An Introduction to the Theory of Piezoelectricity

This textbook introduces theoretical piezoelectricity. The second edition updates a classical, seminal reference on a fundamental topic that is addressed in every materials science curriculum. It presents a concise treatment of the basic theoretical aspec

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Jiashi Yang

An Introduction to the Theory of Piezoelectricity Second Edition

Advances in Mechanics and Mathematics Volume 9

Series Editors David Gao, Federation University Australia Tudor Ratiu, Shanghai Jiao Tong University Advisory Board Antony Bloch, University of Michigan John Gough, Aberystwyth University Darryl D. Holm, Imperial College London Peter Olver, University of Minnesota Juan-Pablo Ortega, University of St. Gallen Genevieve Raugel, CNRS and University Paris-Sud Jan Philip Solovej, University of Copenhagen Michael Zgurovsky, Igor Sikorsky Kyiv Polytechnic Institute Jun Zhang, University of Michigan Enrique Zuazua, Universidad Auto´noma de Madrid and DeustoTech Kenneth C. Land, Duke University

More information about this series at http://www.springer.com/series/5613

Jiashi Yang

An Introduction to the Theory of Piezoelectricity Second Edition

Jiashi Yang Department of Mechanical and Materials Engineering University of Nebraska-Lincoln Lincoln, NE, USA

ISSN 1571-8689 ISSN 1876-9896 (electronic) Advances in Mechanics and Mathematics ISBN 978-3-030-03136-7 ISBN 978-3-030-03137-4 (eBook) https://doi.org/10.1007/978-3-030-03137-4 Library of Congress Control Number: 2018960763 © Springer Nature Switzerland AG 2005, 2018 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. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

Preface

The previous edition of this book, published in 2005, was based on the lecture notes for a graduate course offered at the former Department of Engineering Mechanics of the University of Nebraska–Lincoln since 1998. The course was intended to provide graduate students performing research in electromechanical materials and devices with the basic theoretical aspects of the continuum modeling of electroelastic i