Nonlinear Solid Mechanics
This volume provides insight into modelling and ultimate limit computation of complex structures, with their components represented by solid deformable bodies. The book examines practically all the important questions of current interests for nonlinear so
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SOLID MECHANICS AND ITS APPLICATIONS Volume 160
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 other titles published in this series, go to www.springer.com/series/6557
Adnan Ibrahimbegovic
Nonlinear Solid Mechanics Theoretical Formulations and Finite Element Solution Methods
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Adnan Ibrahimbegovic École Normale Superieure Lab. Mecanique et Technologie 61 avenue du President Wilson 94235 Cachan CX France [email protected]
This is a translation from the French book, Mécanique non linéaire des solides déformables : formulation théorique et résolution numérique par éléments finis, published by Hermes Science - Lavoisier Paris in 2006, which was nominated for the Roberval Award for University Textbooks in French.
ISSN 0925-0042 ISBN 978-90-481-2330-8 e-ISBN 978-90-481-2331-5 DOI 10.1007/978-90-481-2331-5 Springer Dordrecht Heidelberg London New York Library of Congress Control Number: 2009922123 c Springer Science+Business Media B.V. 2009 ° 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)
To my family
Foreword
It is with great pleasure that I accepted invitation of Adnan Ibrahimbegovic to write this preface, for this invitation gave me the privilege to be one of the first to read his book and allowed me to once again emphasize the importance for our discipline of solid mechanics, which is currently under considerable development, to produce the reference books suitable for students and
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