Abstract

The fatigue life of hot mixed asphalt specimens was modelled in this paper as a complex modulus degradation process. In general, such a model consisting of random sum of random increments, provides the idea of using the stationary Poisson process. To modelling the constant-strain amplitude fatigue life test that is commonly known in pavement engineering practice as a four-point bending beam method, the cumulative jump model has been proposed. In order to estimate both the intensity and distribution parameters of Poisson process the random step curve of specimen complex modulus value degradation was de ned. It was shown that in case of developed experiment a relative error value for modelled fatigue life endurance is lower than 10% compared to the values resulting from the conventional fatigue life limit calculated as half of the initial value of complex modulus. Thus, the usefulness of the proposed method has been confirmed in the paper.

Keywords:Hot mixed asphalt; Beam specimen; Fatigue life; Cumulative jump; Stationary poisson process