How to Calculate and Solve for Maximum Crack Tip Stress | Fracture

The image above represents maximum crack tip stress. To calculate maximum crack tip stress, three essential parameters are needed and these parameters are Nominal Tensile Stress (σo), Radius of Curvature of Crack Tip (ρtand Length of Surface Crack (a).

The formula for calculating maximum crack tip stress:

σm = 2σo(a/ρt)0.5

Where:

σm = Maximum Crack Tip Stress
σo = Nominal Tensile Stress
ρt = Radius of Curvature of Crack Tip
a = Length of Surface Crack

Given an example;
Find the maximum crack tip stress when the nominal tensile stress is 4, the radius of curvature of crack tip is 6 and the length of surface crack is 10.

This implies that;

σo = Nominal Tensile Stress = 4
ρt = Radius of Curvature of Crack Tip = 6
a = Length of Surface Crack = 10

σm = 2σo(a/ρt)0.5
σm = 2(4)(10/6)0.5
That is, σm = (8)(1.66)0.5
σm = (8)(1.290)
σm = 10.32

Therefore, the maximum crack tip stress is 10.32 Pa.

How to Calculate Maximum Crack Tip Stress Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the maximum crack tip stress.

To get the answer and workings of the maximum crack tip 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 Maximum Crack Tip Stress under Fracture

The screenshot below displays the page or activity to enter your values, to get the answer for the maximum crack tip stress according to the respective parameter which is the Nominal Tensile Stress (σo), Radius of Curvature of Crack Tip (ρtand Length of Surface Crack (a).

Now, enter the values appropriately and accordingly for the parameters as required by the Nominal Tensile Stress (σo) is 4, Radius of Curvature of Crack Tip (ρt) is 6 and Length of Surface Crack (a) is 10.

How to Calculate and Solve for Maximum Crack Tip Stress | Fracture

Finally, Click on Calculate

How to Calculate and Solve for Maximum Crack Tip Stress | Fracture
How to Calculate and Solve for Maximum Crack Tip Stress | Fracture

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

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