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Coupled Systems Mechanics Volume 14, Number 2, April 2025 , pages 161-173 DOI: https://doi.org/10.12989/csm.2025.14.2.161 |
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Application of a new improved Airy polynomial function for FGM cantilever beams under concentrated load |
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Abdelaziz Hadj Henni and Tahar Hassaine Daouadji
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| Abstract | ||
| This paper addresses the plane stress problem of a cantilever functionally graded beam subjected to concentrated load. The material properties of the beam vary continuously through thickness, according to a powerlaw distribution of volume fraction. The existing solution focuses on resolving differential equations, but a new Airy function proposal is proposed. The paper examines the effect of material graduation on the degree of polynomial degree. A simple formulation developed to predict stress and displacement distributions relative to structural problems. The proposed model validated by comparison with existing literature, ensuring stability and resistance of the materials. A numerical example presented to show the effect of material inhomogeneity on the elastic field in a functionally graded cantilever beam. | ||
| Key Words | ||
| airy polynomial function; anisotropy; cantilever beams; functionally graded materials; static analysis | ||
| Address | ||
| Abdelaziz Hadj Henni: Department of Civil Engineering, Ibn Khaldoun University of Tiaret, Algeria Tahar Hassaine Daouadji: Department of Civil Engineering, Ibn Khaldoun University of Tiaret, Algeria; Laboratory of Geomatics and Sustainable Development LGéo2D, University of Tiaret, Algeria | ||
