STUDIES IN APPLIED MECHANICS 43 Materials Processing Defects STUDIES IN APPLIED MECHANICS Methods of Functional Analysis for Application in Solid Mechanics (Mason) . 10. Boundary Integral Equation Methods in Eigenvalue Problems of Elastodynamics and Thin Plates (Kitahara) 11. Mechanics of Material Interfaces (Selvadurai and Voyiadjis, Editors) 12. Local Effects in the Analysis of Structures (Ladeveze, Editor) 13. Ordinary Differential Equations (Kurzweil) 14. Random Vibration- Status and Recent Developments. The Stephen Harry Crandall Festschrift (Elishakoff and Lyon, Editors) 15. Computational Methods for Predicting Material Processing Defects (Predeleanu, Editor) 16. Developments in Engineering Mechanics (Selvadurai, Editor) 17. The Mechanics of Vibrations of Cylindrical Shells (MarkuP) 18. Theory of Plasticity and Limit Design of Plates (Sobotka) 19. Buckling of Structures-Theory and Experiment. The Josef Singer Anniversary Volume (Elishakoff, Babcock, Arbocz and Libai, Editors) 20. Micromechanics of Granular Materials (Satake and Jenkins, Editors) 21. Plasticity. Theory and Engineering Applications (Kaliszky) 22. Stability in the Dynamics of Metal Cutting (Chiriacescu) 23. Stress Analysis by Boundary Element Methods (Bala~, SIcSdeka nd Sladek) 24. Advances in the Theory of Plates and Shells (Voyiadjis and Karamanlidis, Editors) 25. Convex Models of Uncertainty in Applied Mechanics (Ben-Haim and Elishakoff) 26. Strength of Structural Elements (Zyczkowski, Editor) 27. Mechanics (Skalmierski) 28. Foundations of Mechanics (Zorski, Editor) 29. Mechanics of Composite Materials- A Unified Micromechanical Approach (Aboudi) 30. Vibrations and Waves (Kaliski) 31. Advances in Micromechanics of Granular Materials (Shen, Satake, Mehrabadi, Chang and Campbell, Editors) 32. New Advances in Computational Structural Mechanics (Ladeveze and Zienkiewicz, Editors) 33. Numerical Methods for Problems in Infinite Domains (Givoli) 34. Damage in Composite Materials (Voyiadjis, Editor) 35. Mechanics of Materials and Structures (Voyiadjis, Bank and Jacobs, Editors) 36. Advanced Theories of Hypoid Gears (Wang and Ghosh) 37A. Constitutive Equations for Engineering Materials Volume 1: Elasticity and Modeling (Chen and Saleeb) 37B. Constitutive Equations for Engineering Materials Volume 2: Plasticity and Modeling (Chen) 38. Problems of Technological Plasticity (Druyanov and Nepershin) 39. Probabilistic and Convex Modelling of Acoustically Excited Structures (Elishakoff, Lin and Zhu) 40. Stability of Structures by Finite Element Methods (Waszczyszyn, Cicho~ and Radwahska) 41. Inelasticity and Micromechanics of Metal Matrix Composites (Voyiadjis and Ju, Editors) 42. Mechanics of Geomaterial Interfaces (Selvadurai and Boulon, Editors) 43. Materials Processing Defects (Ghosh and Predeleanu, Editors) General Advisory Editor to this Series: Professor Isaac Elishakoff, Center for Applied Stochastics Research, Department of Mechanical Engineering, Florida Atlantic University, Boca Raton, FL, U.S.A. STUDIES IN APPLIED MECHANICS 43 M a t e r i a l s P r o c e s s i n g D e f e c t s Edited by S.K. Ghosh GKN International College of Engineering Lohmar, Germany M. Predeleanu LMT University of Paris V/ Cachan, France L~~ l 1995 ELSEVIER Amsterdam- Lausanne- New York- Oxford- Shannon-Tokyo ELSEVIER SCIENCE B.V. Sara Burgerhartstraat 25 P.O. Box 211, 1000 AE Amsterdam, The Netherlands pages 17-58 reprinted from Journal of Materials Processing Technology, Vol. 32, nos. 1-2 (1992) ISBN 0-444-81706-9 (cid:14)91 995 Elsevier Science B.V. All rights reserved. No part ofthis publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior written permission of the publisher, Elsevier Science B.V., Copyright & Permissions Department, P.O. Box 521, 1000 AM Amsterdam, The Netherlands. Special regulations for readers in the U.S.A. - This publication has been registered with the Copyright Clearance Center Inc. (CCC), Salem, Massachusetts. Information can be obtained from the CCC about conditions under which photocopies of parts of this publication may be made in the U.S.A. All other copyright questions, including photocopying outside of the U.S.A., should be referred to the copyright owner, Elsevier Science BV, unless otherwise specified. No responsibility is assumed bythe publisher for any injury and/or damage to persons or property as a matter of products liability, negligence or otherwise, or from any use or operation of any methods, products, instructions or ideas contained in the material herein. pp. 373-386: Copyright not transferred. This book is printed on acid-free paper. Printed in The Netherlands Preface The Second International Conference on Materials Processing Defects (Proceedings of which