Non-local elastic plate theories

By P. Lu, P. Zhang, H. P. Lee, Chien Ming Wang, J. Reddy. Proceedings of the Royal Society A, 2007

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A general third-order theory of functionally graded plates with modified couple stress effect and the von Kármán nonlinearity: theory and finite element analysis (2015, methodology): “[16] and Reddy [32] developed classical and first-order shear deformation plate models using the nonlocal differential constitutive relations of Eringen.”
Bending relationships between the modified couple stress-based functionally graded Timoshenko beams and homogeneous Bernoulli–Euler beams (2012, methodology): “[8], Reddy [17, 19], Reddy and Pang [20], and Aghababei and Reddy [1] have used the Eringen’s differential model to bring out the effect of the internal characteristic parameter on the bending, buckling, and vibration characteristics of beams and plates.”
Size-dependent nonlinear analysis and damping responses of FG-CNTRC micro-plates (2019, background): “[14] for the bending and buckling analysis of isotropic nanoplates.”
A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation (2016, background): “…Abdelouahed Tounsi forces between atoms and internal length scale are included in the expressions of constitutive equations (Reddy and Pang 2008, Lu et al. 2008, Heireche et al. 2008a, b, Benzair et al. 2008, Amara et al. 2010, Hashemi and Samaei 2011, Berrabah et al. 2013, Benguediab et al.…”