Interior-Point Method for Lower Bound Shakedown Analysis of von Mises-Type Materials
The lower bound shakedown theorem for the determination of shakedown loading factors leads to nonlinear convex optimization problems. For their solution, the use of interior-point methods has become common practice. In this paper, an extended formulation
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Géry de Saxcé r Abdelbacet Oueslati r Eric Charkaluk r Jean-Bernard Tritsch Editors
Limit State of Materials and Structures Direct Methods 2
Editors Géry de Saxcé Laboratoire de Mécanique de Lille Bd Paul Langevin Villeneuve d’Ascq, France
Eric Charkaluk Laboratoire de Mécanique de Lille Bd Paul Langevin Villeneuve d’Ascq, France
Abdelbacet Oueslati Laboratoire de Mécanique de Lille Bd Paul Langevin Villeneuve d’Ascq, France
Jean-Bernard Tritsch Laboratoire de Mécanique de Lille Bd Paul Langevin Villeneuve d’Ascq, France
ISBN 978-94-007-5424-9 ISBN 978-94-007-5425-6 (eBook) DOI 10.1007/978-94-007-5425-6 Springer Dordrecht Heidelberg New York London Library of Congress Control Number: 2012951710 © Springer Science+Business Media Dordrecht 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 liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Foreword
To determine limit loads for structures and structural elements operating beyond the elastic limit is since ever one of the most important tasks of engineers. For this purpose, “Direct Methods”, embracing Limit Load and Shakedown Analysis, play an increasing role due to the fact that they allow rapid access to the requested information in mathematically constructive manners. This book reports on recent progress in this exciting field of research and is the outc
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