How to Calculate and Solve for Hall Petch Equation | Deformation

The image of hall petch equation is represented below. To calculate 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
That is, σy = 4 + (2)(0.35)
σy = 4 + (0.707)
σy = 4.707

Therefore, the hall petch equation is 4.707 Pa.

Read more: How to Calculate and Solve for Strain Hardening Percent of Cold Work | Deformation

How to Calculate Hall Petch Equation Using Nickzom Calculator

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

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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.

How to Calculate and Solve for Hall Petch Equation | Deformation

Finally, Click on Calculate

How to Calculate and Solve for Hall Petch Equation | Deformation
How to Calculate and Solve for Hall Petch Equation | Deformation

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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