The image of plain strain fracture toughness is represented below. To calculate plain strain fracture toughness, three essential parameters are needed and these parameters are Applied Stress (σ), Crack Length (α) and Crack Length (β).
The formula for calculating plain strain fracture toughness:
KIC = σ√(παβ)
Where:
KICÂ = Plain Strain Fracture Toughness
σ = Applied Stress
α, β = Crack Lengths
Given an example;
Find the plain strain fracture toughness when the applied stress is 11, the crack length is 7 and the crack length is 5.
This implies that;
σ = Applied Stress = 11
a = Crack Length = 7
β = Crack Length = 5
KIC = σ√(παβ)
KIC = (11)√(π(7)(3))
So, KIC = (11)√(65.97)
KIC = (11)(8.12)
KIC = 89.34
Therefore, the plain strain fracture toughness is 89.34 J/cm².
Calculating the Applied Stress when the Plain Strain Fracture Toughness, the Crack Length and the Crack Length are Given
σ = KIC / √(παβ)
Where:
σ = Applied Stress
KICÂ = Plain Strain Fracture Toughness
α = Crack Length
β = Crack Length
Let’s solve an example;
Find the applied stress when the plain strain fracture toughness is 24, the crack length is 8 and crack length is 4.
This implies that;
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KIC = Plain Strain Fracture Toughness = 24
α = Crack Length = 8
β = Crack Length = 4
σ = KIC / √(παβ)
σ = 24 / √(π(8)(4))
That is, σ = 24 / √100.53
σ = 24 / 10.026
σ = 2.39
Therefore, the applied stress is 2.39.
Read more:Â How to Calculate and Solve for Maximum Crack Tip Stress | Fracture
How to Calculate Plain Strain Fracture Toughness With Nickzom CalculatorÂ
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the plain strain fracture toughness.
To get the answer and workings of the plain strain fracture toughness 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 Plain Strain Fracture Toughness under Fracture
The screenshot below displays the page or activity to enter your values, to get the answer for the plain strain fracture toughness according to the respective parameter which is the Applied Stress (σ), Crack Length (α) and Crack Length (β).
Now, enter the values appropriately and accordingly for the parameters as required by the Applied Stress (σ) is 11, Crack Length (α) is 7 and Crack Length (β) is 5.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the plain strain fracture toughness and presents the formula, workings and steps too.
