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Latest revision as of 04:43, 16 August 2012

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-====Arrhenius-Weibull Reliability Function====
+#REDIRECT [[Arrhenius_Relationship#Arrhenius-Weibull_Statistical_Properties_Summary]]
-<br>
-The Arrhenius-Weibull reliability function is given by:
-<br>
-::<math>R(T,V)={{e}^{-{{\left( \tfrac{T}{C\cdot {{e}^{\tfrac{B}{V}}}} \right)}^{\beta }}}}</math>
-<br>
-If the parameter  <math>B</math>  is positive, then the reliability increases as stress decreases.
-<br>
-[[Image:ALTA6.7.gif|thumb|center|300px|Behavior of the reliability function at different stress and constant parameter values.]]
-<br>
-<br>
-The behavior of the reliability function of the Weibull distribution for different values of  <math>\beta </math>  was illustrated in Chapter 5. In the case of the Arrhenius-Weibull model, however, the reliability is a function of stress also. A 3D plot such as the ones shown in Fig. 8 is now needed to illustrate the effects of both the stress and  <math>\beta .</math>
-<br>
-::<math></math>
-<br>
-[[Image:ALTA6.8.gif|thumb|center|300px|Reliability function for <math>\Beta<1 </math>, <math>\Beta=1 </math>, and <math>\Beta>1 </math>.]]
-<br>