A Nonlocal Finite Element Model for Buckling and Vibration of Functionally Graded Nanobeams

AI Aria (Tabriz University, Iran) & MI Friswell (Swansea University)

Composites Part B: Engineering, Vol. 166, 1 June 2019, pp. 233-246


In this paper, a nonlocal (strain-driven) finite element model is presented to examine the free vibration and buckling behaviour of functionally graded (FG) nanobeams on the basis of first-order shear deformation theory (FSDBT). The proposed beam element has five nodes and ten degrees of freedom. The material properties of the FG nanobeam are assumed to vary in the thickness direction according to the power-law form. The stretching-bending coupling effect is eliminated by employing the neutral axis concept. Governing equations are deduced with the aid of Hamilton's principle. Buckling loads and natural frequencies are calculated for different nonlocal coefficients, boundary conditions (BCs), power-law indices, and span-to-depth ratios. The accuracy of the proposed element is verified by comparing with available benchmark results in the literature.

Paper Availability

This material has been published in Composites Part B: Engineering, Vol. 166, 1 June 2019, pp. 233-246, the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by Elsevier.

Link to paper using doi: 10.1016/j.compositesb.2018.11.071

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