A micro-scale modeling of Kirchhoff plate based on modified strain-gradient elasticity theory

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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.”
Nonlinear static and transient isogeometric analysis of functionally graded microplates based on the modified strain gradient theory (2017, unknown): “[38, 39, 42, 43, 45] and the extended Kantorovich method [34, 37].”
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]”