A size-dependent Kirchhoff micro-plate model based on strain gradient elasticity theory

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A review on the mechanics of nanostructures (2018, background): “This stiffness hardening can be estimated incorporating surface effects [75-80] or strain gradients [52, 53, 81-86].”
A microstructure-dependent sinusoidal plate model based on the strain gradient elasticity theory (2015, background): “[36] and Movassagh and Mahmoodi [37] developed a non-classical Kirchhoff plate model based on this theory.”
Isogeometric analysis for sixth-order boundary value problems of gradient-elastic Kirchhoff plates (2017, methodology): “Only a few model problems with simple geometries and specific boundary conditions have been solved, and mostly by analytical means: by a series of trigonometric functions [28,29,32,33]; with separation of variables [34]; by a reduction into a onedimensional equation [29]; with a cubature method [35]”
Longitudinal vibration analysis for microbars based on strain gradient elasticity theory (2014, methodology): “Also, a size dependent Kirchhoff plate model was developed by Wang et al. (2011).”
Nonlinear static and transient isogeometric analysis of functionally graded microplates based on the modified strain gradient theory (2017, background): “[33], Sahmani and Ansari [44], Gholami et al.”
Modeling and analysis of micro-sized plates resting on elastic medium using the modified couple stress theory (2013, unknown): “[33].”