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Arrhenius-Exponential Model |
This example validates the calculations for the Arrhenius-exponential model in ALTA standard folios.
Reference Case
The data set is from Example 7.1 on page 254 in book Life Cycle Reliability Engineering by Dr. Guangbin Yang, John Wiley & Sons, 2007.
Data
| Failure Time | Temperature (°C) |
|---|---|
| 2385 | 85 |
| 2537 | 85 |
| 1655 | 100 |
| 1738 | 100 |
| 1025 | 115 |
| 1163 | 115 |
Result
For this data set, the Arrhenius life-stress relationship with an exponential distribution is used. The estimated activation energy value is [math]\displaystyle{ \,\!E_{a}=0.323 }[/math]. The acceleration factor from 70°C to 35°C is 3.5.
Results in ALTA
In ALTA, the temperature values given in the book are converted from Celsius to Kelvins, as shown next.
The calculated activation energy is 0.323. The acceleration factor from 70°C (343.15 K) to 35°C (308.15 K) is 3.46 as shown next.
