Modern Developments in the Mechanics of Continua

Salamon Eskinazi

• Publisher: Academic Press
• Year: 2012
• Print ISBN:
  9780123956361
• eBook ISBN:
  9780323159951
• Topic: Technology & Engineering
• Subtopic: Fluid Mechanics
• Index: Technology & Engineering

Modern Developments in the Mechanics of Continua presents the proceedings of the International Conference on Rheology, held in Pinebrook, New York, on August 23–27, 1965. This book promotes the national and international interest in mechanics of continua. Comprised of 16 chapters, this compilation of papers starts with an overview of the fundamental aspects of thermodynamics. This text then examines the divergence between the molecular theory of liquids and continuum mechanics. Other chapters explore the theory of the activation volume of liquids and the potential applications in rheology. This book discusses as well the characteristics of shear wave propagation, which are related to the viscoelastic properties of the supporting medium. The final chapter deals with the study of diffusion of benzoic acid at constant temperature into kaolinite slurries of changing concentrations. This book is a valuable resource for physicists, biophysicists, mathematicians, and engineers interested in the mechanics of continua.

Table of contents

• Front Cover
• Modern Developments in the Mechanics of Continua
• Copyright Page
• Table of Contents
• List of Contributors
• Preface
• Chapter 1. Thermodynamics of Deformation
• Chapter 2. An Alternative to the Continuum—the Aggregate as a Geometrical Basis for the Deformation Tensor and for Theories of Liquids
• Chapter 3. Shear Wave Propagation in Birefringent Viscoelastic Liquids of Low Rigidity and Low Viscosity
• Chapter 4. The Critical Wall Shear Stress for Reduction of Turbulent Drag in Pipe Flow
• Chapter 5. Properties of a Class of Constitutive Equations Stated in a Nontrivial Implicit Form
• Chapter 6. Cosserat Continua
• Chapter 7. Stability of Couette Flow of Second-Order Fluids between Two Coaxial Circular Cylinders
• Chapter 8. Approximate Constitutive Equations
• Chapter 9. Remarks on Compatibility
• Chapter 10. A Representative Theorem for the Constitutive Equation of Simple Material in Motions with Constant Stretch History
• Chapter 11. The Problem of a Jet against the Ground Rheological Solution in the Hodograph Plane
• Chapter 12. Some Interpretations of the Toms Effect
• Chapter 13. Acceleration Waves in Nonlinear Materials
• Chapter 14. The Speed of Propagation of Signals in Viscoelastic Materials
• Chapter 15. On an Isothermal Flow Function for a Heterogeneous Medium
• Chapter 16. Mass Transfer into Non-Newtonian Fluids
• Index