Soft-lubrication interactions between a rigid sphere and an elastic wall

The motion of an object within a viscous fluid and in the vicinity soft surface induces hydrodynamic stress field that deforms latter, thus modifying boundary conditions flow. This results elastohydrodynamic (EHD) interactions experienced by particle. Here, we derive soft-lubrication model, order to compute all forces torque applied on rigid sphere is free translate rotate near elastic wall. We focus limit small deformations with respect fluid-gap thickness, perform perturbation analysis dimensionless compliance. response computed framework linear elasticity, for planar substrates limiting cases thick thin layers. EHD are also obtained analytically using Lorentz reciprocal theorem.