Friday, April 12, 2024
Latest:
Engineering

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

Last Updated on December 14, 2022

The image of brittle material critical stress is represented below.

To compute for brittle material critical stress, three essential parameters are needed and these parameters are Modulus of Elasticity (E), Specific Surface Energy (γsand 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
σc = (280/25.132)0.5
σc = (11.140)0.5
σc = 3.337

Therefore, the brittle material critical stress is 3.337 Pa.

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:

You can also try the demo version via https://www.nickzom.org/calculator

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 (γsand 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.

Finally, Click on Calculate

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.