On wave propagation in anisotropic elastic cylinders at nanoscale: surface elasticity and its effect

Chen, W. Q.; Wu, Bin; Zhang, C. L.; Zhang, Ch.

doi:10.1007/s00707-014-1211-4

Cited by 34 publications

(22 citation statements)

References 45 publications

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“…It is seen that 0   satisfies both (42) and (43). While it yields a trivial solution for the antisymmetric thickness-shear modes, it, for the symmetric thickness-shear modes, corresponds to a monolithic rigid-body translation along the x 3 -axis and an equi-electric/magnetic potentials state.…”

Section: Analysis Of Dispersion Relationsmentioning

confidence: 92%

Surface effects on anti-plane shear waves propagating in magneto-electro-elastic nanoplates

Zhang

Chen

et al. 2015

Smart Mater. Struct.

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Material surface may have a remarkable effect on the mechanical behavior of magneto-electro-elastic (or multiferroic) structures at nano-scale. In this paper, a surface magneto-electro-elasticity theory (or effective boundary condition formulation), which governs the motion of the material surface of magneto-electro-elastic nano-plates, is established by employing the state-space formalism. The properties of anti-plane shear (SH) waves propagating in a transversely isotropic magneto-electro-elastic plate with nano-thickness are investigated by taking surface effects into account. The size-dependent dispersion relations of both antisymmetric and symmetric SH waves are presented. The thickness-shear frequencies and the asymptotic characteristics of the dispersion relations considering surface effects are determined analytically as well. Numerical results show that surface effects play a very pronounced role in elastic wave propagation in magneto-electro-elastic nano-plates, and the dispersion properties depend strongly on the chosen surface material parameters of magneto-electro-elastic nano-plates. As a consequence, it is possible to modulate the waves in magneto-electro-elastic nano-plates through surface engineering.

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Section: Analysis Of Dispersion Relationsmentioning

confidence: 92%

Surface effects on anti-plane shear waves propagating in magneto-electro-elastic nanoplates

Zhang

Chen

et al. 2015

Smart Mater. Struct.

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“…where A is the area of cross section and I ¼ bh 3 12 stands for the moment of inertia in which b is the width of rectangular sections.…”

Section: Theoretical Modeling and Governing Equationsmentioning

confidence: 99%

“…With the rapid development of current micro-/nanotechnology [1][2][3], bio-micro-/nanomaterials and soft-micro-/nanomaterials have been widely applied in micro-/nanomedical fields, such as micromedical robots which can be used as microscaled drug transporters, microscaled blood detectors and microscaled diagnostic and therapeutic apparatuses. In the micromedical robots such as a magnetic micro-/nanoswimmer [4], the indispensable micro-/nanostructure plays a significant role and it usually acts as a sensor or resonator.…”

Section: Introductionmentioning

confidence: 99%

Free vibration and wave propagation of axially moving functionally graded Timoshenko microbeams

Yao

Shen

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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The transverse free vibration and wave propagation of functionally graded microbeams with an axial motion are investigated based on a nonlocal theory and the Timoshenko beam model. It is assumed the material properties of functionally graded microbeams vary along the thickness direction. The neutral plane of functionally graded materials is introduced, and the inhomogeneity of functionally graded Timoshenko microbeams is considered. The governing equations are derived using Hamilton's principle, and the differential quadrature method is utilized to determine the first three-order natural frequencies of the microbeams with simply supported and clamped boundary conditions, respectively. The effects of gradient index, nonlocal parameter and axial velocity on natural frequencies are investigated. Moreover, the wave propagation characteristics of functionally graded Timoshenko microbeams are analyzed, and the significant influences of wave number and other variables on wave propagation frequencies and wave velocities are studied. The different influence patterns of nonlocal effect are observed in transverse vibration and wave propagation. The nonlocality shows a weakening phenomenon in transverse vibration of axially moving functionally graded Timoshenko microbeams, while it reveals both weakening and strengthening phenomena in wave propagation. Therefore, two kinds of existing nonlocal scale effects are further confirmed and this is an additional contribution of the present paper.

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“…Therefore, we consider here a concentric core-shell structure with different material properties in the core and shell. This core-shell model has been used to investigate the surface effect on the dynamic properties of nanostructures in vacuum (Chen et al 2014;Wu et al 2015;Wu, Chen & Zhang 2018). Now our interest is to employ the developed multilayered spherical model to examine how the surface effect of the nanosphere influences the vibration characteristics of the FSI system.…”

Section: Effect Of Solid Surface Layermentioning

confidence: 99%

Three-dimensional vibrations of multilayered hollow spheres submerged in a complex fluid

Gan

Carrera

et al. 2019

J. Fluid Mech.

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Fluid–structure interaction is fundamental to the characteristics of the induced flows due to the motion of structures in fluids and also is crucial to the performance of submerged structures. This paper presents a three-dimensional analytical study of the intrinsic free vibration of an elastic multilayered hollow sphere interacting with an exterior non-Newtonian fluid medium. The fluid is assumed to be characterized by a compressible linear viscoelastic model accounting for both the shear and compressional relaxation processes. For small-amplitude vibrations, the equations governing the viscoelastic fluid can be linearized, which are then solved by introducing appropriate potential functions. The solid is assumed to exhibit a particular material anisotropy, i.e. spherical isotropy, which includes material isotropy as a special case. The equations governing the anisotropic solid are solved in spherical coordinates using the state-space formalism, which finally establishes two separate transfer relations correlating the state vectors at the innermost surface with those at the outermost surface of the multilayered hollow sphere. By imposing the continuity conditions at the fluid–solid interface, two separate analytical characteristic equations are derived, which characterize two independent classes of vibration. Numerical examples are finally conducted to validate the theoretical derivation as well as to investigate the effects of various factors, including fluid viscosity and compressibility, fluid viscoelasticity, solid anisotropy and surface effect, as well as solid intrinsic damping, on the vibration characteristics of the submerged hollow sphere. Particularly, our theoretically predicted vibration frequencies and quality factors of gold nanospheres with intrinsic damping immersed in water agree exceptionally well with the available experimentally measured results. The reported analytical solution is truly and fully three-dimensional, covering from the purely radial breathing mode to the torsional mode to any general spheroidal mode as well as being applicable to various simpler situations, and hence can be a broad-spectrum benchmark in the study of fluid–structure interaction.

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On wave propagation in anisotropic elastic cylinders at nanoscale: surface elasticity and its effect

Cited by 34 publications

References 45 publications

Surface effects on anti-plane shear waves propagating in magneto-electro-elastic nanoplates

Surface effects on anti-plane shear waves propagating in magneto-electro-elastic nanoplates

Free vibration and wave propagation of axially moving functionally graded Timoshenko microbeams

Three-dimensional vibrations of multilayered hollow spheres submerged in a complex fluid

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