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,...
Guardado en:
Autores principales: | , , |
---|---|
Formato: | article |
Lenguaje: | EN |
Publicado: |
MDPI AG
2021
|
Materias: | |
Acceso en línea: | https://doaj.org/article/ecca892662014b7d913fd7f82acfe3a6 |
Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
id |
oai:doaj.org-article:ecca892662014b7d913fd7f82acfe3a6 |
---|---|
record_format |
dspace |
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 |
_version_ |
1718411052024070144 |