Introduction to Polymer Viscoelasticity

Preface to the Fourth Edition xiii
 
Preface to the Third Edition xv
 
Preface to the Second Edition xviii
 
Preface to the First Edition xx
 
1. Introduction 1
 
PROBLEMS, 6
 
GENERAL REFERENCE TEXTS, 7
 
REFERENCES, 8
 
2. Phenomenological Treatment of Viscoelasticity 9
 
A. ELASTIC MODULUS, 9
 
B. TRANSIENT EXPERIMENTS, 21
 
C. DYNAMIC EXPERIMENTS, 25
 
1. Low-Strain Measurements, 25
 
2. Large Amplitude Oscillatory Shear (LAOS), 30
 
3. Microrheology, 34
 
D. BOLTZMANN SUPERPOSITION PRINCIPLE, 38
 
E. RELATIONSHIP BETWEEN THE CREEP COMPLIANCE AND THE STRESS RELAXATION MODULUS, 43
 
F. RELATIONSHIP BETWEEN STATIC AND DYNAMIC PROPERTIES, 44
 
APPENDIX 2-1. Connecting Creep Compliance and Stress Relaxation Modulus Using Laplace Transforms, 45
 
APPENDIX 2-2. Borel's Theorem, 48
 
APPENDIX 2-3. Geometries for the Measurement of Viscoelastic Functions, 49
 
1. Linear Motion Geometries, 49
 
2. Rotational Motion Geometries, 53
 
PROBLEMS, 57
 
REFERENCES, 64
 
3. Viscoelastic Models 66
 
A. MECHANICAL ELEMENTS, 66
 
1. Maxwell Model, 68
 
2. Voigt Model, 74
 
3. Generalized Maxwell Model, 76
 
4. Voigt-Kelvin model, 79
 
B. DISTRIBUTIONS OF RELAXATION AND RETARDATION TIMES, 81
 
C. MOLECULAR THEORIES--THE ROUSE MODEL, 84
 
D. APPLICATION OF FLEXIBLE-CHAIN MODELS TO SOLUTIONS, 93
 
E. THE ZIMM MODIFICATION, 94
 
F. EXTENSION TO BULK POLYMER, 96
 
G. REPTATION, 108
 
APPENDIX 3-1: MANIPULATION OF THE ROUSE MATRIX, 112
 
PROBLEMS, 117
 
REFERENCES, 123
 
4. Time-Temperature Correspondence 125
 
A. FOUR REGIONS OF VISCOELASTIC BEHAVIOR, 125
 
B. TIME-TEMPERATURE SUPERPOSITION, 133
 
C. MASTER CURVES, 136
 
D. THE WLF EQUATION, 136
 
E. MOLECULAR INTERPRETATION OF

MONTGOMERY T. SHAW, PhD, is Emeritus Distinguished Professor of Chemical Engineering at the University of Connecticut. Among his books are the prior edition of Introduction to Polymer Viscoelasticity and Introduction to Polymer Rheology, both published by Wiley.
 
WILLIAM J. MACKNIGHT, PhD, is a Professor Emeritus at the University of Massachusetts Amherst, where he was formerly the co-Principal Investigator for the Center for UMass/Industry Research on Polymers (CUMIRP). He has been a co-author for each edition of Introduction to Polymer Viscoelasticity, all published by Wiley.