A Survey of Interlayer Interaction Models for Graphene and Other 2D Materials

ABSTRACT This work presents a survey of mechanical models describing van der Waals interactions between 2D materials, encompassing both continuous elastomer‐like materials and discrete (crystalline) 2D materials such as graphene. These interactions give rise to a range of physical phenomena, including contact instabilities, Moiré patterns, surface reconstructions, and superlubricity. The underlying contact forces follow from the variation of an interfacial interaction potential. The presentation first discusses normal contact models, and then tangential contact models. Both atomistic and continuum approaches are considered. In addition, the influence of external loading and changes in length scale on the ground state configuration and frictional contact behavior are analyzed. A particular emphasis is placed on discussing strategies that reduce computational cost in multiscale modeling.

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Publication Details

Journal
Advanced Materials Interfaces
Published
2026-06-08
DOI
https://doi.org/10.1002/admi.70553
Primary Topic
Force Microscopy Techniques and Applications
Type
article
Field-Weighted Citation Impact
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article

A Survey of Interlayer Interaction Models for Graphene and Other 2D Materials

Roger A. Sauer, Shakti S. Gupta, Gourav Yadav
Advanced Materials Interfaces
Force Microscopy Techniques and Applications
article

A Survey of Interlayer Interaction Models for Graphene and Other 2D Materials

Roger A. Sauer, Shakti S. Gupta, Gourav Yadav
article en

Abstract

ABSTRACT This work presents a survey of mechanical models describing van der Waals interactions between 2D materials, encompassing both continuous elastomer‐like materials and discrete (crystalline) 2D materials such as graphene. These interactions give rise to a range of physical phenomena, including contact instabilities, Moiré patterns, surface reconstructions, and superlubricity. The underlying contact forces follow from the variation of an interfacial interaction potential. The presentation first discusses normal contact models, and then tangential contact models. Both atomistic and continuum approaches are considered. In addition, the influence of external loading and changes in length scale on the ground state configuration and frictional contact behavior are analyzed. A particular emphasis is placed on discussing strategies that reduce computational cost in multiscale modeling.

Advanced Materials Interfaces
Indian Institute of Technology Guwahati (IN), Gdańsk University of Technology (PL), University of Gdańsk (PL), Ruhr University Bochum (DE), Indian Institute of Technology Kanpur (IN)
Openalex Percentile: Top 6%
Force Microscopy Techniques and Applications
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