Torsional stability capacity of a nano-composite shell based on a nonlocal strain gradient shell model under a three-dimensional magnetic field

Malikan, Mohammad; Krasheninnikov, Maxim; Eremeyev, Victor A.

doi:10.1016/j.ijengsci.2019.103210

Cited by 109 publications

(34 citation statements)

References 40 publications

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“…(23) based on the A zd A and substituting Eqs. (2) and 4into the obtained relation, the static moment stress resultants in the nonlocal state are found to be [50][51][52][53][54][55][56][57][58][59]…”

Section: Vdw Interactionmentioning

confidence: 63%

Buckling analysis of a non-concentric double-walled carbon nanotube

2020

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On the basis of a theoretical study, this research incorporates an eccentricity into a system of compressed double-walled carbon nanotubes (DWCNTs). In order to formulate the stability equations, a kinematic displacement with reference to the classical beam hypothesis is utilized. Furthermore, the influence of nanoscale size is taken into account with regard to the nonlocal approach of strain gradient, and the van der Waals interaction for both inner and outer tubes is also considered based on the Lennard–Jones model. Galerkin decomposition is employed to numerically deal with the governing equations. It is evidently demonstrated that the geometrical eccentricity remarkably affects the stability threshold and its impact is to increase the static stability of DWCNTs.

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Section: Vdw Interactionmentioning

confidence: 63%

Buckling analysis of a non-concentric double-walled carbon nanotube

2020

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“…Inserting Equation (27) into Equation (35), the moment stress resultant in nanoscale is developed as [57][58][59][60][61][62]…”

Section: Size-dependent Modelmentioning

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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“…Hence, on the basis of Equations (29)- (31), Equations (19)-(21) can be expanded as [54][55][56][57][58][59][60][61] 1…”

Section: The Piezo-flexomagnetic Beam Modelmentioning

confidence: 99%

Effect of Axial Porosities on Flexomagnetic Response of In-Plane Compressed Piezomagnetic Nanobeams

2020

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We investigated the stability of an axially loaded Euler–Bernoulli porous nanobeam considering the flexomagnetic material properties. The flexomagneticity relates to the magnetization with strain gradients. Here we assume both piezomagnetic and flexomagnetic phenomena are coupled simultaneously with elastic relations in an inverse magnetization. Similar to flexoelectricity, the flexomagneticity is a size-dependent property. Therefore, its effect is more pronounced at small scales. We merge the stability equation with a nonlocal model of the strain gradient elasticity. The Navier sinusoidal transverse deflection is employed to attain the critical buckling load. Furthermore, different types of axial symmetric and asymmetric porosity distributions are studied. It was revealed that regardless of the high magnetic field, one can realize the flexomagnetic effect at a small scale. We demonstrate as well that for the larger thicknesses a difference between responses of piezomagnetic and piezo-flexomagnetic nanobeams would not be significant.

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Torsional stability capacity of a nano-composite shell based on a nonlocal strain gradient shell model under a three-dimensional magnetic field

Cited by 109 publications

References 40 publications

Buckling analysis of a non-concentric double-walled carbon nanotube

Buckling analysis of a non-concentric double-walled carbon nanotube

On the Dynamics of a Visco–Piezo–Flexoelectric Nanobeam

Effect of Axial Porosities on Flexomagnetic Response of In-Plane Compressed Piezomagnetic Nanobeams

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