The Physics Of Granular Media

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Despite extensive empirical experience, there is both a scientific challenge and a technological need to develop an understanding of the mechanisms underlying the flow of grains. This new reference provides quick access to the current level of knowledge, containing review articles covering recent developments in the field of granular media from the viewpoints of applied, experimental, and theoretical physics. In short, a must-have for advanced researchers and specialists as well as a useful starting point for anyone entering this field. The authors represent different directions of research in the field, with their contributions covering: - Static properties - Granular gases - Dense granular flow - Hydrodynamic interactions - Charged and magnetic granular matter - Computational aspects

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Titelei_Hinrichsen 17.09.2004 13:45 Uhr Seite 1 The Physics of Granular Media Edited by Haye Hinrichsen and Dietrich E. Wolf The Physics of Granular Media. Edited by Haye Hinrichsen, Dietrich E. Wolf c 2004 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim Copyright  ISBN: 3-527-40373-6 Titelei_Hinrichsen 17.09.2004 13:45 Uhr Seite 3 The Physics of Granular Media Edited by Haye Hinrichsen and Dietrich E. Wolf Titelei_Hinrichsen 17.09.2004 13:45 Uhr Seite 4 Editors Haye Hinrichsen Universität Würzburg, Germany e-mail: [email protected] Dietrich E. Wolf Gerhard Mercator Universität Duisburg, Germany e-mail: [email protected] All books published by Wiley-VCH are carefully produced. Nevertheless, authors, editors, and publisher do not warrant the information contained in these books, including this book, to be free of errors. Readers are advised to keep in mind that statements, data, illustrations, procedural details or other items may inadvertently be inaccurate. Library of Congress Card No.: Applied for British Library Cataloging-in-Publication Data: A catalogue record for this book is available from the British Library Cover Picture: A. Kudrolli: Magnetic, granular particles arranged in chains Bibliographic information published by Die Deutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available on the internet at . © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim All rights reserved (including those of translation into other languages). No part of this book may be reproduced in any form – nor transmitted or translated into machine language without written permission from the publishers. Registered names, trademarks, etc. used in this book, even when not specifically marked as such, are not to be considered unprotected by law. Printed in the Federal Republic of Germany Printed on acid-free paper Composition Uwe Krieg, Berlin Printing Strauss GmbH, Mörlenbach Bookbinding Litges & Dopf Buchbinderei GmbH, Heppenheim ISBN 3-527-40373-6 Contents Preface XI List of Contributors I XV Static Properties 1 Stress in Dense Granular Materials (I. Goldhirsch and C. Goldenberg) 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . 1.2 Continuum Mechanics: A Brief Review . . . . . . 1.3 Constitutive Relations for Dense Granular Materials 1.3.1 Engineering Approaches . . . . . . . . . . 1.3.2 Recent Approaches . . . . . . . . . . . . . 1.3.3 Experiments and Possible Reconciliatio
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