In this paper a micromechanics approach is presented for determining the effective
elastic properties of single-walled carbon nanotube (SWCNT) reinforced composites,
while accounting for imperfect bonding in the matrix-inclusion interface. For
this purpose, a linear spring layer of vanishing thickness is introduced to
represent the interface. Furthermore, the well known Mori–Tanaka (MT)
method, in conjunction with the Eshelby’s tensor, is modified to determine the
effective elastic properties. The inclusions are considered to be either perfectly
aligned infinite long cylinders or aligned ellipsoidal inclusions with a given
aspect ratio; cases of perfect alignment or of randomly oriented fibers are
treated. The numerical results show that the interface weakening influences the
nanocomposite properties significantly only for high values of SWCNT volume
fraction. Since most of the currently conducted experiments involve composites
which contain small volume fractions, it is thus reasonable based on the
findings of this paper to assume perfect bonding for low nanotube volumetric
contents.