Lectures on Viscoelasticity Theory

  • Allen C. Pipkin

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

Table of contents

  1. Front Matter
    Pages i-ix
  2. Allen C. Pipkin
    Pages 1-3
  3. Allen C. Pipkin
    Pages 4-21
  4. Allen C. Pipkin
    Pages 22-32
  5. Allen C. Pipkin
    Pages 33-47
  6. Allen C. Pipkin
    Pages 48-73
  7. Allen C. Pipkin
    Pages 74-95
  8. Allen C. Pipkin
    Pages 96-113
  9. Allen C. Pipkin
    Pages 114-130
  10. Allen C. Pipkin
    Pages 131-156
  11. Allen C. Pipkin
    Pages 157-174
  12. Back Matter
    Pages 175-180

About this book

Introduction

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 de­ tailed explanation. Furthermore, much of the content of the course is in the prob­ lems 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 given, 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~, 291(1962)) remains the best reference for proofs of theorems.

Keywords

Mathematica applied mathematics elasticity mathematics polymer proof rheology theorem

Authors and affiliations

  • Allen C. Pipkin
    • 1
  1. 1.Division of Applied MathematicsBrown UniversityProvidenceUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-9970-8
  • Copyright Information Springer-Verlag New York 1972
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-90030-8
  • Online ISBN 978-1-4615-9970-8
  • Series Print ISSN 0066-5452
  • About this book