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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

Citations:

Zbl 0745.00040
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