Principles of Continuum Mechanics A Basic Course for Physicists
This book addresses the basic concepts of continuum mechanics, that is, the classical field theory of deformable bodies. The theory is systematically developed, from the kinematics to the balance equations, the material theory, and the entropy principles.
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Principles of Continuum Mechanics A Basic Course for Physicists
Neˇcas Center Series Editor-in-Chief: Josef Málek, Charles University, Prague, Czech Republic Managing Editor: Beata Kubis, Czech Academy of Sciences, Prague, Czech Republic Editorial Board: Peter Bastian, University of Heidelberg, Heidelberg, Germany Miroslav Bulíˇcek, Charles University, Prague, Czech Republic Andrea Cianchi, University of Florence, Florence, Italy Camillo De Lellis, University of Zurich, Zurich, Switzerland Eduard Feireisl, Czech Academy of Sciences, Prague, Czech Republic Volker Mehrmann, Technical University of Berlin, Berlin, Germany Luboš Pick, Charles University, Prague, Czech Republic Milan Pokorný, Charles University, Prague, Czech Republic Vít Pr˚ uša, Charles University, Prague, Czech Republic K R Rajagopal, Texas A&M University, College Station, TX, USA Christophe Sotin, California Institute of Technology, Pasadena, CA, USA Zdenˇek Strakoš, Charles University, Prague, Czech Republic Endre Süli, University of Oxford, Oxford, UK Vladimír Šverák, University of Minnesota, Minneapolis, MN, USA Jan Vybíral, Czech Technical University, Prague, Czech Republic
The Neˇcas Center Series aims to publish high-quality monographs, textbooks, lecture notes, habilitation and Ph.D. theses in the field of mathematics and related areas in the natural and social sciences and engineering. There is no restriction regarding the topic, although we expect that the main fields will include continuum thermodynamics, solid and fluid mechanics, mixture theory, partial differential equations, numerical mathematics, matrix computations, scientific computing and applications. Emphasis will be placed on viewpoints that bridge disciplines and on connections between apparently different fields. Potential contributors to the series are encouraged to contact the editor-in-chief and the manager of the series.
More information about this series at http://www.springer.com/series/16005
Zdenˇek Martinec
Principles of Continuum Mechanics A Basic Course for Physicists
Zdenˇek Martinec Faculty of Mathematics and Physics Charles University in Prague Prague, Czech Republic Dublin Institute for Advanced Studies Geophysics Section Dublin, Ireland
ISSN 2523-3343 ISSN 2523-3351 (electronic) Neˇcas Center Series ISBN 978-3-030-05389-5 ISBN 978-3-030-05390-1 (eBook) https://doi.org/10.1007/978-3-030-05390-1 Mathematics Subject Classification (2010): 74-01, 76-01, 80-01, 86-01 © Springer Nature Switzerland AG 2019 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 publ
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