An Atomistic-Based Nonlinear Plate Theory for Hexagonal Boron Nitride

Through the continuity of the DREIDING force field, we propose, for the first time, the finite-deformation plate theory for the single-layer hexagonal boron nitride (h-BN) to clarify the atomic source of the structure against deformations. Divergent from the classical Föppl-von Karman plate theory,...

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Autores principales: Kun Huang, Jiye Wu, Yajun Yin
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Lenguaje:EN
Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/ecca892662014b7d913fd7f82acfe3a6
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spelling oai:doaj.org-article:ecca892662014b7d913fd7f82acfe3a62021-11-25T18:32:35ZAn Atomistic-Based Nonlinear Plate Theory for Hexagonal Boron Nitride10.3390/nano111131132079-4991https://doaj.org/article/ecca892662014b7d913fd7f82acfe3a62021-11-01T00:00:00Zhttps://www.mdpi.com/2079-4991/11/11/3113https://doaj.org/toc/2079-4991Through the continuity of the DREIDING force field, we propose, for the first time, the finite-deformation plate theory for the single-layer hexagonal boron nitride (h-BN) to clarify the atomic source of the structure against deformations. Divergent from the classical Föppl-von Karman plate theory, our new theory shows that h-BN’s two in-plane mechanical parameters are independent of two out-of-plane mechanical parameters. The new theory reveals the relationships between the h-BN’s elastic rigidities and the atomic force field: (1) two in-plane elastic rigidities come from the bond stretching and the bond angle bending; (2) the bending rigidity comes from the inversion angle and the dihedral angle torsion; (3) the Gaussian rigidity only comes from the dihedral angle torsion. Mechanical parameters obtained by our theory align with atomic calculations. The new theory proves that two four-body terms in the DREIDING force field are necessary to model the h-BN’s mechanical properties. Overall, our theory establishes a foundation to apply the classical plate theory on the h-BN, and the approach in this paper is heuristic in modelling the mechanical properties of the other two-dimensional nanostructures.Kun HuangJiye WuYajun YinMDPI AGarticlehexagonal boron nitridegrapheneDREIDING force fieldFöppl-von Karman plate theoryGaussian curvatureYakobson paradoxChemistryQD1-999ENNanomaterials, Vol 11, Iss 3113, p 3113 (2021)
institution DOAJ
collection DOAJ
language EN
topic hexagonal boron nitride
graphene
DREIDING force field
Föppl-von Karman plate theory
Gaussian curvature
Yakobson paradox
Chemistry
QD1-999
spellingShingle hexagonal boron nitride
graphene
DREIDING force field
Föppl-von Karman plate theory
Gaussian curvature
Yakobson paradox
Chemistry
QD1-999
Kun Huang
Jiye Wu
Yajun Yin
An Atomistic-Based Nonlinear Plate Theory for Hexagonal Boron Nitride
description Through the continuity of the DREIDING force field, we propose, for the first time, the finite-deformation plate theory for the single-layer hexagonal boron nitride (h-BN) to clarify the atomic source of the structure against deformations. Divergent from the classical Föppl-von Karman plate theory, our new theory shows that h-BN’s two in-plane mechanical parameters are independent of two out-of-plane mechanical parameters. The new theory reveals the relationships between the h-BN’s elastic rigidities and the atomic force field: (1) two in-plane elastic rigidities come from the bond stretching and the bond angle bending; (2) the bending rigidity comes from the inversion angle and the dihedral angle torsion; (3) the Gaussian rigidity only comes from the dihedral angle torsion. Mechanical parameters obtained by our theory align with atomic calculations. The new theory proves that two four-body terms in the DREIDING force field are necessary to model the h-BN’s mechanical properties. Overall, our theory establishes a foundation to apply the classical plate theory on the h-BN, and the approach in this paper is heuristic in modelling the mechanical properties of the other two-dimensional nanostructures.
format article
author Kun Huang
Jiye Wu
Yajun Yin
author_facet Kun Huang
Jiye Wu
Yajun Yin
author_sort Kun Huang
title An Atomistic-Based Nonlinear Plate Theory for Hexagonal Boron Nitride
title_short An Atomistic-Based Nonlinear Plate Theory for Hexagonal Boron Nitride
title_full An Atomistic-Based Nonlinear Plate Theory for Hexagonal Boron Nitride
title_fullStr An Atomistic-Based Nonlinear Plate Theory for Hexagonal Boron Nitride
title_full_unstemmed An Atomistic-Based Nonlinear Plate Theory for Hexagonal Boron Nitride
title_sort atomistic-based nonlinear plate theory for hexagonal boron nitride
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/ecca892662014b7d913fd7f82acfe3a6
work_keys_str_mv AT kunhuang anatomisticbasednonlinearplatetheoryforhexagonalboronnitride
AT jiyewu anatomisticbasednonlinearplatetheoryforhexagonalboronnitride
AT yajunyin anatomisticbasednonlinearplatetheoryforhexagonalboronnitride
AT kunhuang atomisticbasednonlinearplatetheoryforhexagonalboronnitride
AT jiyewu atomisticbasednonlinearplatetheoryforhexagonalboronnitride
AT yajunyin atomisticbasednonlinearplatetheoryforhexagonalboronnitride
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