Cover Page i MODELLING OF COHESIVEFRICTIONAL MATERIALS Page ii This page intentionally left blank. Page iii PROCEEDINGS OF 2ND INTERNATIONAL SYMPOSIUM ON CONTINUOUS AND DISCONTINUOUS MODELLING OF COHESIVEFRICTIONAL MATERIALS—CDM 2004, STUTTGART, 27–28 SEPTEMBER 2004 Modelling of CohesiveFrictional Materials Edited by P.A.Vermeer Institute of Geotechnical Engineering, University of Stuttgart, Germany W.Ehlers Institute of Applied Mechanics (Civil Engineering), University of Stuttgart, Germany H.J.Herrmann Institute for Computational Physics, University of Stuttgart, Germany E.Ramm Institute of Structural Mechanics, University of Stuttgart, Germany A.A.BALKEMA PUBLISHERS LEIDEN/LONDON/NEW YORK/PHILADELPHIA/SINGAPORE Page iv Copyright © 2004 Taylor & Francis Group plc, London, UK All rights reserved. No part of this publication or the information contained herein may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, by photocopying, recording or otherwise, without written prior permission from the publisher. Although all care is taken to ensure the integrity and quality of this publication and the information herein, no responsibility is assumed by the publishers nor the authors for any damage to property or persons as a result of operation or use of this publication and/or the information contained herein. Published by: A.A.Balkema Publishers, Leiden, The Netherlands, a member of Taylor & Francis Group plc www.balkema.nl, http://balkema.tandf.co.uk and www.tandf.co.uk This edition published in the Taylor & Francis eLibrary, 2006. To purchase your own copy of this or any of Taylor & Francis or Routledge’s collection of thousands of eBooks please go to www.eBookstore.tandf.co.uk. ISBN 0203023633 Master ebook ISBN ISBN 04 1536 023 4 (Print Edition) Page v Modelling of CohesiveFrictional Materials—Vermeer, Ehlers, Herrmann & Ramm (eds), © 2004 Taylor & Francis Group, London, ISBN 04 1536 023 4 Table of Contents Preface IX Granular materials & mechanics Different rolling measures for granular assemblies 3 K.Bagi & M.R.Kuhn Internal state in granular materials 13 B.Cambou, Ph.Dubujet & C.Nouguier On maximumentropy estimates for granular statics 27 J.D.Goddard Modeling microstructured materials—a comparison of gradient and micromorphic continua 35 N.Kirchner & P.Steinmann Discrete modeling Micromechanical aspects of soil plasticity: an investigation using a discrete model of polygonal particles 45 F.AlonsoMarroquín, H.J.Herrmann & I.Vardoulakis Discrete models for geomaterials 69 G.A.D’Addetta & E.Ramm The role of fluctuations in the mechanics of granular materials 93 J.T.Jenkins Effect of ITZpercolation on tensile fracture properties of 3phase particle composites 101 J.G.M.van Mier & G.Lilliu Coupling between progressive damage and permeability of concrete: discrete modelling and experimental analyses 109 G.PijaudierCabot, G.Chatzigeorgiou, A.Khelidj & V.Picandet Micro mechanics of the incremental response of virgin and preloaded granular soils to deviatoric stress probing 121 G.Viggiani, F.Calvetti & C.Tamagnini Discontinuum vs. continuum Modelling the subsidence induced by degradation of abandoned mines 137 F.Calvetti, R.Nova & R.Castellanza Page vi From particle ensembles to Cosserat continua: definition of the macroscopic variables 149 W.Ehlers & S.Wenz Twoscale continuousdiscontinuous modelling of damaging materials 161 M.G.D.Geers, T.J.Massart, V.G.Kouznetsova, R.H.J.Peerlings & M.Brekelmans Identification of macroscopic material properties of multicomposed materials from finer scales of observation 173 R.Lackner & H.A.Mang Micromacro models for anisotropic granular media 195 S.Luding Continous modelling Hydro mechanical numerical modelling of geotechnical problems using local second gradient models 209 R.Chambon & F.Collin Chemomechanical modelling of soil or rock degradation 221 R.Charlier & N.Boukpeti Failure and flow rule of granular materials as incrementally nonlinear media 233 G.Servant & F.Darve Transient thermal 3D FE analysis of concrete structures exposed to fire 249 J.Ožbolt, G.Periškić, R.Eligehausen & I.Kožar Indentation method for damage diagnosis of natural building stones 263 E.Papamichos, S.A.Papanicolopulos & I.Larsen Numerical modelling of fast slope movements 277 M.Pastor, J.A.F.Merodo, M.Quecedo, E.Gonzalez, M.I.Herreros, P.Mira & R.Tamagnini Gradient elasticity with diffusion, heat conduction and chemical reactions 295 G.Rambert & E.C.Aifantis Theory and numerics of erosion processes in fluidsaturated porous media 307 H.Steeb, S.Diebels & I.Vardoulakis Regularization Nonlocal plastic models for cohesivefrictional materials 323 M.Jirdśek & P.Grassl