Mechanics of Fretting and Fretting Fatigue

1 Some Fundamentals

1.1 Fretting in Practice

1.3 Friction

1.4 Contact Requirements

1.6 Methods of Solution

1.7 Shakedown

2 Plane Elasticity and Half-Plane Contacts

2.2 Integral Equation Formulation

2.3 Solution

2.3.2 Cauchy Equations of the Second Kind

2.3.3 Numerical Solutions

2.4.1 Normal Loading Problem

2.4.2 Application of a Shear Force

2.4.4 Application of a Moment

2.5 Solutions Based on Dislocations

3 Williams' Solution

3.1 Introduction

3.2 Antiplane Loading

3.3 General Loading

3.4 Crack Tip and Incomplete Contact Edge Solution

3.5 Bonded Wedges

3.6 Sliding Wedges

4 Half Plane Partial Slip Contact Problems

4.1 Introduction

4.3 The Sequence of Loading

4.3.1 Sequential Loading (Constant Normal Load)

4.3.2 Proportional Loading

4.3.3 Two-Stage Proportional Loading

4.3.4 Application to a Hertzian Geometry

4.4 The Effect of Differential Bulk Tension

4.4.1 Tangential Load and Moderate Differential Bulk Tension

4.4.2 Bulk Tension Dominated Partial Slip Problems

4.5 Periodic Loading

4.6 More General Loading Scenarios

4.7 General Cyclic Proportional Loading

4.7.1 The Permanent Stick Zone

4.7.2 Mapping between the Normal and Tangential Problems

4.7.3 Example - Tilted Wedge

4.8 Partial Slip Solutions Based on Dislocations

4.8.1 Glide Dislocation Solutions

4.8.2 Example Problem - Cattaneo-Mindlin Problem

4.8.3 Large Bulk Tension Problems

4.9 Antiplane Loading

5 Complete Contacts and their Behaviour

5.1 General Frictional Response - square contacting element

5.3 Cracks at Contact Edges

5.4 References

6 Representation of Half-plane Contact Edge Behaviour by Asymptotes

6.1 Introduction

6.2 Basic Solution

6.3 Partial Slip: constant normal load

6.4 Partial Slip: varying normal load .

6.5 References

7 Crack Propagation, Nucleation and Nucleation Modelling

7.1 Introduction

7.2 Notch and Critical Distance Methods

7.4 Short Crack Methods

7.5 Wear and Corrosion

8 Experiments to Measure Fretting Fatigue Strength

8.1 Fundamental and Historic Considerations

8.2 Single Actuator Experimental Apparatus

8.4 Further Developments

8.5 Concluding Remarks