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Mathematical Modeling in Mechanics of Granular Materials

The new monograph ‘‘Mathematical Modeling in Mechanics of Granular Mate- rials’’ written by Oxana & Vladimir Sadovskii is based on a previous Russian version published in 2008. The Russian version was significantly revised and extended. The References were updated with respect to the readers not being familiar with the Russian language. Instead of eight chapters of the Russian ori- ginal version there are now ten chapters—a new chapter devoted to continua with independent rotational degrees of freedom is added | Advanced Structured Materials Volume 21 Series Editors Andreas Ochsner Lucas F. M. da Silva Holm Altenbach For further volumes http www.springer.com series 8611 Oxana Sadovskaya Vladimir Sadovskii Organized by Holm Altenbach Mathematical Modeling in Mechanics of Granular Materials Springer Oxana Sadovskaya ICM SB RAS Akademgorodok 50 44 Krasnoyarsk Russia 660036 Holm Altenbach Magdeburg Germany Vladimir Sadovskii ICM SB RAS Akademgorodok 50 44 Krasnoyarsk Russia 660036 ISSN 1869-8433 ISSN 1869-8441 electronic ISBN 978-3-642-29052-7 ISBN 978-3-642-29053-4 eBook DOI 10.1007 978-3-642-29053-4 Springer Heidelberg New York Dordrecht London Library of Congress Control Number 2012938145 Springer-Verlag Berlin Heidelberg 2012 This work is subject to copyright. All rights are reserved by the Publisher whether the whole or part of the material is concerned specifically the rights of translation reprinting reuse of illustrations recitation broadcasting reproduction on microfilms or in any other physical way and transmission or information storage and retrieval electronic adaptation computer software or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher s location in its current version and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names registered names trademarks service marks etc. in this publication does not imply even in the absence of a specific statement that such names .