Rheology Fundamentals

Cover Page......Page 1
Title Page......Page 2
Copyright 1994 by ChemTec Publishing......Page 3
3 Deformation and deformation rate......Page 4
5 Rheological viscous fluids......Page 5
7 Viscoelasticity......Page 6
Subject index......Page 7
1 INTRODUCTION - RHEOLOGY: SUBJECT AND LANGUAGE......Page 8
REFERENCES......Page 15
2.1 GENERAL THEORY......Page 16
2.3 PRINCIPAL STRESSES......Page 20
2.4 INVARIANTS......Page 23
2.5 HYDROSTATIC PRESSURE AND DEVIATOR......Page 25
2.6 EQUILIBRIUM (BALANCE) EQUATIONS......Page 28
2.7 EXAMPLES......Page 31
2.8 CONCLUDING REMARKS......Page 39
2.9 REFERENCES......Page 40
3.1 DISPLACEMENTS AND DEFORMATIONS......Page 41
3.2 DEFORMATION RATE......Page 46
3.3 LARGE DEFORMATIONS......Page 48
3.4 PRINCIPAL VALUES AND INVARIANTS OF THE DEFORMATION TENSORS......Page 52
3.5 UNIAXIAL ELONGATION. POISSON RATIO......Page 54
3.6 SIMPLE SHEAR AND PURE SHEAR......Page 56
3.7 EXAMPLES......Page 60
3.8 CONCLUDING REMARKS......Page 64
3.9 REFERENCES......Page 65
4.1 MAIN RHEOLOGICAL EFFECTS......Page 68
4.2 GENERAL PRINCIPLES......Page 113
4.3 CONCLUDING REMARKS......Page 118
5.1 DEFINITIONS......Page 126
5.2 NEWTONIAN LIQUID......Page 129
5.3 NON-NEWTONIAN LIQUIDS......Page 133
5.4 VISCO-PLASTIC LIQUIDS......Page 137
5.5 SOME BASIC PROBLEMS......Page 138
5.6 CONCLUDING REMARKS......Page 190
5.7 REFERENCES......Page 192
6.1 DEFINITIONS......Page 194
6.2 HOOKEAN ELASTIC MATERIAL......Page 196
6.3 LINEAR ANISOTROPIC MATERIALS......Page 203
6.4 LARGE ELASTIC DEFORMATIONS IN SOLIDS......Page 204
6.5 LIMITS OF ELASTICITY......Page 215
6.6 SOME BASIC PROBLEMS......Page 218
6.7 CONCLUDING REMARKS......Page 248
7.1 INTRODUCTION......Page 252
7.2 DEFINITIONS......Page 255
7.3 PRINCIPLE OF SUPERPOSITION......Page 265
7.4 RELAXATION AND RETARDATION SPECTRA......Page 269
7.5 DYNAMIC AND RELAXATION PROPERTIES - CORRELATIONS......Page 275
7.6 RELATIONSHIPS BETWEEN CONSTANTS......Page 279
7.7 MECHANICAL MODELS OF VISCOELASTIC BEHAVIOR......Page 281
7.8 SUPERPOSITION......Page 288
7.9 APPLICATIONS OF LINEAR VISCOELASTICITY......Page 293
7.10 NON-LINEAR VISCOELASTICITY. INTRODUCTION......Page 301
7.11 CONCLUDING REMARKS......Page 311
7.12 REFERENCES......Page 314
NOMENCLATURE......Page 316
C......Page 324
E......Page 325
K......Page 326
N......Page 327
R......Page 328
S......Page 329
V......Page 330
Y......Page 331