In this paper, the IHTC evolutions between a hot AA6082 specimen and cold P20 tools were quantitatively studied as a function of contact pressure, specimen thickness and lubricant, using the inverse FE simulation method. A novel interactive model was developed to predict IHTC evolutions with diminutions of different lubricants as a function of sliding distance (or time) at different contact pressures and sliding speeds. It was deduced that the interaction between the lubricant and the IHTC consists of three stages; namely stage I (excessive stage), in which the lubricant is applied excessively and the IHTC is plateaued, stage II (consumption stage), in which the lubricant diminishes during sliding and the IHTC decreases rapidly, and stage III (breakdown stage), in which lubricant breakdown occurs and the IHTC is equal to its values under dry conditions.