We propose a multiscale approach to study the influence of carbon nanotubes’agglomeration on the stability of hybrid nanocomposite plates.The hybrid nanocomposite consists of both macro-and nano-scale reinforcing fib...We propose a multiscale approach to study the influence of carbon nanotubes’agglomeration on the stability of hybrid nanocomposite plates.The hybrid nanocomposite consists of both macro-and nano-scale reinforcing fibers dispersed in a polymer matrix.The equivalent material properties are calculated by coupling the Eshelby-Mori-Tanaka model with the rule of mixture accounting for effects of CNTs inside the generated clusters.Furthermore,an energy based approach is implemented to obtain the governing equations of the problem utilizing a refined higher-order plate theorem.Subsequently,the derived equations are solved by Galerkin’s analytical method to predict the critical buckling load.The influence of various boundary conditions is studied as well.After validation,a set of numerical examples are presented to explain how each variant can affect the plate’s natural frequency.展开更多
Explicit expressions of Mori-Tanaka＇s tensor for a transversely isotropic fiber rein- forced UD composite are presented. Closed-form formulae for the effective elastic properties of the composite are obtained. In a 3...Explicit expressions of Mori-Tanaka＇s tensor for a transversely isotropic fiber rein- forced UD composite are presented. Closed-form formulae for the effective elastic properties of the composite are obtained. In a 3D sense, the resulting compliance tensor of the composite is symmetric. Nevertheless, the 2D compliance tensor based on a deteriorated Mori-Tanaka＇s tensor is not symmetric. Nor is the compliance tensor defined upon a deteriorated 2D Eshelby＇s tensor. The in-plane effective elastic properties given by those three approaches are different. A detailed comparison between the predicted results obtained from those approaches with experimental data available for a number of UD composites is made.展开更多
文摘We propose a multiscale approach to study the influence of carbon nanotubes’agglomeration on the stability of hybrid nanocomposite plates.The hybrid nanocomposite consists of both macro-and nano-scale reinforcing fibers dispersed in a polymer matrix.The equivalent material properties are calculated by coupling the Eshelby-Mori-Tanaka model with the rule of mixture accounting for effects of CNTs inside the generated clusters.Furthermore,an energy based approach is implemented to obtain the governing equations of the problem utilizing a refined higher-order plate theorem.Subsequently,the derived equations are solved by Galerkin’s analytical method to predict the critical buckling load.The influence of various boundary conditions is studied as well.After validation,a set of numerical examples are presented to explain how each variant can affect the plate’s natural frequency.
基金supported by the National Natural Science Foundation of China(No.11272238)Doctoral Fund of Ministry of Education of China(No.20120072110036)
文摘Explicit expressions of Mori-Tanaka＇s tensor for a transversely isotropic fiber rein- forced UD composite are presented. Closed-form formulae for the effective elastic properties of the composite are obtained. In a 3D sense, the resulting compliance tensor of the composite is symmetric. Nevertheless, the 2D compliance tensor based on a deteriorated Mori-Tanaka＇s tensor is not symmetric. Nor is the compliance tensor defined upon a deteriorated 2D Eshelby＇s tensor. The in-plane effective elastic properties given by those three approaches are different. A detailed comparison between the predicted results obtained from those approaches with experimental data available for a number of UD composites is made.
