Table of Contents
Cover
Title Page
Copyright
Preface
References
Acknowledgments
Introduction
1 Rheology: The Definition
2. Molecular Approach of Tube Model and Continuum-Mechanical Constitutive Modeling Versus a Phenomenology-Based Treatment
3. Linear Versus Nonlinear Responses: Characterization Tool Versus Science of Rheology
4. Shear Thinning, Stress Plateau, and Yielding
5. Is There Always Homogeneous Deformation?
6. Rheology Versus Fluid Mechanics
7. Emerging Trends
8. Summary
References
About the Companion Website
Part I: Linear Viscoelasticity and Experimental Methods
Chapter 1: Phenomenological Description of Linear Viscoelasticity
1.1 Basic Modes of Deformation
1.2 Linear Responses
1.3 Classical Rubber Elasticity Theory
References
Chapter 2: Molecular Characterization in Linear Viscoelastic Regime
2.1 Dilute Limit
2.2 Entangled State
2.3 Molecular-Level Descriptions of Entanglement Dynamics
2.4 Temperature Dependence
References
Chapter 3: Experimental Methods
3.1 Shear Rheometry
3.2 Extensional Rheometry
3.3
In Situ
Rheostructural Methods
3.4 Advanced Rheometric Methods
3.5 Conclusion
References
Chapter 4: Characterization of Deformation Field Using Different Methods
4.1 Basic Features in Simple Shear
4.2 Yield Stress in Bingham-Type (Yield-Stress) Fluids
4.3 Cases of Homogeneous Shear
4.4 Particle-Tracking Velocimetry (PTV)
4.5 Single-Molecule Imaging Velocimetry
4.6 Other Visualization Methods
References
Chapter 5: Improved and Other Rheometric Apparatuses
5.1 Linearly Displaced Cocylinder Sliding for Simple Shear
5.2 Cone-Partitioned Plate (CPP) for Rotational Shear
5.3 Other Forms of Large Deformation
5.4 Conclusion
References
Part II: Yielding – Primary Nonlinear Responses to Ongoing Deformation
Chapter 6: Wall Slip – Interfacial Chain Disentanglement
6.1 Basic Notions of Wall Slip in Steady Shear
6.2 Stick–Slip Transition in Controlled-Stress Mode
6.3 Wall Slip during Startup Shear – Interfacial Yielding
6.4 Relationship between Slip and Bulk Shear Deformation
6.5 Molecular Evidence of Disentanglement during Wall Slip
6.6 Uncertainties in Boundary Condition
6.7 Conclusion
References
Chapter 7: Yielding during Startup Deformation: From Elastic Deformation to Flow
7.1 Yielding at
Wi
< 1 and Steady Shear Thinning at
Wi
> 1
7.2 Stress Overshoot in Fast Startup Shear
7.3 Nature of Steady Shear
7.4 From Terminal Flow to Fast Flow under Creep: Entanglement–Disentanglement Transition
7.5 Yielding in Startup Uniaxial Extension
7.6 Conclusion
7.A Experimental Estimates of Rouse Relaxation Time
References
Chapter 8: Strain Hardening in Extension
8.1 Conceptual Pictures
8.2 Origin of “Strain Hardening”
8.3 True Strain Hardening in Uniaxial Extension: Non-Gaussian Stretching from Finite Extensibility
8.4 Different Responses of Entanglement to Startup Extension and Shear
8.5 Conclusion
88.A Conceptual and Mathematical Accounts of Geometric Condensation
References
Chapter 9: Shear Banding in Startup and Oscillatory Shear: Particle-Tracking Velocimetry
9.1 Shear Banding After Overshoot in Startup Shear
9.2 Overcoming Wall Slip during Startup Shear
9.3 Nonlinearity and Shear Banding in Large-Amplitude Oscillatory Shear
References
Chapter 10: Strain Localization in Extrusion, Squeezing Planar Extension: PTV Observations
