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Published equation contexts

AF=exp⁡ ⁣[EakB(1Tuse−1Ttest)]AF = \exp\!\left[\frac{E_a}{k_B}\left(\frac{1}{T_{\mathrm{use}}} - \frac{1}{T_{\mathrm{test}}}\right)\right]

Why this formula appears here

The mechanistic reason accelerated tests can mislead is that raising the stress variable does not always leave the failure mechanism unchanged. Frankel’s review of pitting corrosion lays out how localized breakdown of a passive oxide film depends on a threshold potential, chloride concentration, and temperature in a coupled, nonlinear way — push chloride concentration or temperature far enough and the pitting mechanism itself, and the alloy ranking it produces, can shift relative to what occurs at realistic exposure levels [ 5 ] . The same caution applies to thermal aging of polymers: raising oven temperature to accelerate an Arrhenius-type degradation rate is valid only while the dominant…

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kBk_B

Symbol k_B

kBk_B occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

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TuseT_{\mathrm{use}}

Symbol T_use

TuT_use occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

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How to interpret it

With a fixed numerator, increasing a nonzero denominator reduces the fraction. Read it with the definitions, units, and assumptions supplied by the article.

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Published contexts (1)

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AF=exp⁡ ⁣[EakB(1Tuse−1Ttest)],AF = \exp\!\left[\frac{E_a}{k_B}\left(\frac{1}{T_{\mathrm{use}}} - \frac{1}{T_{\mathrm{test}}}\right)\right],

Equation 9 · Materials Science

Materials Discovery and Degradation in Practice: An Advanced Technical Guide

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

The mechanistic reason accelerated tests can mislead is that raising the stress variable does not always leave the failure mechanism unchanged. Frankel’s review of pitting corrosion lays out how localized breakdown of a passive oxide film depends on a threshold potential, chloride concentration, and temperature in a coupled, nonlinear way — push chloride concentration or temperature far enough and the pitting mechanism itself, and the alloy ranking it produces, can shift relative to what occurs at realistic exposure levels [ 5 ] . The same caution applies to thermal aging of polymers: raising oven temperature to accelerate an Arrhenius-type degradation rate is valid only while the dominant…

Meanings in this article

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