How to Calculate and Solve for Maximum Crack Tip Stress | Fracture
Last Updated on December 14, 2022
The image above represents maximum crack tip stress.
To compute for maximum crack tip stress, three essential parameters are needed and these parameters are Nominal Tensile Stress (σo), Radius of Curvature of Crack Tip (ρt) and 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
σm = (8)(1.66)0.5
σm = (8)(1.290)
σm = 10.32
Therefore, the maximum crack tip stress is 10.32 Pa.
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
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 (ρt) and 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.
Finally, Click on Calculate
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.