10.1 Capillary Rheometry in Rate-Controlled Mode
10.2 Instabilities at Die Entry
10.3 Squeezing Deformation
10.4 Planar Extension
References
Chapter 11: Strain Localization and Failure during Startup Uniaxial Extension
11.1 Tensile-Like Failure (Decohesion) at Low Rates
11.2 Shear Yielding and Necking-Like Strain Localization at High Rates
11.3 Rupture-Like Breakup: Where Are Yielding and Disentanglement?
11.4 Strain Localization Versus Steady Flow: Sentmanat Extensional Rheometry Versus Filament-Stretching Rheometry
11.5 Role of Long-Chain Branching
11.A Analogy between Capillary Rheometry and Filament-Stretching Rheometry
References
Part III: Decohesion and Elastic Yielding After Large Deformation
Chapter 12: Nonquiescent Stress Relaxation and Elastic Yielding in Stepwise Shear
12.1 Strain Softening After Large Step Strain
12.2 Particle Tracking Velocimetry Revelation of Localized Elastic Yielding
12.3 Quiescent and Uniform Elastic Yielding
12.4 Arrested Wall Slip: Elastic Yielding at Interfaces
12.5 Conclusion
References
Chapter 13: Elastic Breakup in Stepwise Uniaxial Extension
13.1 Rupture-Like Failure during Relaxation at Small Magnitude or Low Extension Rate (
Wi
R
< 1)
13.2 Shear-Yielding-Induced Failure upon Fast Large Step Extension (
Wi
R
> 1)
13.3 Nature of Elastic Breakup Probed by Infrared Thermal-Imaging Measurements
13.4 Primitive Phenomenological Explanations
13.5 Step Squeeze and Planar Extension
References
Chapter 14: Finite Cohesion and Role of Chain Architecture
14.1 Cohesive Strength of an Entanglement Network
14.2 Enhancing the Cohesion Barrier: Long-Chain Branching Hinders Structural Breakup
References
Part IV: Emerging Conceptual Framework and Beyond
Chapter 15: Homogeneous Entanglement
15.1 What Is Chain Entanglement?
15.2 When, How, and Why Disentanglement Occurs?
15.3 Criterion for Homogeneous Shear
15.4 Constitutive Nonmonotonicity
15.5 Metastable Nature of Shear Banding
References
Chapter 16: Molecular Networks as the Conceptual Foundation
16.1 Introduction: The Tube Model and its Predictions
16.2 Essential Ingredients for a New Molecular Model
16.3 Overcoming Finite Cohesion after Step Deformation: Quiescent or Not
16.4 Forced Microscopic Yielding during Startup Deformation: Stress Overshoot
16.5 Interfacial Yielding via Disentanglement
16.6 Effect of Long-Chain Branching
16.7 Decohesion in Startup Creep: Entanglement–Disentanglement Transition
16.8 Emerging Microscopic Theory of Sussman and Schweizer
16.9 Further Tests to Reveal the Nature of Responses to Large Deformation
16.10 Conclusion
References
Chapter 17: “Anomalous” Phenomena
17.1 Essence of Rheometric Measurements: Isothermal Condition
17.2 Internal Energy Buildup with and without Non-Gaussian Extension
17.3 Breakdown of Time–Temperature Superposition (TTS) during Transient Response
17.4 Strain Hardening in Simple Shear of Some Polymer Solutions
17.5 Lack of Universal Nonlinear Responses: Solutions versus Melts
17.6 Emergence of Transient Glassy Responses
References
Chapter 18: Difficulties with Orthodox Paradigms
18.1 Tube Model Does Not Predict Key Experimental Features
18.2 Confusion About Local and Global Deformations
18.3 Molecular Network Paradigm
References
Chapter 19: Strain Localization and Fluid Mechanics of Entangled Polymers
19.1 Relationship between Wall Slip and Banding: A Rheological-State Diagram
19.2 Modeling of Entangled Polymeric Liquids by Continuum Fluid Mechanics
19.3 Challenges in Polymer Processing
References
Chapter 20: Conclusion
20.1 Theoretical Challenges
20.2 Experimental Difficulties
References
Symbols and Acronyms
Subject Index
End User License Agreement
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Guide
Cover
Table of Contents
Preface
Part I: Linear Viscoelasticity and Experimental Methods
Begin Reading