Hall Petch Equation

Graphical Version

Hall Petch Equation

LEAD Technologies Inc. V1.01

This equation indicates that the strength of a metal is equal to the frictional stress plus a factor (k) times the inverse of the square root of the grain size (D).  Reducing the grain size will cause the material to become stronger.  Grain size reduction is also a means to increase the toughness of a metal.

To learn more about this amazing equation and other methods to manipulate the mechanical properties of materials check out MTGN445 Mechanical Properties of Materials taught by Prof. Findley.

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