Bending and stability analysis of gradient elastic beams

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Static, stability and dynamic analysis of gradient elastic flexural Kirchhoff plates (2008, methodology): “Among the plethora of applications of the above strain gradient theories with one or two constants besides the Lame constants, one can mention those in the works of Altan and Aifantis [11], Ru and Aifantis [12], Vardoulakis and Sulem [8], Exadaktylos and Vardoulakis [10], Tsepoura et al. [13], Papar”
Analysis of micro-sized beams for various boundary conditions based on the strain gradient elasticity theory (2012, methodology): “The variation of an integral of the type U = ∫ L 0 F ( w′′, w′′′ ) dx is obtained by using the following relation [40]”
Variational analysis of gradient elastic flexural plates under static loading (2010, positive): “plates by establishing variational principles, as it has been done for axial bars and flexural beams (Tsepoura et al., 2002; Papargyri-Beskou et al., 2003).”