The formula to calculate True Stress (σT) is:
\[ \sigma_T = \sigma (1 + \epsilon) \]
Where:
True stress is defined as the load divided by the instantaneous cross-sectional area.
Engineering stress is the ratio of force exerted and the initial area.
Engineering strain is the ratio of change in length to its original length.
Let's assume the following values:
Using the formula:
\[ \sigma_T = \sigma (1 + \epsilon) \]
Evaluating:
\[ \sigma_T = 10,000,000 (1 + 0.01) \]
The True Stress is 10,100,000 Pa.
| Engineering Stress (Pa) | Engineering Strain | True Stress (Pa) |
|---|---|---|
| 1000000 | 0.01 | 1,010,000.0000 |
| 1000000 | 0.02 | 1,020,000.0000 |
| 1000000 | 0.03 | 1,030,000.0000 |
| 1000000 | 0.04 | 1,040,000.0000 |
| 1000000 | 0.05 | 1,050,000.0000 |
| 2000000 | 0.01 | 2,020,000.0000 |
| 2000000 | 0.02 | 2,040,000.0000 |
| 2000000 | 0.03 | 2,060,000.0000 |
| 2000000 | 0.04 | 2,080,000.0000 |
| 2000000 | 0.05 | 2,100,000.0000 |
| 3000000 | 0.01 | 3,030,000.0000 |
| 3000000 | 0.02 | 3,060,000.0000 |
| 3000000 | 0.03 | 3,090,000.0000 |
| 3000000 | 0.04 | 3,120,000.0000 |
| 3000000 | 0.05 | 3,150,000.0000 |
| 4000000 | 0.01 | 4,040,000.0000 |
| 4000000 | 0.02 | 4,080,000.0000 |
| 4000000 | 0.03 | 4,120,000.0000 |
| 4000000 | 0.04 | 4,160,000.0000 |
| 4000000 | 0.05 | 4,200,000.0000 |
| 5000000 | 0.01 | 5,050,000.0000 |
| 5000000 | 0.02 | 5,100,000.0000 |
| 5000000 | 0.03 | 5,150,000.0000 |
| 5000000 | 0.04 | 5,200,000.0000 |
| 5000000 | 0.05 | 5,250,000.0000 |
| 6000000 | 0.01 | 6,060,000.0000 |
| 6000000 | 0.02 | 6,120,000.0000 |
| 6000000 | 0.03 | 6,180,000.0000 |
| 6000000 | 0.04 | 6,240,000.0000 |
| 6000000 | 0.05 | 6,300,000.0000 |
| 7000000 | 0.01 | 7,070,000.0000 |
| 7000000 | 0.02 | 7,140,000.0000 |
| 7000000 | 0.03 | 7,210,000.0000 |
| 7000000 | 0.04 | 7,280,000.0000 |
| 7000000 | 0.05 | 7,350,000.0000 |
| 8000000 | 0.01 | 8,080,000.0000 |
| 8000000 | 0.02 | 8,160,000.0000 |
| 8000000 | 0.03 | 8,240,000.0000 |
| 8000000 | 0.04 | 8,320,000.0000 |
| 8000000 | 0.05 | 8,400,000.0000 |
| 9000000 | 0.01 | 9,090,000.0000 |
| 9000000 | 0.02 | 9,180,000.0000 |
| 9000000 | 0.03 | 9,270,000.0000 |
| 9000000 | 0.04 | 9,360,000.0000 |
| 9000000 | 0.05 | 9,450,000.0000 |
| 10000000 | 0.01 | 10,100,000.0000 |
| 10000000 | 0.02 | 10,200,000.0000 |
| 10000000 | 0.03 | 10,300,000.0000 |
| 10000000 | 0.04 | 10,400,000.0000 |
| 10000000 | 0.05 | 10,500,000.0000 |