This paper presents the application of the continuum damage model proposed by Kachanov for creep failure prediction on aluminum alloy 2650-T8, under three different thermomechanic loading conditions with axial tensile stress. The life-fraction rule proposed by Robinson is used in order to validate the failure prediction. The computational implementation was realized using Matlab language. It is employed the Runge Kutta’s fourth order algorithm for time integration. The numerical results demonstrate that the necessary condition for the continuum damage model to conform with the life-fraction rule is that the life-fraction should be equal to one at rupture. The accuracy of the creep failure prediction depends on the material’s experimental characterization and the choice of a convenient time integration step that reduces the numerical error