Viscoelasticity and Rheology - 1st Edition - ISBN: 9780124549401, 9781483263359

Viscoelasticity and Rheology

1st Edition

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

Editors: Arthur S. Lodge Michael Renardy John A. Nohel
eBook ISBN: 9781483263359
Imprint: Academic Press
Published Date: 12th November 1985
Page Count: 456
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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

Details

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

About the Editor

Arthur S. Lodge

Michael Renardy

John A. Nohel