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

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elow, where <br />

is the total strain rate (1/sec), is the stress (MPa), E is the elastic modulus, T<br />

is the temperature, n is 1Mpa, A1 is 4.0 x10 -7 1/sec and A2 is 1.0 x 10 -12 1/sec, D1 is<br />

3223 <br />

exp<br />

<br />

T and D2<br />

7348 <br />

is exp<br />

.<br />

The second term in the equation (5-5) represents the<br />

T <br />

climb controlled creep strain and the third term represents the combined glide/climb strain. Syed<br />

[93] has applied this creep model to develop a fatigue life model <strong>for</strong> SnAgCu solders.<br />

<br />

3 12<br />

<br />

AD 1 1 AD 2 2<br />

<br />

E n n <br />

102<br />

(5-5)<br />

Zhang et a1. [94] and Schubert et a1. [95] generated data from different sources and from<br />

their own testing on different compositions of SnAgCu solder. They both modeled the steady<br />

state creep behavior using the hyperbolic sine function, and postulated the high stress region as a<br />

power law break-down region. The constitutive model proposed by both of them predicted very<br />

similar behavior at low stresses but start diverging at higher stresses. On the other hand, the<br />

model proposed by Wiese et a1. [92] predicts lower creep rate at low stresses. Figure 5.4<br />

compares the creep curves <strong>for</strong> SAC solder from different constitutive models as mentioned here.<br />

Equation (5-6) represent the constitutive model of Schubert and Zhang, where A1 = 277984 s -1 ,<br />

=0.02447MPa -1 , n=6.41, H1/k =6500, E(MPa)=61251-58.5T( o K), CTE=20ppm/K, Poisson’s<br />

ration = 0.36 .<br />

H kT <br />

<br />

n<br />

1<br />

cr A1<br />

sinh exp<br />

<br />

<br />

(5-6)

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