IUTAM Symposium on Computational Mechanics of Solid Materialsat Large Strains

SOLID MECHANICS AND ITS APPLICATIONS

Volume 108

Series Editor: G.M.L. GLADW ELLDepartment of Civil EngineeringUniversity of WaterlooWaterloo. Ontario, Canada N2L 3GI

Aims and Scope of the Series

The fundamental questions arising in mechanics are: Why? How? and How much?The aim of this series is to provide lucid accounts written by authoritative researchersgiving vision and insight in answering these questions on the subject of mechanics as itrelates to solids.

The scope of the series covers the entire spectrum of solid mechanics. Thus it includesthe foundation of mechanics; variational formulations; computational mechanics;statics, kinematics and dynamics of rigid and elastic bodies: vibrations of solids andstructures; dynamical systems and chaos; the theor ies of elasticity, plasticity andviscoelasticity; composite materia ls; rods, beams, shells and membranes; structura lcontrol and stability; soils, rocks and geomechanics; fracture ; tribology ; exper imentalmechanics; biomechanics and machine design.

The median level of presentation is the first year graduate student. Some texts are mono­graphs definin g the current state of the field ; others are accessible to final year under­graduates; but essentially the emphasis is on readability and clarity.

IUTAM Symposium onComputationalMechanics of SolidMaterials at LargeStrainsProceedings of the IUTAM Symposium held in Stuttgart,Germany, 20-24 August 2001

Edited by

CHRISTIAN MIEHE

University ofStuttgart,Germany

Springer-Science+Business Media, RV.

A C.I.P. Catalogue record for this book is available from the Library of Congress.

Printed Ol/ acid-free paper

All Rights Reserved

© 2003 Springer Science+BusinessMedia DordrechtOriginally published by Kluwer Academie Publishers in2003 .Softcover reprintofthe hardcover lst edition2003No part of this work may be reproduced, stored in a retrieval system , or transmittedin any form or by any means , electronic, mechanical, photocopying, microfilming, recordingor otherwise, without written permission from the Publisher, with the exceptionof any material supplied specifically for the purpose of being enteredand executed on a computer system, for exclusive use by the purchaser of the work.

ISBN 978-90-481-6239-0 ISBN 978-94-017-0297-3 (eBook)DOI 10.1007/978-94-017-0297-3

Contents

Preface

Scientific Committee and Spon sors

List of Participants

Variational Principles and Non-Convex Problems

ix

xi

xiii

Nonconvex Energy Minimization and Relaxation in ComputationalMaterial ScienceC. Carstensen 3

Rank 1 Convex Hull s of SO(n)-Invariant FunctionsM. Silha vy 21

Evolution of Rate-Independent Inelasticity with Microstructure usingRelaxation and Young MeasuresA. Mielke 33

Mathematical Analysis of Constitutive Equations: Existence andCollapse of SolutionsH.D.Alber 45

Variational Methods in Non-Convex PlasticityS. Aubry, M. Orti: 55

Pulling Phase-Transforming Bars: A Three-Dimensional ViewpointA. DeSimone 67

On the Calculation of Microstructures for Inelastic Materials usingRelaxed EnergiesK. Hackl, U. Hopp e 77

Computational Homogenization of Materials with Microstructuresbased on Incremental Variational FormulationsC. Mieh e, M. Lambrecht, J. Schotte 87

Modeling of Complex Material Response

Superelasticity in Shape-Memory MaterialsL. Anand, P. Thamburaja

v

103

VI

Physically-Based Single and Polycrystal Plasticity Models andtheir Experimental VerificationS. Nemat-Nasser 115

Localized Plastic Flow in Single Crystals: A Nonlocal AnalysisA.Needleman 131

Continuum Thermodynamic Modeling and Simulation of AdditionalHardening due to Deformation IncompatibilityB. Svendsen, S. Reese 141

Objective Rate s in Finite Elastoplasticitya.T. Bruhns 151

Finite Deformation Plasticity with Void Growth and AsymmetricCompression-Tension BehaviorR. Mahnken, E. Stein 161

On the Construction of Polyconvex Anisotropic Free Energy Functionsl. Schroeder, P. Neff 171

Formulation and Computation of Geometrically Nonlinear AnisotropicInelasticityA. Menzel, P. Steinmann 181

On the Representation of Anisotropic ViscoplasticityP. Haupt, T. Kersten 191

Anisotropic Ela stoplastic Material Behavior in Fabric StructuresS. Reese 201

Necking Phenomena of a Fiber-Reinforced Bar modeled byMultisurface PlasticityT. e. Gasser, G.A. Holzapfel 211

