Effects of Magnetoelastic Interactions in Conductive Plates and Shells
This monograph investigates the stability and vibrations of conductive, perfectly conductive and superconductive thin bodies in electromagnetic fields. It introduces the main principles and obtains basic equations and relations describing interconnected m
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Gevorg Baghdasaryan Marine Mikilyan
Effects of Magnetoelastic Interactions in Conductive Plates and Shells
Foundations of Engineering Mechanics Series editors V.I. Babitsky, Loughborough, Leicestershire, UK Jens Wittenburg, Karlsruhe, Germany
More information about this series at http://www.springer.com/series/3582
Gevorg Baghdasaryan Marine Mikilyan •
Effects of Magnetoelastic Interactions in Conductive Plates and Shells
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Gevorg Baghdasaryan Institute of Mechanics National Academy of Sciences of Armenia Yerevan Armenia
Marine Mikilyan Institute of Mechanics National Academy of Sciences of Armenia Yerevan Armenia
ISSN 1612-1384 ISSN 1860-6237 (electronic) Foundations of Engineering Mechanics ISBN 978-3-319-19161-4 ISBN 978-3-319-19162-1 (eBook) DOI 10.1007/978-3-319-19162-1 Library of Congress Control Number: 2015941146 Springer Cham Heidelberg New York Dordrecht London © 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 Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com)
Preface
The development of various branches of modern natural sciences is closely related to the theoretical and applied problems of interaction between different media and fields. Interaction problems are fundamental in the new, rapidly progressing field of mechanics of deformable solid bodies in the context of the theory of magnetoelasticity, which is the study of complex fields and processes in deformable bodies under the influence of external electromagnetic fields. The interest in investigations in this scientific field is due to the importance of quantitative study and evaluation of the effects of interaction between mechanical and electromagnetic processes as well as their practical application. An important consideration in the theory of magnetoelasticity is the issue of vibrations and the stability of thin elastic conductive plates and shells in electromag
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