Bending and buckling of thin strain gradient elastic beams

By K. Lazopoulos, A. Lazopoulos. 2010

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Analysis of micro-sized beams for various boundary conditions based on the strain gradient elasticity theory (2012, methodology): “After this, modified couple stress, non-local elasticity, and strain gradient elasticity theories have been widely applied to static and dynamic analysis of beams [18–28], plates [29,30] and other type structures [31–33].”
Modelling size-dependent bending, buckling and vibrations of 2D triangular lattices by strain gradient elasticity models: Applications to sandwich beams and auxetics (2018, background): “, strain gradient and couple-stress theories, have been actively developed during the past years [15, 16, 17, 18, 19, 20, 21, 22, 23, 24].”
Bending and buckling of nonlocal strain gradient elastic beams (2017, methodology): “(65) is in the same form as that of Lazopoulos and Lazopoulos [59], but with different parameters.”
Longitudinal vibration analysis for microbars based on strain gradient elasticity theory (2014, methodology): “Bending and buckling analysis of gradient elastic beams was studied by Papargyri-Beskou et al. (2003b) and Lazopoulos and Lazopoulos (2010) on the basis of a Bernoulli-Euler beam model.”