Generalized Continua as Models for Classical and Advanced Materials
This volume is devoted to an actual topic which is the focus world-wide of various research groups. It contains contributions describing the material behavior on different scales, new existence and uniqueness theorems, the formulation of constitutive equa
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Holm Altenbach Samuel Forest Editors
Generalized Continua as Models for Classical and Advanced Materials
Advanced Structured Materials Volume 42
Series editors Andreas Öchsner, Southport Queensland, Australia Lucas F.M. da Silva, Porto, Portugal Holm Altenbach, Magdeburg, Germany
More information about this series at http://www.springer.com/series/8611
Holm Altenbach Samuel Forest •
Editors
Generalized Continua as Models for Classical and Advanced Materials
123
Editors Holm Altenbach Otto‐von‐Guericke Universität Magdeburg Magdeburg Germany
ISSN 1869-8433 Advanced Structured Materials ISBN 978-3-319-31719-9 DOI 10.1007/978-3-319-31721-2
Samuel Forest Mines ParisTech Paris France
ISSN 1869-8441
(electronic)
ISBN 978-3-319-31721-2
(eBook)
Library of Congress Control Number: 2016935580 © Springer International Publishing Switzerland 2016 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. 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland
Preface
Generalized Continua have been in the focus of scientists from the end of the nineteenth century. A first summary was given in 1909 by the Cosserat brothers. After World War II, a true renaissance in this field occurred with the publication of Ericksen and Truesdell in 1958. Further developments were connected with the fundamental contributions of scientists from Germany, Russia, and France. During the past years the centennial of the Cosserat book was celebrated by two colloquia, both held in Paris in 2009. In addition, previous trilateral seminars Mechanics of Generalized Continua—from Micromechanical Basics to Engineering Applications (Wittenberg 2010, 2012) and the CISM Course Generalized Continua—from the Theory to the Engineering Applications (Udine 2011) discussed problems related to the theory and applications. During a new Advanced Seminar (Magdeburg, September 2015), attention was paid to the most recent rese
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