Buckling behavior of nonlinear FG-CNT reinforced nanocomposite beam reposed on Winkler/Pasternak foundation

Rachid Zerrouki , Mohamed Zidour , Abdelouahed Tounsi , Abdeldjebbar Tounsi , Zakaria Belabed , Abdelmoumen Anis Bousahla , Mohamed Abdelaziz Salem , Khaled Mohamed Khedher

Abstract

This study investigates the buckling behavior of CNTRC beams on a Winkler-Pasternak elastic foundation, considering their stiffness. To achieve the highest accuracy, the shear stiffness is taken into account based on the Higher-order Shear Deformation Theory (HSDT). A novel exponential power-law distribution of the CNT volume fraction across the beam thickness is employed to model CNTRC beams. Various reinforcement patterns are incorporated into the polymer matrix, featuring single-walled carbon nanotubes (SWCNT) that are both aligned and distributed. The effective mechanical properties of the CNTRC beam are predicted using the rule of mixtures. Hamilton's principle is applied to derive the differential equations of motion. This theoretical framework enables the validation of the approach by comparing numerical simulation results with previous studies. The impact of the exponent order (n), CNT volume fraction, geometrical ratio, and Winkler-Pasternak parameters on buckling analysis is thoroughly presented and discussed. The results indicate that, among the different types of analyzed CNTRC beams, the X-Beam pattern demonstrates the highest buckling load capacity.

Key Words

beam; buckling; nanotube; Pasternak, shear deformation; volume fraction; Winkler

Address

Rachid Zerrouki — Laboratory of Geomatics and Sustainable Development, University of Tiaret, Algeria
Mohamed Zidour — 1) Laboratory of Geomatics and Sustainable Development, University of Tiaret, Algeria, 2) Civil Engineering Department, university of Tiaret, BP 78 Zaaroura, 14000 Tiaret, Algeria
Abdelouahed Tounsi — 1) Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia, 2) Interdisciplinary research center for Construction and Building Materials, KFUPM, 31261 Dhahran, Saudi Arabia, 3) Department of Civil and Environmental Engineering, Lebanese American University, 309 Bassil Building, Byblos, Lebanon, 4) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria
Abdeldjebbar Tounsi — 1) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria, 2) Industrial Engineering and Sustainable Development Laboratory, University of Rélizane, Faculty of Science & Technology, Mechanical Engineering Department, Algeria
Zakaria Belabed — Artificial Intelligence Laboratory for Mechanical and Civil Structures, and Soil, Institute of Technology, Naama University Center, BP 66, 45000 Naama, Algeria
Abdelmoumen Anis Bousahla — Laboratoire de Modélisation et Simulation Multi-échelle, Université de Sidi Bel Abbés, Algeria
Mohamed Abdelaziz Salem — Department of Mechanical Engineering, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia
Khaled Mohamed Khedher — Department of Civil Engineering, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia

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