One-Dimensional Finite Elements An Introduction to the FE Method
This textbook presents finite element methods using exclusively one-dimensional elements. It presents the complex methodology in an easily understandable but mathematically correct fashion. The approach of one-dimensional elements enables the re
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One-Dimensional Finite Elements An Introduction to the FE Method Second Edition
One-Dimensional Finite Elements
Andreas Öchsner Markus Merkel •
One-Dimensional Finite Elements An Introduction to the FE Method Second Edition
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Andreas Öchsner Faculty of Mechanical Engineering Esslingen University of Applied Sciences Esslingen Germany
Markus Merkel Institute for Virtual Product Development Aalen University of Applied Sciences Aalen Germany
ISBN 978-3-319-75144-3 ISBN 978-3-319-75145-0 https://doi.org/10.1007/978-3-319-75145-0
(eBook)
Library of Congress Control Number: 2018934874 1st edition: © Springer-Verlag Berlin Heidelberg 2013 2nd edition: © Springer International Publishing AG, part of Springer Nature 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 the registered company Springer International Publishing AG part of Springer Nature The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
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Preface
The title of this book ‘One-Dimensional Finite Elements: An Introduction to the FE Method’ stands for content and focus. Nowadays, much literature regarding the topic of the finite element method exists. The different works reflect the multifaceted perceptions and application possibilities. The basic idea of this introduction into the finite element method relies on the concept of explaining the complex method with the help of one-dimensional elements. It is the goal to introduce the manifold aspects of the finite element method and to enable the reader to get a methodical understanding of important subject areas. The reader learns to understand the assumptions and derivations at different physical problems in structural mechanics. Furthermore, he/she learns to critically evaluate possibilities and limitations of the finite elem
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