Enter the materials constant for starting stress dislocation movement (MPa), the strengthening coefficient (MPa-m^1/2), and the average grain diameter (m) into the Hall-Petch Calculator. The calculator will evaluate the yield stress.
Hall-Petch Formula
The following formula is used to calculate the Hall-Petch.
YS = MC + K / SQRT(d)
Variables:
- YS is the yield stress (MPa)
- MC is the materials constant for starting stress dislocation movement (MPa)
- K is the strengthening coefficient (MPa-m^1/2)
- d is the average grain diameter (m)
To calculate the yield stress using the Hall-Petch equation, divide the strengthening coefficient by the square root of the grain diameter, then add the result to materials constant for starting stress dislocation movement.
How to Calculate Yield Stress From Hall-Petch Equation?
The following steps outline how to calculate the yield stress using the Hall-Petch equation.
- First, determine the materials constant for starting stress dislocation movement (MPa).
- Next, determine the strengthening coefficient (MPa-m^1/2).
- Next, determine the average grain diameter (m).
- Next, gather the formula from above = YS = MC + K / SQRT(d).
- Finally, calculate the yield stress.
- 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.
materials constant for starting stress dislocation movement (MPa) = 25
strengthening coefficient (MPa-m^1/2) = .40
average grain diameter (m) = .75
YS = MC + K / SQRT(d) = ?