Material Growth in Solid-Like MaterialsGA Maugin, S. Imatani 221

Theoretical and Computational Simulation of Viscoelastic PolymericFoams at Finite StrainsW Ehlers, B. Markert 235

Multiscale Analyses and Homogenization Methods

Analysis of Inhomogeneous Materials at Large Strains usingFast Fourier TransformsN. Lahellec, i.c. Michel, H. Moulinec, P'Suquet 247

vii

Multiscale Characterization of Deformation Behavior ofParticulate-Reinforced Metal-Matrix CompositeY. Tomita, Y. Higa 259

Homogenization-Based Predictions for Texture Evolution in HaliteP. Gilormini, Y. u« P. Ponte Castaiieda 269

On the Influence of Texture Model Types on Simulations of SheetMetal Forming ProcessesD. Besdo 279

A Growth Law for Hooke's TensorT. Bohlke, A. Bertram 291

An "Affine" Micromechanical Approach for the Prediction of theElastoplastic Behavior of Polycrystals at Finite StrainF. Auslender, M. Bornert, T. Hoc, R. Masson, A. Zaoui 30I

A "Numerical Mesoscope" for the Investigation of Local Fields inRate-Dependent Elastoplastic Materials at Finite StrainH. Haddadi, S. Heraud, L. Allais, C. Teodosiu, A. Zaoui 311

Computational Mechanics of Heterogeneous Materials: Influence ofResidual StressesS. Schmauder, U. Weber, E. Soppa 321

Nonlinear Waves in Solids and the Inverse ProblemsJ. Engelbrecht, A. Ravasoo, A. Salupere 331

Advanced Numerical Methods

The Extended Finite Element and Level Set Methods for Non-Planar3D Crack GrowthN. Moes, A. Gravouil, T. Belytschko 343

A Large Strain Discontinuous Finite Element Approach to LaminatedCompositesC.N. Wells, J.J.C. Remmers, R. de Borst, L.J. Sluys 355

Cohesive Zone Modeling of Crack Growth along Different FunctionallyGraded Joints between Two MaterialsV. Tvergaard 365

Discrete Modeling of Cracking of Brittle Materials in Large RelativeMotion and Localization ProblemA. Delaplace, A. Ibrahimbegovic 375

viii

Goal-Oriented Error Control for Large Strain ViscoplasticityF Larsson, K. Runesson, P. Hansbo

Affine-Approximate Finite Element Methods and StabilizationTechniques in ElasticityB.D. Reddy

Advanced Computational Applications

385

395

Numerical Investigation of High-Pressure Hydraulic Hoses with SteelWire BraidH. Rattensperger, J. Eberhardsteiner; H.A. Mang 407

Finite Deformation Fracture of TiresS. Govindjee 417

Computational Strategies for Inelastic Solids at Large Strains: SomeRecent Issues with an Industrial ApplicationD. Peric, W Dettmer 425

Reliability-Based Analysis of Large Deformations in Metal FormingOperationsM. Kleiber, J. Knabel, J. Rojek, R. Stocki 435

Development of Crystal Plasticity Design System to generate aHigh-Strength and High-Formability Material£~~~~i ~

Forging Simulation incorporating Strain-Induced Phase Transformationusing the Finite Volume MethodP.R. Ding, T. Inoue , S. Imatani, D. Y. Ju, E. de Vries 455

Modeling and Characterization of Large Shear Strains at a Rail SurfaceW Daves, FD. Fischer; W Stadlbauer, E. Werner 467

Author Index 477

Preface

The steady increase in computatio nal power induces an equa lly steady increasein the complexity of the engineering models and associated computer codes.This particularly affec ts the modeling of the mechanical response of materials.Materia l behavior is nowadays modeled in the strongly nonlinear range by tak­ing into account finite strains, com plex hysteresis effec ts, fracture phenom enaand multiscale features . Progress in this field is of fundamental importance formany engineering disciplines, especially those concerned with material testing,safety, reliability and serviceability analyses of engineering structures .

In recent years many important achievements have been made in the field ofthe theoretical formulation, the mathematical analysis and the numerical im­plementation of deformation processes in solids. Computational methods andsimulation techniques today play a central role in advancing the understandingof complex material behavior. Research in the field of "Computational Mechan­ics of Materials" is concerned with the developm ent of mathematical modelsand numerical solution techniqu es for the simulation of material response. It isa very broad interdisciplinary field of science with inputs from traditional fieldssuch as Applied Mechanics, Applied Mathematics, Materials Science, SolidState Physics and Information Technology.

