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The Nile on eBay FREE SHIPPING UK WIDE Nonlinear Polymer Rheology by Shi-Qing Wang Integrating latest research results and characterization techniques, this book helps readers understand and apply foundational principles of nonlinear polymer rheology. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description Integrating latest research results and characterization techniques, this book helps readers understand and apply fundamental principles in nonlinear polymer rheology. The author connects the basic theoretical framework with practical polymer processing, which aids practicing scientists and engineers to go beyond the existing knowledge and explore new applications. Although it is not written as a textbook, the content can be used in an upper undergraduate and first year graduate course on polymer rheology. • Describes the emerging phenomena and associated conceptual understanding in the field of nonlinear polymer rheology • Incorporates details on latest experimental discoveries and provides new methodology for research in polymer rheology • Integrates latest research results and new characterization techniques like particle tracking velocimetric method • Focuses on the issues concerning the conceptual and phenomenological foundations for polymer rheology • Has a companion website for readers to access with videos complementing the content within several chapters Back Cover Polymers are long string-like molecules. At high molecular weights, the long molecules are heavily intertwined, leading to unique viscoelastic behavior due to chain entanglement. Under large deformation, entangled polymers show a rich variety of nonlinear rheological responses including strain localization. Nonlinear Polymer Rheology offers new, significant insights to students and research professionals. All aspects of nonlinear polymer rheology are described within one common framework. The author explains why yielding, i.e., the transition from elastic response to irreversible deformation (flow), always takes place when entangled polymeric liquids are subjected to a variety of different forms of large deformation. Integrating latest research results and characterization techniques, Nonlinear Polymer Rheology helps readers understand and apply basic principles of nonlinear polymer rheology. The book connects the theoretical framework with practical polymer processing, aiding practicing scientists and engineers to go beyond existing knowledge and explore innovative applications. Flap Polymers are long string-like molecules. At high molecular weights, the long molecules are heavily intertwined, leading to unique viscoelastic behavior due to chain entanglement. Under large deformation, entangled polymers show a rich variety of nonlinear rheological responses including strain localization. Nonlinear Polymer Rheology offers new, significant insights to students and research professionals. All aspects of nonlinear polymer rheology are described within one common framework. The author explains why yielding, i.e., the transition from elastic response to irreversible deformation (flow), always takes place when entangled polymeric liquids are subjected to a variety of different forms of large deformation. Integrating latest research results and characterization techniques, Nonlinear Polymer Rheology helps readers understand and apply basic principles of nonlinear polymer rheology. The book connects the theoretical framework with practical polymer processing, aiding practicing scientists and engineers to go beyond existing knowledge and explore innovative applications. Author Biography SHI-QING WANG, PhD, is Kumho Professor of Polymer Science at the University of Akron. He has been teaching at the university level for more than 28 years and has over 150 peer reviewed publications. Dr. Wang is a reviewer for many journals and a Fellow of both the American Physical Society (APS) and American Association for the Advancement of Science (AAAS). Table of Contents Preface xv Acknowledgments xix Introduction xxi About the Companion Website xxxi Part I