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FIGURE 59.5 A typical two-parameter Weibull distribution. The plot shows two data sets with different shape parameter (b) values but comparable characteristic life (h). Extrapolating to 1 percent failure free life shows that the 90 percent lower-bound confidential interval for data set 1 is lower than that for data set 2, even though the characteristic lives are comparable.

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Because we will be using two potentiometers to read data into our experiments in real time, in many of our experiments it will be worth our while to make up a little module that can be plugged into the education kit whenever needed to allow us to read two potentiometers. The module I made up is shown in Figure 16-6. The wiring for the module is shown in Figure 16-7.

The functional form of the Anand model is given as shown in Eqs. 59.2 through 59.5.11, 12 m Q p = A sin h s exp kT where e p = inelastic strain rate A = experimentally determined empirical constant Q = activation energy R = gas constant x = stress multiplier s = equivalent stress s = internal state variable m = strain rate sensitivity parameter s = ho B

(59.2)

(59.3)

s B = 1 s*

(59.4)

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Figure 16-7 Wiring diagram for the code shown in Program 16-3

(59.5)

Another option for using a Popup component is where you want to show some additional information to help the user, but feel that a pop-up dialog with a window title and buttons is

ho = hardening/softening constant a = hardening/softening strain rate sensitivity coefficient s* = saturation value of s for a given set of temperature and strain rate data s = saturation coefficient n = strain rate sensitivity coefficient for the saturation value of deformation resistance

The relevant material property information on the solder composition close to that recommended by iNEMI13 (Sn3.9Ag0.6Cu) is listed in Table 59.2.

TABLE 59.2 Material Properties: Anand s Constants for Lead-Free Solder Reference Solder material Strain rate range Specimens used S0 (MPa) Q/R (K) A (sec-1) x m ho S n a Pei & Qu14 95.5Sn3.8Ag0.7Cu 25 180 C 1 mm dog bone 21.57 10041 9450.6 1.1452 0.1158 133.8025 13.3372 0.0402 0.1082 Rodgers15 95.5Sn3.8Ag0.7Cu 20 125 C 4 mm dia. dog bone 24.04 11049 8.75e+06 4.12 0.23 9537 90.37 2.26e 10 1.2965 Reinikainen16 95.5Sn3.8Ag0.7Cu 1.3 9000 500 7.1 0.3 5900 39.4 0.03 1.4

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One disadvantage of the Anand model is that it mainly captures steady-state creep of solder, but it does not capture primary creep (see Fig. 59.6). Since a significant portion of solder joints field life is spent in the primary creep phase, it is difficult to predict fatigue life driven by end-use conditions. In other words, although the Anand model can be successfully used in predicting the fatigue life of solder joints tested in laboratory conditions, it may not be very accurate in predicting the fatigue life of solder joints in field use conditions.What may be needed is a time-hardening creep model that can better capture primary, secondary (steady-state), and tertiary creep. Another model that proposes the incorporation of primary and tertiary creep strain rates is the A- model.17 This model proposes that the primary creep strain rate be represented as an exponential decay function of increasing creep strain, and the tertiary creep strain rate be represented as an exponential growth function of increasing creep strain. However, this model is relatively new and has not been validated with independent experimental reliability data across the industry. Other models available in the literature for different lead-free solder metallurgies are listed in Table 59.3. A more comprehensive list of mechanical material properties of lead-free solders and other materials used in electronic packages can be found in Reference 22.

We will add the code to read the two potentiometers to the Utilities object as two independent methods for the two potentiometers. This will allow us to read each potentiometer independently to whatever resolution we desire, with 8 bits and 12 bits being the most frequently used. Later on, if we want to modify one of the methods to read one of the potentiometers in some different way, we will be able to do so. The wiring diagrams for using the MCP3202 and the MCP3208 are given in Figures 16-8 and 16-9.

Creep Strain (e)

FIGURE 59.6 A typical creep strain versus time curve for viscoplastic materials. The curve shows that creep strain starts out as a non-linear curve, becomes steady for a significant period, and then increases significantly into tertiary creep. Most of the life of a solder joint is spent in the primary and secondary creep strain range of the curve.

C 2

15:

Constant C1 (s ) C2 C3 (MPa 1) C4 (K)

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