Nonlocal electro-thermo-mechanical analysis of a sandwich nanoplate containing a Kelvin–Voigt viscoelastic nanoplate and two piezoelectric layers

Arefi, Mohammad; Zenkour, Ashraf M.

doi:10.1007/s00707-016-1716-0

Cited by 72 publications

(43 citation statements)

References 40 publications

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“…Before presentation of the numerical results, the material properties of core and piezoelectric face-sheets may be presented as ( [8,[18][19][20][21]25]…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…By considering the electric potential, we can complete required equations. A two-dimensional electric potential with an applied voltage is employed as following format [18][19][20][21]:…”

Section: Governing Equationsmentioning

confidence: 99%

“…The nanobeam was subjected to thermal, mechanical, electrical, and magnetic loads. The nonlocal behavior of Kelvin-Voigt sandwich plate was studied by Arefi and Zenkour [19]. Arefi and Zenkour [20,21] presented transient analyses of sandwich nanoplates in thermal, electrical, and magnetic fields based on nonlocal elasticity theory and using classical and higher-order shear deformation plate theories.…”

Section: Introductionmentioning

confidence: 99%

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Transient analysis of a three-layer microbeam subjected to electric potential

Arefi

Zenkour

2017

International Journal of Smart and Nano Materials

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In this paper, free vibration, wave propagation, and bending analyses of a sandwich microbeam integrated with piezoelectric face-sheets resting on Pasternak foundation under electric potential are presented based on the strain gradient theory and Euler-Bernoulli beam theory. The material properties of core are assumed variable along the thickness direction and piezoelectric face-sheets are assumed homogeneous piezoelectric materials. A two-dimensional electric potential distribution along the axial and transverse direction is applied on the face-sheets of microbeam. Hamilton principal is used to derive governing differential equations of motion. Three behaviors of sandwich microbeam including free vibration, wave propagation, and bending analyses are studied in this paper. Some numerical results are presented to capture the effect of important parameters of the problem such as in-homogeneous index, applied voltage, parameters of foundation, and material length scales. The numerical results indicate that the effect of electric potential along the axial direction is very small rather than one along the transverse direction where initial voltage is applied. ARTICLE HISTORY

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“…Before presentation of the numerical results, the material properties of core and piezoelectric face-sheets may be presented as ( [8,[18][19][20][21]25]…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…By considering the electric potential, we can complete required equations. A two-dimensional electric potential with an applied voltage is employed as following format [18][19][20][21]:…”

Section: Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Transient analysis of a three-layer microbeam subjected to electric potential

Arefi

Zenkour

2017

International Journal of Smart and Nano Materials

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“…Some additional static and dynamic analyses of curved beams at the nano-and macro-scales were presented by Aya and Tufekci [23], as well as by Hajianmaleki and Qatu [24], respectively. A nonlocal elasticity solution and wave propagation analysis of nanoplates and nanorods were proposed by Arefi and Zenkour [25,26], whereas the sinusoidal shear deformation theory was applied for the study of the transient response of curved beams [27]. A large variety of size-dependent theories of elasticity have been applied recently in literature to study the mechanics of nanostructures, including Eringen's nonlocal models [28][29][30][31], modified couple stress theories [32][33][34][35][36], and nonlocal strain gradient laws [37,38].…”

Section: Introductionmentioning

confidence: 99%

Size-Dependent Free Vibrations of FG Polymer Composite Curved Nanobeams Reinforced with Graphene Nanoplatelets Resting on Pasternak Foundations

et al. 2019

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This paper presents a free vibration analysis of functionally graded (FG) polymer composite curved nanobeams reinforced with graphene nanoplatelets resting on a Pasternak foundation. The size-dependent governing equations of motion are derived by applying the Hamilton’s principle and the differential law consequent (but not equivalent) to Eringen’s strain-driven nonlocal integral elasticity model equipped with the special bi-exponential averaging kernel. The displacement field of the problem is here described in polar coordinates, according to the first order shear deformation theory. A large parametric investigation is performed, which includes different FG patterns, different boundary conditions, but also different geometrical parameters, number of layers, weight fractions, and Pasternak parameters.

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“…The viscoelastic damping effect due to viscosity of materials in a vibration system can be characterized by the half bandwidth n or the quality factor Q (Q ¼ 1= 2n ð Þ) [56][57][58]. Several viscoelastic models have been proposed to characterize the viscoelastic material properties including Maxwell model, Kelvin-Voigt model, and standard linear solid model [59][60][61]. Among them, the Kelvin-Voigt model is a classical and widely used viscoelastic model.…”

Section: Introductionmentioning

confidence: 99%

Viscoelastic Characteristics of Mechanically Assembled Three-Dimensional Structures Formed by Compressive Buckling

Wang

Zhu

et al. 2018

Journal of Applied Mechanics

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Vibrational microplatforms that exploit complex three-dimensional (3D) architectures assembled via the controlled compressive buckling technique represent promising candidates in 3D micro-electromechanical systems (MEMS), with a wide range of applications such as oscillators, actuators, energy harvesters, etc. However, the accuracy and efficiency of such 3D MEMS might be significantly reduced by the viscoelastic damping effect that arises from material viscosity. Therefore, a clear understanding and characterization of such effects are essential to progress in this area. Here, we present a study on the viscoelastic damping effect in complex 3D structures via an analytical model and finite element analysis (FEA). By adopting the Kelvin–Voigt model to characterize the material viscoelasticity, an analytical solution is derived for the vibration of a buckled ribbon. This solution then yields a scaling law for the half-band width or the quality factor of vibration that can be extended to other classes of complex 3D structures, as validated by FEA. The scaling law reveals the dependence of the half-band width on the geometries of 3D structures and the compressive strain. The results could serve as guidelines to design novel 3D vibrational microplatforms for applications in MEMS and other areas of technology.

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Nonlocal electro-thermo-mechanical analysis of a sandwich nanoplate containing a Kelvin–Voigt viscoelastic nanoplate and two piezoelectric layers

Cited by 72 publications

References 40 publications

Transient analysis of a three-layer microbeam subjected to electric potential

Transient analysis of a three-layer microbeam subjected to electric potential

Size-Dependent Free Vibrations of FG Polymer Composite Curved Nanobeams Reinforced with Graphene Nanoplatelets Resting on Pasternak Foundations

Viscoelastic Characteristics of Mechanically Assembled Three-Dimensional Structures Formed by Compressive Buckling

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