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Agglomeration Effects on Static Stability Analysis of Multi-Scale Hybrid Nanocomposite Plates

Farzad Ebrahimi1, Ali Dabbagh2, Abbas Rastgoo2, Timon Rabczuk3, *

1 Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Noroozian Blvd., Qazvin, Iran.
2 School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran.
3 Institute of Research and Development, Duy Tan University, Da Nang, Vietnam.

* Corresponding Author: T. Rabczuk. Email: email.

Computers, Materials & Continua 2020, 63(1), 41-64.


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.


Cite This Article

F. Ebrahimi, A. Dabbagh, A. Rastgoo and T. Rabczuk, "Agglomeration effects on static stability analysis of multi-scale hybrid nanocomposite plates," Computers, Materials & Continua, vol. 63, no.1, pp. 41–64, 2020.


cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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