# Micro-texture design and optimization in hydrodynamic lubrication via two-scale analysis

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## Abstract

A novel computational surface engineering framework is developed to design micro-textures which can optimize the macroscopic response of hydrodynamically lubricated interfaces. All macroscopic objectives are formulated and analyzed within a homogenization-based two-scale setting and the micro-texture design is achieved through topology optimization schemes. Two non-standard aspects of this multiscale optimization problem, namely the temporal and spatial variations in the homogenized response of the micro-texture, are individually addressed. Extensive numerical investigations demonstrate the ability of the framework to deliver optimal micro-texture designs as well as the influence of major problem parameters.

## Keywords

Optimization Homogenization Two-scale analysis Texture design Lubrication## Notes

### Acknowledgements

The second author acknowledges support by the Scientific and Technological Research Council of Turkey (TÜBİTAK) under the 1001 Programme (Grant No. 114M406).

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