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Arrhenius-Weibull Reliability Function

The Arrhenius-Weibull reliability function is given by:

[math]\displaystyle{ R(T,V)={{e}^{-{{\left( \tfrac{T}{C\cdot {{e}^{\tfrac{B}{V}}}} \right)}^{\beta }}}} }[/math]

If the parameter [math]\displaystyle{ B }[/math] is positive, then the reliability increases as stress decreases.

The behavior of the reliability function of the Weibull distribution for different values of [math]\displaystyle{ \beta }[/math] was illustrated here. 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 the next figure is now needed to illustrate the effects of both the stress and [math]\displaystyle{ \beta . }[/math]

[math]\displaystyle{ }[/math]