Large cylindrical deflection analysis of FG carbon nanotube-reinforced plates in thermal environment using a simple integral HSDT

Nassira Djilali, Abdelmoumen Anis Bousahla, Abdelhakim Kaci, Mahmoud M. Selim, Fouad Bourada, Abdeldjebbar Tounsi, Abdelouahed Tounsi, Kouider Halim Benrahou and S.R. Mahmoud

Abstract

This work presents a non-linear cylindrical bending analysis of functionally graded plate reinforced by singlewalled carbon nanotubes (SWCNTs) in thermal environment using a simple integral higher-order shear deformation theory (HSDT). This theory does not require shear correction factors and the transverse shear stresses vary parabolically through the thickness. The material properties of SWCNTs are assumed to be temperature-dependent and are obtained from molecular dynamics simulations. The material properties of functionally graded carbon nanotube-reinforced composites (FG-CNTCRs) are considered to be graded in the thickness direction, and are estimated through a micromechanical model. The non-linear strain–displacement relations in the Von Karman sense are used to study the effect of geometric non-linearity and the solution is obtained by minimization of the total potential energy. The numerical illustrations concern the nonlinear bending response of FG-CNTRC plates under different sets of thermal environmental conditions, from which results for uniformly distributed CNTRC plates are obtained as benchmarks.

Key Words

functionally graded materials; geometric non-linearity plate; integral HSDT; nanocomposites; thermal environment

Address

Nassira Djilali: Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria Abdelmoumen Anis Bousahla: Laboratoire de Modélisation et Simulation Multi-échelle, Université de Sidi Bel Abbés, Algeria Abdelhakim Kaci: Université Dr Tahar Moulay, Faculté de Technologie, Département de Génie Civil et Hydraulique, BP 138Cité En-Nasr 20000 Saida, Algérie Mahmoud M. Selim: Department of Mathematics, Al-Aflaj College of Science and Humanities, Prince Sattam bin Abdulaziz University, Al-Aflaj 710-11912 Saudi Arabia Fouad Bourada: épartement des Sciences et de la Technologie, Université de Tissemsilt, BP 38004 Ben Hamouda, Algérie Abdeldjebbar Tounsi: Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria Abdelouahed Tounsi: 1)Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria 2)YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea 3)Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia 4)Interdisciplinary Research Center for Construction and Building Materials, KFUPM, Dhahran, Saudi Arabia Kouider Halim Benrahou:Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria S.R. Mahmoud: GRC Department, Applied College, King Abdulaziz University, Jeddah 21589, Saudi Arabia

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