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Microscopic design and optimization of hydrodynamically lubricated dissipative interfaces
Author(s) -
Çakal Berkay Alp,
Temizer İlker,
Terada Kenjiro,
Kato Junji
Publication year - 2019
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.6129
Subject(s) - homogenization (climate) , topology optimization , dissipative system , dissipation , shape optimization , computer science , topology (electrical circuits) , mathematical optimization , mechanical engineering , mechanics , mathematics , physics , engineering , thermodynamics , finite element method , biodiversity , ecology , combinatorics , biology
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.