Singular Solutions in Plasticity
This book deals with singular solutions that appear in the vicinity of maximum friction surfaces for several rigid plastic models. In particular, it discusses precise asymptotic expansions as a necessary ingredient for the development of efficient numeric
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Sergei Alexandrov
Singular Solutions in Plasticity
123
SpringerBriefs in Applied Sciences and Technology Continuum Mechanics
Series editors Holm Altenbach, Magdeburg, Germany Andreas Öchsner, Southport Queensland, Australia
These SpringerBriefs publish concise summaries of cutting-edge research and practical applications on any subject of Continuum Mechanics and Generalized Continua, including the theory of elasticity, heat conduction, thermodynamics, electromagnetic continua, as well as applied mathematics. SpringerBriefs in Continuum Mechanics are devoted to the publication of fundamentals and applications, presenting concise summaries of cutting-edge research and practical applications across a wide spectrum of fields. Featuring compact volumes of 50 to 125 pages, the series covers a range of content from professional to academic.
More information about this series at http://www.springer.com/series/10528
Sergei Alexandrov
Singular Solutions in Plasticity
123
Sergei Alexandrov Institute for Problems in Mechanics Russian Academy of Sciences Moscow Russia
ISSN 2191-530X ISSN 2191-5318 (electronic) SpringerBriefs in Applied Sciences and Technology SpringerBriefs in Continuum Mechanics ISBN 978-981-10-5226-2 ISBN 978-981-10-5227-9 (eBook) DOI 10.1007/978-981-10-5227-9 Library of Congress Control Number: 2017944291 © The Author(s) 2018 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. 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer Nature Singapore Pte Ltd. The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore
Preface
This monograph concerns with singular solutions in plasticity and their applications. The source of these singular solutions is the maximum friction surface. The presentation of the introductory material and the theoretical d
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