Mathematical Theory of Elasticity of Quasicrystals and Its Applications
This interdisciplinary work on condensed matter physics, the continuum mechanics of novel materials, and partial differential equations, discusses the mathematical theory of elasticity and hydrodynamics of quasicrystals, as well as its applications. By es
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Tian-You Fan
Mathematical Theory of Elasticity of Quasicrystals and Its Applications Second Edition
Springer Series in Materials Science Volume 246
Series editors Robert Hull, Charlottesville, USA Chennupati Jagadish, Canberra, Australia Yoshiyuki Kawazoe, Sendai, Japan Richard M. Osgood, New York, USA Jürgen Parisi, Oldenburg, Germany Tae-Yeon Seong, Seoul, Republic of Korea (South Korea) Shin-ichi Uchida, Tokyo, Japan Zhiming M. Wang, Chengdu, China
The Springer Series in Materials Science covers the complete spectrum of materials physics, including fundamental principles, physical properties, materials theory and design. Recognizing the increasing importance of materials science in future device technologies, the book titles in this series reflect the state-of-the-art in understanding and controlling the structure and properties of all important classes of materials.
More information about this series at http://www.springer.com/series/856
Tian-You Fan
Mathematical Theory of Elasticity of Quasicrystals and Its Applications Second Edition
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Tian-You Fan Beijing Institute of Technology Beijing China
ISSN 0933-033X ISSN 2196-2812 (electronic) Springer Series in Materials Science ISBN 978-981-10-1982-1 ISBN 978-981-10-1984-5 (eBook) DOI 10.1007/978-981-10-1984-5 Jointly published with Science Press, Beijing, China ISBN: 978-7-03-047429-2 Science Press, Beijing, China Library of Congress Control Number: 2016945944 © Science Press and Springer Science+Business Media Singapore 2011, 2016 This work is subject to copyright. All rights are reserved by the Publishers, 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 publishers, 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 publishers 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 Science+Business Media Singapore Pte Ltd.
Preface
The first edition of this book was published by Scienec Press, Beijing/ Springer-Verlag, Heidelberg, in 2010 mainly concerning a mathematical theory of elasticity of solid quasicrystals, in which the Landau symmetry breaking and elementary excitation principle plays a
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