3-Dimensional non-linear FEM modeling and analysis of steady-rolling of radial tires

Abstract

The 3D finite element method modeling based on MSC.MARC software was studied and a non-linear FEM model was developed. The non-linear mechanical properties of elastomers were described by the Mooney—Rivlin model. The rebar model was employed to simulate complex multilayer rubber—cord composites and directly define the cord directions varying with their positions. The radial tire model was established based on consideration of the geometric non-linearity due to large deformation, the material’s non-linearities of cord—rubber composites, the non-linear boundary conditions from tire—rim contact and tire—road contact. The steady-rolling performance of 195/60R14 radial tire was analyzed numerically. Under free-rolling state, centrifugal force had a certain effect on the contact performance of the radial tire. Under load rating, the stiffness of tire increased with the increase of the rotary speed. Under braking state, high stress region moves to the direction contrary to the running direction. The high stress region moves to the running direction under driving state. Compared with braking condition, the level of normal stress and friction stress in the contact region was higher under the driving conditions. Cord equivalent stress of the tire belt was larger near the tire shoulder, and smaller in the center of contact zone. Cord equivalent stress increased sharply with the rotary speed. Meanwhile, the maximum cord equivalent stress was higher under the driving state. The gradient of strain energy density near the belt end was larger. The strain energy density of the tire shoulder was the largest.