Contact problem for a radial tyre as viscous-elastic shell under action on traction-braking forces

The method to solve a contact problem for stationary rolling tyre under action of traction-braking forces, is proposed. To calculate strains in a radial tyre, the formerly evaluated model of a viscous-elastic three-layer shell was used. The method is based on calculating the influence functions of normal and tangential stresses acting in the contact spot, and subsequent fulfilment of the contact and engagement terms in the collocation nodes. The calculation results for contact forces, strains and rolling resistance characteristics for track tyre 225/75R16 and car tyre 165/70R13, are presented as an example.