Size-dependent dispersion characteristics in piezoelectric nanoplates with surface effects

A general model for nano-cantilever switches with consideration of surface effects and nonlinear curvature

“…Both residual surface stress and surface elasticity effects have been incorporated in the continuum mechanical modeling of nanostructures [18,19] by using the surface elastic model provided by Gurtin and Murdoch [20] and the generalized Young-Laplace equation. The surface elastic model and generalized Young-Laplace equation have been wieldy application in investigating the influence of surface effects on the mechanical responses of nanostructures, such as nanobeams [21][22][23][24] and nanoplates [25][26][27]. Recently, some researchers investigated the pull-in instability of nano-switches with consideration of surface effects, and found that surface effects made a major contribution to the pull-in instability of electrostatically actuated nanobeams [9,[28][29][30][31].…”

Surface effect on the large amplitude periodic forced vibration of first-order shear deformable rectangular nanoplates with various edge supports

“…In order to design, fabricate and develop such nanostructures, it is necessary to study all crucial characteristics of their mechanical behaviors. Therefore, a variety of studies have been carried out on the prediction of mechanical characteristics of nanostructures [4][5][6][7][8][9][10][11][12][13]. For example, Ansari et al [14] presented a size-dependent Timoshenko beam model on the basis of surface stress elasticity theory to study the surface effects on the geometrically nonlinear forced vibration characteristics of nanobeams with various edge conditions.…”

Bending of a sinusoidal piezoelectric nanoplate with surface effect

“…In order to show the surface effect on wave characteristics, Zhang et al [34] investigated the anti-plane shear waves propagating in an infinite piezoelectric plate of nano-thickness. Surface effects on the dispersion characteristics of elastic waves propagating in an infinite piezoelectric nanoplate are investigated by Zhang et al [35].…”