Introduction to Nonlinear Thermomechanics of Solids
The first part of this textbook presents the mathematical background needed to precisely describe the basic problem of continuum thermomechanics. The book then concentrates on developing governing equations for the problem dealing in turn with the kinemat
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Lecture Notes on Numerical Methods in Engineering and Sciences
Lecture Notes on Numerical Methods in Engineering and Sciences Series editor Eugenio Oñate, Barcelona, Spain Editorial Board Francisco Chinesta, Paris, France Charbel Farhat, Stanford, USA Carlos Felippa, Colorado, USA Antonio Huerta, Barcelona, Spain Thomas J.R. Hughes, Austin, USA Sergio R. Idelsohn, Barcelona, Spain Pierre Ladeveze, Paris, France Wing Kam Liu, Evanston, USA Xavier Oliver, Technical, Barcelona, Spain Manolis Papadrakakis, Athens, Greece Jacques Périaux, Jyväskylä, Finland Bernhard Schrefler, Padova, Italy Genki Yagawa, Tokyo, Japan Mingwu Yuan, Beijing, China
Aims and Scope of the Series This series publishes text books on topics of general interest in the field of computational engineering sciences. The books will focus on subjects in which numerical methods play a fundamental role for solving problems in engineering and applied sciences. Advances in finite element, finite volume, finite differences, discrete and particle methods and their applications are examples of the topics covered by the series. The main intended audience is the first year graduate student. Some books define the current state of a field to a highly specialised readership; others are accessible to final year undergraduates, but essentially the emphasis is on accessibility and clarity. The books will be also useful for practising engineers and scientists interested in state of the art information on the theory and application of numerical methods.
More information about this series at http://www.springer.com/series/8548
Michał Kleiber Piotr Kowalczyk •
Introduction to Nonlinear Thermomechanics of Solids
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Michał Kleiber Institute of Fundamental Technological Research Polish Academy of Sciences Warsaw Poland
Piotr Kowalczyk Institute of Fundamental Technological Research Polish Academy of Sciences Warsaw Poland
ISSN 1877-7341 ISSN 1877-735X (electronic) Lecture Notes on Numerical Methods in Engineering and Sciences ISBN 978-3-319-33454-7 ISBN 978-3-319-33455-4 (eBook) DOI 10.1007/978-3-319-33455-4 Library of Congress Control Number: 2016937521 © 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 ac
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