Bending, buckling and vibration problems of nonlocal Euler beams using Ritz method

By S. Ghannadpour, Bijan Mohammadi, J. Fazilati. 2013

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Nonlocal nonlinear free vibration of functionally graded nanobeams (2014, background): “Various nonlocal beam theories are used for bending, buckling, post-buckling, linear transverse and longitudinal vibration, and instability analyses of single-and multi-walled carbon nanotubes (CNTs) [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23].”
Buckling analysis of arbitrary two-directional functionally graded Euler–Bernoulli nano-beams based on nonlocal elasticity theory (2016, methodology): “It can be seen that there is an excellent agreement between the results obtained in this paper and those reported in ( Ghannadpour et al., 2013; Pradhan & Phadikar, 2009; Wang et al., 2006 ).”