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Many methods for estimating the fatigue life of an aluminum alloy have been proposed in order to save development time and cost as demand for durable and light-weighted material grows strong. None of them, however, are practical enough to estimate the life of an engine component because thermal and mechanical loads on the engine component change as time elapses. Firstly, this paper deals with a method for clarifying the inelastic characteristics of an aluminum alloy, especially the effects of strain amplitude, ductile period (compression-tension cycle time) and temperature range on inelastic deformation, by making experiment where both thermal and mechanical loads were applied in the inverted phase(‘out-of phase’). Secondly the paper discusses a possibility of improving accuracy in determining the fatigue life of the material by introducing a new index of ‘plastic work density per second’, which is based on the conventional concept of plastic strain energy density.