Journal
SIAM JOURNAL ON NUMERICAL ANALYSIS
Volume 45, Issue 5, Pages 2012-2031Publisher
SIAM PUBLICATIONS
DOI: 10.1137/050645439
Keywords
unilateral contact; Coulomb friction; uniqueness of solution; finite elements; a priori error estimate
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The present paper is concerned with the unilateral contact model and the Coulomb friction law in linear elastostatics. We consider a mixed formulation in which the unknowns are the displacement field and the normal and tangential constraints on the contact area. The chosen finite element method involves continuous elements of degree one and continuous piecewise affine multipliers on the contact zone. A convenient discrete contact and friction condition is introduced in order to perform a convergence study. We finally obtain a first a priori error estimate under the assumptions ensuring the uniqueness of the solution to the continuous problem.
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