In this paper; we first present a mathematical method that can be used
to predict the eutectic solder fillet shape for ceramic ball grid arr
ay joints. An underlying assumption is that the solder fillets on both
the module and the card sides can be represented as arcs. The fillets
' profiles are then calculated for the factors affecting the shape inc
luding solder volume, pad size, solder ball size, the wetting angle be
tween eutectic solder and solder ball, and the gap between solder ball
and pad The second parr of the paper focuses on design for reliabilit
y and investigates the effect of the interactions between the card-sid
e and the module-side solder fillets on CBGA solder joint reliability.
To this end, a central composite design of experiment is set up to sy
stematically vary the pad size and the eutectic solder volume on both
the module and the card sides. For each of the design settings, the pr
oposed mathematical method is used to calculate the solder fillet shap
e. Using ABAQUS and the modified Coffin-Manson relationship, the mean
fatigue life is predicted. The implications of the simulations are dis
cussed. In addition, a response surface model is presented to find the
optimum settings for maximum reliability. Finally, a comparison is ma
de for the fatigue life predictions obtained using the proposed mathem
atical method and the linear solder fillet assumption.