Response surface models for efficient, modular estimation of solder joint reliability in area array packages

2005 ◽  
Vol 45 (3-4) ◽  
pp. 623-635 ◽  
Author(s):  
L. Zhang ◽  
G. Subbarayan ◽  
B.C. Hunter ◽  
D. Rose
Keyword(s):  
Solder Joint ◽  
Response Surface ◽  
Solder Joint Reliability ◽  
Response Surface Models ◽  
Joint Reliability ◽  
Area Array ◽  
Surface Models

Parameterized Modeling of Thermomechanical Reliability for CSP Assemblies

2003 ◽  
Vol 125 (4) ◽  
pp. 498-505 ◽  
Author(s):  
Bart Vandevelde ◽  
Eric Beyne ◽  
Kouchi (G.Q.) Zhang ◽  
Jo Caers ◽  
Dirk Vandepitte ◽  
...  
Keyword(s):  
Finite Element ◽  
Solder Joint ◽  
Empirical Model ◽  
Prediction Models ◽  
Solder Joints ◽  
Coefficient Of Thermal Expansion ◽  
Solder Joint Reliability ◽  
Joint Geometry ◽  
Joint Reliability ◽  
Area Array

Finite element modeling is widely used for estimating the solder joint reliability of electronic packages. In this study, the electronic package is a CSP mounted on a printed circuit board (PCB) using an area array of solder joints varying from 5×4 up to 7×7. An empirical model for estimating the reliability of CSP solder joints is derived by correlating the simulated strains to thermal cycling results for 20 different sample configurations. This empirical model translates the inelastic strains calculated by nonlinear three-dimensional (3D) finite element simulations into a reliability estimation (N50% or N100 ppm). By comparing with the results of reliability tests, it can be concluded that this model is accurate and consistent for analyzing the effect of solder joint geometry. Afterwards, parameter sensitivity analysis was conducted by integrating a design of experiment (DOE) analysis with the reliable solder fatigue prediction models, following the method of simulation-based optimization. Several parameters are analyzed: the PCB parameters (elastic modulus, coefficient of thermal expansion, thickness), the chip dimensions (area array configuration), and the parameters defining the solder joint geometry (substrate and chip pad diameter, solder volume). The first study analyzes how the solder joint geometry influences the CSP reliability. A second study is a tolerance analysis for six parameters. These parameters can have a tolerance (=accuracy) of their nominal value, and it is shown that these small tolerances can have a significant influence on the solder joint reliability.

Elemental chlorine-free bleaching of North American hardwood kraft pulps: Evaluation of oxidant-reinforced extraction variables on overall bleaching optimization

TAPPI Journal ◽  
2013 ◽  
Vol 12 (10) ◽  
pp. 33-41 ◽  
Author(s):  
BRIAN N. BROGDON
Keyword(s):  
Response Surface ◽  
Chlorine Dioxide ◽  
North American ◽  
Yield Loss ◽  
Alkaline Extraction ◽  
Kraft Pulps ◽  
Pulp Bleaching ◽  
Response Surface Models ◽  
Elemental Chlorine ◽  
Surface Models

This investigation evaluates how higher reaction temperatures or oxidant reinforcement of caustic extraction affects chlorine dioxide consumption during elemental chlorine-free bleaching of North American hardwood pulps. Bleaching data from the published literature were used to develop statistical response surface models for chlorine dioxide delignification and brightening sequences for a variety of hardwood pulps. The effects of higher (EO) temperature and of peroxide reinforcement were estimated from observations reported in the literature. The addition of peroxide to an (EO) stage roughly displaces 0.6 to 1.2 kg chlorine dioxide per kilogram peroxide used in elemental chlorine-free (ECF) bleach sequences. Increasing the (EO) temperature by Δ20°C (e.g., 70°C to 90°C) lowers the overall chlorine dioxide demand by 0.4 to 1.5 kg. Unlike what is observed for ECF softwood bleaching, the presented findings suggest that hot oxidant-reinforced extraction stages result in somewhat higher bleaching costs when compared to milder alkaline extraction stages for hardwoods. The substitution of an (EOP) in place of (EO) resulted in small changes to the overall bleaching cost. The models employed in this study did not take into account pulp bleaching shrinkage (yield loss), to simplify the calculations.

Experimental evaluation of SnAgCu solder joint reliability in 100-μm pitch flip-chip assemblies

2014 ◽  
Vol 54 (5) ◽  
pp. 939-944 ◽  
Author(s):  
Ye Tian ◽  
Xi Liu ◽  
Justin Chow ◽  
Yi Ping Wu ◽  
Suresh K. Sitaraman
Keyword(s):  
Solder Joint ◽  
Experimental Evaluation ◽  
Flip Chip ◽  
Solder Joint Reliability ◽  
Snagcu Solder ◽  
Joint Reliability
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