Static and dynamic behavior of (FG-CNT) reinforced porous sandwich plate using energy principle

Mohammed Medani , Abdelillah Benahmed , Mohamed Zidour , Houari Heireche , Abdelouahed Tounsi , Abdelmoumen Anis Bousahla , Abdeldjebbar Tounsi , S.R. Mahmoud

Abstract

This paper deals with the static and dynamic behavior of Functionally Graded Carbon Nanotubes (FG-CNT)-reinforced porous sandwich (PMPV) polymer plate. The model of nanocomposite plate is investigated within the first order shear deformation theory (FSDT). Two types of porous sandwich plates are supposed (sandwich with face sheets reinforced / homogeneous core and sandwich with homogeneous face sheets / reinforced core). Functionally graded Carbon Nanotubes (FG-CNT) and uniformly Carbon Nanotubes (UD-CNT) distributions of face sheets or core porous plates with uniaxially aligned single-walled carbon nanotubes are considered. The governing equations are derived by using Hamilton's principle. The solution for bending and vibration of such type's porous plates are obtained. The detailed mathematical derivations are provided and the solutions are compared to some cases in the literature. The effect of the several parameters of reinforced sandwich porous plates such as aspect ratios, volume fraction, types of reinforcement, number of modes and thickness of plate on the bending and vibration analyses are studied and discussed. On the question of porosity, this study found that there is a great influence of their variation on the static and vibration of porous sandwich plate.

Key Words

nanotubes; FG-CNTRC; bending; shear deformation; nanocomposite; porosities; sandwich

Address

(1) Mohammed Medani, Abdelillah Benahmed, Houari Heireche — University Djillali Liabes- Sidi-Bel-Abbès, BP 89, Sidi Bel Abbès 22000, Algeria
(2) Mohammed Medani, Abdelillah Benahmed, Houari Heireche, Abdelmoumen Anis Bousahla — Laboratory of Modeling and Multi-Scale Simulation, Department of Physics, Faculty of Exact Science University of Sidi Bel Abbes, Algeria
(3) Mohamed Zidour — University Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algeria
(4) Mohamed Zidour — Laboratory of Geomatics and Sustainable Development, University of Ibn Khaldoun-Tiaret, Algeria
(5) Abdelouahed Tounsi, Abdeldjebbar Tounsi — Laboratory of Materials and Hydrology, University of Sidi Bel Abbes, BP 89 Ben M'hidi, 22000 Sidi Bel Abbes, Algeria
(6) Abdelouahed Tounsi — Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia
(7) Abdelmoumen Anis Bousahla — Centre Universitaire Ahmed Zabana de Relizane, Algérie
(8) S.R. Mahmoud — GRC Department, Jeddah Community College, King Abdulaziz University, Jeddah 21589, Saudi Arabia.

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