Materials and Surface Engineering in Tribology
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Chapter 2. Tribology ................................... 49
2.1. Introduction..................................... 49
2.2. Elements of solid mechanics........................... 50
2.2.1. The stress vector............................... 50
2.2.2. The stress tensor............................... 50
2.2.3. Yield criteria................................. 52
2.2.3.1. The Tresca criterion.......................... 52
2.2.3.2. The von Mises criterion........................ 53
2.3. Elements of contact mechanics......................... 53
2.3.1. Hertz contact theory............................. 53
2.3.2. The contact area............................... 57
2.3.3. Plastification of asperities ......................... 59
2.3.4. Adhesive contact............................... 59
2.4. Friction....................................... 62
2.4.1. The coefficient of friction ......................... 62
2.4.2. Tribometers.................................. 66
2.4.3. Laws and theories of friction........................ 68
2.5. Nanotribology................................... 71
2.5.1. Surface forces ................................ 71
2.5.1.1. Electrostatic forces........................... 71
2.5.1.2. Capillary forces............................. 71
2.5.1.3. Van der Waals forces......................... 72
2.5.2. Surface forces measurements ....................... 75
2.5.2.1. The surface forces apparatus (SFA)................. 75
2.5.2.2. The atomic force microscope (AFM)................ 76
2.5.2.3. Application: surface forces and micromanipulation ....... 79
2.5.3. Nanofriction ................................. 81
2.6. Wear......................................... 82
2.6.1. The different forms of wear........................ 83
2.6.1.1. Adhesive wear............................. 83
2.6.1.2. Abrasive wear.............................. 83
2.6.1.3. Fatigue wear .............................. 83
2.6.1.4. Tribochemical wear.......................... 83
2.6.2. Wear maps .................................. 84
2.6.3. Interface tribology: third body concept.................. 86
2.6.4. The PV product................................ 88
2.7. Lubrication..................................... 89
2.7.1. Oils....................................... 89
2.7.1.1. The notion of viscosity........................ 89
2.7.1.2. The viscosity index and the SAE standard............. 90
2.7.1.3. The Stribeck curve........................... 91
2.7.1.4. The different types of oils....................... 92