## Comportement asymptotique d’un corps élastique dont une surface présente de petites zones de collage. (Asymptotic behaviour of an elastic body with a surface having small sticked regions).(French)Zbl 0602.73019

We consider an elastic body, a surface of which is partially sticked to a fixed plane. The sticked regions have a diameter $$\epsilon$$ and the distance between two neighbouring zones is $$\eta$$. The asymptotically critical size is $$\epsilon \sim \eta^ 2$$. In this case the limit behaviour of the body is described by a boundary condition which is intermediate between the perfect sticking and unsticking.

### MSC:

 74S30 Other numerical methods in solid mechanics (MSC2010) 35A15 Variational methods applied to PDEs 74A55 Theories of friction (tribology) 74M15 Contact in solid mechanics

### Keywords:

limit behaviour; perfect sticking; unsticking