Nonlocal third-order shear deformation plate theory with application to bending and vibration of plates

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On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model (2015, methodology): “The computed results are presented in Table 1 and are compared with those predicted by the third shear deformation theory (TSDT), the first shear deformation theory (FSDT) and the classical plate theory (CPT) developed by Aghababaei and Reddy (2009).”
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.”
In-plane magnetic field affected transverse vibration of embedded single-layer graphene sheets using equivalent nonlocal elasticity approach (2013, background): “The application of nonlocal elasticity in the mechanical analysis of nanostructures is highly reported in the literature [33,36–49].”
A review on the mechanics of nanostructures (2018, background): “[134] S. Pradhan, G. Reddy, Buckling analysis of single walled carbon nanotube on Winkler foundation using nonlocal elasticity theory and DTM, Computational Materials Science, 50 (2011) 1052-1056.”