In this paper a general framework for topology optimization of structures in unilateral contact is developed. A linear elastic structure that is unilaterally constrained by rigid supports is considered. The supports are modeled by Signorini’s contact conditions which in turn are treated by the augmented Lagrangian approach as well as by a smooth approximation. The latter approximation must not ...

We formulate two problems of optimal design for mechanical structures in unilatéral contact the truss topology problem and the matenal design problem for elastic bodies In both cases we consider gênerai multi-load formulations, wherefor each load-case we may have different set of contact constraints (ngid obstacles) We show that both problems (after discretizatwn of the latter one) can be rewri...

We propose a simple adaptation to the Tresca friction case of the Nitsche-based finite element method given in [Chouly-Hild, 2012, Chouly-Hild-Renard, 2013 ] for frictionless unilateral contact. Both cases of unilateral and bilateral contact with friction are taken into account, with emphasis on frictional unilateral contact for the numerical analysis. We manage to prove theoretically the fully...