Peeling and sliding of graphene nanoribbons with periodic van der Waals interactions

Xue, Zuo; Chen, Ganbin; Wang, Changguo; Huang, Rui

doi:10.1016/j.jmps.2021.104698

Cited by 23 publications

(22 citation statements)

References 39 publications

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“…1a). As in Xue et. al (2022), we use the following values for the model parameters in numerical calculations: 𝑎 = 0.142 nm, 𝑧 = 0.334 nm, Γ = 0.25 J/m 2 , 𝜂 = 0.0032 and 𝛽 = 28.7; these parameters were obtained previously based on atomistic calculations.…”

Section: An Interlayer Potential Function For Van Der Waals Interactionsmentioning

confidence: 76%

“…describes the dependence of the interaction potential energy on the normal separation (𝑢 ) in the commensurate AB stacking (𝑢 = 𝑢 = 0), and the second term describes the periodic corrugation of the potential energy with respect to the in-plane displacements through a function, 𝑓 𝑢 , 𝑢 , with a corrugation amplitude depending on the normal separation through 𝑈 (𝑢 ). Following a previous work (Xue et. al 2022), we write…”

Section: An Interlayer Potential Function For Van Der Waals Interactionsmentioning

confidence: 95%

“…It has been shown that the interaction potential energy between two graphene layers can be written as a function of the relative displacements (Kumar et al, 2015 andXue et al, 2022), namely…”

Section: An Interlayer Potential Function For Van Der Waals Interactionsmentioning

confidence: 99%

See 2 more Smart Citations

Interlayer coupling and strain localization in small-twist-angle graphene flakes

Morovati

Xue

Liechti

et al. 2022

Extreme Mechanics Letters

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Section: An Interlayer Potential Function For Van Der Waals Interactionsmentioning

confidence: 76%

Section: An Interlayer Potential Function For Van Der Waals Interactionsmentioning

confidence: 95%

See 1 more Smart Citation

Interlayer coupling and strain localization in small-twist-angle graphene flakes

Morovati

Xue

Liechti

et al. 2022

Extreme Mechanics Letters

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“…Summarizing, a better understanding of the peeling problem on the nanoscale is a useful tool in the hands of the novel field of nano-engineering, where an extreme level of control and precision is required in assemble nanoscale machines and desirable for nanopositioning applications [16][17][18]. By considering the broader class of two-dimensional layered crystals as model systems, these results may also provide useful insights into the tearing and cracking mechanisms of highly confined nanomaterials deposited on substrates, where clear signatures underpin the conversion of bending energy into surface energy of fracture and adhesion [19][20][21].…”

Section: Discussionmentioning

confidence: 99%

Critical Peeling of Tethered Nanoribbons

Silva,

Tosatti,

Vanossi

2022

Preprint

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The peeling of an immobile adsorbed membrane is a well known problem in engineering and macroscopic tribology. In the classic setup, picking up at one extreme and pulling off results in a peeling force that is a decreasing function of the pickup angle. As one end is lifted, the detachment front retracts to meet the immobile tail. At the nanoscale, interesting situations arise with the peeling of graphene nanoribbons (GNRs) on gold, as realized, e.g., by atomic force microscopy. The nanosized system shows a constant-force steady peeling regime, where the tip lifting h produces no retraction of the ribbon detachment point, and just an advancement h of the free tail end. This is opposite to the classic case, where the detachment point retracts and the tail end stands still. Here we characterise, by analytical modeling and numerical simulations, a third, experimentally relevant, setup where the nanoribbon, albeit structurally lubric, does not have a freely moving tail end, which is instead elastically tethered. Surprisingly, novel nontrivial scaling exponents appear that regulate the peeling evolution. As the detachment front retracts and the tethered tail is stretched, power laws of h characterize the shrinking of the adhered length the growth of peeling force and the peeling angle. These exponents precede the final total detachment as a critical point, where the entire ribbon eventually hangs suspended between the tip and tethering spring. These analytical predictions are confirmed by realistic MD simulations, retaining the full atomistic description, also confirming their survival at finite experimental temperatures.

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“…Length scale for the process zone. The mechanics of 2D material interfaces are rather complex at the scale of a few nm (Zhang and Tadmor, 2018;Xue et al, 2022). For bubble systems with radii of tens of nm or larger, however, a simple model might be adopted: The tangential sheet-substrate interactions are represented by a shear stress τ (Jiang et al, 2014;Dai et al, 2016;Wang et al, 2017) and the normal sheet-substrate interactions are represented by an array of linear springs of constant stiffness K sup and initial thickness s (Fig.…”

Section: Griffith/jrk-type Adhesionmentioning

confidence: 99%

Two-dimensional crystals on adhesive substrates subjected to uniform transverse pressure

Dai,

Rao,

2022

Preprint

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In this work we consider bubbles that can form spontaneously when a two-dimensional (2D) crystal is transferred to a substrate with gases or liquids trapped at the crystal-substrate interface. The underlying mechanics may be described by a thin sheet on an adhesive substrate with the trapped fluid applying uniform transverse pressure. What makes this apparently simple problem complex is the rich interplay among geometry, interface, elasticity and instability. Particularly, extensive small-scale experiments have shown that the 2D crystal surrounding a bubble can adhere to and, meanwhile, slide on the substrate. The radially inward sliding causes hoop compression to the 2D crystal which may exploit wrinkling instabilities to relax or partially relax the compression. We present a theoretical model to understand the complex behaviors of even a linearly elastic 2D crystal due to the combination of nonlinear geometry, adhesion, sliding, and wrinkling in bubble systems. We show that this understanding not only successfully predicts the geometry of a spontaneous bubble but also reveals the strain-coupled physics of 2D crystals, e.g., the pseudomagnetic fields in graphene bubbles.

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Peeling and sliding of graphene nanoribbons with periodic van der Waals interactions

Cited by 23 publications

References 39 publications

Interlayer coupling and strain localization in small-twist-angle graphene flakes

Interlayer coupling and strain localization in small-twist-angle graphene flakes

Critical Peeling of Tethered Nanoribbons

Two-dimensional crystals on adhesive substrates subjected to uniform transverse pressure

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