How to Calculate and Solve for Crack Opening Displacement | Polymer Deformation
Last Updated on December 11, 2021
The image above represents crack opening displacement.
To compute for crack opening displacement, two essential parameters are needed and these parameters are Shear Modulus (G) and Yield Strength (σys).
The formula for calculating crack opening displacement:
d = G / 2σys
Where:
d = Crack Opening Displacement (G)
G = Shear Modulus
σys = Yield Strength
Let’s solve an example;
Find the crack opening displacement when the shear modulus is 12 and the yield strength is 4.
This implies that;
G = Shear Modulus = 12
σys = Yield Strength = 4
d = G / 2σys
d = 12 / 2(4)
d = 12 / 8
d = 1.5
Therefore, the crack opening displacement is 1.5 m.
Calculating the Shear Modulus when the Crack Opening Displacement and the Yield Strength is Given.
G = d x σys
Where:
G = Shear Modulus
d = Crack Opening Displacement (G)
σys = Yield Strength
Let’s solve an example;
Find the shear modulus when the crack opening displacement is 10 and the yield strength is 4.
This implies that;
d = Crack Opening Displacement (G) = 10
σys = Yield Strength = 4
G = d x σys
G = 10 x 4
G = 40
Therefore, the shear modulus is 40.
Calculating the Yield Strength when the Crack Opening Displacement and the Shear Modulus is Given.
σys = 2G / d
Where:
σys = Yield Strength
d = Crack Opening Displacement (G)
G = Shear Modulus
Let’s solve an example;
Find the yield strength when the crack opening displacement is 10 and the shear modulus is 15.
This implies that;
d = Crack Opening Displacement (G) = 10
G = Shear Modulus = 15
σys = 2G / d
σys = 2(15) / 10
σys = 30 / 10
σys = 3
Therefore, the yield strength is 3.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the crack opening displacement.
To get the answer and workings of the crack opening displacement 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 Polymer Deformation under Materials and Metallurgical
Now, Click on Crack Opening Displacement under Polymer Deformation
The screenshot below displays the page or activity to enter your values, to get the answer for the crack opening displacement according to the respective parameter which is the Shear Modulus (G) and Yield Strength (σys).
Now, enter the values appropriately and accordingly for the parameters as required by the Shear Modulus (G) is 12 and Yield Strength (σys) is 4.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the crack opening displacement and presents the formula, workings and steps too.
