Electro-thermoelastic vibration of plates made of porous functionally graded piezoelectric materials under various boundary conditions

Barati, Mohammad Reza; Zenkour, Ashraf M.

doi:10.1177/1077546316672788

Cited by 91 publications

(32 citation statements)

References 28 publications

(29 reference statements)

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“…According to this figure, it can be concluded that the imperfect FGM microplate has higher critical buckling and post-buckling temperature than the perfect FGM microplate, which was concluded in Ref. [16,65]. Furthermore, the thermal resistance increases with the rising value of porosity parameter. )…”

Section: Post-buckling Analysismentioning

confidence: 65%

Isogeometric analysis for size-dependent nonlinear thermal stability of porous FG microplates

Cuong-Le

Tran

Bui

et al. 2019

Composite Structures

101

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In this article, we present for the first time a research analysis for the size-dependent effects on thermal buckling and post-buckling behaviors of functionally graded material micro-plates with porosities (imperfect FGM) using isogeometric analysis. A seventh-order shear deformation plate theory associated with the modified couple stress theory (MCST) is particularly imposed to capture the size-dependent phenomenon within imperfect FGM micro-plates. The material properties of imperfect FGM micro-plates with three different distributions of porosities including even, uneven and logarithmic-uneven varying across the plate thickness are derived from the modified rule-of-mixture assumption. The nonlinear governing equation for sizedependent imperfect FGM micro-plate under uniform, linear and nonlinear temperature rise is derived using the Von-Kármán assumption and Hamilton's principle. Through numerical example, the effect of temperature rise, boundary conditions, power index, porosity volume fraction, porosity distribution pattern and material length scale parameter on thermal buckling and post-buckling behaviors of FGP micro-plates are investigated.

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Section: Post-buckling Analysismentioning

confidence: 65%

Isogeometric analysis for size-dependent nonlinear thermal stability of porous FG microplates

Cuong-Le

Tran

Bui

et al. 2019

Composite Structures

101

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“…In addition, Barati and Zenkour [30] used the FSDT and Galerkin's method to analyze the free vibration of the FGP cylindrical shells reinforced by the GPL. Zenkour and Barati [31] considered the electro-thermoelastic free vibration of the FGP plates integrated with piezoelectric layers using an analytical method. Daikh and Zenkour [32] calculated the free vibration of the FG sandwich plates.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of Functionally Graded Porous Plates Resting on Elastic Foundation Taking into Mass subjected to Moving Loads Using an Edge-Based Smoothed Finite Element Method

Tran

Pham

Nguyen-Thoi

2020

Shock and Vibration

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The paper presents the extension of an edge-based smoothed finite element method using three-node triangular elements for dynamic analysis of the functionally graded porous (FGP) plates subjected to moving loads resting on the elastic foundation taking into mass (EFTIM). In this study, the edge-based smoothed technique is integrated with the mixed interpolation of the tensorial component technique for the three-node triangular element (MITC3) to give so-called ES-MITC3, which helps improve significantly the accuracy for the standard MITC3 element. The EFTIM model is formed by adding a mass parameter of foundation into the Winkler–Pasternak foundation model. Two parameters of the FGP materials, the power-law index (k) and the maximum porosity distributions (Ω), take forms of cosine functions. Some numerical results of the proposed method are compared with those of published works to verify the accuracy and reliability. Furthermore, the effects of geometric parameters and materials on forced vibration of the FGP plates resting on the EFTIM are also studied in detail.

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“…Atmane et al 8 studied the dynamic frequency and deflection behaviors of porous FG beams via a shear deformable beam model. Recently, Barati and Zenkour 9 probed the thermo-electrically influenced vibrational behaviors of porous FG plates.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of porous metal foam shells rested on an elastic substrate

Ebrahimi

Dabbagh

Rastgoo

2019

The Journal of Strain Analysis for Engineering Design

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In this article, the vibration problem of an embedded cylindrical shell consisted of porous metal foam is solved via an analytical method with respect to the influences of various porosity distributions. Three types of porosity distribution across the thickness are covered, namely, uniform, symmetric, and asymmetric. The strain–displacement relations of the shell are assumed to be derived on the basis of the first-order shear deformation shell theory. Then, the achieved relations will be incorporated with the Hamilton’s principle in order to reach the Navier equations of the cylindrical shell. Next, the well-known Galerkin’s method is utilized to calculate the natural frequencies of the system. The influences of both simply supported and clamped boundary conditions are included. In order to show the accuracy of the presented method, the results of the present research are compared with those reported by former published papers. The reported results show that an increase in the porosity coefficient can decrease the frequency of the shell. Also, the stiffness of the system can be lesser decreased while symmetric porosity distribution is chosen.

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Electro-thermoelastic vibration of plates made of porous functionally graded piezoelectric materials under various boundary conditions

Cited by 91 publications

References 28 publications

Isogeometric analysis for size-dependent nonlinear thermal stability of porous FG microplates

Isogeometric analysis for size-dependent nonlinear thermal stability of porous FG microplates

Dynamic Analysis of Functionally Graded Porous Plates Resting on Elastic Foundation Taking into Mass subjected to Moving Loads Using an Edge-Based Smoothed Finite Element Method

Vibration analysis of porous metal foam shells rested on an elastic substrate

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