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Structural Engineering and Mechanics Volume 86, Number 6, June25 2023 , pages 731-738 DOI: https://doi.org/10.12989/sem.2023.86.6.731 |
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Nonlocal strain gradient theory for bending analysis of 2D functionally graded nanobeams |
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Aicha Bessaim, Mohammed Sid Ahmed Houari, Smain Bezzina, Ali Merdji, Ahmed Amine Daikh, Mohamed-Ouejdi Belarbi and Abdelouahed Tounsi
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| Abstract | ||
| This article presents an analytical approach to explore the bending behaviour of of two-dimensional (2D) functionally graded (FG) nanobeams based on a two-variable higher-order shear deformation theory and nonlocal strain gradient theory. The kinematic relations are proposed according to novel trigonometric functions. The material gradation and material properties are varied along the longitudinal and the transversal directions. The equilibrium equations are obtained by using the virtual work principle and solved by applying Navier's technique. A comparative evaluation of results against predictions from literature demonstrates the accuracy of the proposed analytical model. Moreover, a detailed parametric analysis checks for the sensitivity of the bending and stresses response of (2D) FG nanobeams to nonlocal length scale, strain gradient microstructure scale, material distribution and geometry. | ||
| Key Words | ||
| 2D FG beams; deflections and stresses; higher order nonlocal strain gradient theory; navier's solution | ||
| Address | ||
| Aicha Bessaim. Mohammed Sid Ahmed Houari: Laboratoire d | ||