Elasticity and Plasticity of Large Deformations An Introduction
Nonlinear Continuum Mechanics is a rapidly growing field of research. Since the last edition of this book, many important results in this field have been published. This new edition refers to the most important results. The part on hyperelast
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Albrecht Bertram
Elasticity and Plasticity of Large Deformations An Introduction Third Edition
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Prof. Dr.-Ing. Albrecht Bertram Otto-von-Guericke Universität Magdeburg Inst. f. Mechanik Universitätsplatz 2 39106 Magdeburg Sachsen-Anhalt Germany [email protected]
ISBN 978-3-642-24614-2 e-ISBN 978-3-642-24615-9 DOI 10.1007/978-3-642-24615-9 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2011939615 c Springer-Verlag Berlin Heidelberg 2005, 2008, 2012 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, 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. Cover design: WMXDesign GmbH, Berlin Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
PREFACE
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Preface to the First Edition This book is based on the lecture notes of courses given by the author over the last decade at the Otto-von-Guericke University of Magdeburg and the Technical University of Berlin. Since the author is concerned with researching material theory and, in particular, elasto-plasticity, these courses were intended to bring the students close to the frontiers of today's knowledge in this particular field, an opportunity now offered also to the reader. The reader should be familiar with vectors and matrices, and with the basics of calculus and analysis. Concerning mechanics, the book starts right from the beginning without assuming much knowledge of the subject. Hence, the text should be generally comprehensible to all engineers, physicists, mathematicians, and others. At the beginning of each new section, a brief Comment on the Literature contains recommendations for further reading. Throughout the text we quote only the important contributions to the subject matter. We are far from being complete or exhaustive in our references, and we apologise to any colleagues not mentioned in spite of their important contributions to the particular items. It is intended to indicate any corrections to this text on our website http://www.uni-magdeburg.de/ifme/l-festigkeit/elastoplasti.html along with remarks from the readers, who are encouraged to send their frank criticisms, comments and suggestions to [email protected].
All the author’s royalties from this issue will be donated to charitable organisations like Terres
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