Finite Element Approximation of Contact and Friction in Elasticity

Franz Chouly is professor at the University of Burgundy (Dijon, France). His research is focused on the numerical analysis of partial differential equations and variational inequalities, finite element methods, and applications in fluid and solid mechanics.Patrick Hild is professor at Paul Sabatier University (Toulouse, France). His research is focused on the numerical analysis of partial differential equations and variational inequalities, finite element methods, and applications in solid mechanics.Yves Renard is professor at the National Institute of Applied Sciences of Lyon (INSA Lyon, France).  His research interests include numerical methods in solid mechanics, approximation of contact and friction conditions, numerical analysis of partial differential equations, finite element based numerical modeling.

• Part. I. Basic concepts.- Chapter. 1. Introduction.- Chapter. 2. Sobolev spaces.- Chapter. 3. Signorini’s problem.- Chapter. 4. Lagrange finite elements and interpolation.- Part. II. Numerical approximation for Signorini.- Chapter. 5. Finite elements for Signorini.- Chapter. 6. Nitsche’s method.- Chapter. 7. Mixed methods.- Part. III. Extension to frictional contact and large strain.- Chapter. 8. Tresca friction.- Chapter. 9. Coulomb friction.- Chapter. 10. Contact between two elastic bodies.- Chapter. 11. Contact and self-contact in large strain.- Appendix A.- References.- Index.