How to Calculate and Solve for Initial Grain Diameter | Deformation

The image above represents initial grain diameter. To calculate initial grain diameter, four essential parameters are needed and these parameters are Average Grain Size Diameter (d), Time (t), Time Independent Constant (k) and Time Independent Constant (n).

The formula for calculating initial grain diameter:

do = (dn – kt)(1/n)

Where:

d = Average Grain Size Diameter
k, n = Time Independent Constants
t = Time

Given an example;
Find the initial grain diameter when the average grain size diameter is 2, the time is 3, the time independent constant is 6 and the time independent constant is 9.

This implies that;

d = Average Grain Size Diameter = 2
k = Time Independent Constant = 6
n = Time Independent Constant = 9
t = Time = 3

do = (dn – kt)(1/n)
do = (29 – (6)(3))(1/9)
That is, do = (512 – (18))(1.992)
do = (494)(1.992)
do = 1.99

Therefore, the initial grain diameter is 1.99 mm.

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

How to Calculate Initial Grain Diameter With Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the initial grain diameter.

To get the answer and workings of the initial grain diameter 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

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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 Initial Grain Diameter under Deformation

The screenshot below displays the page or activity to enter your values, to get the answer for the initial grain diameter according to the respective parameter which is the Average Grain Size Diameter (d), Time (t), Time Independent Constant (k) and Time Independent Constant (n).

Now, enter the values appropriately and accordingly for the parameters as required by the Average Grain Size Diameter (d) is 2, Time (t) is 3, Time Independent Constant (k) is 6 and Time Independent Constant (n) is 9.

How to Calculate and Solve for Initial Grain Diameter | Deformation

Finally, Click on Calculate

How to Calculate and Solve for Initial Grain Diameter | Deformation
How to Calculate and Solve for Initial Grain Diameter | Deformation

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the initial grain diameter and presents the formula, workings and steps too.

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