Template:Generalized eyring relationship: Difference between revisions

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=Generalized Eyring Relationship=
#REDIRECT [[Eyring_Relationship#Generalized_Eyring_Relationship]]
 
==Introduction==
 
<br>
The generalized Eyring relationship is used when temperature and a second non-thermal stress (e.g. voltage) are the accelerated stresses of a test and their interaction is also of interest. This relationship is given by:
 
<br>
::<math>L(V,U)=\frac{1}{V}{{e}^{A+\tfrac{B}{V}+CU+D\tfrac{U}{V}}}</math>
 
<br>
where:
<br>
•     is the temperature ('''in absolute units''').
 
• <math>U</math>  is the non-thermal stress (i.e. voltage, vibration, etc.).
<math>A,B,C,D</math> are the parameters to be determined.
 
<br>
The Eyring relationship is a simple case of the generalized Eyring relationship where  <math>C=D=0</math>  and  <math>{{A}_{Eyr}}=-{{A}_{GEyr}}.</math>
Note that the generalized Eyring relationship includes the interaction term of  <math>U</math>  and  <math>V</math>  as described by the  <math>D\tfrac{U}{V}</math>  term. In other words, this model can estimate the effect of changing one of the factors depending on the level of the other factor.
 
{{gen-eyring acceleration factor}}
 
{{generalized eyring-exponential}}
 
{{generalized eyring-weibull}}
 
{{generalized eyring-log}}
 
{{Example:GER}}

Latest revision as of 00:31, 17 August 2012

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