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Lectures on Viscoelasticity Theory

  • Book
  • © 1986

Overview

Authors:
  1. A. C. Pipkin

    1. Division of Applied Mathematics, Brown University, Providence, USA

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Part of the book series: Applied Mathematical Sciences (AMS, volume 7)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-viii
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  2. Introduction

    • A. C. Pipkin
    Pages 1-3

  3. Viscoelastic Response in Shear

    • A. C. Pipkin
    Pages 4-21

  4. Fourier and Laplace Transforms

    • A. C. Pipkin
    Pages 22-32

  5. Relations Between Modulus and Compliance

    • A. C. Pipkin
    Pages 33-50

  6. Some One-Dimensional Dynamical Problems

    • A. C. Pipkin
    Pages 51-76

  7. Stress Analysis

    • A. C. Pipkin
    Pages 77-97

  8. Thermal Effects

    • A. C. Pipkin
    Pages 98-114

  9. Large Deformations with Small Strains

    • A. C. Pipkin
    Pages 115-130

  10. Slow Viscoelastic Flow

    • A. C. Pipkin
    Pages 131-156

  11. Viscometric Flow

    • A. C. Pipkin
    Pages 157-173

  12. Back Matter

    Pages 174-190
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Keywords

About this book

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 methods. The reader will soon find that he needs to do some work on the side to fill in details that are omitted from the text. These are notes, not a completely detailed explanation. Furthermore, much of the content of the course is in the problems assigned for solution by the student. The reader who does not at least try to solve a good many of the problems is likely to miss most of the point. Much that is known about viscoelasticity is not discussed in these notes, and references to original sources are usually not give, so it will be difficult or impossible to use this book as a reference for looking things up. Readers wanting something more like a treatise should see Ferry's Viscoelastic Properties of Polymers, Lodge's Elastic Liquids, the volumes edited by Eirich on Rheology, or any issue of the Transactions of the Society of Rheology. These works emphasize physical aspects of the subject. On the mathematical side, Gurtin and Sternberg's long paper On the Linear Theory of Viscoelasticity (ARMA II, 291 (I962» remains the best reference for proofs of theorems.

Authors and Affiliations

  • Division of Applied Mathematics, Brown University, Providence, USA

    A. C. Pipkin

Bibliographic Information

  • Book Title: Lectures on Viscoelasticity Theory

  • Authors: A. C. Pipkin

  • Series Title: Applied Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-1-4612-1078-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1986

  • Softcover ISBN: 978-0-387-96345-7Published: 02 June 1986

  • eBook ISBN: 978-1-4612-1078-8Published: 06 December 2012

  • Series ISSN: 0066-5452

  • Series E-ISSN: 2196-968X

  • Edition Number: 2

  • Number of Pages: VIII, 188

  • Topics: Math. Applications in Chemistry, Computational Intelligence

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