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The grain size has an important effect on the mechanical properties of a metal The size of the grains depends upon a number of factors, but the principal one is the heat treatment to which the metal has been subjected When a low carbon steel is heated, there is no change in grain size upto the *lower critical point and it is same for allSizes, the values of typical mechanical properties increase with the reciprocal root of the grain size The classic HallPetch equation relates the yield strength to the grain size σ y = σ 0 Kyd1/2 (1) where Ky is the HallPetch slope and d is the mean grain size An identical relation holds for theStrengthening by Reduction of Grain Size The HallPetch equation describes dependence of yield strength, ς y, as a function of average grain diameter, d The ς 0 is the Peierls (frictional) stress and is the minimum stress needed to induce dislocation glide in a single crystal and k y is the Hall–Petch slope • What Is The Effect Of Grain Structure On The Propertie...