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Advances in Aircraft and Spacecraft Science Volume 13, Number 2, June 2026 , pages 195-215 DOI: https://doi.org/10.12989/aas.2026.13.2.195 |
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A refined shear deformation model for mechanical buckling analysis of functionally graded transparent architectural shell structures |
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Djilalli Mokhefi, Ahmed Bakoura, Fouad Kherbouche, Ali Belhocine,
Ahmed Amine Daikh, Mohammed Sid Ahmed Houari
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| Abstract | ||
| This study introduces a refined and computationally efficient hyperbolic Shear-Order Shear Deformation Theory (HypSDT) with only four displacement variables for the buckling analysis of functionally graded transparent (FGT) doubly curved shells. By reducing the number of unknowns compared with conventional FSDT formulations, the proposed model achieves high accuracy while improving computational efficiency. The analysis focuses on shells made of sapphire and soda lime glass, and the governing equations are derived using Minimum Total Potential Energy's principle before being solved analytically through the Navier approach for simply supported boundary conditions. The numerical results show that the critical buckling load is highly sensitive to the material gradation index, with higher values of k leading to lower stiffness and reduced buckling resistance. The study also reveals that spherical shells provide the greatest structural stability because of their balanced double curvature, whereas biaxial loading and larger radius-to-side ratios significantly decrease the buckling capacity. Overall, the proposed formulation provides an accurate and efficient tool for the design and analysis of lightweight, transparent shell structures intended for modern architectural and advanced aerospace applications. | ||
| Key Words | ||
| analytical solution; doubly curved shells; functionally graded materials; refined hyperbolic shear deformation theory; sapphire; soda-lime glass ; structural stability; transparent shells | ||
| Address | ||
| Djilalli Mokhefi, Ali Belhocine, 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 Ahmed Bakoura: Département de Génie Civil, Faculté d'Architecture et de Génie Civil, Université des Sciences et de la Technologie d'Oran, BP 1505 El M'naouer, USTO, Oran, Algeria; Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, University of Sidi Bel Abbes, Algeria Fouad Kherbouche: Laboratory of Science and Technology of Water (LSTE), Department of Electrical Engineering, University of Mustapha Stambouli, Mascara, BP 305, Algeria Ahmed Amine Daikh: 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; Artificial Intelligence Laboratory for Mechanical and Civil Structures, and Soil, University Centre of Naama, Naama, Algeria | ||
