The formula to calculate Percent Reduction in Area (%RA) is:
\[ \%RA = \left( \frac{A_0 - A_f}{A_0} \right) \times 100 \]
Where:
Percent Reduction in Area is the percentage change in cross-sectional area with respect to the original cross-sectional area.
Cross-sectional Area is the area before any load is applied.
Fracture Area is the cross-sectional area at the point of fracture.
Let's assume the following values:
Using the formula:
\[ \%RA = \left( \frac{A_0 - A_f}{A_0} \right) \times 100 \]
Evaluating:
\[ \%RA = \left( \frac{0.005419 - 0.0008}{0.005419} \right) \times 100 \]
The Percent Reduction in Area is 85.2371%.
| Cross-sectional Area (m²) | Fracture Area (m²) | Percent Reduction in Area (%) |
|---|---|---|
| 0.001 | 0.0001 | 90.0000 |
| 0.001 | 0.0002 | 80.0000 |
| 0.001 | 0.0003 | 70.0000 |
| 0.001 | 0.0004 | 60.0000 |
| 0.001 | 0.0005 | 50.0000 |
| 0.001 | 0.0006 | 40.0000 |
| 0.001 | 0.0007 | 30.0000 |
| 0.001 | 0.0008 | 20.0000 |
| 0.001 | 0.0009 | 10.0000 |
| 0.002 | 0.0001 | 95.0000 |
| 0.002 | 0.0002 | 90.0000 |
| 0.002 | 0.0003 | 85.0000 |
| 0.002 | 0.0004 | 80.0000 |
| 0.002 | 0.0005 | 75.0000 |
| 0.002 | 0.0006 | 70.0000 |
| 0.002 | 0.0007 | 65.0000 |
| 0.002 | 0.0008 | 60.0000 |
| 0.002 | 0.0009 | 55.0000 |
| 0.003 | 0.0001 | 96.6667 |
| 0.003 | 0.0002 | 93.3333 |
| 0.003 | 0.0003 | 90.0000 |
| 0.003 | 0.0004 | 86.6667 |
| 0.003 | 0.0005 | 83.3333 |
| 0.003 | 0.0006 | 80.0000 |
| 0.003 | 0.0007 | 76.6667 |
| 0.003 | 0.0008 | 73.3333 |
| 0.003 | 0.0009 | 70.0000 |
| 0.004 | 0.0001 | 97.5000 |
| 0.004 | 0.0002 | 95.0000 |
| 0.004 | 0.0003 | 92.5000 |
| 0.004 | 0.0004 | 90.0000 |
| 0.004 | 0.0005 | 87.5000 |
| 0.004 | 0.0006 | 85.0000 |
| 0.004 | 0.0007 | 82.5000 |
| 0.004 | 0.0008 | 80.0000 |
| 0.004 | 0.0009 | 77.5000 |
| 0.005 | 0.0001 | 98.0000 |
| 0.005 | 0.0002 | 96.0000 |
| 0.005 | 0.0003 | 94.0000 |
| 0.005 | 0.0004 | 92.0000 |
| 0.005 | 0.0005 | 90.0000 |
| 0.005 | 0.0006 | 88.0000 |
| 0.005 | 0.0007 | 86.0000 |
| 0.005 | 0.0008 | 84.0000 |
| 0.005 | 0.0009 | 82.0000 |
| 0.006 | 0.0001 | 98.3333 |
| 0.006 | 0.0002 | 96.6667 |
| 0.006 | 0.0003 | 95.0000 |
| 0.006 | 0.0004 | 93.3333 |
| 0.006 | 0.0005 | 91.6667 |
| 0.006 | 0.0006 | 90.0000 |
| 0.006 | 0.0007 | 88.3333 |
| 0.006 | 0.0008 | 86.6667 |
| 0.006 | 0.0009 | 85.0000 |
| 0.007 | 0.0001 | 98.5714 |
| 0.007 | 0.0002 | 97.1429 |
| 0.007 | 0.0003 | 95.7143 |
| 0.007 | 0.0004 | 94.2857 |
| 0.007 | 0.0005 | 92.8571 |
| 0.007 | 0.0006 | 91.4286 |
| 0.007 | 0.0007 | 90.0000 |
| 0.007 | 0.0008 | 88.5714 |
| 0.007 | 0.0009 | 87.1429 |
| 0.008 | 0.0001 | 98.7500 |
| 0.008 | 0.0002 | 97.5000 |
| 0.008 | 0.0003 | 96.2500 |
| 0.008 | 0.0004 | 95.0000 |
| 0.008 | 0.0005 | 93.7500 |
| 0.008 | 0.0006 | 92.5000 |
| 0.008 | 0.0007 | 91.2500 |
| 0.008 | 0.0008 | 90.0000 |
| 0.008 | 0.0009 | 88.7500 |
| 0.009 | 0.0001 | 98.8889 |
| 0.009 | 0.0002 | 97.7778 |
| 0.009 | 0.0003 | 96.6667 |
| 0.009 | 0.0004 | 95.5556 |
| 0.009 | 0.0005 | 94.4444 |
| 0.009 | 0.0006 | 93.3333 |
| 0.009 | 0.0007 | 92.2222 |
| 0.009 | 0.0008 | 91.1111 |
| 0.009 | 0.0009 | 90.0000 |