The formula to calculate the stress concentration factor is:
\[ k = 2 \sqrt{\frac{a}{\rho}} \]
Where:
The stress concentration factor is a measure of the degree to which external stress is amplified at the tip of a crack.
Crack length represents the length of a surface crack, or half of the length of an internal crack.
Radius of curvature is the radius of the crack tip.
Let's assume the following values:
Using the formula:
\[ k = 2 \sqrt{\frac{1E-05}{1E-07}} = 20 \]
The stress concentration factor is 20.
| Crack Length (m) | Radius of Curvature (m) | Stress Concentration Factor |
|---|---|---|
| 1.0E-6 | 1.0E-8 | 20.00 |
| 1.0E-6 | 1.0E-7 | 6.32 |
| 1.0E-6 | 1.0E-6 | 2.00 |
| 1.0E-5 | 1.0E-8 | 63.25 |
| 1.0E-5 | 1.0E-7 | 20.00 |
| 1.0E-5 | 1.0E-6 | 6.32 |
| 0.0001 | 1.0E-8 | 200.00 |
| 0.0001 | 1.0E-7 | 63.25 |
| 0.0001 | 1.0E-6 | 20.00 |