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Tensor Algebra and Tensor Analysis for Engineers - with Applications to Continuum Mechanics 2ed.pdf

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Tensor Algebra and Tensor Analysis for Engineers - with Applications to Continuum Mechanics 2ed.pdf

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Tensor Algebra and Tensor Analysis for Engineers - with Applications to Continuum Mechanics 2ed.pdf

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文档介绍:Tensor Algebra and Tensor Analysis for Engineers
Second edition
Mikhail Itskov
Tensor Algebra and Tensor
Analysis for Engineers
With Applications to Continuum Mechanics
Second edition
123
Prof. Dr.-Ing. Mikhail Itskov
Department of Continuum Mechanics
RWTH Aachen University
Eilfschornsteinstr. 18
D 52062 Aachen
Germany
******@-
ISBN 978-3-540-93906-1 e-ISBN 978-3-540-93907-8
DOI -3-540-93907-8
Springer Dordrecht Heidelberg London New York
Library of Congress Control Number: 2009926098
c Springer-Verlag Berlin Heidelberg 2007, 2009
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: eStudio Calamar .
Printed on acid-free paper
Springer is part of Springer Science+Business Media ()
Moim roditelm
Preface to the Second Edition
This second edition pleted by a number of additional examples and
exercises. In response ments and questions of students using this book,
solutions of many exercises have been improved for a better understanding.
Some changes and enhancements are concerned with the treatment of skew-
symmetric and rotation tensors in the first chapter. Besides, the text and
formulae have thoroughly b