Thermal buckling analysis of new functionally graded cylindrical shells

Abbes Ouadah , Ahmed Draï , Ahmed Amine Daikh , Noureddine Boualem , Tarek Merzouki , Mohamed Oudjedi Belarbi , Mohammed Sid Ahmed Houari , M.A. Eltaher

Abstract

This study investigates the thermal buckling behavior of novel functionally graded (FG) cylindrical shell, where material properties and thermal expansion coefficients vary continuously across the thickness using two newly introduced cosine functions, FG-A and FG-B. Equilibrium and stability equations for FG cylindrical pipes with simply supported boundary conditions are derived using Donnell's theory. The research examines how the geometric characteristics of cylindrical pipes and the inhomogeneity parameter (gradient index) collectively influence the critical buckling temperature of various functionally graded cylindrical structures. Thermal loads are assumed to vary uniformly, linearly, or nonlinearly across the thickness, with exact and simplified formulations provided for each temperature rise scenario.

Key Words

Donnell's theory; new FG cosine functions; thermal buckling; thermal loads

Address

Abbes Ouadah — Laboratory of Composites Structures and Innovative Materials (LCSIM), Mechanical Engineering Faculty, USTO-MB Oran, P.O. Box 1505 El- M'Naouer, Oran, Algeria
Ahmed Draï — Mechanical Engineering Department, Faculty of Sciences and Technology, Mustapha Stambouli University of Mascara, 29000, Algeria; Laboratory of Applied Biomechanics and Biomaterials (LABAB), ENPO, Oran, 31000, Algeria
Ahmed Amine Daikh — Artificial Intelligence Laboratory for Mechanical and Civil Structures, and Soil, University Centre of Naama, P.O. Box 66, Naama 45000, Algeria
Noureddine Boualem — Laboratory of Composites Structures and Innovative Materials (LCSIM), Mechanical Engineering Faculty, USTO-MB Oran, P.O. Box 1505 El- M'Naouer, Oran, Algeria
Tarek Merzouki — LISV, University of Versailles Saint-Quentin, 10-12 Avenue de l'Europe, 78140 Vélizy, France
Mohamed Oudjedi Belarbi — Laboratoire de Recherche en Génie Civil, LRGC, Université de Biskra, B.P. 145, R.P. 07000, Biskra, Algeria; Department of Civil Engineering, Lebanese American University, Byblos, Lebanon
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
M.A. Eltaher — Faculty of Engineering, Mechanical Engineering Department, King Abdulaziz University, P.O. Box 80204, Jeddah, Saudi Arabia; Faculty of Engineering, Mechanical Design and Production Department, Zagazig University, P.O. Box 44519, Zagazig, Egypt

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