The intention of the IUTAM Symposium "Computational Mechanics of SolidMate rials at Large Strain s", held at the Universi ty of Stuttgart, Germany, fromAugust 20-24, 200 I, was to give a state of the art and a survey about recentdevelopments in this field and to create perspectives for future research trends.The first key concern of the Symposium was a discussion of models for solidmaterials undergoing deformations large strains Typical applications are sim­ulations of forming processes and failure mechanisms of structures. Thesetypes of models are mostly governed by the geometrically nonlinear theory ofcontinuum mechani cs. The setting up of material models in this context andtheir mathematical and computational analysis is highly challenging due to thenonlin ear geometry. The second key aspect of the Symposium dealt with themultiscale characteristics ofmaterials. These multi scale properties are often apriori given by the structure of the material on different length scales, but mayalso be generated durin g the large strain deformation process as a consequenceof phase transitions and the development of microstructures. The discussionof mathematical and computational analyses of such phenomena on the ba­sis of homogenization approaches and variational methods was an importantintention of the conference.

IX

x

The IUTAM Symposium set a state of the art and a survey about

• theoretical and computational approaches to the modeling of large-strainelastic and inela stic deformations of solid s applied to metal s, polymersand geomaterials,

• mathematical analysis of finite inelastic deformations of solids, incre ­mental variational formulations, treatment of non-convex problems andmicrostructures,

• alternative continuous and discrete micromechanical approac hes to de­formation mechanisms in solid materials on different phenomenologicalscales,

• homogenization methods and adaptive computational tools for the deter­mination of effecti ve overall properties of heterogeneous materials suchas polycrystals, composites and granular materials.

The scientific programme consisted of 45 lectures including eight keynote pre­sentations given by leading international scientists who were invited by theScientific Committee. About 100 scientists from 14 nations attend ed the Sym­posium and actively took part in the discussions. The Symposium provided aforum for the interaction amon g young and established researchers from solidmechani cs, applied mathematics and materials science.

Thi s book contains the printed contributions of the IUTAM Symposium "Com­putational Mechanics of Solid Materials at Large Strains" . The time and effortspent by the authors for preparing their manuscripts is greatl y appreciated. Thescientific and social success of the Symposium was critically based on the finan­cial support of sponsors who also provided funds for international participants.It is my pleasant duty to give my thanks to the organizations and companieswhich made this conference possible by supporting it in a very generous way:the IUTAM Bureau, the German Research Foundation (DFG), the University ofStuttgart and the diverse comp anies listed below. The organi zation of the Sym­posium was in the hand of the local organi zing committee. The dedicated workof the conference secretaries Dr.-Ing. Matthias Lambrecht and Dipl.-Ing. JanSchotte is deeply acknowledged. Also, special thank s go to Kluwer AcademicPubli shers, Dordrecht, for their efforts to produce this attractive Symposiumvolume.

May 2002 Christian Miehe

International Scientific Committee

Christian Miehe (Germany), ChairmanRene de Borst (The Netherlands)Jiiri Engelbrecht (Estonia)Tatsuo Inoue (Japan)Michal Kleiber (Poland)Alan Needleman (U.S.A.)Michael Ortiz (U.S.A.)D.RJ . Owen (United Kingdom)Andre Zaoui (France)Franz Ziegler (Austria)

Sponsors of the IUTAM Symposium

DFG Deutsche Forschungsgemeinschaft, Bonn, GermanyIUTAM International Union of Theoretical and Applied MechanicsKanzlei Bardehle & Partner, Miinchen, GermanyHilti AG, Schaan, Principality of LiechtensteinRobert Bosch GmbH , Stuttgart, GermanyLandesbank Baden-Wiirttemberg, Stuttgart, GermanyINA Walzlager Schaeffter oHG, Herzogenaurach, GermanyAudi AG, Ingolstadt, GermanySiemens AG, Stuttgart, GermanyDaimlerChrysler AG, Stuttgart, GermanyCAD-FEM GmbH, Grafing bei Miinchen, GermanyDr. Koch Computertechnik AG, Tiibingen, GermanyLeonhardt Andra und Partner GmbH, Stuttgart, GermanyAndreas Stihl AG & Co., Waiblingen, GermanyFesto AG & Co., Esslingen, GermanyKluwer Academic Publishers, Dordrecht, The NetherlandsKonrad Wittwer GmbH & Co. KG, Stuttgart, GermanyEd. Ziiblin AG, Stuttgart, GermanyDebeka, Stuttgart, Germany