was published as a special issue of the Journal of Materials Processing Technology, Vol. 32, nos. 1-2, 1992, 530 pages) was held GKN Automotive AG during 1 -3 July 1992. We believe that this technological field of defects, and more appropriately, avoidance of them, is very current in perhaps all sectors of the manufacturing industry. This is particularly important to reduce/minimize waste everywhere to address lean production procedures. The recent advances in finite plasticity and visioplasticity, damage modelling, instability theories, fracture modelling, computer numerical techniques and process simulation etc. offer new approaches and tools for defect prediction, analyses and guidelines for designing components to be manufactured by traditional and emerging process technologies. The present volume includes contributions from well known researchers and experts in this field, most of whom were also involved with the aforementioned Conference. The main aim of the contributions has been to extend and generalize somewhat their past contribution in the form a self-contained chapter on individual title topics such that a volume would be possible. We do hope that it matches to a large extent with the stated objectives considering the vast field of research into defects in all kinds of materials processing and associated topics: - Micro- and Macro-scale observation of defects Localization and instability analysis - Damage modelling and fracture criteria - - F ormability characterization - Defect prediction methods - Design considerations to avoid defects - Practical process/material considerations. We are very indebted to the authors and referees of this volume for their generous and very kind support. We would also thank Mrs. Heike Erlenkamp for all her help towards this volume. Finally, the team at Elsevier, Amsterdam: Mrs. Mary McAdam, Ms. Wilma van Wezenbeek, Dr. Bas van der Hoek and Dr. van der Hoop deserve special thanks for their patience and care for professional preparation and presentation of the book. S K Ghosh M Predeleanu Lohmar, Germany Paris, France 3 November 1994 vii Dedicated to Professor Frank W Travis DSc Professor Vellore C Venkatesh DSc on the occasion of their 60th birthdays The proceedings of the Conference, based on which this present volume has been initiated, was dedicated in 1992 to professor William Johnson FRS FEng- This book on Materials processing Defects is dedicated to my earlier teachers, professors Travis and Venkatesh. I do this with great pleasure on behalf of all their students, research assistants, research fellows, post doctoral researchers, colleagues and all others who have had contact with them throughout their professional careers. It is very fitting indeed that this dedication appears in a volume published by Elsevier since both of them have been contributing through this publisher to the scientific community of materials processing worldwide for many years. My dedication to professors Travis and Venkatesh will be incomplete without reference to their wives, Mrs. Jean Travis and Mrs. Gita Venkatesh concerning their generous support, help and kind hospitality always and everywhere, and especially, that extended to those, so-called 'foreign students/researchers abroad'. It gives me great pleasure on all your behalf in wishing them continued good health and happiness. I~rofeee)or Swaclhin Kumar Ghoe)h Dirsc~0r GKN In~c~rnational College of: Engineering Lohmar, Germany This Page Intentionally Left Blank CONTENTS Preface Dedication oo VII Some Comments on the Structure of Technology of Plasticity in R&D and Production K. Lange James Nasmyth (1808-1890): The Steam Hammer and the Mechanics of Vee-anvil Forging W. Johnson 17 Modeling Dynamic Strain ~ization in Inelastic Solids M. Predeleanu 59 Void Growth under Triaxial Stress State and its Influence on Sheet Metal Forming Limits R. C. Chaturvedi 75 The Prediction of Necking and Wrinkles in Deep Drawing Processes Using the FEM E. Doege, T. El-Dsoki and D. Seibert 91 Constitutive Models for Microvoid Nucleation, Growth and Coalescence in Elastoplasticity, Finite Element Reference Modelling J. Oudin, B. Bennani and P. Picart 107 Theoretical and Numerical Modelling of Isotropic or Anisotropic Ductile Damage in Metal Forming Processes J. C. Gelin 123 Research on Forging Processes for Production a + /3 Titanium Alloy TCll Disks Sencan Chen, Yu Xinlu, Zongshi Hu and Shaolin Wang 141 Modelling of Fracture Initiation in Metalforming Processes Y.Y. Zhu, S. Cescotto and A.M. Habraken 155 Formability Determination for Production Control J.A. Schey 171 Design of Experiments, a Statistical Method to Analyse Sheet Metal Forming Defects Effectively D. Bauer and R. Leidolf 187