Surface effect on deformation around an elliptical hole by surface energy density theory

Wang, Liyuan

doi:10.1177/1081286519876973

Cited by 4 publications

(2 citation statements)

References 22 publications

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“…Based on surface effect theory, lots of research works on nano structures have been carried out. Lurie et al [15] discussed the bending problems of nano-cantilever beams with voids, Zhang and Wang [10] studied the vibration behavior of a nanoplate, Wu et al [16] investigated the surface effect on the vibration of a PE nanosphere, and Wang [17] analyzed the deformation of nanomaterial surrounding an elliptical hole. Accordingly, it has become a critical problem that how to provide the nano electronic components and devices with clean, effective, and endurable power.…”

Section: Introductionmentioning

confidence: 99%

Modeling of an energy harvester with porous piezoelectric/piezomagnetic nanocomposite structure

Fan

2022

Mathematics and Mechanics of Solids

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Micro-energy harvesters are attracting more and more attention due to the demand of the miniaturization and the self-power for the electrical devices. A three-layered porous piezoelectric (PE)/piezomagnetic (PM) energy harvester at the nanoscale is modeled in this paper. The layered PE/PM structure works in the magnetic field; the electrical power can be obtained from the PE layer due to the magnetostriction of the PM layers. Based on the surface elasticity and Boit’s porous theory, the governing equations and the analytical expressions of the harvester with the thickness-shear mode are derived. The numerical analysis indicates that the electrical energy capture capability of the porous PE/PM energy harvester is much superior to its nonporous alternative. Then, the influences of the porous properties, the surface effects, and the constitution of the PE/PM materials on the energy capture performance are discussed. The results indicate that the nano PE/PM energy harvester with pores can be controlled and optimized by improving the porous, surface, and geometrical parameters.

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Section: Introductionmentioning

confidence: 99%

Modeling of an energy harvester with porous piezoelectric/piezomagnetic nanocomposite structure

Fan

2022

Mathematics and Mechanics of Solids

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“…В работах [12, 13] рассматривались задачи о плоскости с двумя круговыми отверстиями и в неконцентрической трубе, где влияние поверхностных эффектов было более существенным. Из недавних работ, посвященных исследованию вклада поверхностных эффектов, отметим [14][15][16][17][18]. В настоящей работе рассмотрена задача о круговом отверстии в подвергнутой растяжению полуплоскости; в данной задаче, несмотря на довольно простую геометрию, из-за достаточно малого расстояния между границами (т.е.…”

Section: Introductionunclassified

The influence of surface effects in the problem of theory of elasticity for a circular hole in a half-plane

Gandilyan

В²

2020

PNRPU Mechanics Bulletin

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Surface effects are important for modeling structures, such as nanofilms, nanoporous materials, and other nanoscale constructions. In the current study, we consider the problem of the theory of elasticity - the problem of a half-plane containing a circular hole, stretched by constant stresses applied at infinity, and take into account surface effects such as surface elasticity and surface stresses. The problem solution has been obtained by expanding the Fourier series with the variables written in the bipolar coordinate system (which simplifies the problem solution because one of the coordinates becomes a constant on the hole contour), where the stress components are expressed through a bi-harmonic stress function. The parametric coefficients involved in the solution, namely in the Fourier series, are determined in order to satisfy the boundary conditions on the hole contour. To solve the problem, in addition to the equations of the theory of elasticity, the equations of surface elasticity were used, in particular, by applying the generalized Young-Laplace’s law and the Shuttleworth’s law; the surface stress on the hole contour has been calculated directly. Using recurrence relations for the stress components at the boundary, stress concentration values have been obtained. The resulting expressions can be considered as a generalized solution of the problem in case of the classical elasticity. The stress concentrations are compared for the cases with and without taking into account surface effects at various points on the hole contour. The contribution caused by the surface effects depending on the relative distance between the hole and the half-plane boundary is studied. It is shown that despite a quite simple geometry, owing to the fairly small distance between the hole and the half-plane boundary, the stress concentration with and without taking into account the surface stress are significantly different from each other, due to the significant contribution of surface effects.

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A Surface Energy Density-Based Theory of Nanoelastic Dynamics and Its Application in the Scattering of P-Wave by a Cylindrical Nanocavity

Jia

Peng

Yao

et al. 2020

Journal of Applied Mechanics

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The scattering of elastic waves in nanoporous materials is inevitably influenced by the surface effect of nanopores. In order to investigate such a dynamic problem with surface effect of nanomaterials, a new theory of nanoelastic dynamics is proposed, in which both the effect of surface free energy and the effect of surface inertia force are included. With the new theory, a scattering of plane compressional waves (P-wave) by a cylindrical nanocavity is analyzed, and the corresponding dynamic stress concentration factor (DSCF) around the nanocavity is analytically solved. It is found that, when the size of cavity is at a nanoscale, the surface energy effect leads to a reduction of the maximum DSCF comparing with the classical counterpart without surface effect, while the surface inertial effect enlarges the maximum DSCF. The surface inertial effect gradually becomes dominant over the surface energy effect with an increasing incident wave frequency. Although both kinds of surface effects tend to vanish with an increasing cavity radius, the surface inertial effect can exist in a submicron-sized cavity if the wave frequency is sufficiently high. All these results should be of guiding value not only for an optimal design of porous structure possessing a better dynamic load bearing capacity but also for the non-destructive detection of nano-defects.

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Surface effect on deformation around an elliptical hole by surface energy density theory

Cited by 4 publications

References 22 publications

Modeling of an energy harvester with porous piezoelectric/piezomagnetic nanocomposite structure

Modeling of an energy harvester with porous piezoelectric/piezomagnetic nanocomposite structure

The influence of surface effects in the problem of theory of elasticity for a circular hole in a half-plane

A Surface Energy Density-Based Theory of Nanoelastic Dynamics and Its Application in the Scattering of P-Wave by a Cylindrical Nanocavity

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