The Mechanics of Solids and Structures - Hierarchical Modeling and the Finite Element Solution
This book presents in one treatise – both – the basic mathematicalmodels of solid / structural mechanics and effective finite elementprocedures for the solution of these models. The book can beused for teaching, in a modern way, solid and structural mecha
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Series Editor K.J. Bathe Massachusetts Institute of Technology, Cambridge, MA, USA
For other titles published in this series, go to http://www.springer.com/series/4449
Miguel Luiz Bucalem Klaus-Jürgen Bathe •
The Mechanics of Solids and Structures – Hierarchical Modeling and the Finite Element Solution
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Prof. Miguel Luiz Bucalem Escola Politécnica da Universidade de São Paulo São Paulo, Brazil [email protected]
Prof. Klaus-Jürgen Bathe Massachusetts Institute of Technology Cambridge, MA USA [email protected]
ISSN 1860-482X e-ISSN 1860-4838 ISBN 978-3-540-26331-9 e-ISBN 978-3-540-26400-2 DOI 10.1007/978-3-540-26400-2 Springer Heidelberg Dordrecht London New York c Springer-Verlag Berlin Heidelberg 2011 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, 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. Cover design: deblik, Berlin Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
Our main objective in this book is to provide a rational, structured and modern framework for the modeling and analysis of engineering structures. Although engineering structures have been modeled and analyzed for centuries, the mathematical models that could actually be solved were relatively simple. This situation has dramatically changed during the last decades. Today, with powerful computers and reliable finite element procedures widely available, very complex models of solids and structures can be solved, and consequently the range and complexity of analyses has drastically increased. In any finite element analysis, the first step for an analyst is to choose an appropriate mathematical model, and the second step is to solve that model using finite element procedures. In almost all analyses, the first step is most important and also most difficult. In order to choose an appropriate model, the analyst must be familiar with the basic mathematical models that are available, and in particular know the hierarchy of such models. Only if the analyst is deeply familiar with the various mathematical models available, their hierarchy, and reliable finite element procedures, can the analyst choose the most effective model, perform an efficient analysis, and properly interpret the analysis results. Many books on finite element methods have been published; however,
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