Computational Plasticity

Despite the apparent activity in the field, the ever increasing rate of development of new engineering materials required to meet advanced technological needs poses fresh challenges in the field of constitutive modelling. The complex behaviour of such mat

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Computational Methods in Applied Sciences Volume 7

Series Editor E. Oñate International Center for Numerical Methods in Engineering (CIMNE) Technical University of Catalunya (UPC) Edificio C-1, Campus Norte UPC Gran Capitán, s/n 08034 Barcelona, Spain [email protected] www.cimne.com

Computational Plasticity Edited by

Eugenio Oñate Universitat Politècnica de Catalunya, Barcelona, Spain and

Roger Owen University of Wales, Swansea, United Kingdom

A C.I.P. Catalogue record for this book is available from the Library of Congress.

ISBN 978-1-4020-6576-7 (HB) ISBN 978-1-4020-6577-4 (e-book) Published by Springer, P.O. Box 17, 3300 AA Dordrecht, The Netherlands. www.springer.com

Printed on acid-free paper

All Rights Reserved © 2007 Springer 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.

Table of Contents

Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vii A Multi-Scale Continuum Theory for Heterogeneous Materials F. Vernerey, C. McVeigh, W.K. Liu and B. Moran . . . . . . . . . . . . . . . . . . . . .1 Towards a Model for Large Strain Anisotropic Elasto-Plasticity F.J. Mont´ ans and K.J. Bathe . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 Localized and Diffuse Bifurcations in Porous Rocks Undergoing Shear Localization and Cataclastic Flow R.I. Borja . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 Dispersion and Localisation in a Strain-Softening Two-Phase Medium R. de Borst and M.-A. Abellan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 New Developments in Surface-to-Surface Discretization Strategies for Analysis of Interface Mechanics T.A. Laursen and B. Yang . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 Particle Finite Element Methods in Solid Mechanics Problems J. Oliver, J.C. Cante, R. Weyler, C. Gonz´ alez and J. Hern´ andez . . . . . . 87 Micro-Meso-Macro Modelling of Composite Materials P. Wriggers and M. Hain . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 Numerical Modeling of Transient Impact Processes with Large Deformations and Nonlinear Material Behavior E. Ramm, T. Erhart and W.A. Wall . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123 A Computational Model For Viscoplasticity Coupled with Damage Including Unilateral Effects D.R.J. Owen, F.M. Andrade Pires and E.A. de Souza Neto . . . . . . . . . 145

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Table of Contents

On Multiscale Analysis of Heterogeneous Composite Materials: Implementation of Micro-