Preface | p. v |
Introduction | p. 1 |
Rubber in Engineering | p. 2 |
Elastomers | p. 2 |
Dynamic Application | p. 3 |
General Design Principles | p. 4 |
Thermal Expansivity, Pressure, and Swelling | p. 4 |
Specific Applications and Operating Principles | p. 5 |
Seal Life | p. 8 |
Seal Friction | p. 8 |
Acknowledgments | p. 8 |
References | p. 9 |
Materials and Compounds | p. 11 |
Introduction | p. 13 |
Elastomer Types | p. 13 |
General-Purpose Elastomers | p. 13 |
Styrene-Butadiene Rubber (SBR) | p. 13 |
Polyisoprene (NR, IR) | p. 14 |
Polybutadiene (BR) | p. 15 |
Specialty Elastomers | p. 15 |
Polychloroprene (CR) | p. 15 |
Acrylonitrile-Butadiene Rubber (NBR) | p. 16 |
Hydrogenated Nitrile Rubber (HNBR) | p. 16 |
Butyl Rubber (IIR) | p. 16 |
Ethylene-Propylene Rubber (EPR, EPDM) | p. 16 |
Silicone Rubber (MQ) | p. 17 |
Polysulfide Rubber (T) | p. 17 |
Chlorosulfonated Polyethylene (CSM) | p. 17 |
Chlorinated Polyethylene (CM) | p. 17 |
Ethylene-Methyl Acrylate Rubber (AEM) | p. 18 |
Acrylic Rubber (ACM) | p. 18 |
Fluorocarbon Rubbers (FKM) | p. 18 |
Epichlorohydrin Rubber (ECO) | p. 18 |
Urethane Rubber | p. 18 |
Compounding | p. 19 |
Vulcanization and Curing | p. 19 |
Sulfur Curing | p. 19 |
Determination of Crosslink Density | p. 21 |
Influence of Crosslink Density | p. 22 |
Other Cure Systems | p. 23 |
Reinforcement | p. 23 |
Anti-Degradants | p. 25 |
Ozone Attack | p. 25 |
Oxidation | p. 26 |
Process Aids | p. 28 |
Extenders | p. 28 |
Tackifiers | p. 29 |
Typical Rubber Compounds | p. 29 |
Bibliography | p. 33 |
Problems | p. 34 |
Answers | p. 34 |
Elasticity | p. 35 |
Introduction | p. 37 |
Elastic Properties at Small Strains | p. 37 |
Elastic Constants | p. 37 |
Relation Between Shear Modulus G and Composition | p. 40 |
Stiffness of Components | p. 42 |
Choice of Shear Modulus | p. 42 |
Shear Deformation of Bonded Blocks and Hollow Cylindrical Tubes | p. 42 |
Small Compressions or Extensions of Bonded Blocks | p. 44 |
Maximum Permitted Loads in Tension and Compression | p. 46 |
Indentation of Rubber Blocks by Rigid Indentors | p. 47 |
Protrusion of Rubber Through a Hole in a Rigid Plate | p. 49 |
Large Deformations | p. 50 |
General Theory of Large Elastic Deformations | p. 50 |
Stress-Strain Relations in Selected Cases | p. 51 |
General Relations Between Stress and Strain | p. 51 |
Simple Extension | p. 51 |
Evaluation of the Strain Energy Function W | p. 52 |
Elastic Behavior of Filled Rubber Vulcanizates | p. 54 |
Equi-Biaxial Stretching | p. 56 |
Constrained Tension (Pure Shear) | p. 57 |
Inflation of a Spherical Shell (Balloon) | p. 58 |
Inflation of a Spherical Cavity | p. 59 |
Second-Order Stresses | p. 60 |
Simple Shear | p. 60 |
Torsion | p. 62 |
Molecular Theory of Rubber Elasticity | p. 63 |
Elastic Behavior of a Single Molecular Strand | p. 63 |
Elasticity of a Molecular Network | p. 64 |
Effective Density of Network Strands | p. 66 |
The Second Term in the Strain Energy Function | p. 66 |
Concluding Remarks on Molecular Theories | p. 68 |
Acknowledgments | p. 68 |
References | p. 68 |
Problems | p. 70 |
Answers to Selected Problems | p. 70 |
Dynamic Mechanical Properties | p. 73 |
Introduction | p. 74 |
Viscoelasticity | p. 74 |
Dynamic Experiments | p. 78 |
Energy Considerations | p. 82 |
Motion of a Suspended Mass | p. 82 |
Experimental Techniques | p. 87 |
Forced Nonresonance Vibration | p. 87 |
Forced Resonance Vibration | p. 87 |
Free Vibration Methods | p. 87 |
Rebound Resilience | p. 87 |
Effect of Static and Dynamic Strain Levels | p. 88 |
Application of Dynamic Mechanical Measurements | p. 89 |
Heat Generation in Rubber Components | p. 89 |
Vibration Isolation | p. 89 |
Shock Absorbers | p. 90 |
Effects of Temperature and Frequency | p. 90 |
Thixotropic Effects in Filled Rubber Compounds | p. 94 |
Acknowledgements | p. 96 |
References | p. 96 |
Problems | p. 96 |
Answers | p. 97 |
