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In the direct approach to continua in reduced space dimensions, a thin shell is described as a mathematical surface in three-dimensional space. An exploratory kinematic study of such surfaces could be very valuable, especially if conducted…

Differential Geometry · Mathematics 2025-12-25 Andre M. Sonnet , Epifanio G. Virga

Graphene layers are stable, hard, and relatively inert. We study how tensile stress affects $\sigma$ and $\pi$ bonds and the resulting change in the chemical activity. Stress affects more strongly $\pi$ bonds that can become chemically…

Materials Science · Physics 2015-05-13 P. L. de andres , J. A. Verges

As graphene became one of the most important materials today, there is a renewed interest on others similar structures. One example is silicene, the silicon analogue of graphene. It share some the remarkable graphene properties, such as the…

Mesoscale and Nanoscale Physics · Physics 2014-10-06 T. Botari , E. Perim , P. A. S. Autreto , A. C. T. van Duin , R. Paupitz , D. S. Galvao

Room temperature simulations of graphene have been performed as a function of the mechanical tension of the layer. Finite-size effects are accurately reproduced by an acoustic dispersion law for the out-of-plane vibrations that, in the…

Materials Science · Physics 2017-03-01 R. Ramirez , C. P. Herrero

Contrary to most materials, graphene exhibits a negative thermal expansion coefficient (TEC), i.e it contracts when heated. This contraction is due to the thermal excitation of low energy out-of-plane vibration modes. These flexural modes…

We examine the mechanical properties of graphene devices stretched on flexible elastomer substrates. Using atomic force microscopy, transport measurements, and mechanics simulations, we show that micro-rips form in the graphene during the…

Mesoscale and Nanoscale Physics · Physics 2015-03-05 J. Henry Hinnefeld , Stephen T. Gill , Shuze Zhu , William J. Swanson , Teng Li , Nadya Mason

We find that circular kinks form on the surface of granular material when the axis of rotation is tilted more than the angle of internal friction of the material. Radius of the kinks is measured as a function of the spinning speed and the…

Statistical Mechanics · Physics 2009-10-31 Sangsoo Yoon , Byeong-ho Eom , Jysoo Lee , Insuk Yu

The lambda-phi4 kink is linearly and topologically stable. We study how extra energy perturbations are dissipated beyond the linear regime. We found that depending on the width, amplitude and energy of a Gaussian perturbation different…

Pattern Formation and Solitons · Physics 2010-04-28 Hernán Piragua , Patricio S. Letelier

Recent experimental studies have observed a surprisingly wide range of strengths in polycrystalline graphene. Previous computational investigations of graphene tilt boundaries have highlighted the role of interfacial topology in determining…

Materials Science · Physics 2025-09-23 Matthew Daly , Chandra Veer Singh

Magnetic materials and nanostructures based on carbon offer unique opportunities for future technological applications such as spintronics. This article reviews graphene-derived systems in which magnetic correlations emerge as a result of…

Mesoscale and Nanoscale Physics · Physics 2010-04-13 Oleg V. Yazyev

We explore a {\phi}^4 model with an added external parabolic potential term. This term dramatically alters the spectral properties of the system. We identify single and multiple kink solutions and examine their stability features;…

Mathematical Physics · Physics 2018-05-02 R. M. Ross , P. G. Kevrekidis , D. K. Campbell , R. Decker , A. Demirkaya

Using calculations on defective graphene from first principles, we herein consider the dependence of the properties of the monovacancy of graphene under isotropic strain, with a particular focus on spin moments. At zero strain, the vacancy…

Mesoscale and Nanoscale Physics · Physics 2010-12-16 E. J. G. Santos , S. Riikonen , D. Sanchez-Portal , A. Ayuela

The effects of electron interaction on the magnetoconductance of graphene nanoribbons (GNRs) are studied within the Hartree approximation. We find that a perpendicular magnetic field leads to a suppression instead of an expected improvement…

Mesoscale and Nanoscale Physics · Physics 2014-02-12 A. A. Shylau , I. V. Zozoulenko , H. Xu , T. Heinzel

Finite-temperature properties of graphene monolayers under tensile stress have been studied by path-integral molecular dynamics (PIMD) simulations. This method allows one to consider the quantization of vibrational modes in these…

Materials Science · Physics 2018-02-14 Carlos P. Herrero , Rafael Ramirez

Graphene, due to its superior stretchability, exhibits rich structural deformation behaviors and its strain-engineering has proven useful in modifying its electronic and magnetic properties. Despite the strain-sensitivity of the Raman G and…

Materials Science · Physics 2012-09-04 Ji Eun Lee , Gwanghyun Ahn , Jihye Shim , Young Sik Lee , Sunmin Ryu

Graphane is a two-dimensional system consisting of a single planar layer of fully saturated (sp$^3$ hybridization) carbon atoms with H atoms attached to them in an alternating pattern (up and down with relation to the plane defined by the…

Materials Science · Physics 2009-03-03 Sergio B. Legoas , Pedro A. S. Autreto , Marcelo Z. S. Flores , Douglas S. Galvao

A class of kinetically constrained models with reflection symmetry is proposed as an extension of the Fredrickson-Andersen model. It is proved that the proposed model on the square lattice exhibits a freezing transition at a non-trivial…

Statistical Mechanics · Physics 2025-01-06 Hiroki Ohta , Shin-ichi Sasa

The interaction of graphene with neighboring materials and structures plays an important role in its behavior, both scientifically and technologically. The interactions are complicated due to the interplay between surface forces and…

Materials Science · Physics 2015-06-05 J. Scott Bunch , Martin L. Dunn

We explore the effect of mechanical strain on the electronic spectrum of patterned graphene based heterostructures. We focus on the competition of Kekul\'e-O type distortion favoring a trivial phase and commensurate Kane-Mele type…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Zoltán Tajkov , János Koltai , József Cserti , László Oroszlány

The mechanical behavior of graphitic materials is greatly affected by the weak interlayer bonding with van der Waals forces for a range of thickness from nano to macroscale. Herein, we present a comprehensive study of the effect of layer…