How to Calculate and Solve for Yield Stress for Single Crystal | Deformation
Last Updated on December 16, 2022
The image of yield stress for single crystal is represented below.
To compute for yield stress for single crystal, two essential parameters are needed and these parameters are Critical Resolved Shear Stress (τcrss) and (cosφcosλ)max.
The formula for calculating yield stress for single crystal:
σy = τcrss/(cosφcosλ)max
Where:
σy = Yield Stress for Single Crystal
τcrss = Critical Resolved Shear Stress
φ, λ = Stress Axis Orientations
Given an example;
Find the yield stress for single crystal when the critical resolved shear stress is 24 and the (cosφcosλ)max is 8.
This implies that;
τcrss = Critical Resolved Shear Stress = 24
(cosφcosλ)max = 8
σy = τcrss/(cosφcosλ)max
σy = 24/8
σy = 3
Therefore, the yield stress for single crystal is 3 Pa.
Calculating the Critical Resolved Shear Stress when the Yield Stress for Single Crystal and the (cosφcosλ)max is Given.
τcrss = σy x (cosφcosλ)max
Where:
τcrss = Critical Resolved Shear Stress
σy = Yield Stress for Single Crystal
φ, λ = Stress Axis Orientations
Let’s solve an example;
Find the critical resolved shear stress when the yield stress for single crystal is 20 and the (cosφcosλ)max is 4.
This implies that;
σy = Yield Stress for Single Crystal = 20
(cosφcosλ)max = 4
τcrss = σy x (cosφcosλ)max
τcrss = 20 x 4
τcrss = 80
Therefore, the critical resolved shear stress is 80.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the yield stress for single crystal.
To get the answer and workings of the yield stress for single crystal 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 Deformation under Materials and Metallurgical
Now, Click on Yield Stress for Single Crystal under Deformation
The screenshot below displays the page or activity to enter your values, to get the answer for the yield stress for single crystal according to the respective parameter which is the Critical Resolved Shear Stress (τcrss) and (cosφcosλ)max.
Now, enter the values appropriately and accordingly for the parameters as required by the Critical Resolved Shear Stress (τcrss) is 24 and (cosφcosλ)max is 8.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the yield stress for single crystal and presents the formula, workings and steps too.
