Buckling of functionally graded porous metal foam nanoshells

Ahmed Amine Daikh, Oussama Djedidi, Omar Allali, Mohamed Ouejdi Belarbi, Loubna Nadji, Mohammed Sid Ahmed Houari, Mohamed A. Eltaher and Azza M. Abdraboh

Abstract

This paper explores the buckling behavior of advanced composite nanoshells composed of functionally graded materials, such as porous metal form nanoshells, employing higher-order shear deformation theory, nonlocal strain gradient theory, and the principle of virtual work. The study applies the Galerkin method to analyze different boundary conditions. Mathematical formulations are developed to predict buckling loads and modes in FGM nanoshells under various conditions, incorporating considerations of material gradients and geometrical configurations. The results obtained from calculations are presented and discussed, detailing critical buckling loads and the impact of geometric and material parameters on the structural stability of FGM nanoshells. These findings contribute to advancing the understanding of buckling phenomena in nanoscale composite structures and provide insights for optimizing their mechanical performance in practical engineering applications.

Key Words

buckling behavior; FG porous metal foam; Galerkin technique; higher-order shear deformation theory; nonlocal strain gradient theory

Address

Ahmed Amine Daikh: Artificial Intelligence Laboratory for Mechanical and Civil Structures, and Soil, University Centre of Naama, P.O. Box 66, Naama 45000, Algeria Oussama Djedidi: Department of Mechanical Engineering, University Centre of Naama, P.O. Box 66, Naama 45000, Algeria Omar Allali: Department of Mechanical Engineering, University Centre of Naama, P.O. Box 66, Naama 45000, Algeria Mohamed Ouejdi Belarbi: Laboratoire de Recherche en Génie Civil, LRGC, Université de Biskra, B.P. 145, R.P. 07000, Biskra, Algeria Loubna Nadji: Artificial Intelligence Laboratory for Mechanical and Civil Structures, and Soil, University Centre of Naama, P.O. Box 66, Naama 45000, Algeria Mohammed Sid Ahmed Houari: Laboratoire d'Etude des Structures et de Mécanique des Matériaux, Département de Génie Civil, Faculté des Sciences et de la Technologie, Université Mustapha Stambouli B.P. 305, R.P.29000 Mascara, Algérie Mohamed A. Eltaher: Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University (KAU), P.O. Box 80204, Jeddah, Saudi Arabia; Mechanical Design and Production Department, Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt Azza M. Abdraboh: Physics Department, Faculty of Science, Benha University, Benha, Egypt

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