Buckling analysis of nanocomposite sandwich plates with piezoelectric face sheets based on flexoelectricity and first-order shear deformation theory

Abstract

In piezoelectric materials and at the nano-scale, there is a coupling between electrical polarization and strain gradients fields, which is called flexoelectricity. The effects of this phenomenon seem to be negligible in micro/macro scales. The current study has attempted to have a cohesive concentration on the buckling behaviors of sandwich plates. To achieve the abovementioned aim with a higher accuracy, the flexoelectric effect assumes to be existing on the top and bottom face sheets and the core is a composite plate. Also, based on statistics, the first-order shear deformation theory seems to lead to more accurate results. Therefore, in the present research we follow this method to obtain results. The analytical method is applied to solve higher order governing equations. In addition, the critical buckling voltage is calculated considering the flexoelectricity, and it is found that the effects of flexoelectricity play significant roles in determining the critical buckling voltage. Moreover, it is revealed that the thickness of the flexoelectric face sheets and the aspect ratio of the sandwich plate play the same role in critical buckling load variations. It means that the critical buckling load decreases when the thickness of the flexoelectric face sheets or the aspect ratio of the sandwich plate increases and vice versa. The results of the present work can be used for the optimum design and control of similar systems such as micro-electro-mechanical and nano-electromechanical devices.

Quasi-3D Hyperbolic Shear Deformation Theory for the Free Vibration Study of Honeycomb Microplates with Graphene Nanoplatelets-Reinforced Epoxy Skins

“…It seems also that CET-based predictions are always more conservative than those once based on a MCST, in agreement with findings in Refs. [46][47][48][49][50] from the literature. Another key aspect of the problem can be the sensitivity of the response to various GPLs dispersions in the Epoxy matrix over a wide range of mode numbers, as listed in Table 4.…”

Axisymmetric free vibration and stress analyses of saturated porous annular plates using generalized differential quadrature method

“…The displacement components of the plate are described based on the FSDT that leads to more accurate results rather than those of CPT due to accounting for the shear deformation effects. According to FSDT assumptions, the displacement components are defined as (Amir et al., 2018b; Amir, 2019) in which U , V , and W are the displacement components of the plate in r , θ , and z directions, respectively, and u , v , and w show the plate’s mid-surface displacements. Also, ϕ r and ϕ θ denote the rotation of the mid-surface about θ and r axes, respectively.…”

Hygrothermal effects on the buckling of soft‐core sandwich plates with composite layered face sheets

“…When these structures are subjected to compressive loads, there is a possibility of buckling in them. [1][2][3][4][5][6][7][8][9][10] In many engineering applications, composite structures may be exposed to hot and wet environments. Since the hygrothermal environments play an important role in the behavior of composite structures, the effects of two parameters of moisture and heat should be considered in the analysis of these structures.…”