Stochastic Failure Modeling of UHMWPE
Predicting failure of polymers is a difficult even under monotonic loading to failure. One of the challenges is that repeated tests on different samples do not result in failure at the same applied load level: there is always a statistical distribution in the observed failure quantities. To address this issue it is necessary to use a stochastic approach, a promising way to do this is discussed in the following pdf-file.
If you are interested in stochastic failure modeling of polymers in general, or about mechanical properties of UHMWPE, then this download should be of interest to you. It discusses the use of Normal and Weibull distributions to predict failure behavior of conventional and crosslinked UHMWPE.