On the dynamic stability of viscoelastic graphene sheets

Jalaei, M.H.; Arani, A. Ghorbanpour; Tourang, Hossein

doi:10.1016/j.ijengsci.2018.07.002

Cited by 37 publications

(10 citation statements)

References 61 publications

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“…In addition, it would be more convenient to rewrite Eqs. (6) and 7in a dimensionless form; for this purpose, first the following dimension-free parameters are…”

Section: Scale-dependent Continuum Model and Methods Of Solutionmentioning

confidence: 99%

“…Inserting the above parameters into Eqs. (6) and 7, the nonlinear scale-dependent model of the microscale system can be rewritten in non-dimensional forms.…”

Section: Scale-dependent Continuum Model and Methods Of Solutionmentioning

confidence: 99%

“…In order to accurately design and fabricate a microsystem/nanosystem [6][7][8][9][10][11][12][13][14][15][16][17], it is essential to increase the level of knowledge of its mechanical behaviour including its deformation under different applied mechanical forces, especially in the presence of ultrasmall size effects [18][19][20][21][22][23][24][25][26][27][28]. To this end, the development of theoretical continuum-based models is very useful to pave the way for the formulation of experimental observations [29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

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Viscoelastically coupled mechanics of fluid-conveying microtubes

Ghayesh

Farajpour

Farokhi

2019

International Journal of Engineering Science

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In this paper, the complex viscoelastically coupled mechanics of fluid-conveying microtubes is examined for the first time. The externally excited microtube is assumed to be embedded in a nonlinear elastic medium. A scale-dependent theoretical model is developed with consideration of curvature nonlinearity within the context of the modified version of the couple stress theory (CST). According to Hamilton's energy/work principle, the coupled nonlinear equations of fluidconveying microscale tubes are derived. Both the transverse and longitudinal displacements and inertia are taken into account in the continuum-based model and numerical calculations. In order to discretise the governing nonlinear differential equations, Galerkin's weighted-residual procedure is employed. The bifurcation characteristics of the fluid-conveying microsystem with clamped-clamped boundary conditions are obtained within the framework of a direct timeintegration procedure. It is found that the complex dynamics of the fluid-conveying microsystem is very sensitive to the speed of the flowing fluid.

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“…In addition, it would be more convenient to rewrite Eqs. (6) and 7in a dimensionless form; for this purpose, first the following dimension-free parameters are…”

Section: Scale-dependent Continuum Model and Methods Of Solutionmentioning

confidence: 99%

“…Inserting the above parameters into Eqs. (6) and 7, the nonlinear scale-dependent model of the microscale system can be rewritten in non-dimensional forms.…”

Section: Scale-dependent Continuum Model and Methods Of Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Viscoelastically coupled mechanics of fluid-conveying microtubes

Ghayesh

Farajpour

Farokhi

2019

International Journal of Engineering Science

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“…Nanoscale structures including nanoscale rods [1], rings [2], beams [3][4][5][6][7][8], plates [9,10], and shells [11,12] have been utilised as the fundamental structural parts of many nanoelectromechanical systems (NEMS). Nanomechanical resonators [13,14], nanoscale mass sensors [15], electromechanical nanoactuators [16], and nanoenergy harvesters [17] are salient examples of these NEMS-based devices.…”

Section: Introductionmentioning

confidence: 99%

A review on the mechanics of nanostructures

Farajpour

Ghayesh

Farokhi

2018

International Journal of Engineering Science

212

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Understanding the mechanical behaviour of nanostructures is of great importance due to their applications in nanodevices such as in nanomechanical resonators, nanoscale mass sensors, electromechanical nanoactuators and nanogenerators. Due to the difficulties of performing accurate experimental measurements at nanoscales and the high computational costs associated with the molecular dynamics simulations, the continuum modelling of nanostructures has attracted a considerable amount of attention. Since size influences have a crucial role in the mechanics of structures at nanoscale levels, classical continuum-based theories have been modified to incorporate these effects. Among various modified continuum-based theories, the nonlocal elasticity and the nonlocal strain gradient elasticity have been employed to estimate the mechanical behaviour of nanostructures. In this review paper, first these two modified elasticity theories are briefly explained. Then, the nonlocal motion equations for different nanostructures including nanorods, nanorings, nanobeams, nanoplates and nanoshells are derived. Several papers which reported on the size-dependent mechanical behaviour of nanostructures using modified continuum models are reviewed. Furthermore, important results reported on the vibration, bending and buckling of nanostructures as well as the results of size-dependent wave propagation analyses are discussed.

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“…Kolahchi et al [6] studied the dynamic buckling of embedded viscoelastic laminated nanoplates on the basis of NET in conjunction with refined zigzag theory. Jalaei et al [7] studied the dynamic stability of a viscoelastic graphene sheet embedded on viscose matrix with various boundary conditions according to the FSDT and NET by means of the Ritz technique and the Bolotin's approach. Most recently, Huang et al [8] applied an analytical solution to perform the dynamic stability of nanobeams exposed to an axially oscillating loading on the basis of the NET and EBT.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Stability of Temperature-Dependent Graphene Sheet Embedded in an Elastomeric Medium

2019

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This work applies the first-order shear deformation theory (FSDT) to study the dynamic stability of orthotropic temperature-dependent single-layered graphene sheet (SLGS) embedded in a temperature-dependent elastomeric medium and subjected to a biaxial oscillating loading in a thermal environment. Possible thermal effects are considered in the size-dependent governing equations of the problem. These last ones are derived by means of the Hamilton’s variational principle combined with the Eringen’s differential constitutive model. Navier’s solution as well as Bolotin’s approach are applied to obtain the dynamic instability region (DIR) of the graphene sheet. Thus, a parametric study is carried out to explore the sensitivity of the DIR of the graphene sheet to the temperature variation, the static load factor, the aspect ratio, the foundation type, and the nonlocal parameter (NP). Results indicate that the dimensionless pulsation frequency reduces for increasing values of temperature and NP, whereas the size effect becomes even more pronounced for increasing temperatures. In addition, the adoption of temperature-dependent mechanical properties, rather than independent ones, yields a global shift of the DIR to smaller pulsating frequencies. This proves the relevance of the temperature-dependent mechanical properties to obtain reliable results, in a physical sense.

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On the dynamic stability of viscoelastic graphene sheets

Cited by 37 publications

References 61 publications

Viscoelastically coupled mechanics of fluid-conveying microtubes

Viscoelastically coupled mechanics of fluid-conveying microtubes

A review on the mechanics of nanostructures

Dynamic Stability of Temperature-Dependent Graphene Sheet Embedded in an Elastomeric Medium

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