Theories of Plates and Shells Critical Review and New ...978-3-540-39905-6/1.pdfR. Kienzler, H....
19
R. Kienzler, H. Altenbach, I. Ott (Eds) Theories of Plates and Shells Critical Review and New Application Proceedings of the Euromech Colloquium 444
Transcript of Theories of Plates and Shells Critical Review and New ...978-3-540-39905-6/1.pdfR. Kienzler, H....
R. Kienzler, H. Altenbach, I. Ott (Eds)
Theories of Plates and Shells Critical Review and New Application
Proceedings of the Euromech Colloquium 444
EUROMECH COLLOQUIUM 444
Critical Review of the Theories of Plates and Shells and New Application
September 22-25, 2002
Bremen I Germany
organized by
R. Kienzler, Universitiit Bremen
H. Altenbach, Martin-Luther-Universitiit, Halle-Wittenberg
~ Universitii.t Bremen
Martin-Luther-Universitat Halle-Wittenberg
Lecture Notes in Applied and Computational Mechanics
Volume 16
Series Editors
Prof. Dr.-Ing. Friedrich Pfeiffer Prof. Dr.-Ing. Peter Wriggers
Springer-Verlag Berlin Heidelberg GmbH
Theories of Plates and Shells
Critical Review and New Applications
Reinhold Kienzler Holm Altenbach Ingrid Ott (Editors)
Springer
the material recitation,
data banks. of the
for use under the
not imply, protec
Professor Dr. REINHOLD KIENZLER
Dipl.-Ing. INGRID OTT Universität Bremen Fachbereich 4, Produktionstechnik Technische Mechanik, Strukturmechanik 28334 Bremen Germany
Professor HOLM ALTENBACH Martin-Luther-Universität Halle-Wittenberg Fachbereich Ingenieurwissenschaften 06099 Halle (Saale) Germany
With 75 Figures
Cataloging-in-Publication Data applied for Bibliographie information published by Die Deutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at <http://dnb.de>
ISBN 978-3-642-05904-9 ISBN 978-3-540-39905-6 (eBook)
DOI 10.1007/978-3-540-39905-6
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for Prosecution under the German Copyright Law.
springeronline.com
© Springer-Verlag Berlin Heidelberg 2004 Originally published by Springer-Verlag Berlin Heidelberg New York in 2004 Softcover reprint of the hardcover 1 st edition 2004
The use of general descriptive names, registered names, 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 free for general use.
Cover design: design & production GmbH, Heidelberg Typesetting: Digital data supplied by editors
Printed on acid-free paper 62/3020Rw -5 4 3 2 1 0
Preface
Theories of plates and shells were initiated in the 19th century with the pioneering publications of Kirchhoff and Aron/Love. In the 20th century these theories have been further developed and refined. The effect of shear deformations, the influence of the change of thickness and cross-sectional warping have been explored as well as non-linear theories - geometrically and physically - were essential objects of thorough scientific investigations. Plate and shell theories are inherently approximative in character since the in-fact three-dimensional state of stress and deformation is described by quantities, which "live" on a two-dimensional surface. Therefore the establishment of consistent theories attracted broad attention.
After a period of a reduced publication activity in the field, plate and shell theories experienced a "renaissance" in recent years. The attention of the plate and shell community was brought back by new applications. The potentials of smart materials, the challenges of adaptive structures, the demands of thin-film technologies etc. on the one hand and the availability of newly developed mathematical tools, the tremendous increase in computer facilities and the improvement of commercial software packages on the other caused a reanimation of the scientific interest.
The aim of the EUROMECH Colloquium 444 "Critical Review of the Theories of Plates and Shells and New Applications" was to bring together active scientists in the field to discuss the common roots of different plate and shell approaches, to review the current state-of-the-art and to develop future lines of research. 50 participants were attracted from 15 countries with civil and mechanical engineering as well as mathematical and physical background. The Colloquium was held at the Atlantic Hotel Universum in Bremen, Germany. During three days 26 oral lectures were presented and 16 poster contributions were thoroughly discussed in an extended poster session. Not only the scientific activities but also the social part of the program furthered fruitful interactions between the participants and contributed to friendship and mutual understanding.
