Magneto–thermo–elastic fields caused by an unsteady longitudinal magnetic field in a conducting nanowire accounting for eddy-current loss

Kiani, Keivan

doi:10.1016/j.matchemphys.2012.07.031

Cited by 32 publications

(10 citation statements)

References 50 publications

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“…Therefore, the frequency of the magnetically affected nanostructure is influenced by the applied magnetic field. Until now, the effect of magnetic field on wave propagation within carbon nanotubes [45][46][47][48][49], elastodynamic fields of nanowires [50][51][52][53], and free vibrations of nanoplates [54][55][56] has been investigated by considering the nonlocality effect. In the absence of the magnetic field, vibrations of and wave propagation in nanoribbons have been also addressed using nonlocal models [57,58].…”

Section: Introductionmentioning

confidence: 99%

Propagation of In-Plane Shear Waves in Magnetically Affected Highly Conductive Nanofilms by Considering Both Surface and Nonlocality Effects

Kiani

2016

Journal of Vibration and Acoustics

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To study the size and surface effects on characteristics of in-plane shear waves in magnetically affected nanofilms, a novel model is developed. Using nonlocal and surface continuum theories, the governing equations are established and appropriate boundary conditions are imposed at the bottom and top surfaces of the nanofilm. The dispersion relations associated with symmetric and asymmetric modes are obtained. The effects of the surface energy, small-scale parameter, nanofilm's thickness, and magnetic field strength on dispersion curves are addressed. The limitations of the classical theory of elasticity are discussed. The obtained results show that the phase velocity of the propagated in-plane shear waves magnifies by an increase of the thickness as well as magnetic field strength. However, the phase velocity commonly decreases as the effect of the surface energy or nonlocality increases. Such a fact is more obvious for higher modes of vibration. Generally, the cutoff frequency reaches a lower value as the nanofilm's thickness reduces or the small-scale parameter increases. Additionally, variation of the magnetic field strength has fairly no influence on the cutoff frequency.

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Section: Introductionmentioning

confidence: 99%

Propagation of In-Plane Shear Waves in Magnetically Affected Highly Conductive Nanofilms by Considering Both Surface and Nonlocality Effects

Kiani

2016

Journal of Vibration and Acoustics

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“…Recently, there has been a growing interest among scientists to study the influence of various multiphysics phenomena on the vibration behavior of nanostructures such as nanorods Alper and Hamad-Schifferli 2010;Martín et al 2012], nanobeams [Kiani 2012;Youssef and Elsibai 2011;Firouz-Abadi and Hosseinian 2012], nanoplates [Murmu et al 2013;Kiani 2014a;A. Haghshenas and Arani 2013], etc.…”

Section: Introductionmentioning

confidence: 99%

Thermal and magnetic effects on the vibration of a cracked nanobeam embedded in an elastic medium

Karličić

Jovanović

Kozić

et al. 2015

J. Mech. Mater. Struct.

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In this study, we develop a model to describe the free vibration behavior of a cracked nanobeam embedded in an elastic medium by considering the effects of longitudinal magnetic field and temperature change. In order to take into account the small-scale and thermal effects, the Euler-Bernoulli beam theory based on the nonlocal elasticity constitutive relation is reformulated for one-dimensional nanoscale systems. In addition, the effect of a longitudinal magnetic field is introduced by considering the Lorenz magnetic force obtained from the classical Maxwell equation. To develop a model of a cracked nanobeam, we suppose that a nanobeam consists of two segments connected by a rotational spring that is located in the position of the cracked section. The surrounding elastic medium is represented by the Winkler-type elastic foundation. Influences of the nonlocal parameter, stiffness of rotational spring, temperature change and magnetic field on the system frequencies are investigated for two types of boundary conditions. Also, the first four mode shape functions for the considered boundary conditions are shown for various values of the crack position.

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“…A close scrutiny of the literature shows that there exist a large body of works on the effect of the magnetic fields on vibrations of nanostructures [39][40][41][42][43][44][45][46][47][48][49]. In most of these works, the nanostructures were made of a highly conducting material and no electric current was passing through them.…”

Section: Introductionmentioning

confidence: 99%

Magneto–thermo–elastic fields caused by an unsteady longitudinal magnetic field in a conducting nanowire accounting for eddy-current loss

Cited by 32 publications

References 50 publications

Propagation of In-Plane Shear Waves in Magnetically Affected Highly Conductive Nanofilms by Considering Both Surface and Nonlocality Effects

Propagation of In-Plane Shear Waves in Magnetically Affected Highly Conductive Nanofilms by Considering Both Surface and Nonlocality Effects

Thermal and magnetic effects on the vibration of a cracked nanobeam embedded in an elastic medium

Stability and vibrations of doubly parallel current-carrying nanowires immersed in a longitudinal magnetic field

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