The formation mechanism of interphase layers of polymer composites is studied as a function of the deformation parameters and properties of the polymer binder in the fluid state. A collisional-dynamics procedure was used to investigate the behavior of a single polymer chain attached by one end to the surface of a solid wall and subject to the force field of a simple shear flow. Numerical dynamic modeling was done at a constant temperature for chains of various lengths. The influence of solvent properties on the shear-velocity dependence of various system characteristics was studied; the latter included chain deformation, distribution density of links, average thickness of adsorbed polymer layer, coefficients of effective shear viscosity and first normal-stress difference, and the shear stress at the wall. It is established that solvent quality affects the physicomechanical properties of a grafted chain only at low shear velocities.