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The elastic moduli were also over-estimated if inclusion aspect ratio or waviness followed symmetric distributions.

Surface visco-elastic moduli were also obtained at the air-water interface from spectral analysis of the correlation functions.

The moduli were also obtained by Halpin-Tsai equations with Tsai-Pagano methods and then compared to establish the influence of the aspect ratio.

Scanning electron microscopy (SEM), transmission electron microscopy (TEM) and X-ray diffraction (XRD) were used to study the structure of the coatings; hardnesses and elastic moduli were also determined by nanoindentation.

The storage and loss shear moduli were also demonstrated to extend the applicability of the proposed method.

The best levels of all moduli were also obtained by the highest "ϕ f " and "α," demonstrating a direct link between these parameters and the moduli of CPN containing pseudoparticles.

Their specific consistent tangent stiffness moduli are also developed.

The statistics of strain fields associated with microstructures producing minimum and maximum moduli are also compared.

The tensile and flexural moduli are also increased by the GO coating due to the excellent elastic modulus of GO.

The numerical aspects, such as the stress updating algorithm and the algorithmic consistent tangent moduli, are also discussed in details.

The evolution of the storage and loss moduli are also measured as a function of time using the rheometer which provides an information about the curing as well as the gelation.