Nonlocal thermo-elastic wave propagation in temperature-dependent embedded small-scaled nonhomogeneous beams

Ebrahimi, Farzad; Barati, Mohammad Reza; Haghi, Parisa

doi:10.1140/epjp/i2016-16383-0

Cited by 28 publications

(3 citation statements)

References 45 publications

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“…It is assumed that the variation of the external load is of the harmonic one. In this way, one can write [52] (11) in which F(x) and  are the forcing amplitude and the excitation frequency of the external load, respectively. The variation of the elastic energy due to the elastic polymer matrix (U pm )…”

Section: A Nsgt Coupled Viscoelastic Tube Modelmentioning

confidence: 99%

“…Some theoretical analyses have been performed on the mechanical characteristics of carbon nanotubes and nanobeams [8] since the invention of carbon nanotubes in 1991 [9]. For example, theoretical formulations have been developed for the postbuckling of smart composite nanotubes [10], wave propagations in nonlocal beams [11], vibrations of functionally graded nanobeams [12] and flexoelectric nanobeams [13]. In addition, various scaleedependent advanced models such as the classical [14], stress-driven [15] and higher-order [16] versions of nonlocal strain gradient model have been utilised for nanotubes.…”

Section: Introductionmentioning

confidence: 99%

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A coupled longitudinal-transverse nonlinear NSGT model for CNTs incorporating internal energy loss

2019

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The aim of the present study is to comprehensively analyse scale effects on the mechanical characteristics of carbon nanotubes (CNTs) with viscoelastic properties. A scale-dependent coupled longitudinal-transverse nonlinear formulation is presented for this aim. The role of both the longitudinal and transverse motions as well as the viscosity effect due to the internal loss of the total energy are taken into account. The influence of large deformations due to the geometric nonlinearity is also taken into account. The nonlocal strain gradient theory (NSGT) is applied so as to describe scale effects on the mechanical characteristics of viscoelastic CNTs. Compared to the classical nonlocal theory, the NSGT better estimates scale effects since it is able to describe both the stiffness-hardening and-softening behaviours. The Kelvin-Voigt approach is used to capture the influence of the internal energy loss. Application of the NSGT together with the Hamilton principle yields the energy potential, the external work and the coupled longitudinal-transverse equations of the CNT. To determine an accurate numerical solution, the Galerkin scheme of discretisation and a continuation approach are finally utilised. The role of different parameters of the nanosystem in the nonlinear coupled mechanics of viscoelastic CNTs is discussed.

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Section: A Nsgt Coupled Viscoelastic Tube Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A coupled longitudinal-transverse nonlinear NSGT model for CNTs incorporating internal energy loss

2019

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“…In particular, fluid-conveying nanotubes have sparked great interest due to its variety of applications, specifically in the medical field, which includes nanopipettes, biomimetic selective transport of ions, drug delivery devices and fluid filtration devices [3][4][5]. Size effects play an important role in the behaviour of ultrasmall systems and structures [6][7][8][9][10][11][12][13][14]. A nanoscale solid, which constantly interacts with nanoscale fluid, affects the mechanical response of the system.…”

Section: Introductionmentioning

confidence: 99%

Global nonlocal viscoelastic dynamics of pulsatile fluid-conveying imperfect nanotubes

et al. 2019

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This article aims to analyse the global nonlocal dynamics of imperfect nanoscale fluidconveying nanotubes subject to pulsatile flow. The nanotubes are assumed to be viscoelastic. Utilising nonlocal strain gradient theory, Beskok-Karniadakis assumptions, Kelvin-Voigt scheme and Euler-Bernoulli theory, the coupled size-dependent equations are presented to account for the size effects for the nanoscale fluid and solid. Additionally, Coriolis and centrifugal accelerations, imperfection effects are considered in this article. Using different parameters, the response of the system is plotted and investigated. This investigation shows that the bifurcation response for transverse and longitudinal direction is highly dependent on the imperfection of nanotubes, the velocity and frequency of pulsatile flow. Moreover, varying different velocity components results in different responses. The preliminary results show that imperfections in fluid-conveying nanotubes reduce the chaos region.

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Wave Propagation Responses of Double‐Layered Graphene Sheets in Hygrothermal Environment

Ebrahimi

Dabbagh

2019

Handbook of Graphene

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Nonlocal thermo-elastic wave propagation in temperature-dependent embedded small-scaled nonhomogeneous beams

Cited by 28 publications

References 45 publications

A coupled longitudinal-transverse nonlinear NSGT model for CNTs incorporating internal energy loss

A coupled longitudinal-transverse nonlinear NSGT model for CNTs incorporating internal energy loss

Global nonlocal viscoelastic dynamics of pulsatile fluid-conveying imperfect nanotubes

Wave Propagation Responses of Double‐Layered Graphene Sheets in Hygrothermal Environment

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