Microscopic design and optimization of hydrodynamically lubricated dissipative interfaces

Abstract

Summary A homogenization‐based topology optimization framework is developed, which can endow hydrodynamically lubricated interfaces with a micro‐texture, to achieve optimal macroscopic responses by addressing both dissipative and nondissipative physics at the interface. With respect to the homogenization aspects of the problem, the thermodynamic consistency of the two‐scale formulation is explicitly analyzed and verified. With respect to the topology optimization aspects, a variational approach to sensitivity analysis is pursued. Subsequently, these are employed in micro‐texture design studies, which address microscopic and macroscopic objectives. The influence of dissipation on the optimization results is demonstrated through extensive numerical investigations, which also highlight the importance of working in a sufficiently flexible design space that can deliver nearly optimal micro‐texture geometries.

Méthodes numériques en contact micromécanique

“…• beaucoup de progrès ont été faits sur la simulation de l'interaction fluide/solide dans l'interface de contact (Lubrecht et Venner 1999, Sahlin et al 2010, Dapp et al 2012, Pérez-Ràfols et al 2016, Temizer et Stupkiewicz 2016, Shvarts et Yastrebov 2018b,a, Ager et al 2019, Alp Çakal et al 2019, Shvarts 2019, Vlȃdescu et al 2019. En revanche, le modèle fortement couplé éléments finis qui permettra de simuler la lubrification en régime mixte à l'échelle de la rugosité est toujours manquant (Vakis et al 2018).…”