Abstract
In this article, electromechanical buckling behavior of size-dependent flexoelectric/piezoelectric nanobeams is investigated based on nonlocal and surface elasticity theories. Flexoelectricity represents the coupling between the strain gradients and electrical polarizations. Flexoelectric/piezoelectric nanostructures can tolerate higher buckling loads compared with conventional piezoelectric ones, especially at lower thicknesses. Nonlocal elasticity theory of Eringen is applied for analyzing flexoelectric/piezoelectric nanobeams for the first time. The flexoelectric/piezoelectric nanobeams are assumed to be in contact with a two-parameter elastic foundation which consists of infinite linear springs and a shear layer. The residual surface stresses which are usually neglected in modeling of flexoelectric nanobeams are incorporated into nonlocal elasticity to provide better understanding of the physics of the problem. Applying an analytical method which satisfies various boundary conditions, the governing equations obtained from Hamilton’s principle are solved. The reliability of the present approach is verified by comparing the obtained results with those provided in literature. Finally, the influences of nonlocal parameter, surface effects plate geometrical parameters, elastic foundation, and boundary conditions on the buckling characteristics of the flexoelectric/piezoelectric nanobeams are explored in detail.
Highlights
In recent decades, prominent developments of nanoelectromechanical systems are carried out by various researchers
It is of great significance to explore the underlying mechanisms of this size dependency in order to accurately describe the electromechanical coupling of such nanoscale structures
Thermo-electromechanical vibration analysis of nanobeams made of piezoelectric materials considering nonlocal effects is performed by Ke and Wang.[33]
Summary
Prominent developments of nanoelectromechanical systems are carried out by various researchers. Thermo-electromechanical vibration analysis of nanobeams made of piezoelectric materials considering nonlocal effects is performed by Ke and Wang.[33] Wang and Wang[34] researched the electromechanical coupling behavior of a piezoelectric nanowire incorporating both surface and nonlocal effects. Investigation of flexoelectricity effect on static and dynamic behaviors of nanoscale piezoelectric plates is carried out by Zhang et al.[49] Liang et al.[50] showed the influences of surface and flexoelectricity on a piezoelectric nanobeam. Liang et al.[54] examined buckling and vibration of flexoelectric nanofilms under supported boundary conditions They did not consider the effects of surface piezoelasticity, nonlocality, and other kinds of boundary conditions in their model. In the present article, buckling analysis of flexoelectric nanobeams embedded in elastic medium under various boundary conditions is investigated based on nonlocal and surface elasticity theories. The effect of flexoelectricity is involved using the following expression of the electric enthalpy energy density was as follows
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