Xl

List of Participants

Prof. Dr. Hans-Dieter Alber, TU Darmstadt, Fachb ereich Mathematik , Schlossgarten­

straj3e 7. 64289 Darm stadt, Germany, alber @mathematik.tu-darmstadt.de

Prof. Lallit Anand, Massachusetts Institute of Techn ology, Mechani cal Engineering De­

partment , 77 Massachusetts Aven ue, Cambridge , MA 02 139, U S.A ., anand@mit.edu

Mark us Andre, Cont inental AG. Strategische Technologie - 5 1120. Jiidekamp 30, 304 19

Hannover; Germany. markus.andre@contLde

Dipl.-Ing. Nikolas Ape l, Unive rsitiit Stuttgart, lnstitut fiir Me chanik (Bauwesen}, Pjaffen­

waldring 7. 70550 Stuttgart. Germany. apel@mechbau .uni-stuttgart.de

Dr. Francois Auslender, Ecole Polytechnique I CNRS. Lahoratoire de Mecanique des

Solides, 91128 Palaiseau Cedex, France. auslende @lms.polytechn ique.fr

Dr.-Ing. Herbert Baaser, Techn ische Universitiit Darmstadt, lnstitut fiir Mechanik, Hoch­

schulstrafle I . 64289 Darmstadt, German y. baaser @mechanik.tu-darmstad t.de

Dr -Ing. Franz-Jose ph Barthold, TU Braunschweig, Course Director of M.Se. Programme

CSE, Biiltenweg 17, 38106 Braunschweig, Germany. FJ.Barthold @tu-bs.de

Dipl -Ing. Claus G. Bayreuther, Unive rsitiit Stuttga rt. lnstitut fii r Mechanik (Bauwesen],

Pfaffen waldr ing 7. 70550 Stu ttgart . Germany. bayr@mechbau.uni-stuttga rt.de

Prof. Ted Belytschko, No rthwestern Univers ity. Departm ent of Mechan ical Engineering,

2 145 Sheridan Road. Evanston , IL 60208-3111, U SA . tedbelytschko@nwu.edu

Prof. Dr.-Ing. Albrecht Bertram, Otto-von -Guericke Uni versitiit Magdebu rg, lnstitut fiir

Mechanik, Universitiitsplatz 2,390 16 Magdeburg, Germany. bertram @mb.uni-magdeburg.de

Prof. Dr.-Ing. Dieter Besdo, Univers itdt Hannover; lnstitutfiir Mechanik, Appelstraj3e 11,

30167 H annove r; Germany, besdo @ifm.uni-hannover

Dr.-Ing. Thomas Bohlke , Otto- v-Guericke Univers itiit Ma gdebu rg, lnstitut fiir Mechanik,

Universitiitsplat; 2,39016 Ma gdebu rg, Ge rmany, thomas.boehlke @mb.uni-magdeburg.de

Prof. Mary C. Boyce, Massachusetts Institute of Techno logy. Mechan ical Engine erin g

Department, 77 Massachus etts Avenue, Cambridge, MA 02/39. USA. mboyce @mit.edu

Priv.-Doz. Dr.-Ing. Michael Briinig, Unive rsitiit Dortmund, Lehrstuhl fii r Baumechanik­

Statik, August-Schmidt-Strafie 8. 44221 Dortmund, Germany. michael.bruenig@uni-dortmund .de

Prof. Dr.-Ing. Otto T. Bruhns, Ruhr-Universit iit Bochum , Lehrst uhl fiir Techni sche

Mechan ik. Universitiitsstrafie 150, 44 780 Bochum, German); bruhns@tm.bLruhr-uni-bochum.de

XIII

xiv

Prof. Dr. Carsten Carstensen, lnst itut f iir Angewandte und Num erische Mathematik,

Techni sche Universitiit Wien, Wiedner Hauptstrafie 8-10, 1040 Vienna, Austria,

Carsten.Carstensen @tuwien.ac.at

Dr. Wemer Daves, Montanuniversitiit Leoben, ln stitutfiir Mechanik, Franz-Josef-Strafie 18,

8700 Leoben, Austria, daves @hal.unileoben.ac.at

Prof. Rene de Borst, Delft University of Technology, Aerospace Engineering / Koiter

Institute, PO Box 5058,2600 GA Delft, The Netherlands, R.deborst @lr.tudelft .nl

Dr. Am aud Delaplace, Laboratoire de Mecanique et Technologie, Ecole normale supe rieure

de Cachan , 6 1 Avenue du President Wilson , 94235 Cachan Cedex, France,Arnaud.Delaplace @

