Numerical Modelling In Geomechanics

Numerical Modelling in Thispage intentiunal[v left blank Modelling in edited b y Manuel Pastor 8 Claudio Tamagnini KOGAN PAGE SCIENCE London and Sterling, VA First published in 2002 by Lavoisier and Hermes Science Publications First published in Great Britain and the United States in 2004 by Kogan Page Science, an imprint of Kogan Page Limited Apart fiom any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any form or by any means, with the prior permission in writing of the publishers, or in the case of reprographic reproduction in accordance with the terms and licences issued by the CLA. Enquiries concerning reproduction outside these terms should be sent to the publishers at the undermentioned addresses: 120 Pentonville Road London NI 9JN m 22883 Quicksilver Drive Sterling VA 20166-2012 USA www.koganpagescience.com O Lavoisier, 2002 O Kogan Page Limited, 2004 The right of Manuel Pastor and Claudio Tarnagnini to be identified as the editors of this work has been asserted by them in accordance with the Copyright, Designs and Patents Act 1988. ISBN 1 9039 9642 2 British Library Cataloguing-in-Publication Data A CIP record for this book is available from the British Library. Typeset by Kogan Page Printed and bound in the UK by Creative Print and Design (Wales), Ebbw Vale Contents .. Foreword.. ............................................................................................................... .v11 1. Steady State Problems of Elliptic Type ............................................................ 1 Manuel Pastor and Pablo Mira 2. Transient Problems of Parabolic Type .......... Manuel Pastor and Jose Antonio Fernandez Merodo 23 41 3. Constitutive Modelling for Rate-independent Soils: A Review....................... Claudio Tarnagnini and Gioacchino Viggiani 4. Coupling Equations for Water Saturated and Partially Saturated Geomaterials.. ..........................................................................................................83 Bernhard A. Schrefler and Lorenzo Sanavia 5. Continuum Damage Modelling and Some Computational Issues........,....,..... 99 Gilles Pijaudier-Cabot and Ludovic Jason 6. Non Linear Problems: An Introduction .................... Pablo Mira and Manuel Pastor . ...............................127 7. Small Strain vs Large Strain Formulation in Computational Mechanics .............................................................................................................. 145 Renk Chambon 8. Implicit Integration of Constitutive Equations in Computational Plasticity.. ...............................................................................................................159 Claudio Tamagnini, Riccardo Castellanza and Roberto Nova 9. Non Linear Problems: Advanced Techniques ............................................ 177 Pablo Mira and Manuel Pastor 10. A Finite Element Model for Water Saturated and Partially Saturated Geomaterials ........................................................................................ 191 Lorenzo Sanavia and Bernhard A. Schrefler vi Numerical Modelling in Geomechanics 11, Alternative Formulations in Soil Dynamics ................