
range of application of the BEM can be observed. More than 10 years ago, O.C. Zienkiewicz
and his co-workers published the first papers on the coupling of FE and BE discretizations
of subregions of solids for the purpose of exploiting the complementary advantages of the
two discretization methods and reducing their disadvantages.
The FEM has revolutionized structural analysis in industry as well as academia. The
BEM has a fair share in the continuation of this revolution. Both discretization methods
have become a domain of vigorous, world-wide research activities. The rapid increase of
the number of specialized journals and scientific meetings indicates the remarkable increase
of research efforts in this important subdolll.ain of computational ulechanics.
Several discussions of this situation in the Committee for Discretization Methods ill
Solid Mechanics of the Society for Applied Mathematics and Mechanics (GAMM) resulted
in the plan to submit a proposal to the General Assembly of the International Union of
Theoretical and Applied Mechanics (IUTAM) to sponsor a pertinent IUTAM Symposium.
The endorsement of this proposal by the aforementioned GAMM-Committee and the cons
ent of the International Association for Computational Mechanics (IACM) to co-sponsor
such a scientific activity paved the way to the IUTAM/IACM Symposium on Discretization
Methods in Structural Mechanics in Vienna, Austria, from June 5 to 9, 19SD.
The main reason for the rather extensive topic of this Symposium, as reflected by
its title, was the merger, at the request of IUTAM, of the original proposal by Prof.
H.A. Mang, emphasizing the application of discretization methods to nonlinear structural
mechanics, with a proposal by a group of members of the GAMM Committee for Discre
tization Methods in Solid Mechanics, from the Federal Republic of Germany, around Prof.
G. Kuhn, aimed at the application of the BEM to problems of structural mechanics. After
some hesitation the undersigned organizers came to the conclusion that the advantage~ of
this merger outweighed the disadvantages.
The organization of the scientific program was guided by the intention to present an
unbiased view on the capacity of the FEM, the BEM, and of combinations of the two
methods as timely tools for the numerical solution of challenging problems in the field of
structural mechanics. The active support by the members of the Scientific Committee,
which is gratefully acknowledged, facilitated the realization of this intention. Apart from
the organizers, the Scientific Committee consisted of the following members:
VI
J. Altenbach J. H. Argyris S. M. Atluri
(Magdeburg/ GDR) (Stuttgart/FRG) (Atlanta/USA)
N. Banichuk R. H. Gallagher P. Germain
(Moscow/USSR) (Potsdam/USA) (Paris/France)
Feng Kang M. Kleiber G. Maier
(Beijing/ China) (Warsaw /Poland) (Milan/Italy)
T. H. H. Pian A. Samuelsson A. G. Ugodchicov
(Cambridge/USA) (Goteborg/Sweden) (Gorki/USSR)
Y. Yamamoto
(Tokyo/Japan)
81 scientists from 15 countries participated in the Symposium. The 42 oral presenta
tions from leading experts in the area of computational mechanics gave a good impression
of recent trends in discretization methods in structural mechanics. In some of these contri
butions fundamental mathematical and/or mechanical problems related to these methods
were treated. Some other contributions were devoted to the application of discretization
methods to structural analysis of beams, plates, shells, etc. A large segment of the presen
tations consisted of investigations of various mechanical phenomena, such as instability,
vibrations, crack propagation, etc., by means of the FEM or the BEM.
The book contains written versions of 40 out of the 42 oral presentations. The
manuscripts were to be submitted approximately two months after the Symposium, al
lowing the authors to consider comments from the discussion of their presentations.
The organizers are deeply indebted to the following institutions and corporations for
their generous financial support or for their effective help in the preparation and organi
zation of the Symposium:
International Union of Theoretical and Applied Mechanics (IUTAM)
International Association for Computational Mechanics (IACM)
Austrian Academy of Sciences
Federal Ministry of Science and Research of the Republic Austria
Daimler Benz AG, Stuttgart
Siemens AG Austria
Creditanstalt-Bankverein, Zweigstelle Rilkeplatz, Vienna
Institute for Applied Mechanics of the University of Erlangen-Nuremberg
Institute for Strength of Materials of the Technical University of Vienna
VII
The organizers would like to express their gratitude to Prof. O. Hittmair, President of
the Austrian Academy of Sciences, for his opening address on behalf of the Academy, which
was hosting the Symposium in its historical building, and to Prof. F. Ziegler, Member of
the Bureau of IUTAM, and Prof. R.H. Gallagher, President of Clarkson University and
Member of the IACM Exectutive Council, for their opening addresses on behalf of IUTAM
and IACM, respectively.
The organizers are also deeply indebted to their associates at the Institute for Ap
plied Mechanics of the University of Erlangen-Nuremberg and the Institute for Strength of
Materials of the Technical University of Vienna, respectively, for their help before, during
and after the Symposium.
Finally, as the editors of this book, they would like to thank the editorial staff of
Springer-Verlag for the advice and the efforts concerning publication of these proceedings.
G. Kuhn H. A. Mang
Erlangen, FRG Vienna, Austria
November 1989
Ust of Participants
Session Abel Prof., John F.
