Surface effect on the elastic behavior of static bending nanowires.

By Jin He, C. Lilley. Nano letters (Print), 2008

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Vibration and buckling analysis of a piezoelectric nanoplate considering surface effects and in-plane constraints (2012, background): “In addition to the studies on the static and dynamic behaviours of nanobeams (Wang & Feng 2007, 2009; He & Lilley 2008a,b; Liu & Rajapakse 2010), this surface elasticity model has also been adopted for modelling the elastic nanoplates.”
Effects of surface and flexoelectricity on a piezoelectric nanobeam (2014, methodology): “For the isotropic surface elasticity theory, the relation 0αβ = 00δαβ was utilized to determine the effect of residual surface stress on the nano-scaled structures [5, 9–13, 20, 49].”
Surface effects on the vibrational frequency of double-walled carbon nanotubes using the nonlocal Timoshenko beam model (2012, methodology): “The surface elastic modulus E, is calculated from surface elastic constants S1111 and S1122, which were calculated by Shenoy [28] using E = (S1111 + 2S1122) (S1111 S1122)/(S1111 + 2S1122) [7].”
The effects of surface tension on the elastic properties of nano structures (2010, background): “Both atom simulations [31,32] and theoretical studies [15,23,24,33,34] have shown that free surfaces will affect the elastic modulus or stiffness of nanowires, which control their capacities for deformation during sensing and actuation.”