Flexoelectric vibration analysis of nanocomposite sandwich plates

Amir, Saeed; BabaAkbar-Zarei, Hassan; Khorasani, Manouchehr

doi:10.1080/15397734.2019.1624175

Cited by 48 publications

(8 citation statements)

References 46 publications

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“…Using resins with low CTE can also help to decrease the compressive thermal stresses and delay the critical buckling temperature. During last two decades, it has been shown that incorporation of nanomaterials such as CNTs can effectively improve thermo-mechanical properties of polymeric resin systems (Amir, BabaAkbar-Zarei and Khorasani 2019, Ayatollahi and Barbaz Isfahani 2017, Garg, Nam et al 2019, Rafiee 2013, Rodríguez-González and Rubio-Gonzále 2019, Şansveren and Yaman 2019, Schadler, Giannaris, and Ajayan 1998, Sharma, and Mehta 2015, Siddiqui et al 2009, Yazdi, 2019.…”

Section: Introductionmentioning

confidence: 99%

Influence of carbon nanotubes on thermal expansion coefficient and thermal buckling of polymer composite plates: experimental and numerical investigations

Kamarian

Bodaghi

Barbaz‐Isfahani

et al. 2019

Mechanics Based Design of Structures and Machines

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The first aim of this paper is to experimentally explore the effect of multi-walled carbon nanotubes (MWCNTs) on the coefficient of thermal expansion (CTE) of epoxy-based composites. Focusing on the obtained experimental data, two important conclusions can be drawn. 1) Though the CTE of carbon nanotubes (CNTs) is lower than that of neat epoxy, using more CNT does not necessarily decrease the CTE of epoxy polymer. 2) The optimum weight percent of CNT is 0.3 which can reduce the CTE of epoxy up to 33%. As the second goal of the present research work, thermal buckling analysis of rectangular carbon fiber-reinforced CNT/epoxy polymer (CFRCNTEP) laminated composite plates is performed numerically. To this purpose, first, using the obtained experimental data and micro-mechanical models, the thermo-elastic properties of structure are calculated. Then, based on the first-order shear deformation theory (FSDT) and by means of generalized differential quadrature (GDQ) method, the influence of CNTs on the critical buckling temperature of CFRCNTEP composite plates is investigated. The numerical results reveal that MWCNTs can strongly affect thermal buckling behavior of composite plates. It is observed that by adding 0.3 wt% CNTs into the matrix phase, the critical buckling temperature increases between 35 to 42%.

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Section: Introductionmentioning

confidence: 99%

Influence of carbon nanotubes on thermal expansion coefficient and thermal buckling of polymer composite plates: experimental and numerical investigations

Kamarian

Bodaghi

Barbaz‐Isfahani

et al. 2019

Mechanics Based Design of Structures and Machines

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“…The differential equations of the Equations (37)-(41) are solved analytically according to the Navier's procedure in this section. Therefore, for a simply supported structure, we consider the following theoretical expressions for the displacement components [42] u(x, y, t) = U cos(αx) sin(βy)e iωt , v(x, y, t) = V sin(αx) cos(βy)e iωt , w b (x, y, t) = W b sin(αx) sin(βy)e iωt , w s (x, y, t) = W s sin(αx) sin(βy)e iωt , ϕ(x, y, t) = Φ sin(αx) sin(βy)e iωt (42) in which U, V, W s , W b and Φ are the unknown coefficients. In addition, α and β are defined as mπ/a and nπ/b, respectively, where m and n are the mode numbers along the length and width direction, respectively.…”

Section: Analytical Solution Proceduresmentioning

confidence: 99%

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

et al. 2020

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A novel quasi-3D hyperbolic shear deformation theory (QHSDT) with five unknowns is here employed, together with the Hamilton’s principle and the modified couple stress theory (MCST) to analyze the vibrational behavior of rectangular micro-scale sandwich plates resting on a visco-Pasternak foundation. The sandwich structure features a Nomex or Glass phenolic honeycomb core, and two composite face sheets reinforced with graphene nanoplatelets (GPLs). The effective properties of both face sheets are evaluated by means of the Halpin-Tsai and extended rule of mixture (ERM) micromechanical schemes. The governing equations of the problem are derived by applying the Hamilton’s principle, whose solutions are determined theoretically according to a classical Navier-type procedure. A parametric study checks for the effect of different material properties, length-scale parameters, foundation parameters and geometrical properties of the honeycomb cells, and the reinforcing GPLs, on the vibration response of the layered structure, which can be of great interest for many modern engineering applications and their optimization design.

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“…To address this aspect, Timoshenko beam theory and hyperbolic shear deformation theory have been employed for predicting the electromechanical response of flexoelectric beams [39][40][41] and rectangular plates [42]. Recently, Amir et al [43,44] have studied the free vibration and buckling behaviour of rectangular flexoelectric sandwich plates using the first-order shear deformation theory (FSDT)-based analytical solutions. Ray [45] and Xiang & Li [46] have presented exact elasticity-based solutions for the static response of simply supported flexoelectric beams.…”

Section: Introductionmentioning

confidence: 99%

A flexoelectric actuator model with shear-lag and peel stress effects

Rout

Kapuria

2023

Proc. R. Soc. A.

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Flexoelectric materials are being extensively studied in recent years for potential sensing, actuation, energy harvesting and structural health monitoring applications. However, no analytical model exists in the literature to predict the stress transfer between a flexoelectric transducer and the host structure, considering bonding compliance. In this article, we present an analytical model for the interfacial stresses and deformations of flexoelectric patch actuator(s) bonded to an isotropic host plate considering both shear-lag and peel stress effects at the interface(s). The model is valid for both piezoelectric and flexoelectric effects. The system’s one-dimensional governing equations are derived consistently from the three-dimensional equations for linear dielectric solids obtained using the bulk electric Gibbs energy density function and extended Hamilton’s principle. The transducer and substrate, modelled as classical Kirchhoff plates, undergo both extension and bending deformations. The formulation produces a seventh-order differential equation for the interfacial shear stress, which is solved analytically, satisfying all boundary conditions. The solution is validated by comparing with the available results for piezoelectric actuators with a non-rigid interface and those of flexoelectric actuators based on the pin-force-moment model assuming a rigid interface. Detailed numerical studies are presented to show the effect of the plate, actuator and adhesive parameters on the interfacial stresses and deformations. Finally, the size effect of the actuators at the micro-scale is illustrated.

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Flexoelectric vibration analysis of nanocomposite sandwich plates

Cited by 48 publications

References 46 publications

Influence of carbon nanotubes on thermal expansion coefficient and thermal buckling of polymer composite plates: experimental and numerical investigations

Influence of carbon nanotubes on thermal expansion coefficient and thermal buckling of polymer composite plates: experimental and numerical investigations

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

A flexoelectric actuator model with shear-lag and peel stress effects

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