Arrhenius-Exponential Model: Difference between revisions

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{{Reference Example|ALTA_Reference_Examples_Banner.png|ALTA_Reference_Examples}}
{{Reference Example|ALTA_Reference_Examples_Banner.png|ALTA_Reference_Examples}}


This example validates the calculation of Arrhenius-Exponential model.
This example compares the results for the Arrhenius-exponential model.
 


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{{Reference_Example_Heading1}}
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{{Reference_Example_Heading3}}


For this data set, the Arrhenius life stress relationship with an Exponential distribution is used.  The estimated activation energy value is <math>\,\!E_{a}=0.323</math>. The acceleration factor from 70°C to 35°C is 3.5.
For this data set, the Arrhenius life-stress relationship with an Exponential distribution is used.  The estimated activation energy value is <math>\,\!E_{a}=0.323</math>. The acceleration factor from 70°C to 35°C is 3.5.




{{Reference_Example_Heading4|ALTA}}
{{Reference_Example_Heading4|ALTA}}


In ALTA, the temperature values are converted from degree C to degree K.
In ALTA, the temperature values are converted from Celsius to Kelvin.


[[image:Arrhenius Exp_Folio.png|center]]
[[image:Arrhenius Exp_Folio.png|center]]

Revision as of 15:08, 13 June 2014

ALTA_Reference_Examples_Banner.png

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
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