Plasticity Mathematical Theory and Numerical Analysis
This book focuses on the theoretical aspects of small strain theory of elastoplasticity with hardening assumptions. It provides a comprehensive and unified treatment of the mathematical theory and numerical analysis. It is divided into three parts,
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Interdisciplinary Applied Mathematics
Editors S.S. Antman P. Holmes K. Sreenivasan Series Advisors L. Glass P. S. Krishnaprasad R.V. Kohn J.D. Murray S.S. Sastry
Problems in engineering, computational science, and the physical and biological sciences are using increasingly sophisticated mathematical techniques. Thus, the bridge between the mathematical sciences and other disciplines is heavily traveled. The correspondingly increased dialog between the disciplines has led to the establishment of the series: Interdisciplinary Applied Mathematics. The purpose of this series is to meet the current and future needs for the interaction between various science and technology areas on the one hand and mathematics on the other. This is done, firstly, by encouraging the ways that mathematics may be applied in traditional areas, as well as point towards new and innovative areas of applications; and, secondly, by encouraging other scientific disciplines to engage in a dialog with mathematicians outlining their problems to both access new methods and suggest innovative developments within mathematics itself. The series will consist of monographs and high-level texts from researchers working on the interplay between mathematics and other fields of science and technology.
For further volumes: http://www.springer.com/series/1390
Weimin Han • B. Daya Reddy
Plasticity Mathematical Theory and Numerical Analysis Second Edition
Weimin Han Department of Mathematics University of Iowa Iowa City, IA 52242 USA
B. Daya Reddy Department of Mathematics and Applied Mathematics and Centre for Research in Computational and Applied Mechanics University of Cape Town Rondebosch South Africa
ISSN 0939-6047 ISBN 978-1-4614-5939-2 ISBN 978-1-4614-5940-8 (eBook) DOI 10.1007/978-1-4614-5940-8 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2012952938 Mathematics Subject Classification (2010): 74C05, 65N30, 65M06, 65M60, 74S05, 74S20, 49J40 © Springer Science+Business Media, LLC 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are
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