How to Calculate and Solve for Brittle Material Critical Stress | Fracture

The image of brittle material critical stress is represented below. To calculate brittle material critical stress, three essential parameters are needed and these parameters are Modulus of Elasticity (E), Specific Surface Energy (γs), and Length of Crack on Surface (a).

The formula for calculating brittle material critical stress:

σc = (2Eγs/πa)0.5

Where:

σc = Brittle Material Critical Stress
E = Modulus of Elasticity
γs = Specific Surface Energy
a = Length of Crack on Surface

Given an example;
Find the brittle material critical stress when the modulus of elasticity is 10, the specific surface energy is 14 and the length of crack on surface is 8.

This implies that;

E = Modulus of Elasticity = 10
γs = Specific Surface Energy = 14
a = Length of Crack on Surface = 8

σc = (2Eγs/πa)0.5
σc = (2(10)(14)/π(8))0.5
That is, σc = (280/25.132)0.5
σc = (11.140)0.5
σc = 3.337

Therefore, the brittle material critical stress is 3.337 Pa.

How to Calculate Brittle Material Critical Stress Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the brittle material critical stress.

To get the answer and workings of the brittle material critical stress 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 Fracture under Materials and Metallurgical

Now, Click on Brittle Material Critical Stress under Fracture

The screenshot below displays the page or activity to enter your values, to get the answer for the brittle material critical stress according to the respective parameter which is the Modulus of Elasticity (E), Specific Surface Energy (γs) and Length of Crack on Surface (a).

Now, enter the values appropriately and accordingly for the parameters as required by the Modulus of Elasticity (E) is 10, Specific Surface Energy (γs) is 14 and Length of Crack on Surface (a) is 8.

How to Calculate and Solve for Brittle Material Critical Stress | Fracture

Finally, Click on Calculate

How to Calculate and Solve for Brittle Material Critical Stress | Fracture
How to Calculate and Solve for Brittle Material Critical Stress | Fracture

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the brittle material critical stress and presents the formula, workings and steps too.

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