In the present book of lecture notes, the contributions of the participants have been collected and ordered alphabetically by the names of the presenting authors. The responsibility for the contents of the paper lies solely with each author.
The organizers of the EUROMECH Colloquium express their sincere thanks to the sponsors of the symposium: EUROMECH, Gesellschaft fiir Angewandte Mathematik und Mechanik, Deutsche Froschungsgemeinschaft, UniversiUit Bremen, HVG Hanseatische Veranstaltungs GmbH, Naberterm GmbH & Co., Deutsche Airbus, Bremer Stral3enbahn AG. Without their generous support therealization of the conference would not have been possible. The warm hospitality of the Atlantic Hotel Universum is also gratefully acknowledged. They made the par-
VIII Preface
ticipants feel like being at home. Assistants and students of the Fachgruppe Technische Mechanik - Strukturmechanik formed the local organizing committee leaded open-eyed and omnipresent by Dipl.-Ing. Ingrid Ott. Their enthusiasm, readiness and helpfulness made the conference smooth-running and pleasant. Especially to mention are RalfNeuhaus for carefully editing and layouting the book of abstracts and Sebastian Holweg for spending much time and patience in editing the lecture notes. Finally the support by Dr. Merkle of Springer Verlag is much appreciated.
Bremen, August 2003
R. Kienzler H. Altenbach
~
Fig
. 1. P
arti
cipa
nts
of t
he E
UR
OM
EC
H C
ollo
quiu
m 4
44 'C
riti
cal R
evie
w o
f the
The
orie
s o
f Pla
tes
and
She
lls'
he
ld in
Bre
men
, Ger
man
y, S
epte
mbe
r 22-
25, 2
002
"0
..., (I) ;>
()
(I) ><
Contents
The Theory of Simple Elastic Shells H. Altenbach and P. A. Zhilin ............................................................................ 1
Geometric Boundary Layers in Shells With Mixed Type B. Audoly ......................................................................................................... 13
FEM and Time Stepping Procedures in Non-Linear Dynamics of Flexible Branched Shell Structures
1. Chr6scielewski, I. Lubowieckaand W. Pietraszkiewicz .............................. 21
Dynamic Stiffness Vibration Analysis for Higher Order Plate Models M. Eisenberger ................................................................................................. 29
Anisotropic Thermo-Creep-Damage in 3D Thick Plate vs. Reissner's Approach
A. Ganczarski and J. Skrzypek ........................................................................ 39
On a Fast Method for Buckling Load Calculations of Incomplete Ribbed Shells
G. D. Gavrylenko ............................................................................................. 45
Adaptive Wavelet-Algorithms for Inelastic Shells K. Hackl and U. Hoppe .................................................................................... 53
On the Effect of Transverse Core Compressibility on the Buckling of Sandwich Shells
1. Hohe and L. Librescu .................................................................................. 61
Drape Simulation of Flexible Structures L. 1anski and V. Ulbricht ................................................................................. 69
Universal Dynamic Theory of Shells 1. Kaplunov ...................................................................................................... 77
On Consistent Second-Order Plate Theories R. Kienzler ....................................................................................................... 85
