In this paper theoretical models have been established that can account for
the gas transmission through nanocomposite laminates, consisting of an oxi
de layer of finite permeability containing defects, on a polymer sheet of f
inite thickness. The defect shapes can either be in the form of long cracks
or rectangular holes. The models offer a choice of exact numerical calcula
tions or fast and intuitive analytical approximations. The experimental mea
surements of oxygen permeation through four different SiOx/poly (ethylene t
erephthalate) samples that were strained to produce distributions or cracks
showed good agreement when compared with predicted results from the approx
imate analytic model. As a consequence of this observation, a key practical
conclusion is that, because of the logarithmic dependence of transmission
on the width of a crack, for a given strain it is better to have a small nu
mber of large cracks rather than a large number of small cracks. (C) 2001 E
lsevier Science B.V. All rights reserved.