Mixed Lubrication in Hydrodynamic Bearings

This Series provides the necessary elements to the development and validation of numerical prediction models for hydrodynamic bearings. This book is dedicated to the mixed lubrication.

Nomenclature xi

Chapter 1 Introduction 1

1.1 Lubrication regimes - Stribeck curve 1

1.2 Topography of rough surfaces 3

1.3 Bibliography 18

Chapter 2 Computing the Hydrodynamic Pressure 19

2.1 Patir and Cheng stochastic model 20

2.2 Model based on a direct computation of the flow factors 34

2.3 Homogenization method 66

2.4 Comparison between the flow factors obtained with Patir and Cheng computation and homogenization models 87

2.5 Example of pressure profiles obtained from flow factors calculated with Patir and Cheng, direct computation and homogenization models 90

2.6 Comparison with deterministic computations 94

2.7 Bibliography 99

Chapter 3 Computing the Contact Pressure 103

3.1 Concept of sum surface 104

3.2 Elastic contact model proposed by Greenwood and Williamson 105

3.3 Elasto-plastic contact model proposed by Robbe-Valloire el al 108

3.4 Elasto-plastic double-layer contact model proposed by Progri et al 115

3.5 Model based discrete Fourier transformation 119

3.6 Deterministic model based on finite elements 124

3.7 Using the contact models 128

3.8 Influence of the roughness deformation generated by the contact pressure on the flow factors 149

3.9 Using the contact models in an industrial context 151

3.10 Bibliography 153

Chapter 4 Wear 155

4.1 General concepts about wear 156

4.2 Running-in 163

4.3 Experimental determination of the Archard coefficient 165

4.4 Numerical modeling of the wear 168

4.5 Bibliography 182

Index 183

Dominique Bonneau is Professor Emeritus specializing in the numerical modelization of lubrication problems who has worked as a teacher-researcher at the IUT of Angoulême and at the Institute PPRIME (Laboratory of Mechanics of Solids) of the University of Poitiers-CNRS-ENSMA in France.

Aurelian Fatu is Professor and a researcher at the Institute PPRIME specializing in the modeling of problems of lubrication for engine bearings and for systems' sealing devices.

Dominique Souchet specializes in the modeling of thermo-hydrodynamic lubrication of journal and thrust bearings with Newtonian or non-Newtonian fluids. He is a university lecturer and researcher at the Institute PPRIME.