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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
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