Strength | p. 99 |
Introduction | p. 100 |
Fracture Mechanics | p. 100 |
Analysis of the Test Pieces | p. 102 |
The Strain Energy Concentration at a Crack Tip | p. 103 |
Tear Behavior | p. 104 |
Crack Growth Under Repeated Loading | p. 109 |
The Fatigue Limit and the Effect of Ozone | p. 111 |
Physical Interpretation of G[subscript 0] | p. 113 |
Effects of Type of Elastomer and Filler | p. 114 |
Effect of Oxygen | p. 114 |
Effects of Frequency and Temperature | p. 116 |
Nonrelaxing Effects | p. 116 |
Time-Dependent Failure | p. 117 |
Ozone Attack | p. 117 |
Tensile Strength | p. 121 |
Crack Growth in Shear and Compression | p. 122 |
Cavitation and Related Failures | p. 125 |
Conclusions | p. 126 |
Bibliography | p. 126 |
Problems | p. 129 |
Answers | p. 131 |
Mechanical Fatigue | p. 137 |
Introduction | p. 139 |
Application of Fracture Mechanics to Mechanical Fatigue of Rubber | p. 140 |
Initiation and Propagation of Cracks | p. 142 |
Fatigue Crack Initiation | p. 142 |
Fatigue Life and Crack Growth | p. 143 |
Fatigue Crack Propagation: The Fatigue Crack Growth Characteristic | p. 144 |
Fatigue Life Determinations from the Crack Growth Characteristics | p. 146 |
Fatigue Crack Growth Test Methodology | p. 148 |
Experimental Determination of Dynamic Tearing Energies for Fatigue Fatigue Crack Propagation | p. 148 |
Kinetics of Crack Growth | p. 149 |
Effects of Test Variables on Fatigue Crack Growth Characteristics and Dynamic Fatigue Life | p. 150 |
Waveform | p. 150 |
Frequency | p. 150 |
Temperature | p. 150 |
Static Strain/Stress | p. 152 |
Material Variables and Their Effect on Fatigue Crack Growth | p. 154 |
Reinforcing Fillers and Compound Modulus | p. 154 |
Elastomer Type | p. 156 |
Vulcanizing System | p. 157 |
Fatigue and Crack Growth of Rubber under Biaxial Stresses | p. 158 |
Fatigue in Rubber Composites | p. 159 |
Effect of Wires, Cords, and Their Spacing on Fatigue Crack Propagation | p. 160 |
Effect of Minimum Strain or Stress | p. 160 |
Comparison of S-N Curve and Fatigue Crack Propagation Constants for Rubber-Wire Composites | p. 163 |
Fatigue of Two-Ply Rubber-Cord Laminates | p. 164 |
Fatigue Cracking of Rubber in Compression and Shear Applications | p. 165 |
Crack Growth in Compression | p. 165 |
Crack Growth in Shear | p. 167 |
Environmental Effects | p. 168 |
Modeling and Life Predictions of Elastomeric Components | p. 169 |
Fatigue Crack Propagation in Thermoplastic Elastomers | p. 170 |
Durability of Thermoplastic Elastomers | p. 170 |
Summary | p. 172 |
Acknowledgments | p. 173 |
References | p. 173 |
Problems | p. 174 |
Answers | p. 175 |
Durability | p. 177 |
Introduction | p. 179 |
Creep, Stress Relaxation, and Set | p. 180 |
Creep | p. 181 |
Stress Relaxation | p. 181 |
Physical Relaxation | p. 182 |
Chemical Relaxation | p. 183 |
Compression Set and Recovery | p. 184 |
Case Study | p. 185 |
Longevity of Elastomers in Air | p. 186 |
Durability at Ambient Temperatures | p. 186 |
Sunlight and Weathering | p. 186 |
Ozone Cracking | p. 187 |
Structural Bearings: Case Studies | p. 187 |
Natural Rubber Pads on a Rail Viaduct after 100 years of Service | p. 187 |
Laminated Bridge Bearings after 20 Years of Service | p. 189 |
Effect of Low Temperatures | p. 192 |
Glass Transition | p. 192 |
Crystallization | p. 192 |
Reversibility of Low Temperature Effects | p. 193 |
Effect of Elevated Temperatures | p. 193 |
Effect of Fluid Environments | p. 195 |
Aqueous Liquids | p. 199 |
Hydrocarbon Liquids | p. 201 |
Hydrocarbon and Other Gases | p. 203 |
Effects of Temperature and Chemical Attack | p. 207 |
Effect of Radiation | p. 209 |
Durability of Rubber-Metal Bonds | p. 209 |
Adhesion Tests | p. 210 |
Rubber-Metal Adhesive Systems | p. 211 |
Durability in Salt Water: Role of Electrochemical Potentials | p. 212 |
Life Prediction Methodology | p. 214 |
Acknowledgement | p. 217 |
References | p. 217 |