2-D Model of Stressed Plate Derived From the 3-D Elasticity Theory Model A. G. Kolpakov and I. G. Sheremet.. ............................................................... 97
XII Contents
Thickness Flexible Theory With Generalized Core Warping for Plane Sandwich Structures
A. Ktihhorn and M. Go1ze ............................................................................. I 07
On the Finite Element Analysis of Layered Structures With Thin Piezoelectric Actuators and Sensors
R. Lammering and S. Mesecke-Rischmann ................................................... 117
Free Waves in Incoherent Slabs G. Lancioni .................................................................................................... 125
Inelastic Behaviour of Stepped Square Plates J. Lellep and A. MUrk .................................................................................... 133
An Assessment of Classical and Refined Plate Theories Derived From the Principle of Virtual Displacements
J. Meenen ....................................................................................................... 141
Stochastic Finite Element Analysis of Plates. Theory and Application. M. Mestrovic ................................................................................................. 149
On Nonlinear Theory of Rigid-Flexible Shells Without the Kirchhoff Hypotheses
E. I. Mikhai1ovskii and A. V. Yermo1enko .................................................... 157
Shell and Solid Type Finite Element Analysis of Creep in Thin-Walled Structures
K. Naumenko and H. Altenbach .................................................................... 165
An Asymptotic Model for Long-Wave Symmetric Motion of a Pre-Stressed Incompressible Plate With Fixed Faces
A. V. Pichugin and G. A. Rogerson ............................................................... 177
Construction of the Theory of Piezoelectric Shells and Plates N. N. Rogacheva ............................................................................................ 185
Boundary Layers Near the Reflected and Transmitted Dilatational Wave Fronts in a Composite Cylindrical Shell
G. A. Rogerson, I. V. Kirillova and Ya. A. Parfenova .................................. 193
Contents XIII
On Some Interior and Boundary Effects in Thin Plates Based on the Asymmetric Theory of Elasticity
S. H. Sargsyan ................................................................................................ 201
On the Numerical Simulation of Thin Textile Reinforced Concrete Layers for the Strengthening of Shell Structures Using a Surface-Related Shell Theory
R. Schlebusch, J. Matheas and B. W. Zastrau ................................................ 211
Refined Wave Theories of Plates and Shells I. T. Selezov ................................................................................................... 219
On Dynamics of Thin Plates With a Periodic Structure Cz. Wozniak and E. Wierzbicki ..................................................................... 225
Critical Review of the Contemporary State of the Theory and Design Methods of Ribbed Plates and Shells
V. A. Zarutsky ............................................................................................... 233
Authors and Co-authors
Altenbach, Holm, Prof. Dr.-Ing. Technische Mechanik, F achbereich Ingenieurwissenschaften Martin-Luther-Universitaet Halle-Wittenberg D-06099 Halle (Saale) Germany e-mail: [email protected]
Audoly, Basile, Dr. Laboratoire de Modelisation en Mechanique, UMR 7607 du CNRS Universite Pierre et Marie Curie 4 place Jussiue, F- 75252 Paris Cedex 05 France e-mail: [email protected]
