Automation of Finite Element Methods
New finite elements are needed as well in research as in industry environments for thedevelopment of virtual prediction techniques. The design and implementation of novel finiteelements for specific purposes is a tedious and time consuming task, especiall
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Automation of Finite Element Methods 123
Automation of Finite Element Methods
Jože Korelc Peter Wriggers •
Automation of Finite Element Methods
123
Jože Korelc Faculty of Civil and Geodetic Engineering University of Ljubljana Ljubljana Slovenia
ISBN 978-3-319-39003-1 DOI 10.1007/978-3-319-39005-5
Peter Wriggers Leibniz University Hannover Hannover Germany
ISBN 978-3-319-39005-5
(eBook)
Library of Congress Control Number: 2016940112 © Springer International Publishing Switzerland 2016 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. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland
Preface
Finite elements analysis (FEM) is one of the most powerful tools for the numerical simulation of complex industrial problems. Still new formulations and discretization schemes have to be developed that account for the needs of advanced applications in engineering. The book is intended for students and engineers who want to develop new finite element formulations, especially for nonlinear problems. The derivations of the finite element matrices and vectors needed for an efficient treatment of nonlinear applications within a finite element environment can become extremely complex and error-prone. Due to the power of symbolic computations it is nowadays possible to automatically generate efficient and highly compressed code for linear and nonlinear problems. By this, tedious hand calculations can be avoided leading to more accurate implementations and huge time savings in the development phase, e.g., of new finite elements or material models. Based on the symbolic system AceGen fast and reliable code can be created with a minimum of effort and immediately be tested and verified by using the associated finite element program AceFEM. AceGen is a package within Mathematica and produces source code for different finite element environments. The use of AceGen is described within this book for
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