How to Calculate and Solve for Fracture Toughness on Knoop Indentor | Polymer Deformation

The image above represents fracture toughness on knoop indentor. To calculate fracture toughness on knoop indentor, five essential parameters are needed and these parameters are Indentor Constant (d), Elastic Modulus, (E), Indentation Hardness Value (H), Load (P) and a.

The formula for calculating fracture toughness on knoop indentor:

Kc = d(E)(P) / H(a)3/2

Where:

Kc = Fracture Toughness on Knoop Indentor
d = Indentor Constant
E = Elastic Modulus
H = Indentation Hardness Value
P = Load
a

Let’s solve an example;
Find the fracture toughness on knoop indentor when the indentor constant is 2, the elastic modulus is 4, the indentation hardness value is 6, the load is 8 and a is 3.

This implies that;

d = Indentor Constant = 2
E = Elastic Modulus = 4
H = Indentation Hardness Value = 6
P = Load = 8
a = 3

Kc = d(E)(P) / H(a)3/2
Kc = (2)(4)(8) / (6)(3)3/2
That is, Kc = 64 / (6)(5.196)
Kc = 64 / 31.176
Kc = 2.05

Therefore, the fracture toughness on knoop indentor is 2.05 J/m³.

Read more: How to Calculate and Solve for Crack Opening Displacement | Polymer Deformation

How to Calculate and Solve for Fracture Toughness on Knoop Indentor | Polymer Deformation

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the fracture toughness on knoop indentor.

To get the answer and workings of the fracture toughness on knoop indentor 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 Polymer Deformation under Materials and Metallurgical

Now, Click on Fracture Toughness on Knoop Indentor under Polymer Deformation

The screenshot below displays the page or activity to enter your values, to get the answer for the fracture toughness on knoop indentor according to the respective parameter which is the Indentor Constant (d), Elastic Modulus, (E), Indentation Hardness Value (H), Load (P) and a.

How to Calculate and Solve for Fracture Toughness on Knoop Indentor | Polymer Deformation

Now, enter the values appropriately and accordingly for the parameters as required by the Indentor Constant (d) is 2, Elastic Modulus, (E) is 4, Indentation Hardness Value (H) is 6, Load (P) is 8 and a is 3.

How to Calculate and Solve for Fracture Toughness on Knoop Indentor | Polymer Deformation

Finally, Click on Calculate

How to Calculate and Solve for Fracture Toughness on Knoop Indentor | Polymer Deformation

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the fracture toughness on knoop indentor and presents the formula, workings and steps too.

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