Existence criteria and validity of plate models for graphene-like materials

Graphene-like (GL) materials have enriched the application prospects of two-dimensional materials by virtue of their various structures and properties. However, the following theoretical issues remain unsolved: how can stable GL materials exist and is plate idealization valid for any GL materials? H...

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Bibliographic Details
Published in:Science China. Physics, mechanics & astronomy mechanics & astronomy, 2019-05, Vol.62 (5), p.954611, Article 954611
Main Authors: Chen, JiaPeng, Wang, Biao
Format: Article
Language:English
Subjects:
Analysis
Astronomy
Classical and Continuum Physics
Criteria
Deformation
Elastic plates
Graphene
Graphite
Hybridization
Investigations
Mechanical analysis
Mechanics
Nanostructured materials
Observations and Techniques
Physics
Physics and Astronomy
Temperature effects
Thin plates
Two dimensional materials
Validity
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Summary:Graphene-like (GL) materials have enriched the application prospects of two-dimensional materials by virtue of their various structures and properties. However, the following theoretical issues remain unsolved: how can stable GL materials exist and is plate idealization valid for any GL materials? Here we answer these questions based on an atomistic potential-based approach. The existence criteria for GL materials with three common structures, including planar honeycomb (PH), buckled honeycomb (BH), and honeycomb MX 2 (2H-MX 2 ) structures, were established. Moreover, the validity of classic linear-elastic plate models for these materials was examined. A validity factor, which represents the validity of using thin plate models to investigate the overall mechanical response of GL sheets, was defined. We determined that 2H-MX 2 sheets can approximately be modeled as thin plates for arbitrary loadings, unlike PH and BH sheets.
ISSN:1674-7348
1869-1927
DOI:10.1007/s11433-018-9332-2