Enter the phi and lambda angles in degrees into the calculator to determine the Schmid Factor for a crystal in slip under an applied stress.
Schmid Factor Formula
The following formula is used to calculate the Schmid Factor:
SF = cos(φ) * cos(λ)
Variables:
- SF is the Schmid Factor
- φ (Phi) is the angle between the slip direction and the applied stress direction (degrees)
- λ (Lambda) is the angle between the slip plane normal and the applied stress direction (degrees)
To calculate the Schmid Factor, multiply the cosine of the phi angle by the cosine of the lambda angle.
What is the Schmid Factor?
The Schmid Factor is a measure of the ease with which a crystal can deform along a particular slip system under an applied stress. It is a dimensionless number that ranges from 0 to 0.5, where a higher value indicates a higher likelihood of slip occurring. The Schmid Factor is used in materials science to predict the onset of plastic deformation in crystalline materials.
How to Calculate the Schmid Factor?
The following steps outline how to calculate the Schmid Factor:
- First, determine the phi angle (φ) between the slip direction and the applied stress direction in degrees.
- Next, determine the lambda angle (λ) between the slip plane normal and the applied stress direction in degrees.
- Convert both angles from degrees to radians by multiplying them by π/180.
- Use the formula SF = cos(φ) * cos(λ) to calculate the Schmid Factor.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Phi angle (φ) = 45 degrees
Lambda angle (λ) = 30 degrees
