Template:Gen-eyring acceleration factor - Revision history

Richard House: Redirected page to Eyring Relationship#Generalized Eyring Relationship

2012-08-17T00:36:15Z

Redirected page to Eyring Relationship#Generalized Eyring Relationship

← Older revision		Revision as of 00:36, 17 August 2012
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	~~==Acceleration Factor==~~		#REDIRECT [[Eyring_Relationship#Generalized_Eyring_Relationship]]

	~~<br>~~
	Most models in actual use do not include any interaction terms, therefore, the acceleration factor can be computed by multiplying the acceleration factors obtained by changing each factor while keeping the other factors constant. In the case of the generalized Eyring relationship, the acceleration factor is derived differently.

	~~<br>~~
	~~The acceleration factor for the generalized Eyring relationship is given by:~~

	~~<br>~~
	~~::<math>\begin{align}~~
	& {{A}_{F}}= & \frac{{{L}_{USE}}}{{{L}_{Accelerated}}}=\frac{\tfrac{1}{{{V}_{U}}}{{e}^{A+\tfrac{B}{{{V}_{U}}}+C{{U}_{U}}+D\tfrac{{{U}_{U}}}{{{V}_{U}}}}}}{\tfrac{1}{{{T}_{A}}}{{e}^{A+\tfrac{B}{{{V}_{A}}}+C{{U}_{A}}+D\tfrac{{{U}_{A}}}{{{V}_{A}}}}}} =\ \frac{\tfrac{1}{{{V}_{U}}}{{e}^{A+\tfrac{B}{{{V}_{U}}}+C{{U}_{U}}+D\tfrac{{{U}_{U}}}{{{V}_{U}}}}}}{\tfrac{1}{{{V}_{A}}}{{e}^{A+\tfrac{B}{{{V}_{A}}}+C{{U}_{A}}+D\tfrac{{{U}_{A}}}{{{V}_{A}}}}}}
	~~\end{align}</math>~~

	~~<br>~~
	~~where:~~
	~~<br>~~
	~~• <math>{{L}_{USE}}</math> is the life at use stress level.~~

	~~• <math>{{L}_{Accelerated}}</math> is the life at the accelerated stress level.~~

	~~• <math>{{V}_{u}}</math> is the use temperature level.~~

	~~• <math>{{V}_{A}}</math> is the accelerated temperature level.~~

	~~• <math>{{U}_{A}}</math> is the accelerated non-thermal level.~~

	~~• <math>{{U}_{u}}</math> is the use non-thermal level.~~
	~~<br>~~

Athanasios Gerokostopoulos: /* Acceleration Factor */

2012-02-15T01:21:38Z

Acceleration Factor

← Older revision		Revision as of 01:21, 15 February 2012
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	===Acceleration Factor===		==Acceleration Factor==

	<br>		<br>

Athanasios Gerokostopoulos at 00:00, 15 February 2012

2012-02-15T00:00:27Z

← Older revision		Revision as of 00:00, 15 February 2012
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	<br>		<br>
	::<math>\begin{align}		::<math>\begin{align}
	& {{A}_{F}}= & \frac{{{L}_{USE}}}{{{L}_{Accelerated}}}=\frac{\tfrac{1}{{{V}_{U}}}{{e}^{A+\tfrac{B}{{{V}_{U}}}+C{{U}_{U}}+D\tfrac{{{U}_{U}}}{{{V}_{U}}}}}}{\tfrac{1}{{{T}_{A}}}{{e}^{A+\tfrac{B}{{{V}_{A}}}+C{{U}_{A}}+D\tfrac{{{U}_{A}}}{{{V}_{A}}}}}} = & \frac{\tfrac{1}{{{V}_{U}}}{{e}^{A+\tfrac{B}{{{V}_{U}}}+C{{U}_{U}}+D\tfrac{{{U}_{U}}}{{{V}_{U}}}}}}{\tfrac{1}{{{V}_{A}}}{{e}^{A+\tfrac{B}{{{V}_{A}}}+C{{U}_{A}}+D\tfrac{{{U}_{A}}}{{{V}_{A}}}}}}		& {{A}_{F}}= & \frac{{{L}_{USE}}}{{{L}_{Accelerated}}}=\frac{\tfrac{1}{{{V}_{U}}}{{e}^{A+\tfrac{B}{{{V}_{U}}}+C{{U}_{U}}+D\tfrac{{{U}_{U}}}{{{V}_{U}}}}}}{\tfrac{1}{{{T}_{A}}}{{e}^{A+\tfrac{B}{{{V}_{A}}}+C{{U}_{A}}+D\tfrac{{{U}_{A}}}{{{V}_{A}}}}}} =\ \frac{\tfrac{1}{{{V}_{U}}}{{e}^{A+\tfrac{B}{{{V}_{U}}}+C{{U}_{U}}+D\tfrac{{{U}_{U}}}{{{V}_{U}}}}}}{\tfrac{1}{{{V}_{A}}}{{e}^{A+\tfrac{B}{{{V}_{A}}}+C{{U}_{A}}+D\tfrac{{{U}_{A}}}{{{V}_{A}}}}}}
	\end{align}</math>		\end{align}</math>

