IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials
Today, multi-functional materials such as piezoelectric/ferroelectric ceramics, magneto-strictive and shape memory alloys are gaining increasing applications as sensors, actuators or smart composite materials systems for emerging high tech areas. The stab
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		    IUTAM Bookseries
 
 Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials Proceedings of the IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials, held in Freiberg, Germany, September 1-4, 2009
 
 123
 
 IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials
 
 IUTAM BOOKSERIES Volume 24 Series Editors G.M.L. Gladwell, University of Waterloo, Waterloo, Ontario, Canada R. Moreau, INPG, Grenoble, France Editorial Board J. Engelbrecht, Institute of Cybernetics, Tallinn, Estonia L.B. Freund, Brown University, Providence, USA A. Kluwick, Technische Universitt, Vienna, Austria H.K. Moffatt, University of Cambridge, Cambridge, UK N. Olhoff, Aalborg University, Aalborg, Denmark K. Tsutomu, IIDS, Tokyo, Japan D. van Campen, Technical University Eindhoven, Eindhoven, The Netherlands Z. Zheng, Chinese Academy of Sciences, Beijing, China
 
 Aims and Scope of the Series The IUTAM Bookseries publishes the proceedings of IUTAM symposia under the auspices of the IUTAM Board.
 
 For other titles published in this series, go to http:www.springer.com/series/7695
 
 Meinhard Kuna  Andreas Ricoeur Editors
 
 IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials Proceedings of the IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials, held in Freiberg, Germany, September 1–4, 2009
 
 123
 
 Editors Meinhard Kuna TU Bergakademie Freiberg Inst. Mechanik und Fluiddynamik Lampadiusstr. 4 09596 Freiberg Germany [email protected]
 
 Andreas Ricoeur Universit¨at Kassel Inst. Mechanik M¨onchebergstr. 7 34109 Kassel Germany [email protected]
 
 ISSN 1875-3507 e-ISSN 1875-3493 ISBN 978-90-481-9886-3 e-ISBN 978-90-481-9887-0 DOI 10.1007/978-90-481-9887-0 Springer Dordrecht Heidelberg London New York Library of Congress Control Number: 2010938713 c Springer Science+Business Media B.V. 2011  No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Cover design: SPi Publisher Services Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
 
 Preface
 
 Multi-functional materials as piezoelectric/ferroelectric ceramics, magnetostrictive and shape memory alloys are gaining increasing applications as sensors, actuators or smart composite materials systems for promising high tech areas. One primary problem is, however, that these functional materials suffer from various mechanical and/or electromagnetical degradation mechanisms as fatigue, damage and fracture. As a consequence of field coupling effects, fabrication processes and service loads, smart materials systems are exposed to high mech		
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