Plate Structures

Plate structures are used in almost every area of engineering, including aerospace and naval architecture, civil engineering, and electronics. These structures have diverse geometries and have to withstand a wide range of loading conditions. This book pro

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SOLID MECHANICS AND ITS APPLICATIONS Volume 178

Series Editors:

G.M.L. GLADWELL Department of Civil Engineering University of Waterloo Waterloo, Ontario, Canada N2L 3GI

Aims and Scope of the Series The fundamental questions arising in mechanics are: Why?, How?, and How much? The aim of this series is to provide lucid accounts written by authoritative researchers giving vision and insight in answering these questions on the subject of mechanics as it relates to solids. The scope of the series covers the entire spectrum of solid mechanics. Thus it includes the foundation of mechanics; variational formulations; computational mechanics; statics, kinematics and dynamics of rigid and elastic bodies: vibrations of solids and structures; dynamical systems and chaos; the theories of elasticity, plasticity and viscoelasticity; composite materials; rods, beams, shells and membranes; structural control and stability; soils, rocks and geomechanics; fracture; tribology; experimental mechanics; biomechanics and machine design. The median level of presentation is the first year graduate student. Some texts are monographs defining the current state of the field; others are accessible to final year undergraduates; but essentially the emphasis is on readability and clarity.

For further volumes: http://www.springer.com/series/6557

Victor Birman

Plate Structures

123

Victor Birman Engineering Education Center Missouri University of Science and Technology One University Blvd. St. Louis, Missouri 63121 USA [email protected]

ISSN 0925-0042 ISBN 978-94-007-1714-5 e-ISBN 978-94-007-1715-2 DOI 10.1007/978-94-007-1715-2 Springer Dordrecht Heidelberg London New York Library of Congress Control Number: 2011932669 © Springer Science+Business Media B.V. 2011 No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Cover design: SPi Publisher Services Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

Preface

Plate structures are typically thin structures, working under bending and/or in-plane loads and are extensively used in engineering applications, such as aerospace, mechanical and civil engineering and naval architecture. Plates can be manufactured from such isotropic materials as steel, aluminum or titanium alloys. Notably, the spectrum of material systems available to a designer of plate structures has significantly expanded in recent decades, so that composite and sandwich plates are now being widely used in modern engineering. Advanced plate structures, incorporating piezoelectric and shape memory elements as well as nanotube-reinforced materials are now gathering added attention from scientists and engineers. While in the majority of