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Area of Science:

  • Fluid Dynamics and Tribology
  • Soft Matter Physics
  • Contact Mechanics

Background:

  • Understanding the interplay between fluid lubrication and elastic deformation is crucial in micro-scale contact mechanics.
  • The behavior of submerged bodies in contact with soft surfaces is relevant to biological systems and micro-devices.

Purpose of the Study:

  • To analyze the coupled rotational and translational motion of a submerged cylinder on a soft elastic substrate.
  • To investigate the influence of substrate deformation and fluid film thickness on contact dynamics.
  • To explore how external torque affects the motion, including back-spinning and top-spinning states.

Main Methods:

  • Employed numerical solutions to model the elastohydrodynamic lubrication problem.
  • Utilized asymptotic theory to analyze the system across various deformation regimes.
  • Investigated the entire range of substrate deformations relative to the fluid film thickness.

Main Results:

  • A strong coupling between rotation and translation was observed when substrate deformation is comparable to fluid film thickness.
  • In large deformation limits, near-Hertzian contact and slip-free rolling occur, similar to dry friction.
  • For small deformations, weaker coupling results in rotation rate scaling with translation speed to the one-third power.

Conclusions:

  • The study reveals complex coupling dynamics between rotation and translation in lubricated contact.
  • External torque can induce distinct rotational and translational states, demonstrating robust behavior across substrate thicknesses.
  • Findings provide insights into micro-scale tribology and the mechanics of soft interfaces.