EAS Publisher | Analytical Solution for Bending of Functionally Graded Timoshenko Nanobeams Incorporating Surface Energy and Microstructure Effects

Analytical Solution for Bending of Functionally Graded Timoshenko Nanobeams Incorporating Surface Energy and Microstructure Effects

DOI : https://doi.org/10.36349/easjecs.2019.v02i02.008

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The bending response of functionally graded material (FGM) Timoshenko nanobeams is investigated analytically. The material properties of the nanobeam are assumed to vary continuously through the thickness via power law function. In the context of the modified couple stress and surface elasticity theories, the governing equations and boundary conditions are derived using Hamilton’s principle. The Navier solution is obtained for simply supported boundary condition, and exact formula is proposed for the deflection. Good agreement with literature is observed. Selected numerical results are presented to verify the efficiency of the present model.

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