Chr6scielewski, Jacek, Prof. Department of Civil Engineering, Technical University of Gdansk ul. Narutowicza 11112 80-952 Gdansk Poland e-mail: [email protected]
Eisenberger, Moshe, Associate Prof. Faculty of Civil Engineering, Technion- Israel, Inst. of Technology Technion City, 32000 Israel e-mail: cvrmosh@tx. technion.ac. i I
Ganczarski, Artur, Dr. Institute of Mechanics and Machine Design, Cracow University of Technology al. Jana Pawla II 37, Krakow Poland e-mail: artur@cut l.mech.pk.edu. pi
Gavrylenko, G. D., Prof. S.P. Timoshenko Institute ofMechanics, National Academy of Science Nesterov 3, 03057 Kiev, Ukraine e-mail: GA [email protected]
XVI Authors and co-authors
Golze, Mark, Dipl.-Ing. Chair of structural mechanics and vehicle vibrations Brandenburg University of Technology Cottbus Universitatsplatz 3-4, D-03044 Cottbus Germany
Hackl, Klaus, Prof. Dr.-Ing. Lehrstuhl flir Allgemeine Mechanik, Ruhr-Universitat Bochum D-44780 Bochum Germany e-mail: [email protected]
Hohe, Jorg, Dr.-Ing. Fraunhofer Institut fur Werkstoffmechanik Wohlerstr. 11 79108 Freiburg/Brsg. Germany e-mail: [email protected]
Hoppe, Ulrich, Dr.-Ing. Lehrstuhl fLir Allgemeine Mechanik, Ruhr-Universitat Bochum D-44780 Bochum e-mail: [email protected]
Janski, Lukasz, Dipl.-Ing. Institut flir Festkorpermechanik, Technische Universitat Dresden Mommsenstr. 13, D-01062 Dresden Germany e-mail: [email protected]
Kaplunov, Julius, Prof. Dr. Department of Mathematics, The University of Manchester Oxford Road, Manchester, M13 9 PL United Kingdom e-mail: [email protected]
Kienzler, Reinhold, Prof. Dr.-Ing. University of Bremen PO Box 330440, D- 28334 Bremen Germany e-mail: [email protected]
Authors and Co-authors XVII
Kirillova, Irina V., Dr. Department of Mathematical Theory of Elasticity and Biomechanics, Saratov State University Astrakhanskaya Str. 83, Saratov, 410012 Russia e-mail: KirillovaiV @yandex.ru
Kolpakov, Alexander G., Prof. Dr. Sci Russian Academy of Sciences, Novosibirsk, Russia 324, Bld.95, 9th Novemberstr., Novosibirsk, 630009 Russia e-mail: [email protected]
Klihhom, Arnold, Prof. Dr.-Ing. Chair of structural mechanics and vehicle vibrations Brandenburg University of Technology Cottbus Universitatsplatz 3-4, D-03044 Cottbus Germany e-mail: [email protected]
Lammering, Rolf, Prof. Dr.-Ing. Institute of Mechanics, University of the Federal Armed Forces Hamburg Holstenhofweg 85, D-22043 Hamburg Germany c-mail: rol f.lammering@uni bw -hamburg. de
Lancioni, Giovanni, PhD Student Dipartimento di Ingegneria Civile, Universita di Roma "Tor Vergata" Viale del Politecnico 1,00133, Roma Italy e-mail: [email protected]
Lellep, Jaan, Prof. Institute of Applied Mathematics, Tartu University 2 Liivi str., Tartu, EE2400 Estonia e-mail: [email protected]
Librescu, Liviu, Prof. Dr. Virginia Polytechnic Institute and State University Department of Engineering Science and Mechanics Blacksburg, VA, 24061-0219 USA e-mail: I [email protected]
XVIII Authors and co-authors
Lubowiecka, Izabela, Dr. Department of Civil Engineering, Technical University of Gdansk ul. Narutowicza 11/12 80-952 Gdansk Poland e-mail: [email protected]
Matheas, Jan, Dipl.-Ing lnstitut fur Baumechanik und Bauinformatik, Technische Universitat Dresden D-0 1062 Dresden Germany e-mail: [email protected]
Mikhailovskii, Evgeny I., Prof. Dr. Sci. Matematicheskii Fakultet, Syktyvkarskii Universitet Oktjabrskii pr. 55, 167001 Syktyvkar, Komi Russia
Meenen, Johannes, Dr.-Ing. BASF Aktiengesellschaft, WLF/FF Materials Engineering D- 67056 Ludwigshafen Germany e-mail: [email protected]
