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ow to determine constants in the Hall-Petch equation

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Question

How to determine constants in the Hall-Petch equation

Expert Solution

Step 1

Introduction:

The Hall-Petch equation is empirically found and the expression is written as,

$σ_{y} = σ_{\infty} + \frac{k}{\sqrt{D}}$

By experiment, it is found that the yield stress can be related to the grain size.

Here, D is grain diameter, $σ_{y}$ is yield stress.

$σ_{\infty}$ and k are constants.

The constant $σ_{\infty}$ is the yield stress when the yield stress is infinity i.e it is yield stress of infinitely large grain size.

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