Imt.ens-cachan.fr

Dr. Antonio DeSimone , Max-Planck-Institutefor Mathematics in the Sciences , lnselstrafl e

22 -24,04103 Leipzig, Germany, desimone @mis.mpg.de

Dipl.-Ing. Joachim Dettmar, Univers itiit Stutt gart, lnstitut fiir Mechanik (Bauwese n),

Pfaffe nwaldrin g 7, 70550 Stuttgart, Germany, dettmar@mechbau.uni-stuttgart.de

Prof. Dr. techn. Josef Eberhardsteiner, Technisc he Universi tdt wien. Lnstitu t fiir Festig­

keitslehre, Karlsplat; /3/202, 1040 Wien, Austria, Josef .Eberhardsteiner@tuwien.ac.at

Prof. Dr.-Ing. Wolfgang Ehlers, Universitiit Stuttgart, lnstitut fii r Mechanik (Bauwesen},

Pfaffelllvaldring 7, 70550 Stuttgart , Germany, ehlers @mechbau.un i-stuttgart.de

Dipl.- Ing. Bemhard Eidel, TU Darmstadt, Institut fiir Statik, Alexanderstrafie 7, 64283

Darmstadt, Germany, eidel @statik.tu-darmstadt.de

Prof. Jiiri Engelbrecht , Tallinn Techni cal University, Institute of Cybernetics, Akadeemia

tee 21, / 26/8 Tallinn, Estonia , je@ioc.ee

Prof. Dr. techn. Franz Dieter Fischer, Montanuniversitiit Leoben, lnstitutfiir Mechanik ,

Franz-Josef-Strafie / 8, 8700 Leoben, Au stria, fischer @unileoben .ac.at

Dr. Hans-Peter Ganser, Hilti AG, Feldkircherstrafie l OO, 9494 Schaan , Principality of

Liechtenstein, gaenser@hiltLcom

Prof. Dr. Huajian Gao, Max-Planck-In stitut fii r Metallforschung, Theorie mesoskopischer

Phiinomene, Sees traj3e 92, 70174 Stuttgart, Germany, hjgao @mf.mpg.de

Prof. Sanjay Govindjee, University of California at Berkeley, Stru ctura l Eng ineering,

Mechanics and Ma terials, 721 Davis Hall, Berkeley, CA 94720, U.S.A., sanjay @ce.berkeley.edu

Prof. Dr.-Ing. Friedrich Gruttmann, Technische Universitdt Darmstadt, Institutfiir Statik,

Alexanderstrafl e 7, 64283 Darmstadt, Germany, gruttmann @statik .tu-darmstadt.de

Dipl.-Math . Sonja Gutm ann, Universitiit Stuttgart, Institut fiir Mechan ik (Bauwesen),

Pfaffen waldring 7, 70550 Stuttgart, Germany, gutmann @mechbau .uni-stuttga rt.de

xv

Prof. Dr. rer. nat. Klaus Hackl , Ruhr-Universitiit Bochum , Lehrstuhl f ur Allgemeine

Mechanik, Gebdude lA 3/126, 44780 Bochum, Germany, hackl@am.bLruhr-uni -bochum.de

Dr. Halim Haddadi, Univers ite Paris-No rd, Institut Galilee, Avenue J.-B. Clement, 93430

Villetaneuse, France, halim.haddadi@lpmtm.univ-par is13.fr

Dr.-Ing . Stefan Hartmann, Univers itiit Kassel, Institutfii r Mechanik , Monchebergstrafie 7,

34/09 Kassel, Germany, hart@ifm.maschinenbau.uni-kassel.de

Prof. Dr.-Ing. Peter Haupt, Universitdt Kasse l, Institut fiir Mech anik, Miinchebergstrafle 7,

