Friction and instabilities : [lectures notes of an Advanced Summer School on Friction and Instabilities, Udine, Italy, in July 3-7, 2000

The book addresses instability and bifurcation phenomena in frictional contact problems. The treatment of this subject has its roots in previous studies of instability and bifurcation in elastic, thermoelastic or elastic-plastic bodies, and in previous mathematical, mechanical and computational studies of unilateral problems. The salient feature of this book is to put together and develop concepts and tools for stability and bifurcation studies in mechanics, taking into account the inherent non-smoothness and non-associativity (non-symmetry) of unilateral frictional contact laws. The mechanical foundations, the mathematical theory and the computational algorithms for such studies are developed along six chapters written by the lecturers of a CISM course. Those concepts and tools are illustrated not only with enlightening academic examples but also with some demanding industrial applications, related, namely, to the automotive industry. Front Matter....Pages ii-vii Instability of Thermoelastic Contact....Pages 1-37 Stability and Critical Points in Large Displacement Frictionless Contact Problems....Pages 39-64 Some Notes on Friction and Instabilities....Pages 65-136 Some examples of friction-induced vibrations and instabilities....Pages 137-178 Contact Friction Models and Stability Problems....Pages 179-232 Numerical characterization and computation of dynamic instabilities for frictional contact problems....Pages 233-291