Discontinuous representation of brittle failure 339 G.Meschke & P.Dumstorff Continuousdiscontinuous modelling of modeI and modeII failure 353 A.Simone & L.J.Sluys On the performance of a nonlocal softening model 369 P.A.Vermeer, U.Vogler & B.Li A strong discontinuity method without locking 381 P.A.Vermeer, U.Vogler, E.G.Septanika & O.Stelzer Page vii Localization & fracture Localized failure in saturated porous media 399 J.J.M.Desrues & F.H.J.S.Collin Hypoplastic shear localisation in psammoids and peloids 411 G.Gudehus Sizedependent fracture energy correlated with the crack tip stress fields in concretelike materials 423 H.Yuan & F.H.Wittmann Pinning and propagation of interface cracks in slope failure: 1D and 2D considerations 435 M.Zaiser, B.Fyffe, P.Moretti, A.Konstantinidis & E.C.Aifantis Author index 447 Page viii This page intentionally left blank. Page ix Modelling of CohesiveFrictional Materials—Vermeer, Ehlers, Herrmann & Ramm (eds), © 2004 Taylor & Francis Group, London, ISBN 04 1536 023 4 Preface A knowledge of the mechanical behaviour of both naturally occurring materials such as soils and rocks, and artificial materials, such as concrete and industrial granular matter, is of fundamental importance to their proper use in engineering and scientific applications. The research activities in this broad area of applied mechanics have attracted scientists and engineers with a variety of backgrounds ranging from physics to civil engineering. For simulating the mechanical behaviour of the cohesive granular materials considered, two different frameworks of modelling and analysis have emerged. On the one hand, continuousbased models and, on the other hand, discrete particle methods, respectively “Continuous and Discontinuous Modelling” are successfully applied to cohesive frictional materials. In addition the homogenization strategies are used to link the microscopic models to equivalent continuum models. This volume contains the contributions to the 2nd International Symposium on “Continuous and Discontinuous Modelling of CohesiveFrictional Materials, CDM 2004” as organised by the research group “Modelling of CohesiveFrictional Material”. This research group was established in May 1998 with the full support of the German Science Foundation (DFG) for a period of 3 years and renewed for a second period of an additional 3 years. Four different institutes of the University of Stuttgart currently participate in the research group, namely ● Institute of Applied Mechanics (Civil Engineering) (Prof. W.Ehlers); ● Institute of Geotechnical Engineering (Prof. P.A.Vermeer); ● Institute of Structural Mechanics (Prof. E.Ramm); ● Institute for Computational Physics (Prof. H.J.Herrmann). The research group focuses on the development of a multilevel approach for the modelling of cohesive frictional materials. Within this framework, the main research areas can be found in the enhancement of both modelling strategies, the discrete one and the continuous one with an emphasis on the transition between these approaches. After two years of the second research period and considering the lively interest raised by the 1st symposium of the research group, it was decided to organise this 2nd International Symposium. For doing so, we obtained support from the German Science Foundation (DFG) and the EU research and training network “Degradation and Instabilities in Geomaterials with Application to Hazard Mitigation” (DIGA). We are grateful for the sponsoring of the former and the support of the latter organisation. The success of this symposium largely results from the efforts of a small organising committee within our research group, namely ● Dr. rer.nat. R.GarcíaRojo, Institute for Computer Physics; ● Dipl.Ing. U.Vogler, Institute of Geotechnical Engineering; ● Dipl.Ing. S.Wenz, Institute of Applied Mechanics (Civil Engineering). We would like to thank the organising committee for the work in preparing and coordinating this meeting of researchers. They invested their time and energy to guarantee a successful meeting for the participants. Most of them came from Europe, but some of them came from overseas. The highlights of the symposium was a series of lectures of outstanding speakers. International experts in targeted research areas lectured on current developments and problems in the numerical modelling of cohesive frictional materials and provided a deeper understanding of the microscopic and macroscopic description of geomaterials. We are grateful for their efforts to prepare and present their lectures. Their contributions are published in this proceedings volume. This book will prove