Mesecke-Rischmann, Simone, Dipl.-Ing. Institute of Mechanics, University of the Federal Armed Forces Hamburg Holstenhofweg 85, D-22043 Hamburg Germany e-mail: [email protected]
Mestrovic, Mladen, M.Sc., Civ.Eng., Math.Eng. Faculty of Civil Engineering, University of Zagreb Kaciceva 26, 10000 Zagreb Croatia e-mail: [email protected]
Miirk, Annely, PhD Student Institute of Applied Mathematics, Tartu University 2 Liivi str., Tartu, EE2400 Estonia e-mail: [email protected]
Authors and Co-authors XIX
Naumenko, Konstantin, Dr.-Ing. Technische Mechanik, F achbereich Ingenieurwissenschaften Martin-Luther-Universitiit Halle-Wittenberg D-06099 Halle (Saale) Germany e-mail: [email protected]
Parfenova, Ya. A., Dr. Department of Mathematical Theory of Elasticity and Biomechanics, Saratov State University Astrakhanskaya Str. 83, Saratov, 410012 Russia
Pichugin, A1eksey V., Dr. Department of Mathematics, University of Manchester Manchester, Ml3 9PL United Kingdom e-mail: [email protected]
Pietraszkiewicz, Wojciech, Prof. Dr. zw. hab. lnz. Institute of Fluid-Flow Machinery of the Polish Academy of Science UI.Fiszera 14, 80-952 Gdansk Poland e-mail: [email protected]
Rogacheva, Nellya N., Prof. Institute for Economy Communal and Engineering Srednaya Kalitnikovskaya 30, 1 09807 Moscow Russia e-mail: rogachev@mech. titech.ac.jp
Rogerson, Graham A., Prof. Department of Computer and Mathematical Sciences, University of Salford Salford M5 4WT United Kingdom e-mail: [email protected]
Sargsyan, S. H., Prof. Head of "Mathematical Analysis and Differential Equations" Chair Gyumri State Pedagogical Institute Gyumri, 377501, Armenia e-mail: [email protected]
XX Authors and co-authors
Schlebusch, Rainer, Dipl.-Ing Institut fur Baumechanik und Bauinformatik, Technische Universitat Dresden D-0 1062 Dresden Germany e-mail: [email protected]
Selezov, Igor T., Prof. Department of Wave Processes, Institute of Hydromechanics National Academy of Science 8/4 Sheliabov Str., Kiev 03680 Ukraine e-mail: [email protected]
Sheremet, I.G. 324, Bld.95, 9th Novemberstr. Novosibirsk, 630009 Russia
Skrzypek, Jacek, Prof. Institute of Mechanics and Machine Design, Cracow University ofTechnology a!. Jana Pawla II 37, Krakow Poland e-mail: skrzyp@cut I .mech. pk.edu. pi
Ulbricht, Volker, Prof. Institut fur Festkorpermechanik, Technische Universitat Dresden Mommsenstr. 13, D-0 I 062 Dresden Germany e-mail: [email protected]
Wierzbicki, Ewaryst, Prof. Institute of Mathematics and Informatics Cz~stochowa University of Technology ul. Dabrowskiego 73, 42-200 Cz~stochowa Poland e-mail: [email protected]
Wozniak, Czeslaw, Prof. Institute of Mathematics and Informatics Cz~stochowa University of Technology ul. Dabrowskiego 73, 42-200 Cz~stochowa Poland e-mail: wozniak@matinf. pcz. czest. pi
Authors and Co-authors XXI
Yermolenko, Andrey V., assistant professor Matematicheskii Fakultet, Syktyvkarskii Universitet Oktjabrskii pr. 55, 167001 Syktyvkar, Komi Russia e-mail: [email protected]@ssu.komi.eom
Zarutsky, V. A., Prof. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences Nesterov str. 3, 03057, Kiev Ukraine e-mail: string@inmech. kiev. ua
Zastrau, Bernd W., Prof. Dr.-Ing. Institut fUr Baumechanik und Bauinformatik, Technische Universitat Dresden D-0 1062 Dresden Germany e-mail: Bernd. W .Zastrau@mailbox. tu-dresden.de
Zhilin, Pavel A., Prof. Dr. Department of Dynamics of Mechanical Systems, Institute for Problems in Mechanical Engineering of Russian Academy of Sciences V.O.Bolshoy pr. 61, RUS-195225 St. Petersburg Russia e-mail: [email protected]
