Step 1: Recall the goal of precipitation hardening.
The whole point of this treatment is to end up with a fine dispersion of tiny second phase particles blocking dislocation motion, and reaching that state needs the alloy to first be forced into an unstable, supersaturated condition before it is allowed to release that instability in a controlled way.
Step 2: Group the physical operations by purpose.
The first operation combines heating the alloy into the single phase field to dissolve all the solute, followed immediately by a fast quench to freeze that solute in place; this pair is really one combined operation whose only job is to produce a supersaturated solid solution at room temperature. The second, separate operation is aging, reheating to a modest temperature and holding, whose job is to let the trapped solute atoms cluster and precipitate into strengthening particles.
Step 3: Counting the operational stages.
Even though three distinct physical events occur, heat, quench, age, they serve only two functional purposes: creating the supersaturated state, and then developing the precipitates from it.
Step 4: Conclusion.
Viewed by purpose rather than by individual physical step, precipitation hardening is treated as a two step process.
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