Time homogenization in modelling of rubber damage and ageing

Abstract

The contribution is focused on cumulation of the effects of damage and ageing of elastomers on their stiffness properties. An earlier model is enhanced by introducing permanent set to an approximation of hyperelastic parameters as functions of time and loading type. The nature of the model, however, does not offer any straightforward way of extrapolation in case of different loading modes or service conditions. Therefore, a complex material model that takes into account different mechanisms of ageing and damage is considered. In order to enable numerical simulations of high-cycle loading, the method of asymptotic series is applied resulting in a time-homogenized version of the model. In addition to savings in computational time, the model is formally similar to the original approximation.