Linear Viscoelasticity and Experimental Methods 1 1 Phenomenological Description of Linear Viscoelasticity 3 1.1 Basic Modes of Deformation 3 1.1.1 Startup shear 4 1.1.2 Step Strain and Shear Cessation from Steady State 5 1.1.3 Dynamic or Oscillatory Shear 5 1.2 Linear Responses 5 1.2.1 Elastic Hookean Solids 6 1.2.2 Viscous Newtonian Liquids 6 1.2.3 Viscoelastic Responses 7 1.2.3.1 Boltzmann Superposition Principle for Linear Response 7 1.2.3.2 General Material Functions in Oscillatory Shear 8 1.2.3.3 Stress Relaxation from Step Strain or Steady-State Shear 8 1.2.4 Maxwell Model for Viscoelastic Liquids 8 1.2.4.1 Stress Relaxation from Step Strain 9 1.2.4.2 Startup Deformation 10 1.2.4.3 Oscillatory (Dynamic) Shear 11 1.2.5 General Features of Viscoelastic Liquids 12 1.2.5.1 Generalized Maxwell Model 12 1.2.5.2 Lack of Linear Response in Small Step Strain: A Dilemma 13 1.2.6 Kelvin–Voigt Model for Viscoelastic Solids 14 1.2.6.1 Creep Experiment 15 1.2.6.2 Strain Recovery in Stress-Free State 15 1.2.7 Weissenberg Number and Yielding during Linear Response 16 1.3 Classical Rubber Elasticity Theory 17 1.3.1 Chain Conformational Entropy and Elastic Force 17 1.3.2 Network Elasticity and Stress–Strain Relation 18 1.3.3 Alternative Expression in terms of Retraction Force and Areal Strand Density 20 References 21 2 Molecular Characterization in Linear Viscoelastic Regime 23 2.1 Dilute Limit 23 2.1.1 Viscosity of Einstein Suspensions 23 2.1.2 Kirkwood–Riseman Model 24 2.1.3 Zimm Model 24 2.1.4 Rouse Bead-Spring Model 25 2.1.4.1 Stokes Law of Frictional Force of a Solid Sphere (Bead) 26 2.1.4.2 Brownian Motion and Stokes–Einstein Formula for Solid Particles 26 2.1.4.3 Equations of Motion and Rouse Relaxation Time τR27 2.1.4.4 Rouse Dynamics for Unentangled Melts 28 2.1.5 Relationship between Diffusion and Relaxation Time 29 2.2 Entangled State 30 2.2.1 Phenomenological Evidence of chain Entanglement 30 2.2.1.1 Elastic Recovery Phenomenon 30 2.2.1.2 Rubbery Plateau in Creep Compliance 31 2.2.1.3 Stress Relaxation 32 2.2.1.4 Elastic Plateau in Storage Modulus G' 32 2.2.2 Transient Network Models 34 2.2.3 Models Depicting Onset of Chain Entanglement 35 2.2.3.1 Packing Model 35 2.2.3.2 Percolation Model 38 2.3 Molecular-Level Descriptions of Entanglement Dynamics 39 2.3.1 Reptation Idea of de Gennes 39 2.3.2 Tube Model of Doi and Edwards 41 2.3.3 Polymer-Mode-Coupling Theory of Schweizer 43 2.3.4 Self-diffusion Constant versus Zero-shear Viscosity 44 2.3.5 Entangled Solutions 46 2.4 Temperature Dependence 47 2.4.1 Time–Temperature Equivalence 47 2.4.2 Thermo-rheological Complexity 48 2.4.3 Segmental Friction and Terminal Relaxation Dynamics 49 References 50 3 Experimental Methods 55 3.1 Shear Rheometry 55 3.1.1 Shear by Linear Displacement 55 3.1.2 Shear in Rotational Device 56 3.1.2.1 Cone-Plate Assembly 56 3.1.2.2 Parallel Disks 57 3.1.2.3 Circular Couette Apparatus 58 3.1.3 Pressure-Driven Apparatus 59 3.1.3.1 Capillary Die 60 3.1.3.2 Channel Slit 61 3.2 Extensional Rheometry 63 3.2.1 Basic Definitions of Strain and Stress 63 3.2.2 Three Types of Devices 64 3.2.2.1 Instron Stretcher 64 3.2.2.2 Meissner-Like Sentmanat Extensional Rheometer 65 3.2.2.3 Filament Stretching Rheometer 65 3.3 In Situ Rheostructural Methods 66 3.3.1 Flow Birefringence 66 3.3.1.1 Stress Optical Rule 67 3.3.1.2 Breakdown of Stress-Optical Rule 68 3.3.2 Scattering (X-Ray, Light, Neutron) 69 3.3.3 Spectroscopy (NMR, Fluorescence, IR, Raman, Dielectric) 69 3.3.4 Microrheology and Microscopic Force Probes 69 3.4 Advanced Rheometric Methods 69 3.4.1 Superposition of Small-Amplitude Oscillatory Shear and Small Step Strain during Steady Continuous Shear 69 3.4.2 Rate or Stress Switching Multistep Platform 70 3.5 Conclusion 70 References 71 4 Characterization of Deformation Field Using Different Methods 75 4.1 Basic Features in Simple Shear 75 4.1.1 Working Principle for Strain-Controlled Rheometry: Homogeneous Shear 75 4.1.2 Stress-Controlled Shear 76 4.2 Yield Stress in Bingham-Type (Yield-Stress) Fluids 77 4.3 Cases of Homogeneous Shear 79 4.4 Particle-Tracking Velocimetry (PTV) 79 4.4.1 Simple Shear 80 4.4.1.1 