Athanasios Gerokostopoulos: /* Acceleration Factor */

2012-02-15T00:00:04Z

Acceleration Factor

← Older revision		Revision as of 00:00, 15 February 2012
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	<br>		<br>
	::<math>\begin{align}		::<math>\begin{align}
	& {{A}_{F}}= & \frac{{{L}_{USE}}}{{{L}_{Accelerated}}}=\frac{\tfrac{1}{{{V}_{U}}}{{e}^{A+\tfrac{B}{{{V}_{U}}}+C{{U}_{U}}+D\tfrac{{{U}_{U}}}{{{V}_{U}}}}}}{\tfrac{1}{{{T}_{A}}}{{e}^{A+\tfrac{B}{{{V}_{A}}}+C{{U}_{A}}+D\tfrac{{{U}_{A}}}{{{V}_{A}}}}}} \\		& {{A}_{F}}= & \frac{{{L}_{USE}}}{{{L}_{Accelerated}}}=\frac{\tfrac{1}{{{V}_{U}}}{{e}^{A+\tfrac{B}{{{V}_{U}}}+C{{U}_{U}}+D\tfrac{{{U}_{U}}}{{{V}_{U}}}}}}{\tfrac{1}{{{T}_{A}}}{{e}^{A+\tfrac{B}{{{V}_{A}}}+C{{U}_{A}}+D\tfrac{{{U}_{A}}}{{{V}_{A}}}}}} = & \frac{\tfrac{1}{{{V}_{U}}}{{e}^{A+\tfrac{B}{{{V}_{U}}}+C{{U}_{U}}+D\tfrac{{{U}_{U}}}{{{V}_{U}}}}}}{\tfrac{1}{{{V}_{A}}}{{e}^{A+\tfrac{B}{{{V}_{A}}}+C{{U}_{A}}+D\tfrac{{{U}_{A}}}{{{V}_{A}}}}}}
	& = & \frac{\tfrac{1}{{{V}_{U}}}{{e}^{A+\tfrac{B}{{{V}_{U}}}+C{{U}_{U}}+D\tfrac{{{U}_{U}}}{{{V}_{U}}}}}}{\tfrac{1}{{{V}_{A}}}{{e}^{A+\tfrac{B}{{{V}_{A}}}+C{{U}_{A}}+D\tfrac{{{U}_{A}}}{{{V}_{A}}}}}}
	\end{align}</math>		\end{align}</math>

Nicolette Young: Created page with '===Acceleration Factor===
Most models in actual use do not include any interaction terms, therefore, the acceleration factor can be computed by multiplying the acceleration…'

2012-01-12T23:10:28Z

Created page with '===Acceleration Factor=== Most models in actual use do not include any interaction terms, therefore, the acceleration factor can be computed by multiplying the acceleration…'

New page

===Acceleration Factor===

 
Most models in actual use do not include any interaction terms, therefore, the acceleration factor can be computed by multiplying the acceleration factors obtained by changing each factor while keeping the other factors constant. In the case of the generalized Eyring relationship, the acceleration factor is derived differently.

 
The acceleration factor for the generalized Eyring relationship is given by:

 
::<math>\begin{align}
& {{A}_{F}}= & \frac{{{L}_{USE}}}{{{L}_{Accelerated}}}=\frac{\tfrac{1}{{{V}_{U}}}{{e}^{A+\tfrac{B}{{{V}_{U}}}+C{{U}_{U}}+D\tfrac{{{U}_{U}}}{{{V}_{U}}}}}}{\tfrac{1}{{{T}_{A}}}{{e}^{A+\tfrac{B}{{{V}_{A}}}+C{{U}_{A}}+D\tfrac{{{U}_{A}}}{{{V}_{A}}}}}} \\
& = & \frac{\tfrac{1}{{{V}_{U}}}{{e}^{A+\tfrac{B}{{{V}_{U}}}+C{{U}_{U}}+D\tfrac{{{U}_{U}}}{{{V}_{U}}}}}}{\tfrac{1}{{{V}_{A}}}{{e}^{A+\tfrac{B}{{{V}_{A}}}+C{{U}_{A}}+D\tfrac{{{U}_{A}}}{{{V}_{A}}}}}}
\end{align}</math>

 
where:
 
• <math>{{L}_{USE}}</math> is the life at use stress level.

• <math>{{L}_{Accelerated}}</math> is the life at the accelerated stress level.

• <math>{{V}_{u}}</math> is the use temperature level.

• <math>{{V}_{A}}</math> is the accelerated temperature level.

• <math>{{U}_{A}}</math> is the accelerated non-thermal level.

• <math>{{U}_{u}}</math> is the use non-thermal level.

Template:Gen-eyring acceleration factor - Revision history

Richard House: Redirected page to Eyring Relationship#Generalized Eyring Relationship

Athanasios Gerokostopoulos: /* Acceleration Factor */

Athanasios Gerokostopoulos at 00:00, 15 February 2012

Athanasios Gerokostopoulos: /* Acceleration Factor */

Nicolette Young: Created page with '===Acceleration Factor=== Most models in actual use do not include any interaction terms, therefore, the acceleration factor can be computed by multiplying the acceleration…'

Nicolette Young: Created page with '===Acceleration Factor===
Most models in actual use do not include any interaction terms, therefore, the acceleration factor can be computed by multiplying the acceleration…'