## Remarks on a numerical method for unilateral contact including friction.(English)Zbl 0762.73076

Unilateral problems in structural analysis IV, Proc. 4th Meet., Capri/Italy 1989, ISNM 101, 129-144 (1991).
[For the entire collection see Zbl 0745.00040.]
We submit in this article a discretization by classical finite elements $$P_ 1$$ of the unilateral contact problem with Coulomb friction. Existence, as well as uniqueness when the value of the friction coefficient $$\mu$$ is small, has been obtained. A fixed point theorem is used to establish unicity for small $$\mu$$, therefore convergence of the successive approximation algorithm follows.

### MSC:

 74S05 Finite element methods applied to problems in solid mechanics 74A55 Theories of friction (tribology) 74M15 Contact in solid mechanics

Zbl 0745.00040