Preface to the English Edition	8
	Preface to the German Edition	10
	Table of Contents	12
	1 Introduction	17
	1.1 Contact and Friction Phenomena and their Applications	17
	1.2 History of Contact Mechanics and the Physics of Friction	19
	1.3 Structure of the Book	23
	2 Qualitative Treatment of Contact Problems – Normal Contact without Adhesion	24
	2.1 Material Properties	25
	2.2 Simple Contact Problems	28
	2.3 Estimation Method for Contacts with a Three-Dimensional, Elastic Continuum	31
	3 Qualitative Treatment of Adhesive Contacts	39
	4 Capillary Forces	55
	4.1 Surface Tension and Contact Angles	55
	4.2 Hysteresis of Contact Angles	59
	4.3 Pressure and the Radius of Curvature	59
	4.4 Capillary Bridges	60
	4.5 Capillary Force between a Rigid Plane and a Rigid Sphere	61
	4.6 Liquids on Rough Surfaces	62
	4.7 Capillary Forces and Tribology	63
	Problems	64
	5 Rigorous Treatment of Contact Problems – Hertzian Contact	69
	5.1 Deformation of an Elastic Half-Space being Acted upon by Surface Forces	70
	5.2 Hertzian Contact Theory	73
	5.3 Contact between Two Elastic Bodies with Curved Surfaces	74
	5.4 Contact between a Rigid Cone-Shaped Indenter and an Elastic Half- Space Space Space	77
	5.5 Internal Stresses in Hertzian Contacts	78
	Problems	81
	6 Rigorous Treatment of Contact Problems – Adhesive Contact	85
	7 Contact between Rough Surfaces	94
	7.1 Model from Greenwood and Williamson	95
	7.2 Plastic Deformation of Asperities Asperities Asperities	101
	7.3 Electrical Contacts	102
	7.4 Thermal Contacts	105
	7.5 Mechanical Stiffness of Contacts	106
	7.6 Seals	106
	7.7 Roughness and Adhesion	107
	Problems Problems Problems	108
	8 Tangential Contact Problems	117
	8.1 Deformation of an Elastic Half-Space being Acted upon by Tangential Forces	118
	8.2 Deformation of an Elastic Half-Space being Acted upon by a Tangential Stress Distribution Distribution Distribution	119
	8.3 Tangential Contact Problems without Slip Slip Slip	121
	8.4 Tangential Contact Problems Accounting for Slip	122
	8.5 Absence of Slip for a Rigid Cylindrical Indenter Indenter Indenter Indenter	126
	Problems	126
	9 Rolling Contact	130
	9.1 Qualitative Discussion of the Processes in a Rolling Contact	131
	9.2 Stress Distribution in a Stationary Rolling Contact	133
	Problems	139
	10 Coulomb’s Law of Friction	144
	10.1 Introduction	144
	10.2 Static and Kinetic Friction	145
	10.3 Angle of Friction	146
	10.4 Dependence of the Coefficient of Friction on the Contact Time3	147
	10.5 Dependence of the Coefficient of Friction on the Normal Force	148
	10.6 Dependence of the Coefficient of Friction on Sliding Speed5	150
	10.7 Dependence of the Coefficient of Friction on the Surface Roughness	150
	10.8 Coulomb’s View on the Origin of the Law of Friction	151
	10.9 Theory of Bowden and Tabor	153
	10.10 Dependence of the Coefficient of Friction on Temperature	156
	Problems	157
	11 The Prandtl-Tomlinson Model for Dry Friction	166
	11.1 Introduction	166
	11.2 Basic Properties of the Prandtl-Tomlinson Model	168
	11.3 Elastic Instability	172
	11.4 Superlubricity	176
	11.5 Nanomachines: Concepts for Micro and Nano-Actuators	177
	Problems	181
	12 Frictionally Induced Vibrations	186
	12.1 Frictional Instabilities at Decreasing Dependence of the Frictional Force on the Velocity	187
	12.2 Instability in a System with Distributed Elasticity	189
	12.3 Critical Damping and Optimal Suppression of Squeal	192
	12.4 Active Suppression of Squeal	194
