Non-Linear Mechanics of Materials

There currently exists a significant gap between materials models used by engineers and the ones available in research laboratories. Knowledge transfer must be facilitated by software development and databases, but also by information and teaching. From t

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SOLID MECHANICS AND ITS APPLICATIONS

Volume 167 Series Editor:

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 other titles published in this series, go to www.springer.com/series/6557

Jacques Besson  Georges Cailletaud  Jean-Louis Chaboche  Samuel Forest

Non-Linear Mechanics of Materials In cooperation with Marc Blétry

Jacques Besson Centre des Matériaux CNRS UMR 7633 MINES ParisTech BP 87, 91003 Evry Cedex France [email protected]

Samuel Forest Centre des Matériaux CNRS UMR 7633 MINES ParisTech BP 87, 91003 Evry Cedex France [email protected]

Georges Cailletaud Centre des Matériaux CNRS UMR 7633 MINES ParisTech BP 87, 91003 Evry Cedex France [email protected]

Marc Blétry Institut de Chimie et des Matériaux Paris-Est CNRS UMR 7182 Université Paris XII 2-8, rue H. Dunant 94320 Thiais France [email protected]

Jean-Louis Chaboche Dépt. Matériaux et Structures Métallique Office National d’Études et de Recherches Aérospatiales (ONERA) 29 avenue de la Division Leclerc 92322 Chatillon CX France [email protected]

ISBN 978-90-481-3355-0 e-ISBN 978-90-481-3356-7 DOI 10.1007/978-90-481-3356-7 Springer Dordrecht Heidelberg London New York Library of Congress Control Number: 2009940116 c Springer Science+Business Media B.V. 2010  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. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

Foreword

Invited by Jacques Besson, Georges Cailletaud, Jean-Louis Ch