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Continuum contact model for friction between graphene sheets that accounts for surface anisotropy and curvature

Abstract

Understanding the interaction mechanics between graphene layers and co-axial carbon nanotubes (CNTs) is essential for modeling graphene and CNT-based nanoelectromechanical systems. This work proposes a new continuum contact model to study interlayer interactions between curved graphene sheets. The continuum model is calibrated and validated using molecular dynamics (MD) simulations. These are carried out employing the reactive empirical bond order (REBO)+Lennard-Jones (LJ) potential to model the interactions within a sheet, while the LJ, Kolmogorov-Crespi (KC), and Lebedeva potentials are used to model the interactions between sheets. The continuum contact model is formulated for separation distances greater than 0.29 nm, when sliding contact becomes non-dissipative and can be described by a potential. In this regime, sheet deformations are sufficiently small and do not affect the sheet interactions substantially. This allows to treat the master contact surface as rigid, thus simplifying the contact formulation greatly. The model calibration is conducted systematically for a sequence of different stackings using existing and newly proposed ansatz functions. The calibrated continuum model is then implemented in a curvilinear finite element (FE) shell formulation to investigate the pull-out and twisting interactions between co-axial CNTs. The resisting pull-out forces and torques depend strongly on the chirality of the considered CNTs. The absolute differences between FE and MD results are very small, and can be attributed to model assumptions and loading conditions.

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Category:
Articles
Type:
artykuły w czasopismach
Published in:
PHYSICAL REVIEW B no. 109,
ISSN: 2469-9950
Language:
English
Publication year:
2024
Bibliographic description:
Mokhalingam A., Gupta S., Sauer R.: Continuum contact model for friction between graphene sheets that accounts for surface anisotropy and curvature// PHYSICAL REVIEW B -, (2024), s.035435-
DOI:
Digital Object Identifier (open in new tab) 10.1103/physrevb.00.005400
Sources of funding:
  • Free publication
Verified by:
Gdańsk University of Technology

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