	12.5 Strength Aspects during Squeal	196
	12.6 Dependence of the Stability Criteria on the Stiffness of the System	197
	12.7 Sprag-Slip	202
	Problems	204
	13 Thermal Effects in Contacts	209
	13.1 Introduction	210
	13.2 Flash Temperatures in Micro-Contacts	210
	13.3 Thermo-Mechanical Instability	212
	Problems	213
	14 Lubricated Systems	216
	14.1 Flow between two parallel plates	217
	14.2 Hydrodynamic Lubrication	218
	14.3 “Viscous Adhesion”	222
	14.4 Rheology of Lubricants	225
	14.5 Boundary Layer Lubrication	227
	14.6 Elastohydrodynamics Elastohydrodynamics Elastohydrodynamics	228
	14.7 Solid Lubricants	231
	Problems	232
	15 Viscoelastic Properties of Elastomers	239
	15.1 Introduction	239
	15.2 Stress-Relaxation	240
	15.3 Complex, Frequency-Dependent Shear Moduli Moduli	242
	15.4 Properties of Complex Moduli	244
	15.5 Energy Dissipation in a Viscoelastic Material	245
	15.6 Measuring Complex Moduli	246
	15.7 Rheological Models	247
	15.8 A Simple Rheological Model for Rubber (“Standard Model”)	250
	15.9 Influence of Temperature on Rheological Properties Properties Properties	252
	15.10 Master Curves	253
	15.11 Prony Series	254
	Problems Problems	258
	16 Rubber Friction and Contact Mechanics of Rubber	262
	16.1 Friction between an Elastomer and a Rigid Rough Surface	262
	16.2 Rolling Resistance	268
	16.3 Adhesive Contact with Elastomers	270
	Problems	272
	17 Wear	278
	17.1 Introduction	278
	17.2 Abrasive Wear	279
	17.3 Adhesive Wear	282
	17.4 Conditions for Low-Wear Friction	285
	17.5 Wear as the Transportation of Material from the Friction Zone	286
	17.6 Wear of Elastomers	287
	Problems	290
	18 Friction Under the Influence of Ultrasonic Vibrations	292
	18.1 Influence of Ultrasonic Vibrations on Friction from a Macroscopic Point of View	293
	18.2 Influence of Ultrasonic Vibrations on Friction from a Microscopic Point of View	298
	18.3 Experimental Investigations of the Force of Static Friction as a Function of the Oscillation Amplitude	300
	18.4 Experimental Investigations of Kinetic Friction as a Function of Oscillation Amplitude	302
	Problems	304
	19 Numerical Simulation Methods in Friction Physics	307
	19.1 Simulation Methods for Contact and Frictional Problems: An Overview 19.1.1 Many- Body Systems	308
	19.1.2 Finite Element Methods	309
	19.1.3 Boundary Element Method	310
	19.1.4 Particle Methods	311
	19.2 Reduction of Contact Problems from Three Dimensions to One Dimension	312
	19.3 Contact in a Macroscopic Tribological System	313
	19.4 Reduction Method for a Multi-Contact Problem	317
	19.5 Dimension Reduction and Viscoelastic Properties	321
	19.6 Representation of Stress in the Reduction Model	322
	19.7 The Calculation Procedure in the Framework of the Reduction Method	323
	19.8 Adhesion, Lubrication, Cavitation, and Plastic Deformations in the Framework of the Reduction Method	324
	Problems	324
	20 Earthquakes and Friction	329
	20.1 Introduction	330
	20.2 Quantification of Earthquakes	331
	20.2.1 Gutenberg-Richter Law	332
	20.3 Laws of Friction for Rocks	333
	20.4 Stability during Sliding with Rate- and State-Dependent Friction	337
	20.5 Nucleation of Earthquakes and Post-Sliding	340
	20.6 Foreshocks and Aftershocks	343
	20.7 Continuum Mechanics of Block Media and the Structure of Faults	344
	20.8 Is it Possible to Predict Earthquakes?	348
	Problems	349
	Appendix Appendix Appendix	352
	Further Reading	356
	Figure Reference	362
	Index	364