The purpose of the analysis is to find our whether die attachment can
be made compliant enough to protect the chip from excessive bowing of
the substrate. We showed that in a typical situation, when the substra
te (card) has a significantly larger flexural rigidity than the chip,
the mechanical behavior of the chip-substrate assembly is governed by
a parameter u = l(4) root K/4D(I), where l is half the chip's length,
D-1 is its flexural rigidity, and K is the through-thickness spring co
nstant of the attachment We found that in order for a die attachment t
o have an appreciable effect on chip bowing, this parameter should be
considerably smaller than 2.5. In the performed numerical example, for
a 2 mil thick die attachment, this value corresponds to Young's modul
us of only 2300 psi. Therefore we conclude that conventional epoxy adh
esives cannot provide sufficient buffering effect in this case, and, i
f such adhesives are used, the curvature of the die will be practicall
y the same as the curvature of the substrate. In this situation, thinn
er dies will result in lower bending stresses. However, if low modulus
die attachment materials, such as silicone gels, are considered, then
employment of thicker dies might be advisable.