A Statistical Mechanical Formulation of Continuum Fields and Balance Relations for Granular and Other Materials with Int
In the last fourty years or so, it has become increasingly apparent that the macroscopic behaviour of many materials may under various circumstances be significantly influenced by their fundamentally “heterogeneous” or “structured” nature. A particular cl
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Series Editors: The Rectors of CISM Sandor Kaliszky - Budapest Mahir Sayir - Zurich Wilhelm Schneider - Wien The Secretary General of CISM Giovanni Bianchi - Milan Executil'e Editor Carlo Tasso - Udine
The series presents lecture notes, monographs, edited works and proceedings in the field of Mechanics, Engineering, Computer Science and Applied Mathematics. Purpose of the series is to make known in the international scientific and technical community results obtained in some of the activities organized by CISM, the International Centre for Mechanical Sciences.
INTERNATIONAL CENTRE FOR MECHANICAL SCIENCES COURSES AND LECTURES - No. 400
KINETIC AND CONTINUUM THEORIES OF GRANULAR AND POROUS MEDIA
EDITED BY KOLUMBAN HUTTER TECHNICAL UNIVERSITY DARMSTADT AND KRZYSZTOF WILMANSKI
WEIERSTRASS INSTITUTE FOR APPLIED ANALYSIS AND STOCHASTICS BERLIN
~ Springer-Verlag Wien GmbH
This volume contains 69 illustrations
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© 1999 by Springer-Verlag Wien Original1y pub1ished by Springer-Verlag Wien New York in 1999 SPIN 10724711
In order to make this volume available as economically and as rapid1y as possible the authors' typescripts have been reproduced in their original forms. This method unfortunately has its typographical limitations but it is hoped that they in no way distract the reader.
ISBN 978-3-211-83146-5 DOI 10.1007/978-3-7091-2494-9
ISBN 978-3-7091-2494-9 (eBook)
PREFACE This book is an outgrowth of a course tought at the Internationai Centre for Mechanical Sciences in Udine in July 1998 with the title Kinetic and Continuum Thermodynamical Approaches to Granular and Porous Media by the authors of the individuai chapters of this book. Porous and granular materials react to external loadings in a much richer fashion than other materials do, because their macroscopic, i. e., large scale, response is more directly influenced by the processes that take place on the microscale level. For instance, order and disorder of the particle size distribution in an avalanching mass of sand is simply the manifestation of different significant processes on the microscopic level. Directly connected with this micro-macro interplay there are experimental difficulties caused by the smallness of the measuring devices and by the need to couple the processes on the two levels. Similar challenges prevail on the theoretical side, as the microstructural effects need to be accounted for in constitutive models of the macroscopic level. Various techniques are used to address these questions: • Experimentation with porous and granular materials • Theoretical analysis of the transition from the microscopic to the macroscopic description by means of averaging techniques • Embedding the derivation of models within contexts of thermodynamics and statistical mechanic
