A general third-order theory of functionally graded plates with modified couple stress effect and the von Kármán nonlinearity: theory and finite element analysis

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Nonlinear static and transient isogeometric analysis of functionally graded microplates based on the modified strain gradient theory (2017, background): “Specifications of those boundary conditions are retrieved from [59, 61] and expressed below: SSSS1 u = θx = w = 0 at y = 0 and y = b (32a) v = θy = w = 0 at x = 0 and x = a (32b) SSSS3 u = v = w = 0 at all edges (33) CCCC u = v = θx = θy = w = ∂w ∂x = 0 at x = 0 and x = a (34a)”
Size-dependent nonlinear analysis and damping responses of FG-CNTRC micro-plates (2019, background): “[80] for various material length scale ratio h  = 0, 0.”
Geometrically nonlinear isogeometric analysis of functionally graded microplates with the modified couple stress theory (2017, methodology): “Reddy and his colleagues worked on the nonlinear finite element analysis (FEA) of FG microplates with different geometries and plate theories [28, 29].”