According to ——––––––––– equation “for most metals, yield strength depends on average grain diameter.”
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For materials, the Hall–Petch relationship highlights the effect of grain size on mechanical properties, such as strength. Smaller grain sizes lead to stronger materials.
The Hall–Petch equation describes how the yield strength of metals increases as the grain size decreases. The equation indicates that finer grains result in higher yield strength, as smaller grain sizes create more grain boundaries that impede dislocation motion.