Decoupling the effects of material thickness and size scale on the transverse free vibration of BNNTs based on beam models

Yan, Jia-Bao; Zhu, Jingjing; Li, C.; Zhao, Xiushao; Lim, C.W.

doi:10.1016/j.ymssp.2021.108440

Cited by 17 publications

(7 citation statements)

References 49 publications

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“…Its application in the free vibration behaviors has achieved major successes. To promote this method to complex problems, numerous computational methods have been developed to seek a much wider application [49][50][51][52][53][54]. Due to the superiority in higher-order continuum, Moving Kriging interpolation [55][56][57] was employed to construct the shape function for the meshless method.…”

Section: Introductionmentioning

confidence: 99%

A proposition: feasibility of classical plate theory on bending monolayer graphene

Yan

Jiang

et al. 2023

Phys. Scr.

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In this paper, we carry out a comparison study between classical plate theory and “bottom to top” atomistic-continuum multiscale model regarding the prediction of bending of monolayer graphene to state the general feasibility of classical plate theory. We replaced the commonly used interlayer spacing value by the newly launched intrinsic material thickness value as the monolayer graphene thickness. Based on this correction, we amend the flexural rigidity and found that classical plate theory gives a much better prediction of the force-bending deflection curve for various graphene obtained by the atomistic-continuum multiscale approach. The onset of weak nonlinearity observed by the atomistic-continuum approach is at a midpoint deflection of ~0.01 nm, approximately 0.14 w/h ratio, which secondarily confirm the feasibility of our newly proposed intrinsic material thickness value. The effect of boundary constraint, graphene size and loading mode on the bending of graphene is discussed to explain the cause of deviation between the two methods, and finally we confirm the feasibility of classical plate theory on bending monolayer graphene.

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Section: Introductionmentioning

confidence: 99%

A proposition: feasibility of classical plate theory on bending monolayer graphene

Yan

Jiang

et al. 2023

Phys. Scr.

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“…Lu et al (2021b) analyzed the non-linear stability of the axial compression characteristics of graphene nanoplatelet random-reinforced composites. A new model was established to decouple the elastic properties of singlewalled boron nitride nanotubes and their material thickness, and the physical significance of the thickness determination process and scale parameters of one-atom-thick materials was clarified (Yan et al, 2022a). Yan et al (2022b) researched the mechanical bistability properties and analyzed the stable configuration and transformation process of bistable graphene under distributed compressive and uniformly out-of-plane loads according to a multi-scale computational framework.…”

Section: Introductionmentioning

confidence: 99%

Non-Linear Instability of Pin-Ended Functionally Graded Material Arches Under Locally Distributed Radial Loads

Zhou

et al. 2022

Front. Mater.

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The arch is a common structural form in bridge engineering; its collapse is often caused by instability. In this article, in-plane nonlinear instability of pin-ended functionally graded material (FGM) arches with two cross-sectional types under local radial loads is studied. New analytical solutions to nonlinear equilibrium paths, limit point instability, bifurcation instability, and multiple limit point instability of pin-ended FGM arches under local radial load are obtained. Modified slenderness corresponding to different instability patterns of FGM arches is also derived. Comparison with the numerical results of ANSYS demonstrates that the analytical solution is accurate. The results show that cross-sectional types of FGM arches have a great influence on limit-point instability and bifurcation instability. Localized parameters increase lead-to-limit point instability load and bifurcation instability load increases, while increasing the modified slenderness ratio results in decreased limit point instability load and bifurcation instability load. In addition, a material proportion coefficient and power law index increase can also lead to limit point instability load and bifurcation instability load decrease.

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“…Two different methods, namely separation of variables and multiple scales analysis, are applied to the governing equation. Of course, many other numerical methods [16][17][18][19][20][21][22][23] can deal with nonlinear partial differential equations and other more complex models. For the linear vibration model of micro-rods in this study, the above two methods are enough to solve and the results with sufficient accuracy can be obtained.…”

Section: Introductionmentioning

confidence: 99%

Lateral Free Vibration of Micro-Rods Using a Nonlocal Continuum Approach

Xie

Zhang²,

Chen

et al. 2022

J. Adv. App. Comput. Math.

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The lateral free vibration of micro-rods initially subjected to axial loads based on a nonlocal continuum theory is considered. The effects of nonlocal long-range interaction fields on the natural frequencies and vibration modes are examined. A simply supported micro-rod is taken as an example; the linear vibration responses are observed by two different methods, including the separation of variables and multiple scales analysis. The relations between the vibration mode and dimensionless coordinate and the relations between natural frequencies and nonlocal parameters are analyzed and discussed in detail. The numerical comparison shows that the theoretical results by two different approaches have a good agreement, which validates the present micro-rod model that can be used as a component of the micro-electromechanical system.

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Decoupling the effects of material thickness and size scale on the transverse free vibration of BNNTs based on beam models

Cited by 17 publications

References 49 publications

A proposition: feasibility of classical plate theory on bending monolayer graphene

A proposition: feasibility of classical plate theory on bending monolayer graphene

Non-Linear Instability of Pin-Ended Functionally Graded Material Arches Under Locally Distributed Radial Loads

Lateral Free Vibration of Micro-Rods Using a Nonlocal Continuum Approach

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