34109 Kassel, Germany, haupt@ifm.masch inenbau.uni-kassel.de

Andrew Heath, ESI GmbH, Frankfurter StrafJe /3-1 5, 65760 Eschborn, Germany,

ah @esigmbh .de

Dr, Andre as Honig , Universi tdt Bonn , 1nstitut f ur ange wandte Mathematik, Wegeler­

strafJe /0, 53//5 Bonn, Germany, hoenig@iam.uni-bonn.de

Prof. Gerhard Holzapfel, Technische Universitiit Graz; Institut fu r Baustatik; Schiess tatt­

gasse 14b, 80 /0 Graz, Austria, Gerhard.Holzapfel @biomech .tu-graz.ac.at

Dr.-Ing. Kurt Hornberger, Robert Bosch GmbH, FV/ PLK3, Postfach 1131, 7/301 Waib ­

lingen , Germany, kurt.hornberger@de.bosch .com

Prof. Adnan Ibrahimbegovic, Laboratoire de Mecanique et Technologie, Ecole nor­

male superieure de Cachan, 61 Avenue du President Wilson, 94235 Cachan Cedex, France,

ai@lmt.ens-cachan.fr

Prof. Tatsuo Inoue , Kyoto Unive rsity, Department ofEnergy Conve rsion Science, Yoshida­

honmachi, Saky o-ku, Kyoto 606-850 /, Japan , inoue@energy.kyoto-u.ac.jp

Or. Michael Kaliske, Continental AG, Strategische Technologie - 51/20, Jiidekamp 30,

30419 Hann over, Germany, michael.kal iske@contLde

Prof. Dr.-Ing. Rolf Katzenbach, Technische Universitiit Darmstadt. Institut und Ver­

suchsanstalt f ur Geotechnik, PetersenstrafJe /3, 64287 Darmstadt, Germany, katzenbach @

geotechnik.tu-darm stadt.de

Dip\.-Ing. Thomas Kersten, Universi tiit Kassel, Institut fu r Mechan ik, Moncheberg­

strafJe 7, 34109 Kassel, Germany, kersten@ ifm.maschinenbau.uni-kassel.de

Prof. Michal Kleiber, Polish Academy ofSciences, Institute ofFundamental Technological

Research, Swie tokrzys ka 2/, 00-049 Warsaw, Poland, mkleiber@ippt.gov.pl

Dip\. -Ing . Andreas Koch, Univers itdt Stuttgart, lnstitutfii r Mechanik (Bauw esen ). Pfaffen ­

waldring 7, 70550 Stuttgart, Germany, koch @mechbau.uni-stultgart.de

Prof. em. Dr.-Ing . Dr.-Ing. E.h. Franz Gustav Kollmann, Mau erkircherstrajJe 16,

8/679 Miinchen, Germany, fg.kollmann@t-online .de

XVI

Dr.-lng. Matthias Lambrecht, Universitdt Stuttgart. Institut fur Mechanik (Bauwesen) ,

Pfaffenwaldring 7, 70550 Stuttgart, Germany, ml@mechbau.uni-stutlgart.de

Dipl.-lng. Frank Lulei, Universitdt Stuttgart, lnstitut fiir Mechanik (Bauwesen), Pfaffen­

waldring 7, 70550 Stuttgart, Germany, lulei@mechbau.uni-stutlgart.de

Prof. Dr. techno Dr. h.c. Herbert A. Mang, Technische Universitiit Wien, Institut fur

Festigkeitslehre, Karlsplat: 131202, 1040 Wien, Austria, Herbert.Mang@tuwien.ac.at

Prof. Dr.-lng. Anton Matzenmiller, Universitdt Kassel, Institut fiir Mechanik, Monche­

bergstraj3e 7, 34109 Kassel, Germany, amat@ifm.maschinenbau.uni-kassel.de

Prof. Gerard A. Maugin, Universite Pierre et Marie Curie, Laboratoire de Modelisation

en Mecanique, Case 162,8 rue du Capitaine Scott, 75015 Paris, France, gam@ccr.jussieu.fr

Dipl.-lng. Andreas Menzel , Universitiit Kaiserslautern, Lehrstuhl fii r Technische

Mechanik, Postfach 3049,67653 Kaiserslautern, Germany, amenzel@rhrk.uni-kl.de

Prof. Dr.-lng. Christian Miehe, Universitdt Stuttgart, Institut fiir Mechanik (Bauwesen),

Pfaffenwaldring 7, 70550 Stuttgart, Germany, cm@mechbau.uni-stutlgart.de

Prof. Dr. rer. nat. Alexander Mielke, Universitdt Stuttgart, Mathematisches Institut A,

Pfaffenwaldring 57, 70569 Stuttgart, Germany, mielke@mathematik.uni-stutlgart.de

Prof. Eiji Nakamachi, Osaka Institute ofTechnology, Department ofMechan ical Engineer­

ing, 5-16-1 Omiya, Asahi, Osaka 535-8585, Japan, nakamati@med.oit.ac.jp

Prof. Alan Needleman, Brown University, Division ofEngineering, Barus & Holley Build­

ing, Box M, Providence, RI02912, U.S.A., needle@engin.brown.edu

Dr. rer. nat. Patrizio Neff, Technische Universitiit Darmstadt, Fachbereich Mathematik,

