Arrhenius-Exponential Model
|
This example validates the calculations for the Arrhenius-exponential model in Accelerated Life Testing (ALTA) life-stress data 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
. The acceleration factor from 70°C to 35°C is 3.5.
Results in Weibull++
In Weibull++, 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.
