A hyperboloid structure as a mechanical model of the carbon bond

I. E. Berinskii; A. M. Krivtsov

doi:10.1016/j.ijsolstr.2016.06.014

A hyperboloid structure as a mechanical model of the carbon bond

I. E. Berinskii, A. M. Krivtsov

School of Mechanical Engineering

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

We present a new mechanical model of interatomic bonds, which can be used to describe the elastic properties of the carbon allotropes, such as graphite, diamond, fullerene, and carbon nanotubes. The interatomic bond is modeled by a hyperboloid–shape truss structure. The elastic characteristics of this bond are determined. Previous known structural models also used elastic elements (beams, trusses) to simulate a carbon bond. However unlike them our model satisfies to the correct ratio of the longitudinal and lateral stiffness, observed from the previous experimental and theoretical results. Parameters of the bond in application for graphene and diamond were determined.

Original language	English
Pages (from-to)	145-152
Number of pages	8
Journal	International Journal of Solids and Structures
Volume	96
DOIs	https://doi.org/10.1016/j.ijsolstr.2016.06.014
State	Published - 1 Oct 2016

Keywords

Hyperboloid model
Mechanics of carbon bond
Mechanics of nanostuctures
Molecular mechanics
Structural model

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics
General Materials Science
Modelling and Simulation

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10.1016/j.ijsolstr.2016.06.014

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title = "A hyperboloid structure as a mechanical model of the carbon bond",

abstract = "We present a new mechanical model of interatomic bonds, which can be used to describe the elastic properties of the carbon allotropes, such as graphite, diamond, fullerene, and carbon nanotubes. The interatomic bond is modeled by a hyperboloid–shape truss structure. The elastic characteristics of this bond are determined. Previous known structural models also used elastic elements (beams, trusses) to simulate a carbon bond. However unlike them our model satisfies to the correct ratio of the longitudinal and lateral stiffness, observed from the previous experimental and theoretical results. Parameters of the bond in application for graphene and diamond were determined.",

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T1 - A hyperboloid structure as a mechanical model of the carbon bond

AU - Berinskii, I. E.

AU - Krivtsov, A. M.

PY - 2016/10/1

Y1 - 2016/10/1

N2 - We present a new mechanical model of interatomic bonds, which can be used to describe the elastic properties of the carbon allotropes, such as graphite, diamond, fullerene, and carbon nanotubes. The interatomic bond is modeled by a hyperboloid–shape truss structure. The elastic characteristics of this bond are determined. Previous known structural models also used elastic elements (beams, trusses) to simulate a carbon bond. However unlike them our model satisfies to the correct ratio of the longitudinal and lateral stiffness, observed from the previous experimental and theoretical results. Parameters of the bond in application for graphene and diamond were determined.

AB - We present a new mechanical model of interatomic bonds, which can be used to describe the elastic properties of the carbon allotropes, such as graphite, diamond, fullerene, and carbon nanotubes. The interatomic bond is modeled by a hyperboloid–shape truss structure. The elastic characteristics of this bond are determined. Previous known structural models also used elastic elements (beams, trusses) to simulate a carbon bond. However unlike them our model satisfies to the correct ratio of the longitudinal and lateral stiffness, observed from the previous experimental and theoretical results. Parameters of the bond in application for graphene and diamond were determined.

KW - Hyperboloid model

KW - Mechanics of carbon bond

KW - Mechanics of nanostuctures

KW - Molecular mechanics

KW - Structural model

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U2 - 10.1016/j.ijsolstr.2016.06.014

DO - 10.1016/j.ijsolstr.2016.06.014

M3 - مقالة

SN - 0020-7683

VL - 96

SP - 145

EP - 152

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

ER -

A hyperboloid structure as a mechanical model of the carbon bond

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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