Nonlinear Mechanics of Crystals
This book describes behavior of crystalline solids primarily via methods of modern continuum mechanics. Emphasis is given to geometrically nonlinear descriptions, i.e., finite deformations.Primary topics include anisotropic crystal elasticity, plasticity,
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SOLID MECHANICS AND ITS APPLICATIONS Volume 177
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
John D. Clayton
Nonlinear Mechanics of Crystals
John D. Clayton US Army Research Laboratory RDRL-WMP-B Bldg 390, Room 212 Aberdeen Proving Ground Maryland 21005-5066 USA [email protected]
ISSN 0925-0042 e-ISBN 978-94-007-0350-6 ISBN 978-94-007-0349-0 DOI 10.1007/978-94-007-0350-6 Springer Dordrecht Heidelberg London New York © 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
This book presents mathematical descriptions of behavior of crystalline solids following theoretical methods of modern continuum mechanics. Emphasis is placed on geometrically nonlinear descriptions, i.e., finite or large deformations. Topics include elasticity, plasticity, and ways of representing effects of distributions of defects or flaws in the solid on the material’s thermomechanical response. Defects may include crystal dislocations, point defects such as vacancies or interstitial atoms, rotational defects, deformation twins, voids or pores, and micro-cracks. Representative substances towards which modeling techniques forwarded here may be applied are single crystalline and polycrystalline metals and alloys, ceramics, minerals, and other geologic materials an
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