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Advances in Nano Research Volume 16, Number 5, May 2024 , pages 509-519 DOI: https://doi.org/10.12989/anr.2024.16.5.509 |
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Static analysis of nonlinear FG-CNT reinforced nano-composite beam resting on Winkler/Pasternak foundation |
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Mostefa Sekkak, Rachid Zerrouki, Mohamed Zidour, Abdelouahed Tounsi, Mohamed Bourada, Mahmoud M Selim and Hosam A. Saad
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| Abstract | ||
| In this study, the static analysis of carbon nanotube-reinforced composites (CNTRC) beams resting on a Winkler-Pasternak elastic foundation is presented. The developed theories account for higher-order variation of transverse shear strain through the depth of the beam and satisfy the stress-free boundary conditions on the top and bottom surfaces of the beam. To study the effect of carbon nanotubes distribution in functionally graded (FG-CNT), we introduce in the equation of CNT volume fraction a new exponent equation. The SWCNTs are assumed to be aligned and distributed in the polymeric matrix with different patterns of reinforcement. The rule of mixture is used to describe the material properties of the CNTRC beams. The governing equations were derived by employing Hamilton's principle. The models presented in this work are numerically provided to verify the accuracy of the present theory. The analytical solutions are presented, and the obtained results are compared with the existing solutions to verify the validity of the developed theories. Many parameters are investigated, such as the Pasternak shear modulus parameter, the Winkler modulus parameter, the volume fraction, and the order of the exponent in the volume fraction equation. New results obtained from bending and stresses are presented and discussed in detail. From the obtained results, it became clear the influence of the exponential CNTs distribution and Winkler-Pasternak model improved the mechanical properties of the CNTRC beams. | ||
| Key Words | ||
| beam; critical buckling; FG-CNTRC; nanotube; shear deformation; volume fraction | ||
| Address | ||
| Mostefa Sekkak and Mohamed Bourada: Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria Rachid Zerrouki and Mohamed Zidour: Laboratory of Geomatics and Sustainable Development, University of Tiaret, Algeria Abdelouahed Tounsi: Department of Civil and Environmental Engineering, Lebanese American University, 309 Bassil Building, Byblos, Lebanon/ Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia Mahmoud M Selim: Department of Mathematics, College of Science and Humanities, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia Hosam A. Saad: Department of Chemistry, College of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia | ||