09.06.2013 Views

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 ...

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Figure 5.1 Global modeling with highly refined mesh <strong>for</strong> the solder joint [85]<br />

2. Sub-structuring and Submodeling<br />

The sub-structuring approach is a procedure that condenses a selection of global model<br />

material elements into a sub-structure, which is called a super-element. The unit load of this sub-<br />

structure is obtained by analyzing the global model over 1 degree rise or fall of temperature <strong>for</strong><br />

temperature cycling or unit displacement <strong>for</strong> bend cycle. Using appropriate scaling factors, the<br />

super-element can be repeatedly used <strong>for</strong> multiple bend or temperature cycle conditions [84].<br />

Application of sub-structuring in solder joint reliability models has been discussed in previous<br />

publications by Sycd [87]. The limitation of using this method is that materials having non-linear,<br />

temperature dependent behavior cannot be used as the super-element.<br />

The sub-modeling approach is the reduction of the entire global model to a single critical<br />

solder joint along with its rest of the package. The boundary displacements extracted from the<br />

global model <strong>for</strong> the critical solder joint are applied to a highly refined local solder joint model<br />

[88]. Refinements of the mesh in the submodel and the coarse mesh in the octant global model<br />

96

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!