Problems | p. 218 |
Answers | p. 220 |
Design of Components | p. 223 |
Introduction | p. 224 |
Shear and Compression Bearings | p. 226 |
Planar Sandwich Forms | p. 226 |
Problem | p. 230 |
Laminate Bearings | p. 231 |
Problem | p. 231 |
Tube Form Bearings and Mountings | p. 233 |
Problem | p. 233 |
Problem | p. 236 |
Effective Shape Factors | p. 237 |
Vibration and Noise Control | p. 238 |
Vibration Background Information | p. 239 |
Design Requirements | p. 241 |
Sample Problems | p. 241 |
Problem | p. 241 |
Problem | p. 245 |
Problem | p. 246 |
Practical Design Guidelines | p. 249 |
Summary and Acknowledgments | p. 250 |
Nomenclature | p. 251 |
References | p. 251 |
Problems for Chapter 8 | p. 252 |
Solutions for Problems for Chapter 8 | p. 253 |
Finite Element Analysis | p. 257 |
Introduction | p. 259 |
Material Specification | p. 260 |
Metal | p. 260 |
Elastomers | p. 260 |
Linear | p. 260 |
Non-Linear | p. 265 |
Elastomer Material Model Correlation | p. 274 |
ASTM 412 Tensile Correlation | p. 274 |
Pure Shear Correlation | p. 274 |
Bi-Axial Correlation | p. 275 |
Simple Shear Correlation | p. 276 |
Terminology and Verification | p. 276 |
Terminology | p. 276 |
Types of FEA Models | p. 277 |
Model Building | p. 278 |
Modeling Hints for Non-Linear FEA | p. 278 |
Boundary Conditions | p. 279 |
Solution | p. 280 |
Tangent Stiffness | p. 280 |
Newton-Raphson | p. 281 |
Non-Linear Material Behavior | p. 281 |
Visco-Elasticity (See Chapter 4) | p. 281 |
Model Verification | p. 282 |
Results | p. 282 |
Linear Verification | p. 283 |
Classical Verification - Non-Linear | p. 283 |
Example Applications | p. 287 |
Positive Drive Timing Belt | p. 287 |
Dock Fender | p. 288 |
Rubber Boot | p. 289 |
Bumper Design | p. 291 |
Laminated Bearing | p. 293 |
Down Hole Packer | p. 297 |
Bonded Sandwich Mount | p. 297 |
O-Ring | p. 299 |
Elastomer Hose Model | p. 301 |
Sample Belt | p. 301 |
References | p. 304 |
Tests and Specifications | p. 307 |
Introduction | p. 309 |
Standard Test Methods | p. 309 |
Purpose of Testing | p. 309 |
Test Piece Preparation | p. 310 |
Time Between Vulcanization and Testing | p. 310 |
Scope of This Chapter | p. 310 |
Measurement of Design Parameters | p. 311 |
Young's Modulus | p. 311 |
Shear Modulus | p. 313 |
Creep and Stress Relaxation | p. 315 |
Creep | p. 316 |
Stress Relaxation | p. 316 |
Quality Control Tests | p. 317 |
Hardness | p. 317 |
Durometer | p. 317 |
International Rubber Hardness | p. 318 |
Tensile Properties | p. 319 |
Compression Set | p. 321 |
Accelerated Aging | p. 322 |
Aging in an Air Oven | p. 322 |
Ozone Cracking | p. 323 |
Liquid Resistance | p. 324 |
Factors in Swelling | p. 325 |
Swelling Tests | p. 325 |
Adhesion to Rigid Substrates | p. 325 |
Processability | p. 327 |
Dynamic Properties | p. 328 |
Resilience | p. 330 |
Yerzley Oscillograph | p. 331 |
Resonant Beam | p. 332 |
Servohydraulic Testers | p. 333 |
Electrodynamic Testers | p. 334 |
Preferred Test Conditions | p. 335 |
Tests for Tires | p. 335 |
Bead Unseating Resistance | p. 336 |
Tire Strength | p. 336 |
Tire Endurance | p. 338 |
High Speed Performance | p. 338 |
Specifications | p. 338 |
Classification System | p. 339 |
Type | p. 339 |
Class | p. 340 |
Further Description | p. 341 |
Tolerances | p. 342 |
Molded Products | p. 342 |
Extruded Products | p. 344 |
Load-Deflection Characteristics | p. 345 |
Rubber Bridge Bearings | p. 345 |
Function | p. 345 |
Design Code | p. 346 |
Materials Specification | p. 347 |
Pipe Sealing Rings | p. 348 |
Function | p. 348 |
Materials | p. 349 |
Tensile Properties | p. 349 |
Compression Set | p. 349 |
Low Temperature Flexibility | p. 350 |
Oven Aging | p. 350 |
Oil Resistance | p. 350 |
Closing Remarks | p. 351 |
References | p. 351 |
Problems | p. 353 |
Answers | p. 354 |
Tables of Physical Constants | p. 357 |
Index | p. 361 |
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