Modeling of Thermo-Electro-Mechanical Manufacturing Processes Applic

Modeling of Thermo-Electro-Mechanical Manufacturing Processes with Applications in Metal Forming and Resistance Welding provides readers with a basic understanding of the fundamental ingredients in plasticity, heat transfer and electricity that are necess

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Series Editor J. Paulo Davim

For further volumes: http://www.springer.com/series/10623

C. V. Nielsen · W. Zhang · L. M. Alves N. Bay · P. A. F. Martins

Modeling of Thermo-Electro-Mechanical Manufacturing Processes Applications in Metal Forming and Resistance Welding

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C. V. Nielsen Department of Mechanical Engineering Technical University of Denmark Kongens Lyngby Denmark

N. Bay Department of Mechanical Engineering Technical University of Denmark Kongens Lyngby Denmark

W. Zhang SWANTEC Software and Engineering ApS Kongens Lyngby Denmark

P. A. F. Martins IDMEC, Instituto Superior Técnico Technical University of Lisbon Lisbon Portugal

L. M. Alves IDMEC, Instituto Superior Técnico Technical University of Lisbon Lisbon Portugal

ISBN 978-1-4471-4642-1 DOI 10.1007/978-1-4471-4643-8

ISBN 978-1-4471-4643-8  (eBook)

Springer London Heidelberg New York Dordrecht Library of Congress Control Number: 2012948188 © The Author(s) 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

Contents

1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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2 Finite Element Formulations. . . . . . . . . . .