Non-Linear Finite Element Analysis in Structural Mechanics
This monograph describes the numerical analysis of non-linearities in structural mechanics, i.e. large rotations, large strain (geometric non-linearities), non-linear material behaviour, in particular elasto-plasticity as well as time-dependent behaviour,
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Non-Linear Finite Element Analysis in Structural Mechanics
Non-Linear Finite Element Analysis in Structural Mechanics
.
Wilhelm Rust
Non-Linear Finite Element Analysis in Structural Mechanics
Wilhelm Rust Faculty II, Dep. of Mechanical Engineering University of Applied Sciences and Arts Hannover Germany
ISBN 978-3-319-13379-9 ISBN 978-3-319-13380-5 (eBook) DOI 10.1007/978-3-319-13380-5 Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2015933153 © Springer International Publishing Switzerland 2015 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)
Preface
This textbook introduces into the theory of non-linear Finite Element Methods (FEM) in structural mechanics, divided into the main parts on geometric non-linearity, non-linear material behaviour and contact. While it is not possible to describe the total FEM of linear mechanics in one book, this is even more the case for the non-linear FEM, as “non-linear” is not a special property but means that the limiting assumptions, which for good reason dominate undergraduate studies in Technical Mechanics, are missing. This book should prepare the reader to work with advanced books and papers. The formulae used are intentionally derived in detail in order to enable the reader to
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