Shell-like Structures Non-classical Theories and Applications

In this volume scientists and researchers from industry discuss the new trends in simulation and computing shell-like structures. The focus is put on the following problems: new theories (based on two-dimensional field equations but describing non-classic

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Series Editors Andreas Öchsner, Johor, Malaysia Lucas Filipe Martins da Silva, Porto, Portugal Holm Altenbach, Halle, Germany

For further volumes: http://www.springer.com/series/8611

Holm Altenbach Victor A. Eremeyev Editors •

Shell-like Structures Non-classical Theories and Applications

123

Prof. Dr.-Ing.habil. Dr.h.c. Holm Altenbach Lehrstuhl Technische Mechanik Institut für Mechanik Fakultät für Maschinenbau Otto-von-Guericke-Universität Magdeburg Universitätsplatz 2 D-39106 Magdeburg Germany e-mail: [email protected]

Prof. Dr. Victor A. Eremeyev Lehrstuhl Technische Mechanik Institut für Mechanik Fakultät für Maschinenbau Otto-von-Guericke-Universität Magdeburg Universitätsplatz 2 D-39106 Magdeburg Germany and South Federal University and South Science Centre of RASci Rostov on Don Russia e-mail: [email protected]

ISSN 1869-8433 ISBN 978-3-642-21854-5 DOI 10.1007/978-3-642-21855-2

e-ISSN 1869-8441 e-ISBN 978-3-642-21855-2

Springer Heidelberg Dordrecht London New York  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: WMXDesign GmbH, Heidelberg Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

Preface

Shell-like structures are used in Civil and Aero-space engineering as basic structural elements. As a model of analysis are also used such structures in other branches, e.g. Mechanical engineering, but also in new branches like Medicine and Biology. New applications are primarily related to new materials—instead of steel or concrete, now one has to analyze laminates, foams, functionally graded materials, nanofilms, biological membranes, soft tissues, etc. The new trends in applications demand the improvements of the theoretical foundations of shell theory, since new effects must be taken into account. For example, in the case of small-size shell-like structures (thin films, multiwalled nanotubes) the surface effect plays an important role in the mechanical analysis of these structural elements. Scientific meetings like conferences or colloquia are regularly organized by civil engineers, mathematicians, etc. Within the EUROMECH Colloquium 527 Shell-like structures – Non-classical Theories and Applicatio