The relaxation modulus is represented by the image below. To calculate relaxation modulus, two essential parameters are needed and these parameters are Time Dependent Stress (σ(t)) and Strain Level (εo).
The formula for calculating relaxation modulus:
Er(t) = σ(t)/εo
Where:
Er(t)Â = Relaxation Modulus
σ(t) = Time Dependent Stress
εo = Strain Level
Let’s solve an example;
Find the relaxation modulus when the time dependent stress is 12 and the strain level is 6.
This implies that;
σ(t) = Time Dependent Stress = 12
εo = Strain Level = 6
Er(t)Â =Â 12/6
Er(t)Â = 2
Therefore, the relaxation modulus is 2 Pa.
Calculating the Time Dependent Stress when the Relaxation Stress and the Strain Level are Given
σ(t) = Er(t) (εo)
Where:
σ(t) = Time Dependent Stress
Er(t)Â = Relaxation Modulus
εo = Strain Level
Let’s solve an example;
Find the time dependent stress when the relaxation modulus is 18 and the strain level is 5.
This implies that;
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Er(t) = Relaxation Modulus = 18
εo = Strain Level = 5
That is, σ(t) = Er(t) (εo)
σ(t) = 18 (5)
σ(t) = 90
Therefore, the time dependent stress is 90.
Read more:Â How to Calculate and Solve for Stress Damage Resistance | Polymer Deformation
Calculating the Strain Level when the Relaxation Stress and the Time Dependent Stress are Given
εo = σ(t) / Er(t)
Where:
εo = Strain Level
Er(t)Â = Relaxation Modulus
σ(t) = Time Dependent Stress
Given an example;
Find the strain level when the relaxation modulus is 24 and the time dependent stress is 72.
This implies that;
Er(t) = Relaxation Modulus = 24
σ(t) = Time Dependent Stress = 72
εo = σ(t) / Er(t)
So, εo = 72 / 24
εo = 3
Therefore, the strain level is 3.
How to Calculate Relaxation Modulus With Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the relaxation modulus.
To get the answer and workings of the relaxation modulus 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 under Materials and Metallurgical
Now, Click on Relaxation Modulus under Polymer
The screenshot below displays the page or activity to enter your values, to get the answer for the relaxation modulus according to the respective parameter which is the Time Dependent Stress (σ(t)) and Strain Level (εo).
Now, enter the values appropriately and accordingly for the parameters as required by the Time Dependent Stress (σ(t)) is 12 and Strain Level (εo) is 6.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the relaxation modulus and presents the formula, workings and steps too.