No. 11 School of Civil and Environmental Engineering
Cornell University
Hollister Hall
Itaca, New York 14853, USA
Session Altenbach Prof. Dr., Johannes
No. 4 Technische Universitat
"Otto von Guericke" Magdeburg
Scktion Maschinenhau
PostschlieBfach 124, DDR-3010 Magdeburg
Session Andelfinger Dr., Ulrich
No.4 Institut fiir Baustatik
Universitat Stuttgart
Pfaffcnwaldring 27, D-7000 Stuttgart 80
Session Antes Prof. Dr., Heinz
No.5 Institut fiir Angewandte Mechanik
Universitat Braunschweig
BeethovenstraBe 51, Postfach 3329, D-3300 Braunschweig
Scssion Atluri Prof., Satya N.
No. 9 Center for Computational Mechanics
Georgia Institute of Technology
Atlanta, Georgia 30332-0356, USA
Session Babuska Prof.,Ivo
No.1 Institute for Physical Science and Tcchnology
The University of Maryland
College Park,
Maryland 20742-2431, USA
Session Balmer Dipl.-Ing., Hans
No. 7 Institut fiir Computer-Anwendungen
Technische Universitat Stuttgart
Pfaffenwaldring 27, D-7000 Stuttgart 80
IX
Session Banerjee Prof., P.I<.
No. 5 Department of Civil Engineering
State University of New York at Buffalo
212 Ketter Hall, Buffalo
New York 14260, USA
Session Banichuk Prof., N.V.
No. 17 USSR Academy of Sciences
Prospect Vernadskogo 101
II 7526 Moscow, USSR 4344341
Becker Dipl.-Phys., Ingo
Institut fiir Technische Mechanik/Festigkeitslehre
Universitat Karlsruhe
Kaiserstr. 12, D-7500 Karlsruhe
Becker Dipl.-Phys., Klaus
FB 7, FG 7
Universitat Duisburg
Lotharstr. 1, D-4100 Duisburg
Session Besseling Prof., J.F.
No.3 Laboratory for Engineering Mechanics
Delft University of Technology
P.O. Box 5033, 2600 CD Delft
Mekelweg 2, 2628 Delft
The Netherlands
Session Brebbia Dr., Carlos A.
No. 2 Director of Computational Mechanics
Wessex Institute of Technology
Ashurst Lodge, Ashurst
GB-Southhampton S04 2AA
Session Butler Prof. Dr., Hans
No. 16 Institut fiir Mechanik (Bauwesen)
Lehrstuhl II
Universitat Stuttgart
Pfaffenwaldring 7, D-7000 Stuttgart
x
Celigoj Prof. Dr., Christian
Institut fiir Werkstoft'kunde,
Festigkeitslehre und Materialpriifung
Technische Universitiit Graz
Kopernikusgasse 24, A-8010 Graz
Session Chen Dr., Zhen-Sheng
No. 18 Institut fiir Festigkeitslehre
Technische Universtitii.t Wien
Karlsplatz 13, A-1040 Wien
Session Cole Mr.,G.
No. 6 FEA Ltd., formerly Kingston Polyteclmic Institute
15, Upper Gordon Road
Camberley, Surrey GU152 HN
U.K.
Session Crisfield Prof., Mike A.
No. 6 Department of Aeronautics
Imperial College of Science and Technology
London SW 7 2BY
U.K.
Session Cruse Dr., Thomas A.
No. 2 Department of Engineering Mechanics
Southwest Research Institute
P.O. Drawer 28510
San Antonio, Texas 78238, USA
Dallner Dipl.-Ing., Rudolf
Lehrstuhl fiir Technische Mecll11nik
Universitii.t Erlangen-Niirnberg
Am Pestalozziring 20, D-8520 Erlangen
Dinkier Dr., Dieter
Institut fiir Statik
Technische Universitiit Braunschweig
Beethovenstr. 51, D-3300 Braunschweig
Eberhardsteiner Dr., Josef
Institut fiir Festigkeitslehre
Technische Universtitii.t Wien
Karlsplatz 13, A-1040 Wien
XI
Session Fischer Prof. Dr., Franz D.
No. 17 Institut fur Mechanik
Montanuniversitiit Leoben
Franz Josef-Str. 18, A-8700 Leoben
Gallagher Prof., Richard H.
President of Clarkson University
Sncll Hall
Potsdam, New York 13676, USA
Gunther Prof. Dr., Hubert
Institut fur Mechanik
Akademie der Wisscnschaften der D D R
Reichenhainer Str. 88, DDR-D022 Karl-Marx-Stadt
Session Hackbusch Prof. Dr., Wolfgang
No. 13 Institut fur Informatik und Praktische Mathcmatik
Christian-Albrechts-U niversitiit
Olshausenstr. 40, D-2300 Kiel 1
Heuer Dr., Rudolf
Institut fur Allgemeine Mechanik
Tcclmischc Universitiit Wi en
Wicdncr HauptstraBe 8-10, A-1040 Wi en
Session Ingraffea Prof., Anthony
No. 12 Departmcnt of Structural Enginecring
Hollister Hall, Cornell University
Ithaca, New York 14853, USA
Session Karaosmanoglu Dipl.-Ing., Namik
No. 18 Institut fur Technische Mcchanik und Fcstigkeitslehre
Univcrsitiit Karlsruhe
Kaiserstr. 12, D-7500 Karlsruhe
Session Kleiber Prof., Michal
No. 14 Institute of Fundamental Technological Research
Polish Academy of Sciences
Swi<stokrzyska 21, PL-00-049 Warszawa
