Eshelby–Mori–Tanaka approach for vibrational behavior of continuously graded carbon nanotube-reinforced cylindrical panels

Isogeometric analysis of functionally graded carbon nanotube-reinforced composite plates using higher-order shear deformation theory

“…A comparative study between Mori-Tanaka scheme and the rule of mixtures was performed in Ref. [39]. Besides, the accuracy of the rule of mixtures was also discussed and an excellent agreement with Mori-Tanaka was reported in Ref.…”

Multiscale Modeling of Nanoreinforced Composites

“…In this section, we will use Mori-Tanaka method to scale up the elastic properties of the pure epoxy and the effective fiber, which are determined using MD simulations, to the bulk level. This method has been successfully employed to similar problems by many researchers (Jam et al 2013;Sobhani Aragh et al 2012). Mori-Tanaka model can be developed by utilizing the elastic properties of the nanocomposite containing transversely isotropic aligned CNT or the orthotropic wavy CNT and the isotropic elastic properties of the pure epoxy.…”

Postbuckling of carbon nanotube-reinforced functionally graded cylindrical panels under axial compression using a meshless approach

“…1 CNT-rich. As it is well described that the structure of CNT extensively affects the effective material properties of CNT-reinforced materials [24][25][26][27], several micromechanical models have been successfully developed to predict the effective material properties of CNT-reinforced nanocomposites, such as Eshelby-Mori-Tanaka scheme [28][29][30] and the extended rule of mixture [14,31]. Compared with the Mori-Tanaka scheme applicable to microparticles, the rule of mixture is simple and convenient to obtain the overall material properties and responses of the CNTR-FG structures.…”