Velocities in XZ-Plane 80 4.4.1.2 Deformation Field in XY Plane 80 4.4.2 Channel Flow 82 4.4.3 Other Geometries 83 4.5 Single-Molecule Imaging Velocimetry 83 4.6 Other Visualization Methods 83 References 84 5 Improved and Other Rheometric Apparatuses 87 5.1 Linearly Displaced Cocylinder Sliding for Simple Shear 88 5.2 Cone-Partitioned Plate (CPP) for Rotational Shear 88 5.3 Other Forms of Large Deformation 91 5.3.1 Deformation at Converging Die Entry 91 5.3.2 One-Dimensional Squeezing 92 5.3.3 Planar Extension 95 5.4 Conclusion 96 References 97 Part II Yielding – Primary Nonlinear Responses to Ongoing Deformation 99 6 Wall Slip – Interfacial Chain Disentanglement 103 6.1 Basic Notions of Wall Slip in Steady Shear 104 6.1.1 Slip Velocity Vs and Navier–de Gennes Extrapolation Length b 104 6.1.2 Correction of Shear Field due to Wall Slip 105 6.1.3 Complete Slip and Maximum Value for b 106 6.2 Stick–Slip Transition in Controlled-Stress Mode 108 6.2.1 Stick–Slip Transition in Capillary Extrusion 108 6.2.1.1 Analytical Description 108 6.2.1.2 Experimental Data 109 6.2.2 Stick–Slip Transition in Simple Shear 111 6.2.3 Limiting Slip Velocity V∗s for Different Polymer Melts 113 6.2.4 Characteristics of Interfacial Slip Layer 116 6.3 Wall Slip during Startup Shear – Interfacial Yielding 116 6.3.1 Theoretical Discussions 117 6.3.2 Experimental Data 118 6.4 Relationship between Slip and Bulk Shear Deformation 120 6.4.1 Transition from Wall Slip to Bulk Nonlinear Response: Theoretical Analysis 120 6.4.2 Experimental Evidence of Stress Plateau Associated with Wall Slip 122 6.4.2.1 A Case Based on Entangled DNA Solutions 122 6.4.2.2 Entangled Polybutadiene Solutions in Small Gap Distance H∼50 μm 123 6.4.2.3 Verification of Theoretical Relation by Experiment 126 6.4.3 Influence of Shear Thinning on Slip 127 6.4.4 Gap Dependence and Independence 128 6.5 Molecular Evidence of Disentanglement during Wall Slip 131 6.6 Uncertainties in Boundary Condition 134 6.6.1 Oscillations between Entanglement and Disentanglement Under Constant Speed 134 6.6.2 Oscillations between Stick and Slip under Constant Pressure 134 6.7 Conclusion 134 References 135 7 Yielding during Startup Deformation: From Elastic Deformation to Flow 139 7.1 Yielding at Wi1 140 7.1.1 Elastic Deformation and Yielding for Wi1 149 7.2.2.2 Irrecoverable Shear at WiR Long Description Polymers are long string-like molecules. At high molecular weights, the long molecules are heavily intertwined, leading to unique viscoelastic behavior due to chain entanglement. Under large deformation, entangled polymers show a rich variety of nonlinear rheological responses including strain localization. Nonlinear Polymer Rheology offers new, significant insights to students and research professionals. All aspects of nonlinear polymer rheology are described within one common framework. The author explains why yielding, i.e., the transition from elastic response to irreversible deformation (flow), always takes place when entangled polymeric liquids are subjected to a variety of different forms of large deformation. Integrating latest research results and characterization techniques, Nonlinear Polymer Rheology helps readers understand and apply basic principles of nonlinear polymer rheology. The book connects the theoretical framework with practical polymer processing, aiding practicing scientists and engineers to go beyond existing knowledge and explore innovative applications. Details ISBN 0470946989 ISBN-10 0470946989 ISBN-13 9780470946985 Format Hardcover Media Book Pages 464 Year 2018 Publisher John Wiley & Sons Inc Short Title Nonlinear Polymer Rheology Language English Subtitle Macroscopic Phenomenology and Molecular Foundation DEWEY 541.2254 Publication Date 2018-03-13 UK Release Date 2018-03-13 Country of Publication United States AU Release Date 2018-01-19 NZ Release Date 2018-01-19 Author Shi-Qing Wang Imprint John Wiley & Sons Inc Place of Publication New York Audience Professional & Vocational US Release Date 2018-03-13 We've got this At The Nile, if you're looking for it, we've got it. 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