Thermo-electrical buckling response of actuated functionally graded piezoelectric nanoscale plates

Zenkour, Ashraf M.; Aljadani, Maryam H.

doi:10.1016/j.rinp.2019.102192

Cited by 24 publications

(3 citation statements)

References 60 publications

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“…Of these popular theories, Eringen's theory [20,21] has a broad use in the study of the nano-structures' mechanical behavior because of its high accuracy and simplicity. These investigations confirmed that the findings from this theory were consistent with the findings from the molecular dynamic and experimental techniques [22][23][24][25][26][27][28][29]. Ahouel et al [30] created a nonlocal trigonometric shear deformation theory depending on the neutral surface position for the vibration, buckling, and bending of FG nanorods through the nonlocal differential constitutive interaction with Eringen.…”

Section: Introductionsupporting

confidence: 72%

Bending Analysis of Functionally Graded Nanoscale Plates by Using Nonlocal Mixed Variational Formula

Zenkour

Hafed

Radwan³

2020

Mathematics

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This work is devoted to the bending analysis of functionally graded (FG) nano-scale plate by using the nonlocal mixed variational formula under simply supported edge conditions. According to Eringen’s nonlocal elasticity theory, the mixed formula is utilized in order to obtain the governing equations. The system of equations is derived by using the principle of virtual work. The governing equations include both the small and the mechanical effects. The impact of the small-scale parameter, aspect and thickness nano-scale plate ratios, and gradient index on the displacement and stresses are explored, numerically presented, and discussed in detail. Different comparisons are made to check the precision and validity of the bending outcomes obtained from the present analysis of FG nano-scale plates. Parametric examinations are then performed to inspect the impacts of the thickness of the plate on the by and large mechanical reaction of the practically evaluated plates. The displayed outcomes are valuable for the configuration procedures of keen structures and examination from materials.

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Section: Introductionsupporting

confidence: 72%

Bending Analysis of Functionally Graded Nanoscale Plates by Using Nonlocal Mixed Variational Formula

Zenkour

Hafed

Radwan³

2020

Mathematics

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“…The effects of different thermal and electrical field parameters on the buckling response of the FGP nanoplates were determined by means of the refined higher‐order shear deformation theory and nonlocal elasticity by Zenkour and Aljadani. [ 64 ] They highlighted that the nonlinear temperature rise has the most significant influence on buckling temperature. Nguyen et al [ 65 ] investigated the vibration responses of different porous FGP structures using the Bezier finite‐element method and higher‐order shear deformation theory.…”

Section: Introductionmentioning

confidence: 99%

Low‐Velocity Impact Response Analysis of Functionally Graded Piezoelectric Plates Using Finite‐Element Method and a Two‐Degrees‐of‐Freedom Spring‐Mass Model

2023

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The study focuses on the low‐velocity impact response of functionally graded piezoelectric plates. The effective material properties are determined using the rule of mixture and power law model. The kinematics of the plates is modeled by the first‐order shear deformation theory, and coupled governing equations of the plates are formulated using Hamilton's principle and Maxwell's law. A set of time‐dependent equations, extracted by applying the finite‐element method, is solved by the fourth‐order Runge–Kutta method. A linearized form of Hertz's contact law and a two‐degrees‐of‐freedom spring‐mass system are incorporated to find the contact force under the impact event. Numerical results are verified by comparing with the available literature data. The impact response of the plates constituted of different volume fractions and slenderness ratios in both simply supported and clamped boundary conditions are evaluated under different impact conditions. Based on the results of the present study, it is found that the volume fraction of the piezoelectric components, impact condition, in‐plane dimensions, and the plate slenderness ratio play significant roles in the impact behavior of the plates. Eventually, it is found that the applied electric voltage is not a notable factor in determining the impact response of the plates.

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“…Due to the importance of designing foundations, various methods have been developed to study the response of beams and plates that are resting on elastic foundations such as Winkler's soil model [22] and Pasternak's model [23][24][25][26][27][28] and many other studies that are available in the literature [29][30][31]. However, most of the available shear and deformations theories used in the analysis involve five, six, and more unknown functions.…”

Section: Introductionmentioning

confidence: 99%

A Quasi-3D Higher-Order Theory for Bending of FG Nanoplates Embedded in an Elastic Medium in a Thermal Environment

2022

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This paper presents the effects of temperature and the nonlocal coefficient on the bending response of functionally graded (FG) nanoplates embedded in an elastic foundation in a thermal environment. The effects of transverse normal strain, as well as transverse shear strains, are considered where the variation of the material properties of the FG nanoplate are considered only in thickness direction. Unlike other shear and deformations theories in which the number of unknown functions is five and more, the present work uses shear and deformations theory with only four unknown functions. The four-unknown normal and shear deformations model, associated with Eringen nonlocal elasticity theory, is used to derive the equations of equilibrium utilizing the principle of virtual displacements. The effects due to nonlocal coefficient, side-to-thickness ratio, aspect ratio, normal and shear deformations, thermal load and elastic foundation parameters, as well as the gradation in FG nanoplate bending, are investigated. In addition, for validation, the results obtained from the present work are compared to ones available in the literature.

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Thermo-electrical buckling response of actuated functionally graded piezoelectric nanoscale plates

Cited by 24 publications

References 60 publications

Bending Analysis of Functionally Graded Nanoscale Plates by Using Nonlocal Mixed Variational Formula

Bending Analysis of Functionally Graded Nanoscale Plates by Using Nonlocal Mixed Variational Formula

Low‐Velocity Impact Response Analysis of Functionally Graded Piezoelectric Plates Using Finite‐Element Method and a Two‐Degrees‐of‐Freedom Spring‐Mass Model

A Quasi-3D Higher-Order Theory for Bending of FG Nanoplates Embedded in an Elastic Medium in a Thermal Environment

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