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This study presents a further development of the Borodich-Savencu (BS) model of friction [1] that combines the multiscale hierarchical representation of rough surfaces, the statistical synthesis of these surfaces, and numerical simulations. The synthesis of surface topography combines approaches based on the concept of a representative elementary pattern of roughness and extended versions of the CB profile models [2]. The simulations focus on the energy dissipation mechanisms during the sliding of elastic‐plastic solids. It is assumed that atomic‐ and nanoscale asperities exhibit rigid‐elastic behavior due to the Polonsky-Keer effect and the BS approximation of the interface potentials. The model explains the cross-scale coupling of different energy dissipation mechanisms. It is considered chemical bonding at the atomic scale, adhesion at the nanoscale, and elastic-plastic deformations of asperities at the microscale. This work establishes a quantitative correlation between the contact behavior of engineering surfaces during sliding and their dry friction performance, providing theoretical support for overcoming the limitations of traditional contact models. It is argued that the model can be used for modeling MEMS and for the optimal design of interfaces in precision mechanical systems.