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The method of molecular dynamics and molecular mechanics has been used to numerically simulate the formation of wrinkle systems during compression of a graphene sheet lying on a flat solid substrate. It is shown that under uniaxial…

Mesoscale and Nanoscale Physics · Physics 2024-12-13 Alexander V. Savin , Artem P. Klinov

Using atomistic simulations we investigate the morphological properties of graphene deposited on top of a nanostructured substrate. Sinusoidally corrugated surfaces, steps, elongated trenches, one dimensional and cubic barriers, spherical…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 M. Neek-Amal , F. M. Peeters

Graphene is intrinsically non-flat and corrugates randomly. Since the corrugating physics of atomically-thin graphene is strongly tied to its electronics properties, randomly corrugating morphology of graphene poses significant challenge to…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 Teng Li

Thin membranes exhibit complex responses to external forces or geometrical constraints. A familiar example is the wrinkling, exhibited by human skin, plant leaves, and fabrics, resulting from the relative ease of bending versus stretching.…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Mahito Yamamoto , Olivier Pierre-Louis , Jia Huang , Michael S. Fuhrer , T. L. Einstein , William G. Cullen

Modeling of wrinkles and folds formation in single and multilayer graphene sheets lying on flat deformable (polymer) substrates has been carried out. It is shown that the deformability of the substrate leads to the appearance of significant…

Mesoscale and Nanoscale Physics · Physics 2024-07-09 Alexander V. Savin

Graphene-based nanofolds (GNFs) are edge-connected 2D stacked monolayers originated from single-layer graphene. Graphene-based nanoscrolls (GNSs) are nanomaterials with geometry resembling graphene layers rolled up into a spiral…

Materials Science · Physics 2021-09-23 Marcelo Lopes Pereira Junior , Luiz Antonio Ribeiro Junior

Wrinkles in monolayer graphene (GN) affect the GN electronic and transport properties. Defined network of wrinkles can be reached by placing the GN on the substrate decorated with the nanoparticles (NPs). In order to explain mechanism…

Mesoscale and Nanoscale Physics · Physics 2015-12-02 Barbara Pacakova , Jana Vejpravova , Anton Repko , Alice Mantlikova , Martin Kalbac

We delineate a general theoretical framework to determine the substrate-regulated graphene morphology through energy minimization. We then apply such a framework to study the graphene morphology on a substrate with periodic surface grooves.…

Materials Science · Physics 2010-02-05 Teng Li , Zhao Zhang

The presence of wrinkles in Graphene Nanoribbons (GNR) and other two-dimensional (2D) materials significantly alter their mechanical, electronic, optical properties, which can be either beneficial or detrimental. Experimentally, it has been…

Materials Science · Physics 2020-01-06 Jatin Kashyap , Eui-Hyeok Yang , Dibakar Datta

Diffusion and drift of a graphene flake on a graphite surface are analyzed. A potential energy relief of the graphene flake is computed using ab initio and empirical calculations. Based on the analysis of this relief, different mechanisms…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Irina V. Lebedeva , Andrey A. Knizhnik , Andrey M. Popov , Olga V. Ershova , Yurii E. Lozovik , Boris V. Potapkin

The graphene morphology regulated by nanowires patterned in parallel on a substrate surface is quantitatively determined using energy minimization. The regulated graphene morphology is shown to be governed by the nanowire diameter, the…

Materials Science · Physics 2011-11-21 Zhao Zhang , Teng Li

Graphene, the 2D form of carbon, has excellent mechanical, electrical and thermal properties and a variety of potential applications including NEMS, protective coatings, transparent electrodes in display devices and biological applications.…

Mesoscale and Nanoscale Physics · Physics 2018-08-20 Narasimha G Boddeti , Rong Long , Martin L Dunn

Graphene, dubbed as a two-dimensional material represents the topological concept of "surface" embedded in a three-dimensional space. This regard enables to employ existing theories/tools in topology to understand different…

Mesoscale and Nanoscale Physics · Physics 2018-09-27 Hadi Arjmandi-Tash , Alexander Kloosterman , Gregory F. Schneider

The exceptional mechanical properties of graphene have made it attractive for nano-mechanical devices and functional composite materials. Two key aspects of graphene's mechanical behavior are its elastic and adhesive properties. These are…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Scott Scharfenberg , D. Z. Rocklin , Cesar Chialvo , Richard L. Weaver , Paul M. Goldbart , Nadya Mason

Wrinkling is a ubiquitous phenomenon in two-dimensional membranes. In particular, in the large-scale growth of graphene on metallic substrates, high densities of wrinkles are commonly observed. Despite their prevalence and potential impact…

Mesoscale and Nanoscale Physics · Physics 2012-07-13 Wenjuan Zhu , Tony Low , Vasili Perebeinos , Ageeth A. Bol , Yu Zhu , Hugen Yan , Jerry Tersoff , Phaedon Avouris

Graphene is a truly two-dimensional atomic crystal with exceptional electronic and mechanical properties. Whereas conventional bulk and thin-film materials have been studied extensively, the key mechanical properties of graphene, such as…

Materials Science · Physics 2010-05-25 Dipanjan Sen , Kostya S. Novoselov , Pedro M. Reis , Markus J. Buehler

We use density functional theory to determine the equilibrium shape of graphene flakes, through the calculation of the edge orientation dependence of the edge energy and edge stress of graphene nanoribbons. The edge energy is a nearly…

Mesoscale and Nanoscale Physics · Physics 2011-08-08 Chee Kwan Gan , David J. Srolovitz

This work presents a Euler-Bernoulli beam finite element (FE) model to study the interlayer interaction mechanics of graphene nanoribbon (GNR) over a graphene substrate. The FE model is calibrated using molecular dynamics (MD) simulations…

Computational Physics · Physics 2025-09-11 Gourav Yadav , Aningi Mokhalingam , Roger A. Sauer , Shakti S. Gupta

We study the adhesion of an elastic sheet on a rigid spherical substrate. Gauss'Theorema Egregium shows that this operation necessarily generates metric distortions (i.e. stretching) as well as bending. As a result, a large variety of…

Soft Condensed Matter · Physics 2015-05-27 J. Hure , B. Roman , J. Bico

We examine the competition between adhesive and bending energies for few-layered graphene samples placed on rigid, microscale-corrugated substrates. Using atomic force microscopy, we show that the graphene undergoes a sharp "snap-through"…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Scott Scharfenberg , Nikhita Mansukhani , Cesar Chialvo , Richard L. Weaver , Nadya Mason
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