Understanding Viscoelasticity Basics of Rheology
Viscoelasticity (or rheology) is a highly mathematical subject, interfacing several disciplines, from applied mathematics to mechanics and engineering. Other books on rheology are usually comprehensive to such a degree that students find it hard to isolat
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Advanced Texts in Physics This program of advanced texts covers a broad spectrum of topics which are of current and emerging interest in physics. Each book provides a comprehensive and yet accessible introduction to a field at the forefront of modern research. As such, these texts are intended for senior undergraduate and graduate students at the MS and PhD level; however, research scientists seeking an introduction to particular areas of physics will also benefit from the titles in this collection.
Springer-Verlag Berlin Heidelberg GmbH
Physics and Astronomy
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Nhan Phan-Thien
Understanding Viscoelasticity Basics of Rheology
With 50 Figures
'
Springer
Professor Nhan Phan-Thien, FAA Mechanical Engineering Department National University of Singapore Singapore 119260 Singapore E-mail: nhanGnus.edu.sg
ISSN 1439-2674 ISBN 978-3-~-07779-1 Library of Congress Cataloging-in-Publication Data. Phan-Thien, Nhan. Understanding viscoelasticity: basics of rheology/Nhan Phan-Thien. p.cm. - (Advanced texts in physics, ISSN 1439-2674) Includes bibliographical references and index. ISBN 978-3-642-07779-1 ISBN 978-3-662-10704-1 (eBook) DOI 10.1007/978-3-662-10704-1 1. Viscoelasticity. I. Title. II. Series. QA931.P426 2002 532'.0533-dc21 2002020926 This work is subject to copyright. All rights are reserved, whetller tlle whole or part of tlle material is concerned, specifically tlle rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any oilier way, and storage in data banks. Duplication of tllis publication or parts tllereof is permitted only under tlle provisions of tlle German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag Berlin Heidelberg GmbH.
Violations are liable for prosecution under tlle German Copyright Law. http://www.springer.de @Springer-Verlag Berlin Heidelberg 2002 Originally published by Springer-Verlag Berlin Heidelberg New York in 2002 Softcover reprint of the hardcover 1St edition 2002
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 sucll names are exempt from the relevant protective laws and regulations and therefore free for general use. Typesetting by the autllor Cover design: design & production GmbH, Heidelberg Printed on acid-free paper SPIN 10852108 57/3141/tr
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Preface
This book presents an introduction to viscoelasticity; in particular, to the theories of dilute polymer solutions and melts, and dilute suspensions of rigid particles in viscous and incompressible fluids. These theories are important, not just because they apply to practical problems of industrial interest, but because they form a solid theoretical base upon which mathematical techniques can be built, from which more complex theories can be constructed, to better mimic material behaviour. The emphasis is not on the volumino
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