Abstract
In this paper we revisit the quasi-static rate and the quasi-static evolution problems for finite dimensional nonlinear elastic systems, in frictional contact with curved obstacles. Our objectives are: (i) to present complementarity formulations for the quasi-static rate problem; (ii) to discuss conditions for existence and uniqueness of solution for that problem; (iii) to present a differential inclusion formulation and related mathematical results for the quasi-static evolution problem; (iv) to present numerical results for a specific finite element example of (non-) uniqueness of solution for the quasi-static rate problem.Keywordsfrictionbifurcationquasi-static trajectoryrate problemcomplementarityfinite elements
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