Abstract <p>The study is aimed at developing an evolutionary model of fatigue damage accumulation, which is a functional of the stress variation over time in a local volume, independent of plastic strains. This model has been generalized to account for the rheonomic effects reflecting the dependence of fatigue life on loading frequency and dwell periods at the maximum stress in a cycle. The material constants of the model have been determined for the two-phase titanium alloy VT6 (the equivalent of Ti-6Al-4V), exhibiting the cold creep that is the sensitivity of fatigue properties to the time characteristics of cyclic loading at room temperature. New data of the fatigue tests with various frequencies and dwell periods in cycles have been used. It has been shown that the model can correctly describe these data and also predict the fatigue life for a wider range of loading conditions. The fatigue life of a gas turbine engine component has been calculated for the flight cycles, accounting for the dwell periods at maximum and intermediate stress values within the cycle, and the calculation results demonstrated a significant non-conservatism of the fatigue life calculations by applying the simplified load-spectrum approach within the framework of the linear damage accumulation hypothesis.</p>