On (Non-)Existence and (Non-)Uniqueness of Solutions in Frictional Contact Problems
Questions related to existence and uniqueness of solutions to problems involving Coulomb friction have been discussed in three branches of mechanics: (i) rigid body dynamics; (ii) discrete (e.g. finite element discretized) quasi-static structural mechanics; and (iii) linear elasticity. The written part of this lecture is concerned with a linear elastic dynamic model that includes (ii) and which makes it possible to discuss findings from (i). In the oral part of the lecture results from (iii) will be reviewed.
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