Limited Offer
Modern Developments in the Mechanics of Continua
- 1st Edition - November 14, 2012
- Editor: Salamon Eskinazi
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 4 3 3 6 7 8 - 0
- eBook ISBN:9 7 8 - 0 - 3 2 3 - 1 5 9 9 5 - 1
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… Read more
Purchase options
Institutional subscription on ScienceDirect
Request a sales quoteModern 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.
List of Contributors
Preface
Thermodynamics of Deformation
Text
An Alternative to the Continuum—The Aggregate as a Geometrical Basis for the Deformation Tensor and for Theories of Liquids
1. Introduction
2. The General Aggregate
3. "Inherent" and "Flow" Deformation of an Aggregate
4. Conclusions
References
Shear Wave Propagation in Birefringent Viscoelastic Liquids of Low Rigidity and Low Viscosity
1. Introduction
2. Propagation Equations
3. Experimental Apparatus
4. Theoretical Model for a Suspension of Rigid Ellipsoidal Particles
5. Experimental Measurements
6. Conclusion
References
The Critical Wall Shear Stress for Reduction of Turbulent Drag in Pipe Flow
1. Introduction
2. Previous Investigations
3. The Onset of Drag Reduction
4. The Onset of Drag Reduction Hypothesis
5. Experimental Materials and Apparatus
6. Data
7. Discussion of Results
8. Summary
Appendix: Scaling Rules for the Dissipation Wavenumber, Kd
Nomenclature
References
Properties of a Class of Constitutive Equations Stated in a Nontrivial Implicit Form
1. Introduction
2. Formulation
3. Reduction to Component Form
4. Properties of the Non-diagonal Solutions
5. A Special Case
6. Characteristic Surfaces for the Medium
7. Conclusions
References
Cosserat Continua
1. Introduction
2. Cosserat Continua
3. Dipolar Media
References
Stability of Couette Flow of Second-Order Fluids between Two Coaxial Circular Cylinders
1. Introduction
2. Equations
3. Solution
4. Conclusion
References
Approximate Constitutive Equations
1. Introduction
2. Wide-Range and Narrow-Range Descriptions
3. One-Dimensional Shearing Motions
4. Materials with Memory
5. Materials with Fading Memory
6. Viscoelastic Fluids
7. Small Motions
8. Short Motions
9. Slow Motions
10. Orders of Approximation in Slow Motion
11. Analytic Continuation
12. Small Motions Superposed on Stress-Relaxation at Constant Deformation
13. Small Motions Superposed on Steady Shearing Motion
14. Some Remarks on Perturbation Methods
15. Conclusion
References
Remarks on Compatibility
1. Introduction
2. Kinematic Concepts and Notation
3. Other Forms of Compatibility
4. Deformations with Constant Strain Invariants
5. Equilibrium: Elastic, Incompressible, Isotropic Material
References
A Representative Theorem for the Constitutive Equation of Simple Material in Motions with Constant Stretch History
Text
References
The Problem of a Jet against the Ground. Rheological Solution in the Hodograph Plane
Text
References
Some Interpretations of the Toms Effect
1. Introduction
2. Virk's Hypothesis
3. A Molecular Viscoelasticity Hypothesis
4. Comparison with Experiment
5. A Molecular Entanglement Hypothesis
6. A Shear-Layer Modification Hypothesis
7. Conclusions
References
Acceleration Waves in Nonlinear Materials
1. Introduction
2. Preliminary Definitions
3. Waves in Elastic Materials
4. Waves in Linearly Viscoelastic Materials
5. Waves in Simple Materials with Memory
References
The Speed of Propagation of Signals in Viscoelastic Materials
1. Introduction
2. Notation
3. Statement of the Problem
References
On an Isothermal Flow Function for a Heterogeneous Medium
1. Introduction
2. Physical Constants and Microstress-Strain Relations
3. Formulation of the Flow Function of a Heterogeneous Medium
4. Experimental Considerations
References
Mass Transfer into Non-Newtonian Fluids
1. Introduction
2. Theory
3. Experimental Apparatus
4. Experimental Procedure
5. Experimental Results
6. Discussion
7. Summary and Conclusions
References
Index
- No. of pages: 216
- Language: English
- Edition: 1
- Published: November 14, 2012
- Imprint: Academic Press
- Paperback ISBN: 9780124336780
- eBook ISBN: 9780323159951