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Introduction_to_Computational_Plasticity

'Introduction_to_Computational_Plasticity'
Introduction to Computational Plasticity FIONN DUNNE AND NIK PETRINIC Department of Engineering Science Oxford University, UK 1 3 Great Clarendon Street, Oxford ox2 6dp Oxford University Press is a department of the University of Oxford. It furthers the University’s objective of excellence in research, scholarship, and education by publishing worldwide in Oxford NewYork Auckland CapeTown DaresSalaam HongKong Karachi Kuala Lumpur Madrid Melbourne MexicoCity Nairobi NewDelhi Shanghai Taipei Toronto With offi ces in Argentina Austria Brazil Chile CzechRepublic France Greece Guatemala Hungary Italy Japan Poland Portugal Singapore SouthKorea Switzerland Thailand Turkey Ukraine Vietnam Oxford is a registered trade mark of Oxford University Press in the UK and in certain other countries Published in the United States by Oxford University Press Inc., New York © Oxford University Press, 2005 The moral rights of the authors have been asserted Database right Oxford University Press (maker) First published 2005 Reprinted 2006 (with corrections) All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission in writing of Oxford University Press, or as expressly permitted by law, or under terms agreed with the appropriate reprographics rights organization. Enquiries concerning reproduction outside the scope of the above should be sent to the Rights Department, Oxford University Press, at the address above You must not circulate this book in any other binding or cover and you must impose the same condition on any acquirer British Library Cataloguing in Publication Data (Data available) Library of Congress Cataloging in Publication Data (Data available) Typeset by Newgen Imaging Systems (P) Ltd., Chennai, India Printed in Great Britain on acid-free paper by Biddles Ltd, King’s Lynn ISBN 0-19-856826-6 (Hbk)978-0-19-856826-1 3 5 7 9 10 8 6 4 2 Preface The intention of this book is to bridge the gap between undergraduate texts in engineeringplasticityandthemanyexcellentbooksincomputationalplasticityaimed at more senior graduate students, researchers, and practising engineers working in solid mechanics. The book is in two parts. The fi rst introduces microplasticity and covers continuum plasticity, the kinematics of large deformations and continuum mechanics, the fi nite element method, implicit and explicit integration of plasticity constitutive equations, and the implementation of the constitutive equations, and the associatedmaterialJacobian,intofi niteelementsoftware.Inparticular,theimplemen- tationintothecommercialcodeABAQUSisaddressed(andtohelp,weprovidearange of ABAQUS material model UMATs), together, importantly, with the tests necessary to verify the implementation. Our intention, wherever possible, is to develop a good physical feel for the plasticity models and equations described by considering, at every stage, the simplifi cation of the equation
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