Lectures on Viscoelasticity Theory
This book contains notes for a one-semester course on viscoelasticity given in the Division of Applied Mathematics at Brown University. The course serves as an introduction to viscoelasticity and as a workout in the use of various standard mathematical me
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Applied Mathematical Sciences EDITOR S Fritz John
Courant Institute of Mathematical Sciences New York University New York, NY 10012
J.E. Marsden
Department of Mathematics University of California Berkeley, CA 94720
Lawrence Sirovich
Division of Applied Mathematics Brown University Providence, Rl 02912
ADVISOR S M. Ghil New York University
B. Matkowsky Northwestern University
J.K. Hale Brown University
J.T. Stuart Imperial College
J. Keller Stanford University
A. Weinstein University of California
K. Kirchgässne r Universitä t Stuttgart
EDITORIA L STATEMEN T The mathematization of all sciences, the fading of traditional scientific boundaries, the impact of computer technology, the growing importance of mathematicalcomputer modelling and the necessity of scientific planning all create the need both in education and research for books that are introductory to and abreast of these developments. The purpose of this series is to provide such books, suitable for the user of mathematics, the mathematician interested in applications, and the student scientist. In particular, this series will provide an outlet for material less formally presented and more anticipatory of needs than finished texts or monographs, yet of immediate n iterest because of the novelty of its treatment of an application or of mathematics being applied or lying close to applications. The aim of the series is, through rapid publication in an attractive but inexpensive format, to make material of current interest widely accessible. This implies the absence of excessive generality and abstraction, and unrealistic idealization, but with quality of exposition as a goal. Many of the books will originate out of and will stimulate the development of new undergraduate and graduate courses in the applications of mathematics. Some of the books will present introductions to new areas of research, new applications and act as signposts for new directions in the mathematical sciences. This series will often serve as an intermediate stage of the publication of material which, through exposure here, will be further developed and refined. These will appear in conventional format and in hard cover.
MANUSCRIPT S The Editors welcome all inquiries regarding the submission of manuscripts for the series. Final preparation of all manuscripts will take place in the editorial offices of the series in the Division of Applied Mathematics, Brown University, Providence, Rhode Island. SPRINGER SCIENCE+BUSINESS MEDIA , L L C
A.C. Pipkin
Lectures on Viscoelasticity Theory Second Edition
Wit h 17 Illustrations
Springer Science+Busines s Media, LL C
A . C . Pipkin Division of Applied Mathematics Brown University Providence, RI 02912 U.S.A.
AM S Classification: 73FXX
Librar y of Congress Cataloging in Publication Data Pipkin , A . C. Lectures on Viscoelasticity theory. (Applied mathematical sciences ; v. 7) Includes index. 1. Viscoelasticity. I. Title. II . Series: Applied mathematical science s (Springer-Verlag New York Inc.); v. 7. QA1.A647 vol.7 1986 510 s 86-6
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