Abstract:The MooneyRivlin hyperelastic model and the Prony series viscoelastic constitutive model were used to verify the selected calculation parameters by finite element analysis compared with stress relaxation test data. Then, the AnsysPDS module was used to analyze the sensitivity values of all random parameters to surface contact stress and the influence of hyperelastic and viscoelastic parameters on the surface contact stress relaxation. The results show that parameter values are reasonable. Random parameters which have great influence on the surface contact stress are α2 and C10, followed by α1、τ1 and C01, and the effect of τ2 is negligible. Relaxation mainly occurred on the first day of loading and remained basically stable within 1 year. The larger the values of hyperelastic parameters, the smaller the stress attenuation is, and the opposite of viscoelastic parameters.