Enhanced Polymer Passivation Layer for Wafer Level Chip Scale ...

Enhanced Polymer Passivation Layer for Wafer Level Chip Scale ... Enhanced Polymer Passivation Layer for Wafer Level Chip Scale ...

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, log E T T T (5-7) y 1 2 3 4 T, bT b bTb 3 4 1 2 (5-8) where T has unit of degree °C; strain rate for thermal cycling was usually correspond to 10 -4 1/s. Constants in equation (5-7) and (5-8) are given in Table 5.1. Table 5.1 Apparent modulus and yield stress constants for SAC solders [101] SAC solder 5.1.4 Solder-fatigue life Models 1 2 3 4 -0.0005 4.72 -0.117 37 b 1 2 b 3 b 4 b -0.1362 67.54 5.59E-4 0.0675 Approaches for modeling of solder joint reliability can be divided into five major categories: (a) stress-based, (b) plastic strain-based, (c) creep strain-based, (d) damage accumulation-based, and (e) energy-based. The stress-based model is based on the application of a stress to a component that can result in a strain. Typically, stress-based fatigue applies to vibrational or physically shocked or stressed components [102]. The strain-based model can be categorized into two groups: plastic strain and creep strain. Plastic strain deformation accounts for the time-independent plastic effects while creep strain 104

focus on the time-dependent effects [103]. Coffin-Manson, Solomon, Engelmaier, and Miner have proposed solder joint fatigue models based on plastic strain, and the Coffin-Manson fatigue model has become one of the most widely used approaches today. Creep strain fatigue models account strictly for the creep phenomenon involved in solder joints. Fox and Knecht have developed a simple matrix creep fatigue model relating the matrix creep shear strain range and solder microstructure [104], and later Syed [105] reported on the factors that affect matrix creep, grain boundary sliding. He also concluded a complex number of parameters that could affect the life prediction results. The damage-based fatigue models are based on calculating the overall damage done to the solder joint that are produced by crack propagation through the solder connection. This model is developed based on a fracture mechanics approach. Stolkarts[106] has reported successful application of this model over a damage-free model. The energy-based fatigue model is based on calculating the overall stress–strain hysteresis energy of the system or solder joint. This type of model has been increasingly used to predict the fatigue life of solder alloys. Over the years, Dasgupta[107], Akay[108], Liang et al [109], Wu et al. [110], Jung et al. [111], Gustafsson[112], and Darveaux[113] have proposed several finite element based analysis methodologies. Of all these methodologies, Darveaux’s model seems to be the most popular due to the ease in its implementation. It utilizes finite element analysis to calculate the viscoplastic strain energy density accumulated per cycle during thermal or power cycling. It links laboratory measurements of low-cycle fatigue crack growth rates and crack initiation to the inelastic work of the solder. The strain energy density is then utilized with crack growth data to calculate the number of cycles to initiate a crack, and the number of 105

, log <br />

<br />

E T T T<br />

(5-7)<br />

y<br />

1 2 3 4<br />

T, bT b<br />

<br />

bTb <br />

3 4<br />

1 2<br />

(5-8)<br />

<br />

where T has unit of degree °C; strain rate <strong>for</strong> thermal cycling was usually correspond to 10 -4 1/s.<br />

Constants in equation (5-7) and (5-8) are given in Table 5.1.<br />

Table 5.1 Apparent modulus and yield stress constants <strong>for</strong> SAC solders [101]<br />

SAC solder<br />

5.1.4 Solder-fatigue life Models<br />

1<br />

2<br />

3<br />

4<br />

-0.0005 4.72 -0.117 37<br />

b 1<br />

2 b 3 b 4 b<br />

-0.1362 67.54 5.59E-4 0.0675<br />

Approaches <strong>for</strong> modeling of solder joint reliability can be divided into five major<br />

categories: (a) stress-based, (b) plastic strain-based, (c) creep strain-based, (d) damage<br />

accumulation-based, and (e) energy-based.<br />

The stress-based model is based on the application of a stress to a component that can<br />

result in a strain. Typically, stress-based fatigue applies to vibrational or physically shocked or<br />

stressed components [102].<br />

The strain-based model can be categorized into two groups: plastic strain and creep strain.<br />

Plastic strain de<strong>for</strong>mation accounts <strong>for</strong> the time-independent plastic effects while creep strain<br />

104

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