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Advances in Nano Research
  Volume 8, Number 2, February 2020 , pages 135-148

Mechanical buckling of FG-CNTs reinforced composite plate with parabolic distribution using Hamilton's energy principle
Tayeb Si Tayeb, Mohamed Zidour, Tayeb Bensattalah, Houari Heireche, Abdelillah Benahmed and E.A. Adda Bedia

    The incorporation of carbon nanotubes in a polymer matrix makes it possible to obtain nanocomposite materials with exceptional properties. It's in this scientific background that this work was based. There are several theories that deal with the behavior of plates, in this research based on the Mindlin-Reissner theory that takes into account the transversal shear effect, for analysis of the critical buckling load of a reinforced polymer plate with parabolic distribution of carbon nanotubes. The equations of the model are derived and the critical loads of linear and parabolic distribution of carbon nanotubes are obtained. With different disposition of nanotubes of carbon in the polymer matrix, the effects of different parameters such as the volume fractions, the plate geometric ratios and the number of modes on the critical load buckling are analysed and discussed. The results show that the critical buckling load of parabolic distribution is larger than the linear distribution. This variation is attributed to the concentration of reinforcement (CNTs) at the top and bottom faces for the X-CNT type which make the plate more rigid against buckling.
Key Words
    nanotubes; shear deformation; parabolic distribution; buckling; volume fractions
(1) Tayeb Si Tayeb, Mohamed Zidour, Houari Heireche, Abdelillah Benahmed:
Laboratory of Modeling and Multi-Scale Simulation, Department of Physics, Faculty of Exact Science University of Sidi Bel Abbes, Algeria;
(2) Tayeb Si Tayeb, Houari Heireche, Abdelillah Benahmed:
University Djillali Liabes of Sidi-Bel-Abbès, BP 89, Sidi Bel Abbès 22000, Algeria;
(3) Mohamed Zidour, Tayeb Bensattalah:
Université of tiaret, BP 78 Zaaroura, 14000 Tiaret, Algeria;
(4) Mohamed Zidour, Tayeb Bensattalah:
Laboratory of Geomatics and Sustainable Development, Ibn Khaldoun University of Tiaret, Algeria;
(5) E.A. Adda Bedia:
Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia.

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