A grillage model for predicting wrinkles in annular graphene under circular shearing

Zhang, Zhen; Duan, Wenhui; Wang, Chen

doi:10.1063/1.4772621

Cited by 10 publications

(7 citation statements)

References 44 publications

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“…In this framework the differences in wrinkling pattern between graphene and graphynes were analysed. It was found that the wave numbers of graphene remain constant, i.e., 9, from the wrinkling initiation to the first bond breaking, which is consistent with previous research [38]. It must be pointed out that the ratios of outer-to-inner radius can affect the wave number.…”

Section: Resultssupporting

confidence: 88%

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Wrinkling Behaviour of Annular Graphynes under Circular Shearing Load Using Molecular Dynamics Simulations

Tian

Cai

2015

Nanomaterials and Nanotechnology

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Graphyne, a novel carbon allotrope, is a two-dimensional lattice of sp 2 +sp 1 hybridization-type carbon atoms, similar to graphene. The initiation and development of wrinkles in single-layer graphynes (α-, β-, γ-, and 6, 6, 12-graphyne) subjected to in-plane circular shearing are investigated. In comparison with graphene, wrinkle pattern and profile characterization in relation to wave number, wavelength and amplitude of graphynes are extensively explored using classic molecular-dynamics (MD) simulations. Unlike graphene, the wave numbers of graphynes increase with increasing rotational angles; the wavelengths reduce correspondingly. The amplitudes show an increasing trend, with some local drops when the rotational angles increase. The drops occur as the positions of the wave numbers increase. Graphynes have superior fracture properties to graphene, despite the densities of graphynes being far lower. The fracture rotational angles depend on the percentages of acetylenic linkages in the graphyne structures: the more acetylenic linkages, the larger the fracture rotational angles. Meanwhile, acetylenic linkages also affect the bond length strains of the graphynes during the wrinkling process. The influences of the temperature on the fracture rotational angles are also examined to obtain further insights into the mechanical properties of such kinds of carbon allotropes. The achieved results can be used as guidelines for the wrinkling control and potential applications of graphynes.

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Section: Resultssupporting

confidence: 88%

“…The wrinkling pattern presents decay along the longitudinal direction and indicates a transition from bending to stretching. Hence, from the shape of each wrinkle there is an interchange of bending energy and stretching energy, which is in good agreement with previous research results obtained for annular graphene [38,39].…”

Section: Wrinkle Patternsupporting

confidence: 92%

Wrinkling Behaviour of Annular Graphynes under Circular Shearing Load Using Molecular Dynamics Simulations

Tian

Cai

2015

Nanomaterials and Nanotechnology

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“…The finite element method has been used in a variety of studies of wrinkling in thin sheets (Zheng 2009;Wong and Pellegrino 2006c;Nayyar et al 2011;Healey et al 2013;Carbonez 2013). There are typically three approaches used: static post-buckling (Zheng 2009;Wong and Pellegrino 2006c), the Riks method (Nayyar et al 2011), and explicit (Zhang et al 2013). The first two rely on an initial analysis to determine the buckling eigenmodes of the sheet.…”

Section: Overview Of Numerical Approachesmentioning

confidence: 99%

A comparative analysis of numerical approaches to the mechanics of elastic sheets

Taylor

Davidovitch

Qiu

et al. 2015

Journal of the Mechanics and Physics of Solids

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Numerically simulating deformations in thin elastic sheets is a challenging problem in computational mechanics due to destabilizing compressive stresses that result in wrinkling. Determining the location, structure, and evolution of wrinkles in these problems have important implications in design and is an area of increasing interest in the fields of physics and engineering. In this work, several numerical approaches previously proposed to model equilibrium deformations in thin elastic sheets are compared. These include standard finite element-based static post-buckling approaches as well as a recently proposed method based on dynamic relaxation, which are applied to the problem of an annular sheet with opposed tractions where wrinkling is a key feature. Numerical solutions are compared to analytic predictions, enabling a quantitative evaluation of the predictive power of the various methods. Results indicate that static finite element approaches are highly sensitive to initial imperfections, relying on a priori knowledge of the equilibrium wrinkling pattern to generate optimal results. In contrast, dynamic relaxation is much less sensitive to initial imperfections and can generate solutions for a wide variety of loading conditions without requiring knowledge of the equilibrium solution beforehand.

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“…Zhang et al studied the formation and characteristics of the wrinkles in annular graphene under inplane rotation combing grillage model and molecular dynamics simulation. 32,33 Qin et al investigated the effect of wrinkles on the surface area of graphene using classical molecular dynamics simulations, and suggested that the high specic surface area of graphene can only be affected up to 2% regardless of loading conditions, geometry, and defects. 34 Li et al reported the wrinkling characteristics of surface functionalized graphene and graphyne under circular shearing at the inner edge.…”

Section: Introductionmentioning

confidence: 99%

Tunable thermal conductivities of graphene and graphyne under in-plane torsion

Lin

et al. 2017

RSC Adv.

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A grillage model for predicting wrinkles in annular graphene under circular shearing

Abstract: Strengthening metal nanolaminates under shock compression through dual effect of strong and weak graphene interface Appl. Phys. Lett.

Cited by 10 publications

References 44 publications

Wrinkling Behaviour of Annular Graphynes under Circular Shearing Load Using Molecular Dynamics Simulations

Wrinkling Behaviour of Annular Graphynes under Circular Shearing Load Using Molecular Dynamics Simulations

A comparative analysis of numerical approaches to the mechanics of elastic sheets

Tunable thermal conductivities of graphene and graphyne under in-plane torsion

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