Electro-thermal buckling of elastically supported double-layered piezoelectric nanoplates affected by an external electric voltage

Abstract

Purpose Thermal buckling of double-layered piezoelectric nanoplates has been analyzed by applying an external electric voltage on the nanoplates. The paper aims to discuss this issue. Design/methodology/approach Double-layered nanoplates are connected to each other by considering linear van der Waals forces. Nanoplates are placed on a polymer matrix. A comprehensive thermal stress function is used for investigating thermal buckling. A linear electric function is used for taking external electric voltages into account. For considering the small-scale effect, the modified couple stress theory has been applied. An analytical solution has been used by taking various boundary conditions. Findings EEV has a considerable impacted on the results of various half-waves in all boundary conditions. By increasing EEV, the reduction of critical buckling temperature in higher half-waves is remarkably slower than lower half-waves. By considering long lengths, the effect of EEV on the critical temperature will be markedly decreased. Originality/value This paper uses electro-thermal stability analysis. Double-layered piezoelectric nanoplates are analyzed. A comprehensive thermal stress function is applied for taking into account critical temperature.

On the Dynamics of a Visco–Piezo–Flexoelectric Nanobeam

“…On the other side, increasing the voltage results in a lower frequency. It can also be seen that l > e0a produces larger frequencies compared to e0a > l. Moreover, by looking carefully at the figure, it can be seen that the further decreasing impact of the voltage is related to the case e0a > l. 16 By means of Figure 3, one can make a simple comparison between the two states of the material: when we have only the piezo effect, and when we have both the piezo and flexo effects. It is worth mentioning that because polarization by flexoelectricity is far less than polarization with piezoelectricity, as flexoelectricity occurs due to the strain gradient and piezoelectricity happens due to strain itself, the piezo influence should be much greater than the flexo effect.…”

“…In addition to studying the physics of piezoelectric-flexoelectric nanomaterials, another aspect of assessing piezoelectric-flexoelectric effects in nanostructures is the prediction of the mechanical behavior of a nanoscale material while it contains piezoelectricity or flexoelectricity or even both effects simultaneously. Piezoelectric effects alone have been estimated based on the mechanical behavior of nanostructures in the current decade [14][15][16][17][18][19][20][21][22][23]. However, the combination of the flexoelectricity effect and piezoelectricity influence is a new physical composition.…”

Construction of piezoelectric and flexoelectric models of composites by asymptotic homogenization and application to laminates

“…A companion paper of the same author [2] developed a nonlinear first-order shear deformation theory, showing moreover that temperature variations have a minor effect on the buckling behavior. The electrothermal stability and buckling analysis of double-layered piezoelectric nanoplates subjected to an external electric voltage has been performed in [3]. The effect of viscoelastic damping on the natural frequencies of piezoelectric nanobeams have been investigated recently in [4].…”

Effect of Sinusoidal Corrugated Geometries on the Vibrational Response of Viscoelastic Nanoplates

“…Malikan and Nguyen [10] also examined the electro-magnetic nanoplates in a hygrothermal environment, by using a new plate theory in conjunction with a non-local strain gradient model. In this context, many other analytical and numerical works have focused on the vibration and buckling response of nanocomposite materials and structures also in thermal conditions, see e.g., [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30], among others.…”