Anisotropic Elastic Plates
Anisotropic Elastic Plates find wide applications as structural elements in modern technology. The plates are considered to be subjected to not only inplane loads but also transverse loads. Plane problems, plate bending problems as well as stretching-bend
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Chyanbin Hwu
Anisotropic Elastic Plates
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Chyanbin Hwu Department of Aeronautics and Astronautics National Cheng Kung University No. 1 University Road Tainan 701 Taiwan R.O.C [email protected]
ISBN 978-1-4419-5914-0 e-ISBN 978-1-4419-5915-7 DOI 10.1007/978-1-4419-5915-7 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2010922035 © Springer Science+Business Media, LLC 2010 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
Due to the nature of anisotropy, composite materials are usually modeled as anisotropic elastic solids. Therefore, the researchers and engineers interested in composite materials are usually advised to get acquainted with anisotropic elasticity. However, only three books related to anisotropic elasticity have been published in the literature. Two of them were written in Russian by Professor S.G. Lekhnitskii and were originally published in 1947 and 1950. Their English translations were published later in 1963 and 1968. These two books are the classical books of anisotropic elasticity and have great contributions for the follow-up research. In the present book, I arrange one chapter named Lekhnitskii formalism introducing the classical method presented in these two books. The third book about anisotropic elasticity was written by Professor T.C.T. Ting and was published in 1996. A great contribution of Ting’s book is the presentation of another systematic approach – Stroh formalism. Due to its importance, the Stroh formalism together with its related discussions introduced in Ting’s book is summarized in Chapter 3 of this book. Owing to the publication of Lekhnitskii’s and Ting’s books, during the last half century numerous new advances have been achieved. Therefore, I think it is a proper time to update this topic by publishing a new book entitled Anisotropic Elastic Plates. As structural elements, anisotropic elastic plates find wide applications in modern technology. The plates here are considered to be subjected to not only in-plane loads but also transverse loads. In other words, both plane problem and plate bending problem as well as stretching–bending coupling problem are all treated in this book. In addition to the introduction of the theory of anisotropic elasticity, several
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