AG6, Schloj3gartenstraj3e 7, 64289 Darmstadt, Germany, neff@mathematik.tu-darmstadt.de

Prof. Sia Nemat-Nasser, University of California at San Diego, Center ofExcellencefor Ad­

vancedMaterials, 9500 Gilman Drive, Lalolla, CA 92093-0416, U.S.A.,sia@halebopp.ucsd.edu

Dr.-lng. Claus Oberste-Brandenburg, Ruhr-Un iversitdt Bochum, Lehrstuhlf. Technische

Mechanik, Universitdtsstrafie 150, 44780 Bochum, Germany, cob@tm.bLruhr-uni-bochum.de

Prof. Michael Ortiz, California Institute ofTechnology, Graduate Aeronautical Laborato­

ries, 1200 East California Boulevard, Pasadena, CA 91125, U.S.A.,ortiz@aero.caltech.edu

Prof. D. Roger J. Owen, University of Wales Swansea, Department ofCivil Engineering,

Singleton Park, Swansea SA2 8P?, United Kingdom, D.R.J.Owen@swansea.ac.uk

Prof. Djordje Peric, University of Wales Swansea , Department of Civil Engineering,

Singleton Park, Swansea SA2 8P?, United Kingdom, D.Peric@swansea.ac.uk

XVll

Prof. Pedro Ponte-Castaiieda, University of Pennsylvania, Mechanical Engineering and

Applied Mechanics, 220 S. 33rd Street, Philadelphia, PA 19104, U.S.A., ponte@seas.upenn.edu

Prof. Dr.-Ing. Ekkehard Ramm , Universitiit Stuttgart, 1nstitut fur Baustatik, Pfaffen­

waldring 7, 70569 Stuttgart, Germany, eramm@statik.uni-stuttgart.de

Prof. Mark M. Rashid, University of California at Davis, Departm ent of Civil and Envi­

ronmental Engineering, 1 Shields Avenue, Davis, CA 95616, U.S.A., mmrashid@ucdavis.edu

Prof. Daya Reddy, University of Cape Town, Faculty ofScience, PD Hahn Buildin g, 7701

Rondebosch, South Africa, bdr@maths.uct.ac.za

Prof. Dr.-Ing. Stefanie Reese , Ruhr-Universitiit Bochum, Numerische Mechanik und Simu­

lationstechnik, Gebiiude 1A 011128, 44780 Bochum, Germany, reese@nm.ruhr-uni-bochum.de

Priv.-Doz. Dr. Volker Reitmann, Max-Planck-1nstitut fu r Physik komplexer Systeme,

Nothn itzer StrafJe 38, 01187 Dresden, Germany, reitmann@rcs.urz.tu-dresden.de

Dipl.-Ing. Andreas Rieger, Universitiit Stuttgart, 1nstitut f ur Mechanik (Bauwesen),

Pfaffenwaldring 7, 70550 Stuttgart, Germany, rieger@mechbau.uni-stuttgart.de

Prof. Dr. Karl Roll, DaimlerChrysler AG, Produktionsplanung Mercedes-Benz Pkw,

HPC: B51O, Abt.: PWTIVEO , 71059 Sindelfingen, Germany, karl.roll@daimlerchrysler.com

Dr. Franz Roters, Max-Plan ck-1nstitut fu r Eisenforschung, Abteilung Mikrostrukturphysik

und Umformtechnik, Max-Planck-StrafJe 1, 40237 Dusseldorf, Germany, roters@mpie.de

Prof. Kenneth Runesson , Chalmers University of Technology, Department of Solid Me­

chanics, Hiirsalsvdgen 7,41296 Goteborg, Sweden, keru@solid.chalmers.se

Dr.-Ing. habil. Carlo Sansour, Universitiit Karlsruhe, 1nstitut fu r Baustatik, Kaiser­

strafJe 12, 76131 Karlsruhe, Germany, carlo.sansour@bs.uni-karlsruhe.de

Dipl.-Ing. Gerald Scheday, Universitiit Stuttgart, Institut fur Mechanik (Bauwesen),

Pfaffenwaldring 7, 70550 Stuttgart, Germany, scheday@mechbau.uni-stuttgart.de

Prof. Dr.-Ing. Dr. h.c. Werner Schiehlen, Universitiit Stuttgart, 1nstitut Bfiir Mechanik,

