Effect of Sinusoidal Corrugated Geometries on the Vibrational Response of Viscoelastic Nanoplates

Malikan, Mohammad; Dimitri, Rossana; Tornabene, Francesco

doi:10.3390/app8091432

Cited by 25 publications

(13 citation statements)

References 34 publications

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“…Malikan et al 138 described the viscoelastic behavior of the nanoplate, where Navier's approach was used for numerically solving the frequency equations. The study performs a comparative assessment between the proposed theory and other approaches for varying geometric corrugations and non-local parameters.…”

Section: Sensitivity Of Mechanical Response Of Composite Materials Anmentioning

confidence: 99%

Properties of multifunctional composite materials based on nanomaterials: a review

Ali

Andriyana

2020

RSC Adv.

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Section: Sensitivity Of Mechanical Response Of Composite Materials Anmentioning

confidence: 99%

Properties of multifunctional composite materials based on nanomaterials: a review

Ali

Andriyana

2020

RSC Adv.

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“…To implement the viscoelastic behavior in the dedicated relation of the vibration of the smart beam (Equation (38)), the relation below is employed [63][64][65] (The superscript v means the stress and strain fields are in the viscoelastic forms):…”

Section: Internal Viscoelasticity Couplingmentioning

confidence: 99%

On the Dynamics of a Visco–Piezo–Flexoelectric Nanobeam

Malikan

Eremeyev

2020

Symmetry

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The fundamental motivation of this research is to investigate the effect of flexoelectricity on a piezoelectric nanobeam for the first time involving internal viscoelasticity. To date, the effect of flexoelectricity on the mechanical behavior of nanobeams has been investigated extensively under various physical and environmental conditions. However, this effect as an internal property of materials has not been studied when the nanobeams include an internal damping feature. To this end, a closed-circuit condition is considered taking converse piezo–flexoelectric behavior. The kinematic displacement of the classical beam using Lagrangian strains, also applying Hamilton’s principle, creates the needed frequency equation. The natural frequencies are measured in nanoscale by the available nonlocal strain gradient elasticity model. The linear Kelvin–Voigt viscoelastic model here defines the inner viscoelastic coupling. An analytical solution technique determines the values of the numerical frequencies. The best findings show that the viscoelastic coupling can directly affect the flexoelectricity property of the material.

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“…Moreover, e shows a physical constant and a=0.142 nm is the bond length of carbon-carbon atoms. By substituting equation (12) into equations (7a), (7b), the small-scale stress resultants can be obtained as [34][35][36][37][38][39][40][41][42][43][44][45][46][47][48]…”

Section: The Size-dependent Effectsmentioning

confidence: 99%

Post-critical buckling of truncated conical carbon nanotubes considering surface effects embedding in a nonlinear Winkler substrate using the Rayleigh-Ritz method

Malikan

Eremeyev

2020

Mater. Res. Express

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This research predicts theoretically post-critical axial buckling behavior of truncated conical carbon nanotubes (CCNTs) with several boundary conditions by assuming a nonlinear Winkler matrix. The post-buckling of CCNTs has been studied based on the Euler-Bernoulli beam model, Hamilton's principle, Lagrangian strains, and nonlocal strain gradient theory. Both stiffness-hardening and stiffness-softening properties of the nanostructure are considered by exerting the second stressgradient and second strain-gradient in the stress and strain fields. Besides small-scale influences, the surface effect is also taken into consideration. The effect of the Winkler foundation is nonlinearly taken into account based on the Taylor expansion. A new admissible function is used in the Rayleigh-Ritz solution technique applicable for buckling and post-buckling of nanotubes and nanobeams. Numerical results and related discussions are compared and reported with those obtained by the literature. The significant results proved that the surface effect and the nonlinear term of the substrate affect the CCNT considerably.

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Effect of Sinusoidal Corrugated Geometries on the Vibrational Response of Viscoelastic Nanoplates

Cited by 25 publications

References 34 publications

Properties of multifunctional composite materials based on nanomaterials: a review

Properties of multifunctional composite materials based on nanomaterials: a review

On the Dynamics of a Visco–Piezo–Flexoelectric Nanobeam

Post-critical buckling of truncated conical carbon nanotubes considering surface effects embedding in a nonlinear Winkler substrate using the Rayleigh-Ritz method

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