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.


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