Arrhenius-Exponential Model

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ALTA_Reference_Examples

This example compares the results for the Arrhenius-exponential model.

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 are converted from Celsius to Kelvin.

Arrhenius Exp Folio.png


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.

Arrhenius Exp QPC.png