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Modelling of Metal Forming Processes: Proceedings of the Euromech 233 Colloquium, Sophia Antipolis, France, August 29–31, 1988 PDF

342 Pages·1988·16.729 MB·English
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MODELLING OF METAL FORMING PROCESSES OfR elated Interest: J. Caldwell & R. Bradley (eds.) Industrial Vibration Modelling, 1987, ISBN 90--247-3423-1 O. D. D. Soares & Perez-Amor (eds.) Applied Laser Tooling, 1987, ISBN 90--247-3486-x R. J. Moreau (ed.) Measurement and Control in Liquid Metal Processing, 1987, ISBN 90--247-3510--6 T. J. Smith (ed.) Modelling the Flow and Solidification of Metals, 1987, ISBN 90--247-3526-2 G. N. Pande & J. Middleton (eds.) Numerical Techniques for Engineering Analysis and Design,NUMETA 87, Volume 1, 1987,ISBN90--247-3564-5 G. N. Pande & J. Middleton (eds.) Transient/Dynamical Analysis and Constitutive Laws for Engineering Materials, NUMETA 87, Volume 2, 1987, ISBN 90--247-3565-3 Modelling of Metal Forming Processes Proceedings of the Euromech 233 Colloquium, Sophia Antipolis, France, August 29-31, 1988 edited by J.L. CHENOT Centre de Mise en Forme des Materiaux, Ecole Nationale Superieure des Mines de Paris, Sophia Antipolis, Valbonne, France and E. ONATE Escuela Tecnica Superior de lngenieros de Caminos y Puertos, Barcelona, Spain KLUWER ACADEMIC PUBLISHERS DORDRECHT / BOSTON / LONDON Library of Congress Cataloging in Publication Data EurCl1leCh ColloquiWII (233 : 1988 : Sophia Antipolis, France) Modelling of metal fonming processes. 1. Hctal-work--Computer sinulation--Congresses. 2. Finite element mcthod--Congresses. 1. Chenot, J. L. 11. onate, E. III. Title. ts213.EQ7 1988 671.3 88-13242 ISBN·13: 978·94·010·7131-4 e·ISBN-13: 978·94·009·1411·7 001: 10.1007/978-94-009-1411-7 Published by Kluwer Academic Publishers, P.O. Box 17. 3300AA Dordrecht, 1be Netherlands. Kluwer Academic Publishers incorporates the publishing programmes of D. Reidel. Martinus Nijhoff, Dr W. Junk andMTP Press. Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers, 101 Philip Drive, Norwell, MA 02061 , U.S.A. In all other countries. sold and distributed by Kluwer Academic Publishers Group, P.O. Box 322, 3300 AH Dordrecht, The Netherlands. All Rights Reserved © 1988 by Kluwer Academic Publishers Softcover reprint of the hardcover 1st edition 1988 No part of the material protected by this copyright ootice may be reproduced or utilized in any form or by any means, electronic or mechanical including photocopying, recording or by any information storage and retrieval system. without wrinen permission from the copyright owner PREFACE The physical modelling of metal forming processes has been widely used both in University and in Industry for many years. Relatively simple numerical models, such as the Slab Method and the Upper Bound Method, were first used and many such models are implemented in the industry for practical design or regulation of forming processes. These models are also under investigation in the University, mainly for treat ments which require low cost calculations or very fast answers for on-line integration. More recently, sophisticated numerical methods have been used for the simulation of metal flow during forming operations. Since the early works in 1973 and 1974, mainly in U.K. and U.S.A., the applications of the finite element method to metal processing have been developed in many laboratories all over the world. Now the numerical approach seems to be widely re cognized as a powerful tool for comprehension oriented studies, for predic ting the main technological parameters, and for the design and the optlmi zation of new forming sequences. There is also a very recent trend for the introduction of physical laws in the thermo-mechanical models, in order to predict the local evolution of internal variable representing the micro structure of the metal. To day more and more practicians of the Industry are asking for compu ter models for design of their forming processes. This volume represents an effort to assess the present state of the art, in the development of compu ter codes, in the validation of the models by comparison with experimental data, and to stimulate exchanges between material scientists and engineers from industry. This volume contains contributions to : - the analysis of the constitutive equations of material, the friction law, the prediction of defects, and the physical modelling, - the new developments in formulation of the finite element method for metal flow including error estimation, - application of real forming operations cold and hot rolling, forging, drawing, sheet forming and casting. It is a pleasure for the editors to thank Pr J. who sugges SALEN~ON, ted the idea of the colloquium, and assisted us for its organization. They finally wish to congratulate the authors for their excellent work, and thank them for making this conference successful. The editors J.L. CHENOT E. O~ATE v Scientific Committee J.L. CHENOT Ecole des Mines de Paris G. DUVAUT Universite de Paris VI E. £mATE Escuela Technica Superior de Ingenieros de Caminos Canales y Puertos - Barcelone M. PREDELEANU E.N.S.E.T. Cachan J. L.M.S. - Ecole