This paper presents a test device to explore the influence of geometric attribute of the contact surface on friction coefficient along with sliding speed and contact pressure. Friction tests were conducted on a third-generation high strength steel QP980. The friction coefficients for different surface curvatures, contact pressures and sliding speeds were calculated and the influences of these factors were analyzed. The formula for calculating the friction coefficients between curved contact surfaces was derived. The relationship between bending induced surface roughness increase and friction coefficient was established. An enhanced friction coefficient model with pressure, velocity and curvature dependence was proposed. The enhanced friction model was applied to simulate the stamping of an automotive part and a better correlation was achieved.