A small volume fraction of Carbon Nanotubes (CNTs) added in a polymeric matrix increases significantly the
mechanical properties of the polymers. It is experimentally determined from the TEM images of CNT-based
nanocomposites that nanotubes don't stand straight in their embedded matrix and they have some curvature in their
shape. The load transfer mechanism between CNT and polymer matrix is also one of the most important issues which is
not understood explicitly, yet. In this paper a wavy Single Walled Carbon Nanotube (SWCNT) is modeled as inclusion
in a polymer matrix and its effective mechanical properties is studied. This model is based on using 3-D Representive
Volume Element (RVE) with long wavy CNT inclusions. The CNT is modeled as a continuum hollow cylindrical shape
elastic material with some curvature in its shape. The effect of the waviness of the CNT inclusions and its parameters is
studied. We used a new approach in the modeling of interaction between the CNT/matrix at the interface. This approach
consists of modeling the physical interaction between CNT and polymeric matrix from point of view of the classical
contact phenomenon between two flexible bodies. The results of this new approach are compared with perfectly bonded
interface and also those obtained from the rule of mixtures. Results show that the Effective Young Modulus (EYM) of
the CNT-based nanocomposites for modeling the interaction of CNT/polymer from the point of view of classical contact
approach is slightly smaller than the perfectly bonded condition and is more near to experimental reports. It is also
showed that increasing the amplitude of wavy CNT or decreasing its wavelength decreases the EYM of the CNT-based
nanocomposites s which is in good agreement with the literature. There were also, a linear relation between the EYM of
the CNT-based nanocomposites and the volume fraction of CNT inclusions which was observed by the other authors.
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