Poly technique SALEN~ON Organising Co.mittee M. BELLET Ecole des Mines de Paris C. LEVAILLANT Ecole des Mines de Paris Eo MASSONI Ecole des Mines de Paris P. MONTMITONNET Ecole des Mines de Paris Colloquium Sponsors ARMINES ASSOCIATION UNIVERSITAIRE DE MECANIQUE DIGITAL EQUIPEMENT CORPORATION ECOLE DES MINES DE PARIS I.R.S.I.D. MICHELIN PECHINEY REGIE NATIONALE DES USINES RENAULT TEKSID TABLE OF CONTENTS PART 1 : MATERIAL BEHAVIOUR P. MAZILU, A. SKIADAS: The description of yield surfaces for cold prestressed metals with the hypothesis of the isotropy centers translation 3 R.B. PECHERSKI: Constitutive description and numerical approach in modelling for metal forming processes 11 G. DACKWEILER, E. EL-MAGD: Simulation of impact tension deformation of metals by FEM. 19 G.J. CREUS, A.G. GROEHS: Finite elements analysis of large plastic deformation in metals. 27 E. LUNDBACK, I. L. SVENSSON, P.E. PERSSON: Modelling of structure formation and relation to mechanical properties of nodular cast iron. 37 PART 2 : NUMERICAL TECHNIQUES L. CANNIZZARO, E. LO VALVO, F. MICARI, R. RICCOBONO: H and P mesh refmement in the metal forming FEM analysis. 49 J. HUETINK, J. VAN DER LUGT, P.T. VREEDE: A mixed Eulerian- Lagrangian FEM for simulation of thermo-mechanical forming processes. 57 J.P. PONTHOT: A method to reduce cost of mesh deformation in Eulerian- Lagrangian formulation. 65 G.C. HUANG, Y.C. LIU, O.C. ZIENKIEWICZ: Error control, mesh updating schemes and automatic adaptive remeshing for finite element analysis of unsteady extrusion processes. 75 I. PILLINGER, P. HARTLEY, C.E.N. STURGESS: Modelling of frictional tool surfaces in finite element metalforming analyses. 85 P. CHABRAND, Y. PINTO, M. RAOUS: Numerical modelling of friction for metal forming processes. 93 PART 3 : SHEET METAL FORMING D. BAUER: Modelling of deep drawing processes by model testing and dimensional analysis. 103 H. VEGTER: A finite difference model as a basis for developing new constitutive equations for the sheet forming process 111 E. DOEGE, M. SEYDEL: Influence of anisotropy in sheet metal forming 123 R.H. WAGONER, E. NAKAMACHI, Y. GERMAIN: Experience with explicit and implicit fmite element programs for sheet forming analysis. 131 P. PIERRE, J.P. CORDEBOIS: Influence of thickness and curvature on the formability of metal sheets. 139 G. PEROTTI, G. BELINGARDI, P.L. BELLARD!, M. GUIDA, A. MESSINA, F. ZINGARIELLO: Experimental analysis of an axisymmetric deep drawing. 147 viii K. BERGSTROM, S. KIVIVUORI, S. OSENIUS, A. KORHONEN: Computer aided design of a progressive die. 155 E. ONA lE, C. AGELET DE SARACIBAR: Finite element analysis of sheet metal forming problems using a viscous voided shell formulation. 163 1. BONET, R.D. WOOD, O.C. ZIENKIEWICZ: Time stepping schemes for the numerical analysis of superplastic forming of thin sheet 179 E. MASSONI, M. BELLET, 1.L. CHENOT: Thin sheet forming numerical analysis with a membrane approach. 187 PART 4: FORGING AND DRAWING G. SURDON, M. BAROUX: Comparison of simulation techniques and industrial data in forging applications. 199 1.P. CESCUTTI, E. WEY, J.L. CHENOT, P.E. MOSSER: Finite Element calculation of hot forging with continuous remeshing. 207 Y.T. 1M, S. KOBAYASHI: Finite element applications in forming billet and P/M preforms. 217 N. SOYRIS, J.P. CESCUTII, T. COUPEZ, G. BRACHOTTE, 1.L. CHENOT: Three dimensional finite element calculation of the forging of a connecting rod. 227 P. GROCHE, U. WEISS: numerical identification of forging parameters. 237 N.L. DUNG: Identification of defect locations in metal forming using a personal computer oriented finite element method. 245 A.N. BRAMLEY, F.H. OSMAN, M.I. GHOBRIAL: Modelling of metal forming processes 253 I.M. RfGAUT, D. LOCHEGNIES, J. OUDIN, J.C. GELIN, Y. RA VA LARD: Numerical analysis of cold drawing of tubes. 261 PART 5 : HOT AND COLD ROLLING C. BERTRAND-CORSINI, C. DAVID, A. BERN, P. MONTMITONNET, 1.L. CHENOT, P. BUESSLER, F. FAU: A 3D thermomechanical analysis of steady flows in hot forming processes. Application to hot flat rolling and hot shape rolling. 271 M. PIETRZYK, I.G. LENARD: Thermal-mechanical modelling for hot rolling: experimental substantiation. 281 F. FAU, P. BUESSLER, C.H. QUAN, C. BERTRAND: Simulation of hot rolling of steel by plasticine or waxes. Comparison between the flow of steel and the flow of plasticine by actual rolling and finite element models. 289 M. MALINEN, A. LANKILA, A.S. KORHONEN: Simulation of profile and flatness in the cold rolling of steel strip. 297 O. PAWELSKI, W. RASP, 1. RIECKMAN: Application ofa mathematical model for the cold rolling process on six-high mills. 305 MJ.M. BARATA MARQUES, P.A.F. MARTINS: Analysis of plane strain cold rolling using a flow function and the weighted residuals method. 313 ix 1.H. BEYNON, A.R.S. PONTER, C. M. SELLARS: Metallographic verification of computer modelling of hot rolling 321 P. HRYCAJ, D. LOCHEGNIES, 1. OUDIN, J.C. GELIN, Y. RA VA LARD: Finite element analysis of two-roll hot piercing. 329 K.BAINES,I.M. COLE,D.H. SANSOME: Modelling the mechanics of the longitudinal tube rolling process. 337 PART 1 MATERIAL BEHAVIOUR

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