Mathematical Methods for Elastic Plates
Mathematical models of deformation of elastic plates are used by applied mathematicians and engineers in connection with a wide range of practical applications, from microchip production to the construction of skyscrapers and aircraft. This book employs t
- PDF / 2,268,126 Bytes
- 213 Pages / 453.543 x 683.15 pts Page_size
- 14 Downloads / 211 Views
Christian Constanda
Mathematical Methods for Elastic Plates
Springer Monographs in Mathematics
For further volumes: http://www.springer.com/series/3733
Christian Constanda
Mathematical Methods for Elastic Plates
123
Christian Constanda The Charles W. Oliphant Professor of Mathematical Sciences Department of Mathematics The University of Tulsa Tulsa, OK USA
ISSN 1439-7382 ISSN 2196-9922 (electronic) ISBN 978-1-4471-6433-3 ISBN 978-1-4471-6434-0 (eBook) DOI 10.1007/978-1-4471-6434-0 Springer London Heidelberg New York Dordrecht Library of Congress Control Number: 2014939394 Mathematics Subject Classification: 31A10, 45F15, 74G10, 74G25, 74K20 Springer-Verlag London 2014 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
For Lia
Preface
Approximate theories of bending of thin elastic plates have been around since the middle of the nineteenth century. The reason for their existence is twofold: on the one hand, they reduce the full three-dimensional model to a simpler one in only two independent variables; on the other hand, they give prominence to the main characteristics of bending, neglecting other effects that are of lesser interest in the study of this physical process. In spite of their good agreement with experiments and their wide use by engineers
Data Loading...
