Some numerical models are proposed for simulate the aircraft tyre behaviour in critical situations. Fully coupled thermomechanical analysis procedures taking into account finite deformation, dynamics and frictional contact are studied. The proposed models are compared with experimental data such as contact area, lateral and longitudinal stiffness, vertical deflection, surface temperature evolution due to friction, self-alignment torque, and lateral friction coefficients. A good agreement is observed at low speed (less than 70 km/h). The model is able to be extrapolated and to predict results at high speeds, in which case it is not possible to obtain realistic experimental data.