Norris-Landzberg-Exponential Model - Revision history

Kate Racaza at 18:21, 28 September 2015

2015-09-28T18:21:55Z

← Older revision		Revision as of 18:21, 28 September 2015
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	{{Reference Example\|{{Banner ALTA Reference Examples}}}}		{{Reference Example\|{{Banner ALTA Reference Examples}}}}

	This example ~~compares~~ the results for the Norris-Landzberg life-stress relationship. This ~~can be~~ accomplished in ALTA by using the general log-linear model (GLL) with proper stress transformations.		This example validates the results for the Norris-Landzberg life-stress relationship in ALTA standard folios. This is accomplished in ALTA by using the general log-linear model (GLL) with proper stress transformations.

Kate Racaza at 16:38, 13 June 2014

2014-06-13T16:38:53Z

← Older revision		Revision as of 16:38, 13 June 2014
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	{{Reference Example\|~~ALTA_Reference_Examples_Banner.png\|ALTA_Reference_Examples~~}}		{{Reference Example\|{{Banner ALTA Reference Examples}}}}

	This example compares the results for the Norris-Landzberg life-stress relationship. This can be accomplished in ALTA by using the general log-linear model (GLL) with proper stress transformations.		This example compares the results for the Norris-Landzberg life-stress relationship. This can be accomplished in ALTA by using the general log-linear model (GLL) with proper stress transformations.

Beth Ann Paape at 15:20, 13 June 2014

2014-06-13T15:20:33Z

← Older revision		Revision as of 15:20, 13 June 2014
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	[[image:Norris-Landzberg Exp_Analysis Summary.png\|center]]		[[image:Norris-Landzberg Exp_Analysis Summary.png\|center]]


	~~The above results are close to what the book has.~~

Beth Ann Paape at 15:19, 13 June 2014

2014-06-13T15:19:45Z

← Older revision		Revision as of 15:19, 13 June 2014
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	The following table shows the thermal cycling profiles and test results for chip-scale package solder joints. In this example, the thermal cycling profile is represented by three independent stresses. These are: maximum temperature (<math>\,\!T_{Max}</math>), temperature difference (<math>\,\!\Delta T</math>) and cycling frequency (<math>\,\!f</math>).		The following table shows the thermal cycling profiles and test results for chip-scale package solder joints. In this example, the thermal cycling profile is represented by three independent stresses. These are: maximum temperature (<math>\,\!T_{Max}</math>), temperature difference (<math>\,\!\Delta T</math>) and cycling frequency (<math>\,\!f</math>).

	The thermal cycling profiles and test results for chip-scale package solder joints are given below. A thermal cycling profile can be represented by 3 independent stresses in Norris-Landzberg relationship. They are the maximum temperature (<math>\,\!T_{Max}</math>), the temperature difference (<math>\,\!\Delta T</math>) and cycling frequency (<math>\,\!f</math>).

	{\| {{table\|50%}}		{\| {{table\|50%}}
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	{{Reference_Example_Heading3}}		{{Reference_Example_Heading3}}

	~~For this data set,~~ a multiple linear regression model ~~is used in~~ the ~~book~~. The model parameters are estimated using the least ~~squared estimation~~. The regression model is shown next:		The book uses a multiple linear regression model to analyze the data set. The model parameters are estimated using the least squares method. The regression model is shown next:

	::<math>\begin{align}\\		::<math>\begin{align}\\
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	{{Reference_Example_Heading4\|ALTA}}		{{Reference_Example_Heading4\|ALTA}}

	In ALTA, the ~~General Log~~-linear model ~~is used with~~ the proper transformation for each stress~~. The failure time distribution is Exponential~~.		In ALTA, we use the general log-linear life-stress relationship with the exponential distribution (GLL-exponential model). The following picture shows the proper transformation for each stress.

	[[image:Norris-Landzberg Exp_Stress Transform.png\|center]]		[[image:Norris-Landzberg Exp_Stress Transform.png\|center]]


	In ALTA~~, the~~ maximum likelihood estimation ~~is used. Therefore~~, the ~~estimated model parameters~~ are not exactly the same as the ~~one~~ given in the book where least squares method is used. ~~The model result in ATLA is:~~		The following picture shows the results in ATLA. Note that ALTA uses maximum likelihood estimation to estimate the parameters; therefore, the results are close to, but not exactly the same, as the results given in the book, where the least squares method is used.

