Numerical analysis on stability of functionally graded graphene platelets (GPLs) reinforced dielectric composite plate

Wang, Yu; Zhou, Yuxian; Feng, Chun-Bo; Yang, Jie; Zhou, Ding; Wang, Shuguang

doi:10.1016/j.apm.2021.08.003

Cited by 39 publications

(7 citation statements)

References 46 publications

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“…Although the mechanical responses of the FG-GPLRC structures have been investigated extensively and deeply, there are few studies on the dielectric FG-GPLRC structures. Wang et al [22,23] had carried out research works in this field and some meaningful research results were obtained. They achieved the analysis for stabilities and dynamic responses of FG-GPLRC dielectric beams and plates.…”

Section: Introductionmentioning

confidence: 99%

Modeling and solving for vibration and buckling of circular functionally graded dielectric plates reinforced by graphene platelets considering complex conditions

Zhang,

Cao,

2024

Eng. Res. Express

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The vibration and bucking behaviors of circular functionally graded (FG) dielectric plates reinforced by graphene platelets (GPL) under external electric fields are studied at the presence of many complex factors such as dielectric effect, pre-stress, gradient slope, imperfect bonding between GPL and matrix material, interface electron tunneling and Maxwell-Wagner-Sillars (MWS) polarization. Based on the effective medium theory and linear rule of mixtures, material properties of the GPL reinforced composites (GPLRC) are calculated. Dynamic differential equations of the circular FG-GPLRC dielectric plates are numerically solved by the differential quadrature method, and natural frequencies and critical loads are obtained. Trans-scale analyses for the influences of the volume fraction, geometric size, gradient distributed pattern and gradient slope on the percolation threshold, permittivity and the vibration or buckling characteristics are provided. Furthermore, variations of the natural frequencies and critical loads with electric field parameters, the pre-stress and thickness of the interphase layer are also discussed. Results show that the natural frequencies and critical loads of the plates can be changed artificially and effectively by adjusting the external electric field, pre-stress and the parameters of GPL. The larger the diameter to thickness ratio of GPL, the bigger the equivalent permittivity and the smaller the percolation threshold. When the volume fractions of GPL are less than the threshold, the mechanical properties dominate the vibration and buckling. However, when the volume fractions are bigger than the threshold, the electrical properties have significant influences. Therefore, higher macro mechanical properties can be obtained by changing the microstructure of the materials.

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Section: Introductionmentioning

confidence: 99%

Modeling and solving for vibration and buckling of circular functionally graded dielectric plates reinforced by graphene platelets considering complex conditions

Zhang,

Cao,

2024

Eng. Res. Express

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“…Eventually, some researchers explored the vibration characteristics of FG GPL-reinforced structures with porosity 38–43 and those subjected to electric loadings. 44–46…”

Section: Introductionmentioning

confidence: 99%

“…Eventually, some researchers explored the vibration characteristics of FG GPL-reinforced structures with porosity [38][39][40][41][42][43] and those subjected to electric loadings. [44][45][46] Reviewing the literature indicates that the investigations on vibration behaviors of FG GPL-reinforced composites are mainly restricted to different ESL theories. In ESL theories, by converting the 3D elasticity problem to a 2D problem, the composite plate is identified as an equivalent, homogeneous layer.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of functionally graded composite rectangular plates reinforced with graphene nanoplatelets (GPLs) using full layerwise finite element method

Tayebi

Salami

Tavakolian

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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The current investigation is the first endeavor to apply the full layerwise finite element method (FEM) in free vibration analysis of functionally graded (FG) composite plates reinforced with graphene nanoplatelets (GPLs). Unlike the equivalent single-layer (ESL) theories, the layerwise FEM focuses on all three-dimensional (3D) effects. Therefore, it can compute interlaminar stresses and other local effects with the same accuracy as 3D FEM, requiring a lower computational cost. The GPLs weight fraction is presumed invariable in each layer but varies through the plate thickness in a layerwise model. The modified Halpin-Tsai model is employed to acquire the effective Young’s modulus. The rule of mixtures is applied to specify the effective Poisson’s ratio and mass density. First, the current method is validated by comparing the numerical results with those stated in the available works. Next, a thorough numerical study is performed to examine how various factors involving the pattern of distribution, weight fraction, geometry, and size of GPLs, together with the thickness-to-span ratio and boundary conditions of the plate, affect its free vibration behaviors. Numerical results demonstrate that employing a small percentage of GPL as reinforcement considerably grows the natural frequencies of the pure epoxy. Also, distributing more square-shaped GPLs, involving a smaller amount of graphene layers, and vicinity to the upper and lower surfaces make it the most efficient method to enhance the free vibration behaviors of the plate.

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“…Moradi-Dastjerdi and Behdinan 39 reported the free vibration behavior of smart porous plates reinforced with CNTs and attached two piezoelectric surface layers by the moving least squares mesh-free method. In addition, a series of studies on mechanical behavior of smart beams and plates made of piezoelectric material (polyvinylidene fluoride) reinforced with GPLs was conducted by Wang et al 40–43 Their reports highlight that structural behavior can be actively tuned by adjusting the attributes of the applied electric field.…”

Section: Introductionmentioning

confidence: 99%

Static bending mesh-free analysis of smart piezoelectric porous beam reinforced with graphene platelets

Hung

Duc

Tú

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper presents static analysis and response of smart piezoelectric porous beams by mesh-free approach. The beam consists of a functionally graded porous core reinforced with graphene platelets (GPLs) and two piezoelectric face layers. The effective material properties of the core vary smoothly through the thickness direction, and they are estimated based upon Halpin–Tsai micromechanical model. The electric potential is assumed to vary linearly across the thickness of the piezoelectric layers. Polynomial basis function-based C1-Hermite interpolation for all displacement and electric potential variables of the problem is proposed for the mesh-free method to discretize the equilibrium equations. Parametric studies are carried out to investigate the effects of material parameters and boundary conditions on the deflection and stresses of the beam subjected to mechanical and/or electrical load(s). Furthermore, the study also highlights the piezoelectric effect on the static bending control of the proposed beam.

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Numerical analysis on stability of functionally graded graphene platelets (GPLs) reinforced dielectric composite plate

Cited by 39 publications

References 46 publications

Modeling and solving for vibration and buckling of circular functionally graded dielectric plates reinforced by graphene platelets considering complex conditions

Modeling and solving for vibration and buckling of circular functionally graded dielectric plates reinforced by graphene platelets considering complex conditions

Free vibration analysis of functionally graded composite rectangular plates reinforced with graphene nanoplatelets (GPLs) using full layerwise finite element method

Static bending mesh-free analysis of smart piezoelectric porous beam reinforced with graphene platelets

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