Abstract
This paper presents a novel and efficient First-Order Shear Deformation Theory (FSDT) utilizing only four unknown displacement variables to analyze the mechanical buckling behavior of functionally graded transparent (FGT) doubly curved shells, offering a significant reduction in numerical complexity compared to classical models. The study, which focuses on shells composed of Sapphire and Soda-lime glass, derives governing equations via Hamilton's principle and obtains closed-form Navier-type solutions for simply supported boundaries. Extensive parametric analyses reveal that the dimensionless critical buckling load is highly sensitive to the material gradation index k, with higher k values reducing stiffness and stability. The results demonstrate that spherical geometries provide the greatest buckling resistance due to their balanced double curvature, while biaxial loading and increasing radius-to-side ratios significantly diminish structural stability. This accurate and economical theoretical framework provides crucial insights for the design of lightweight, transparent, and high-performance structural components in modern architectural facades and advanced aerospace applications.
Address
Mohamed Soufiane Ibka: Laboratoire Signaux et Images (LSI), University of Science and Technology of Oran, Mohamed Boudiaf, Bir ELDjir, 31000, Algeria
Djilalli Mokhefi: 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, Algeria
Aicha Bessaim: 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, Algeria; Département de Génie Civil, Faculté d'Architecture et de G Civil, Université des Sciences et de la Technologie d
