Viscoelasticity and Rheology

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.

Contenu

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