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Value 8 10 12 1 8,996.57 10 6 3 34.6 10 12 12 59.1 32000 37 10 5.1 6524.7

else), we will use the MCP3202 A-to-D module as our peripheral chip to do so. We will always read the device to a resolution of 12 bits so that we will always get a value between 0 and 4,095.

9 11

= C1 [(C3 )]

A1 (s 1) n1 Q1/R (K) A2 (s 1) n2 Q2/R (K)

(Double power law) C d C = C1 [sin h(C2 )] 3 exp 4 dt T (Garofalo creep) Sn3.8Ag0.7Cu

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

note A photograph that supports this wiring is shown in Figure 16-6. note Two channels are shown, each represented by one potentiometer.

more than you really need. In this case you can use a Note Window component as a child of the Popup component. This is particularly useful if, for example, you want to display some additional information about a product and don t require the visual overhead of a pop-up dialog. You also have some options on how you display this pop-up note window. Rather than displaying the pop-up note window when a button is clicked, you might want to define that it be displayed when the user hovers over, or clicks in, a specific field.

Norris-Landzberg Acceleration Transformation PWB designers typically receive a failure distribution plot (see Fig. 59.5) as part of a secondlevel package qualification report. This failure distribution plot is typically obtained in a thermal cycle oven under controlled temperature profiles that include the maximum and minimum

temperatures (Tmax and Tmin, respectively) of the thermal cycle along with the frequency ( f ) of the experimental thermal cycle. The designer must then relate these experimental data obtained under ideal conditions to a different thermal cycle condition (or conditions) encountered in the product end-use environment. Although relative comparisons of two packages thermally cycled under identical conditions can be made in a ranking sense, this type of analysis yields no information regarding the actual lifetime of the solder joints under field loading conditions. This section focuses on the mapping of a laboratory thermal cycle to different enduse thermal profiles using strain as a damage metric. 59.2.4.1 Fatigue Behavior. The fatigue behavior of many metals (including Pb/Sn and leadfree solder alloys) can be described by the Coffin-Manson relationship (Eq. 59.6),9 which relates the fatigue life of a metal to the plastic strain the material experiences during loading. Elastic strain is the reversible or recoverable deformation that occurs during a loading cycle. Plastic strain is the amount of irreversible (or permanent) deformation that occurs during a loading cycle.

where e = total strain per cycle ep = plastic portion of the cyclic strain ee = elastic portion of the cyclic strain Nf = number of cycles to failure A,B,c,m = experimentally determined empirical constants

(59.6)

Most solder joints fail in the low cycle fatigue region (less than 10,000 cycles to failure),9 where strain is primarily plastic. Thus, neglecting the elastic component of strain, Eq. 59.6 can be simplified and rearranged to yield a relationship between the number of cycles to failure and the plastic strain (see Eq. 59.7).9 Nf = ( A / p)1/ m where ep = plastic portion of the cyclic strain Nf = number of cycles to failure A,m = experimentally determined constants (59.7)

When you need to read two lines, you can use the wiring setup shown for an MCP3202 in Figure 16-10, later in this chapter. Only one potentiometer is shown there, but two can be read. The code for the eight-line 3208 chip is not given but can be easily developed from the code for the 3202 (see the data sheet). You have to use three clock/read cycles in the code so that eight lines can be specified.

This can be further simplified to the most common form of the Coffin-Manson relationship shown in Eq. 59.8.9 Nf c p where ep = plastic portion of the cyclic strain Nf = number of cycles to failure c = an experimentally determined empirical constant (59.8)