Restorable adhesion and friction

Michel Raous (1) , Mathieu Schryve (1) , Marius Cocou (1)

1 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]

We gave in [11] and in [12] a model coupling adhesion to friction and unilateral contact, the RCCM model (Raous-Cangemi-Cocou-Monerie). In that model the loss of adhesion is non reversible. It has been used mainly for composite materials (ductile cracks, matrix/fiber interfaces, ...) and also for metal/concrete interfaces for reinforced concrete [8][13]. It is based on the notion of intensity of adhesion introduced by Fr´emond [4][5]. In the cases previously considered, adhesion can only decrease, which means that once the adhesion is partially or totally broken, it can not be regenerated. In order to deal as well with surface forces (for example van der Waals forces for rubber or polyurethane contact with glass) as with recoverable adhesion (for example self-adhesive tape that can be used several times), a new class of models is presented where the intensity of adhesion may increase after having decreased. Convenient thermodynamic potentials are chosen and a new form of the differential equation controlling the evolution of the intensity of adhesion  is obtained. Because of the non differentiability of these potentials, the state and the complementary laws are written under the form of differential inclusions. These pseudo-potentials include non convex parts. Variational inequalities are used to formulate either the quasi-static or the dynamic problems. The numerical methods previously developed by our group of Contact Mechanics at the LMA are here extended in order to compute the solutions of problems based on the present model. The interface behavior corresponding to the new model is illustrated on numerical examples both for totally reversible adhesion and for partial recoverable adhesion i.e. for healing joining.

Domaines: Mécanique des structures [physics.class-ph]; Mécanique des structures [physics.class-ph]

Michel Raous, Mathieu Schryve, Marius Cocou. Restorable adhesion and friction. Nonsmooth/Nonconvex Mechanics with applications in Engineering, ZITI Publisher, pp.165-172, 2006, ISBN 960-243-623-9. ⟨hal-00476784⟩