Viscoelasticity and Rheology

Viscoelasticity and Rheology

Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, October 16–18, 1984

1st Edition - November 12, 1985

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  • Editors: Arthur S. Lodge, Michael Renardy, John A. Nohel
  • eBook ISBN: 9781483263359

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Description

Viscoelasticity and Rheology covers the proceedings of a symposium by the same title, conducted by the Mathematics Research Center held at the University of Wisconsin-Madison on October 16-18, 1984. The contributions to the symposium are divided into four broad categories, namely, experimental results, constitutive theories, mathematical analysis, and computation. This 16-chapter work begins with experimental topics, including the motion of bubbles in viscoelastic fluids, wave propagation in viscoelastic solids, flows through contractions, and cold-drawing of polymers. The next chapters covering constitutive theories explore the molecular theories for polymer solutions and melts based on statistical mechanics, the use and limitations of approximate constitutive theories, a comparison of constitutive laws based on various molecular theories, network theories and some of their advantages in relation to experiments, and models for viscoplasticity. These topics are followed by discussions of the existence, regularity, and development of singularities, change of type, interface problems in viscoelasticity, existence for initial value problems and steady flows, and propagation and development of singularities. The remaining chapters deal with the numerical simulation of flow between eccentric cylinders, flow around spheres and bubbles, the hole pressure problem, and a review of computational problems related to various constitutive laws. This book will prove useful to chemical engineers, researchers, and students.

Table of Contents


  • Contributors

    Preface

    The Motion of Viscoelastic Fluids Around Spheres and Bubbles

    Wave Propagation in Viscoelastic Solids

    Overview of Macroscopic Viscoelastic Flow

    Necking Phenomena and Cold Drawing

    Polymeric Liquids: From Molecular Models to Constitutive Equations

    On Slow-Flow Approximations to Fluids with Fading Memory

    A Comparison of Molecular and Network-Constitutive Theories for Polymer Fluids

    On Using Rubber as a Guide for Understanding Polymeric Liquid Behavior

    On Viscoplastic Models

    Dissipation in Materials with Memory

    Hyperbolic Phenomena in the Flow of Viscoelastic Fluids

    Absorbing Boundaries for Viscoelasticity

    Recent Developments and Open Problems in the Mathematical Theory of Viscoelasticity

    Evaluation of Constitutive Equations: Material Functions and Complex Flows of Viscoelastic Fluids

    Finite Element Methods for Viscoelastic Flow

    Constitutive Equations for the Computing Person

    Index

Product details

  • No. of pages: 456
  • Language: English
  • Copyright: © Academic Press 1985
  • Published: November 12, 1985
  • Imprint: Academic Press
  • eBook ISBN: 9781483263359

About the Editors

Arthur S. Lodge

Michael Renardy

John A. Nohel

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