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Structural Engineering and Mechanics Volume 72, Number 2, October25 2019 , pages 257-273 DOI: https://doi.org/10.12989/sem.2019.72.2.257 |
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Three-dimensional modelling of functionally graded beams using Saint-Venant |
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Mourad Khebizi, Hamza Guenfoud, Mohamed Guenfoud and Rached El Fatmi
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| Abstract | ||
| In this paper, the mechanical behaviour of functionally graded material beams is studied using the 3D Saint-Venant\'s theory, in which the section is free to warp in and out of its plane (Poisson\'s effects and out-of-plane warpings). The material properties of the FGM beam are distributed continuously through the thickness by several distributions, such as power-law distribution, exponential distribution, Mori-Tanaka schema and sigmoid distribution. The proposed method has been applied to study a simply supported FGM beam. The numerical results obtained are compared to other models in the literature, which show a high performance of the 3D exact theory used to describe the stress and strain fields in FGM beams. | ||
| Key Words | ||
| functionally graded material, ceramic, metal, modelling, beam, Saint-Venant theory, mechanical behaviour | ||
| Address | ||
| Mourad Khebizi/Mentouri University of Constantine Hamza Guenfoud/University of Guelma Mohamed Guenfoud/University of Guelma Rached El Fatmi/National Engineering School of Tunis | ||