Variational analysis of gradient elastic flexural plates under static loading

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Size-dependent axial buckling analysis of functionally graded circular cylindrical microshells based on the modified strain gradient elasticity theory (2014, methodology): “[31] using the simplified form of Mindlin’s strain gradient theory.”
Isogeometric analysis for sixth-order boundary value problems of gradient-elastic Kirchhoff plates (2017, methodology): “3), the internal virtual work for the gradient-elastic Kirchhoff plate model over the plate midsurface Ω is given, for constant Lamé parameters, in the form [30,29] δW g int = ”
A non-classical Mindlin plate model based on a modified couple stress theory (2011, methodology): “This SSGET, which contains only one material length scale parameter, was also applied in [7,8] to derive non-classical equations of motion for Kirchhoff plates of strain gradient materials.”