Microscopic design and optimization of hydrodynamically lubricated dissipative interfaces

Berkay Alp Çakal, İlker Temizer, Kenjiro Terada, Junji Kato

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)153-178
Number of pages26
JournalInternational Journal for Numerical Methods in Engineering
Volume120
Issue number2
DOIs
Publication statusPublished - 2019 Oct 12

Keywords

  • dissipation
  • homogenization
  • lubrication
  • optimization
  • texture design

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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