Computational Methods in Elasticity and Plasticity Solids and Porous
Computational Methods in Elasticity and Plasticity: Solids and Porous Media presents the latest developments in the area of elastic and elasto-plastic finite element modeling of solids, porous media and pressure-dependent materials and structures. The boo
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A. Anandarajah
Computational Methods in Elasticity and Plasticity Solids and Porous Media
A. Anandarajah Department of Civil Engineering Johns Hopkins University 3400 Charles Street Baltimore, Maryland 21218 USA [email protected]
ISBN 978-1-4419-6378-9 e-ISBN 978-1-4419-6379-6 DOI 10.1007/978-1-4419-6379-6 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2010931280 # Springer ScienceþBusiness Media, LLC 2010 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer ScienceþBusiness Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
The past few decades have seen a great upsurge in research in the area of elastoplastic modeling of solids, porous materials and structures. While research continues on more challenging topics, a certain degree of maturity has been reached on the basic principles of elasto-plastic numerical modeling. Understanding the basics of elasto-plastic modeling requires knowledge in a number of rather diverse areas such as continuum mechanics, finite element method, theories of elasticity and plasticity and integration of rate constitutive equations. The objectives of this book are (a) to provide in a single volume a detailed coverage of all necessary topics, (b) to develop the theories from the basic-level mathematics, mechanics and physics, (c) to cover the topics thoroughly, (d) to provide opportunity for the reader to develop hands-on experience and (e) to present adequate amount of numerical examples for the reader to develop a feel for the theories and to verify their own analysis results. In achieving these ambitious set of objectives, certain topics had to be excluded. For example, the consideration of large deformation, bifurcation, shear localization, gradient plasticity, damage models and contact problems have been omitted. The book is intended to be a text book. Each chapter accompanies a set of problems. The level of presentation is aimed at graduate students. However, the style of presentation should allow undergraduate students to grasp the material as well. The material in the book is suitable for a number of different graduate-level courses, including, for instance, (a) computational plasticity, (b) numerical modeling in engineering, (c) finite element modeling and (d) theory of plasticity. It is left to the course instructor to select the topic
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