  Polymers are increasingly used in the transport sector due to their many
advantages; lightness, corrosion resistance, ease to process... However, most
of them have limited mechanical properties. To improve these latter, one of the
solutions is the addition of nano-reinforcements, this type of material is
called nanocomposite. The particularity of these nanocomposites comes from the
influence of the interphase, which is an interaction zone between the
nanofillers and the matrix. It is therefore imperative to take it into account
in the mechanical prediction models.Several analytical schemes are available to
study nanocomposites. Some models use a serial or parallel representation of
the phases (rule of mixture, Ji model, ...), while others rely on the mean
field homogenization approach (Eshelby, Self-consistent, Mori-Tanaka, Double
Inclusion, ...).However, directly observing the interphase and its properties
experimentally is complex due to its size. Consequently, it is laborious to
check the consistency of its consideration in analytical schemes. To compare
these schemes, some limit cases of the interphase are studied. A numerical
model is also used as a reference for two nanocomposites with distinct
interphases.