	[[image:Norris-Landzberg Exp_Analysis Summary.png\|center]]		[[image:Norris-Landzberg Exp_Analysis Summary.png\|center]]

Beth Ann Paape at 15:13, 13 June 2014

2014-06-13T15:13:54Z

← Older revision		Revision as of 15:13, 13 June 2014
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	{{Reference Example\|ALTA_Reference_Examples_Banner.png\|ALTA_Reference_Examples}}		{{Reference Example\|ALTA_Reference_Examples_Banner.png\|ALTA_Reference_Examples}}

	This example compares the results for the Norris-Landzberg relationship (can be ~~done~~ using the GLL ~~model in ALTA~~ with proper ~~transformation for each~~ stress).		This example compares the results for the Norris-Landzberg life-stress relationship. This can be accomplished in ALTA by using the general log-linear model (GLL) with proper stress transformations.


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	{{Reference_Example_Heading2}}		{{Reference_Example_Heading2}}

			The following table shows the thermal cycling profiles and test results for chip-scale package solder joints. In this example, the thermal cycling profile is represented by three independent stresses. These are: maximum temperature (<math>\,\!T_{Max}</math>), temperature difference (<math>\,\!\Delta T</math>) and cycling frequency (<math>\,\!f</math>).

	The thermal cycling profiles and test results for chip-scale package solder joints are given below. A thermal cycling profile can be represented by 3 independent stresses in Norris-Landzberg relationship. They are the maximum temperature (<math>\,\!T_{Max}</math>), the temperature difference (<math>\,\!\Delta T</math>) and cycling frequency (<math>\,\!f</math>).		The thermal cycling profiles and test results for chip-scale package solder joints are given below. A thermal cycling profile can be represented by 3 independent stresses in Norris-Landzberg relationship. They are the maximum temperature (<math>\,\!T_{Max}</math>), the temperature difference (<math>\,\!\Delta T</math>) and cycling frequency (<math>\,\!f</math>).

Beth Ann Paape at 18:21, 11 June 2014

2014-06-11T18:21:58Z

← Older revision		Revision as of 18:21, 11 June 2014
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	{{Reference Example\|ALTA_Reference_Examples_Banner.png\|ALTA_Reference_Examples}}		{{Reference Example\|ALTA_Reference_Examples_Banner.png\|ALTA_Reference_Examples}}

	This example ~~validates~~ the ~~calculation of~~ the Norris-Landzberg relationship (can be done using the GLL model in ALTA with proper transformation for each stress).		This example compares the results for the Norris-Landzberg relationship (can be done using the GLL model in ALTA with proper transformation for each stress).

Beth Ann Paape at 22:43, 10 June 2014

2014-06-10T22:43:35Z

← Older revision		Revision as of 22:43, 10 June 2014
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	In ALTA, the General Log-linear model is used with the proper transformation for each stress. The failure time distribution is Exponential.		In ALTA, the General Log-linear model is used with the proper transformation for each stress. The failure time distribution is Exponential.


	[[image:Norris-Landzberg Exp_Stress Transform.png\|center]]		[[image:Norris-Landzberg Exp_Stress Transform.png\|center]]

Beth Ann Paape at 21:43, 10 June 2014

2014-06-10T21:43:39Z

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Beth Ann Paape at 21:27, 10 June 2014

2014-06-10T21:27:43Z

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	{{Reference_Example_Heading4\|ALTA}}		{{Reference_Example_Heading4\|ALTA}}

	In ALTA, the General Log-linear model is used with the proper transformation for each stress. The failure time distribution is Exponential.		In ALTA, the General Log-linear model is used with the proper transformation for each stress. The failure time distribution is Exponential.


	[[image:Norris-Landzberg Exp_Stress Transform.png\|center]]		[[image:Norris-Landzberg Exp_Stress Transform.png\|center]]

Beth Ann Paape at 21:17, 10 June 2014

2014-06-10T21:17:14Z

← Older revision		Revision as of 21:17, 10 June 2014
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	!T<sub>MAX</sub> (°C)		!T<sub>MAX</sub> (°C)
	!Delta T (°C)		!Delta T (°C)
	!f		!<math>\,\!f</math>
	\|-		\|-
	\| 208\|\|80\|\|120\|\|1~~\|\|style='width:25%;"~~		\| 208\|\|80\|\|120\|\|1
	\|-		\|-
	\| 225\|\|80\|\|120\|\|2		\| 225\|\|80\|\|120\|\|2