Engineering

How to Calculate and Solve for Hall Petch Equation | Deformation

Last Updated on December 19, 2022

The image of hall petch equation is represented below.

To compute for hall petch equation, three essential parameters are needed and these parameters are Average Size Diameter (d), Constant (σoand Constant (ky).

The formula for calculating hall petch equation:

σy = σo + kyd-0.5

Where:

σy = Hall Petch Equation
d = Average Grain Size Diameter
σo, ky = Constants

Given an example;
Find the hall petch equation when the average grain size diamter is 8, the constant is 4 and the constant is 2.

This implies that;

d = Average Grain Size Diameter
σo = Constant = 4
ky = Constant = 2

σy = σo + kyd-0.5
σy = 4 + (2)(8)-0.5
σy = 4 + (2)(0.35)
σy = 4 + (0.707)
σy = 4.707

Therefore, the hall petch equation is 4.707 Pa.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the hall petch equation.

To get the answer and workings of the hall petch equation using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.

Now, Click on Deformation under Materials and Metallurgical

Now, Click on Hall Petch Equation under Deformation

The screenshot below displays the page or activity to enter your values, to get the answer for the hall petch equation according to the respective parameter which is the Average Size Diameter (d), Constant (σoand Constant (ky).

Now, enter the values appropriately and accordingly for the parameters as required by the Average Size Diameter (d) is 8, Constant (σo) is 4 and Constant (ky) is 2.

Finally, Click on Calculate


As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the hall petch equation and presents the formula, workings and steps too.

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