Pfaffenwaldring 9, 70569 Stuttgart, Germany, wos@mechb.uni-stuttga rt.de

Prof. Dr. rer. nat. Siegfried Schmauder, Universitiit Stuttgart, Staatliche Materialpriifan­

stalt, Pfaffenwaldring 32, 70569 Stuttgart, Germany, Siegfried.Schmauder@mpa.uni-stuttgart.de

Dr.-Ing. Ingo Schmidt, Technische Universitdt Darmstadt, 1nstitut fii r Mechanik (IV),

HochschulstrafJe 1,64289 Darmstadt, Germany, Lschmidt@mechanik.tu-darmstadt.de

Dipl.-Ing. Jan Schotte, Universitdt Stuttgart, 1nstitut fii r Mechanik (Bauwesen), Pfaffen­

waldring 7, 70550 Stuttgart, Germany, schotte@mechbau.uni-stuttgart.de

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Prof. Dr.-lng. Jorg Schroder, Universitiit Essen, Institut f ur Mechanik. Universitiits­

straj3e 15, 4511 7 Essen, Germany, j.schroeder@uni-essen.de

Prof. Miroslav Silhavy, Academy of Sciences ofthe Czech Republic, Mathematical Institute,

Zitnti 25, 11567 Prague 1, Czech Republic, silhavy @math.cas.cz

Prof. em. Dr.-lng. Dr.-lng. E.h. Dr. h.c. mult. Erwin Stein, Universitdt Hannover, in­

stltut fiir Baumechanik und Numerische Mechan ik, Appelstraj3e9A, 30 167 Hannover, Germany,

stein @ibnm.uni-hannover .de

Prof. Dr.-lng. Paul Steinmann, Universitdt Kaiserslautern, Lehrstuhl fu r Technische

Mechanik, Postfach 3049, 67653 Kaiserslautern, Germany, ps@rhrk.uni-kl.de

Prof. Pierre M. Suquet, Laboratoire de Mecanique et d 'Acoustique I C.N.R.S., 31 chemin

Joseph Aig uier, 13402 Marseille Cedex 20, France, suquet@lma.cnrs-mrs.fr

Prof. Dr. rer. nat. Bob Svendsen , Universitiit Dortmund, Fakultiit Maschinenbau,

Lehrstuhl fiir Mechanik, Leonhard-Euler-Straj3e 5, 44221 Dortmund, Germany,bob.svendsen @

mech.mb.uni-dortmund.de

Prof. Cristian Teodosiu, Universite Paris-Nord, Institut Galilee, Avenue J.-B. Clement,

93430 Villetaneuse, France, teodos iu@galilee.univ-paris13 .fr

Dr. Kathrin Thiele, Continental AG, Strategische Technologie - 51120, Jiidekamp 30, 30419

Hannover, Germany, kathrin .thiele@contLde

Prof. Yoshihiro Tomita, Kobe University, Graduate School ofScience and Technology, 1-1

Rokkodai-cho Nada-ku Kobe, Hyogo 657-8501, Japan, tomita@mech.kobe-u.ac.jp

Prof. Viggo Tvergaard, Technical University of Denmark, Department of Mechanical

Engineeri ng, Solid Mechanics, Nils Koppels Alle, Building 404, 2800 Kgs. Lyngby, Denmark,

viggo@fam.dtu.dk

Dr.-lng . Wolfgang A. Wall, Universitiit Stuttgart, lnstitutfiir Baustatik, Pfaffenwaldring 7,

70569 Stuttgart, Germany, wall @statik.uni-stuttgart.de

Prof. Andre Zaoui, Ecole Polytechnique I CNRS, Laboratoire de Mecanique des Solides,

91128 Palaiseau Cedex, France, zaoui@lms.polytechnique.fr

Dipl.-Ing. Holger Zecha , Universitdt Stuttgart, ln stitutfiir Mechanik (Bauwesen), Pfaffen­

waldring 7, 70550 Stuttgart, Germany, zecha @mechbau .uni-stuttgart.de

Dr. Zisu Zhao, Max-Planck-Institut fii r Eisenforschung, Abteilung Mikrostrukturphysik und

Umformtechnik, Max-Planck-Straj3e 1, 40237 Diisseldorf, Germany, zhao@mpie.de

Prof. Dr. techn . Dr. h.c. Franz Ziegler, Technische Universitiit Wien, Institut fii r Allge­

meine Mechanik, Wiedner-Hauptstraj3e 8- 10, 1040 Wien, Austria, franz.ziegler @tuwien.ac.at