Day 1

Slides

0. Foreword

1. Contact mechanics I

2. Contact and Mechanics of Materials

Lecture notes

1. Chapter 1. Contact Mechanics.

2. Chapter 2. Inelastic Contact.

Practical work

1. Integration of Flamant solution

2. Integration of Flamant solution: solution

3. Integration of Boussinesq & Cerutti

Day 2

Lectures

3. Surface Roughness

4. Contact and Sealing at Small Scales

Additional material

a. Chapter "Méthodes numériques en contact micromécanique" (in French) (roughness, friction, plasticity)

b. Chapter "Numerical Methods in Micromechanical Contact" (English translation from French) (roughness, friction, plasticity)

Practical work

3. Viscoelastic indentation

3.b Viscoelastic indentation (working script version)

4. Roughness analysis

Day 3

Lectures

5. Computational Contact

6. Lubrication and Sealing

Additional material

a. V. Yastrebov "Numerical Methods in Contact Mechanics" book

Practical work

5. Rough contact with Tamaas

6. Reynolds Equation (2D and 3D with solution)

Day 4

Lectures

7. Friction

Practical work

7. Contact in a toy-FEM with solution

Prereading

Lecture 1: Applications of Contact Mechanics

In this lecture we show a lot of applications of contact mechanics in both natural and engineering systems. The accompanying videos are not included in the pdf file, but are available on YouTube: