IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media
This work comprises papers based on some of the talks presented at the IUTAM Symposium of the same name, held in Cape Town, January 14-18, 2008. This volume treats cutting-edge issues in modelling, the behaviour of various classes of inelastic media,
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IUTAM BOOKSERIES Volume 11 Series Editors G.M.L. Gladwell, University of Waterloo, Waterloo, Ontario, Canada R. Moreau, INPG, Grenoble, France Editorial Board J. Engelbrecht, Institute of Cybernetics, Tallinn, Estonia L.B. Freund, Brown University, Providence, USA A. Kluwick, Technische Universität, Vienna, Austria H.K. Moffatt, University of Cambridge, Cambridge, UK N. Olhoff Aalborg University, Aalborg, Denmark K. Tsutomu, IIDS, Tokyo, Japan D. van Campen, Technical University Eindhoven, Eindhoven, The Netherlands Z. Zheng, Chinese Academy of Sciences, Beijing, China
Aims and Scope of the Series The IUTAM Bookseries publishes the proceedings of IUTAM symposia under the auspices of the IUTAM Board.
For other titles published in this series, go to www.springer.com/series/7695
B. Daya Reddy Editor
IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media Proceedings of the IUTAM Symposium held at Cape Town, South Africa, January 14–18, 2008
B. Daya Reddy Centre for Research in Computational and Applied Mechanics University of Cape Town 7701 Rondebosch South Africa
ISBN-13: 978-1-4020-9089-9
e-ISBN-13: 978-1-4020-9090-5
Library of Congress Control Number: 2008936007 © 2008 Springer Science+Business Media, B.V. 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. Printed on acid-free paper 987654321 springer.com
Table of Contents
Preface
ix
List of Committee Members and Sponsors
xi
List of Participants
xiii
Multiscale Modeling and Simulation of Microstructure On Computational Procedures for Multi-Scale Finite Element Analysis of Inelastic Solids D. Peri´c, D.D. Somer, E.A. de Souza Neto and W.G. Dettmer Material Characterization Based on Microstructural Computations and Homogenization P. Wriggers and M. Hain
3
15
Relaxed Potentials and Evolution Equations for Inelastic Microstructures K. Hackl and D.M. Kochmann
27
Towards Effective Simulation of Effective Elastoplastic Evolution C. Carstensen and R. Huth
41
Numerical Approximation Techniques for Rate-Independent Inelasticity A. Mielke
53
Damage and Fracture A Computational Methodology for Modeling Ductile Fracture A.A. Benzerga
67
Multiscale Methods for Fracturing Solids S. Loehnert and D.S. Mueller-Hoeppe
79
v
vi
Table of Contents
A Regularized Brittle Damage Model Solved by a Level Set Technique N. Moës, N. Chevaugeon and F. Dufour
89
Gradient and Other Non-Local Theories A Counterpoint to Cermelli and Gurtin’s Criteria for Choosing the ‘Correct’ Geometric Dislocation Tensor in Finite Plasticity A. Acharya
99
On Stability for Elastoplasticity of Integral-Type F. Marotti de Sciarra
107
On the Mathematical Formulations of a Model of Strain Gradien
