Mesomechanics of multiwall carbon nanotubes and nanowhiskers

Goldstein, R. V.; Городцов, В. А.; Lisovenko, D. S.

doi:10.1016/j.physme.2009.03.005

Cited by 16 publications

(5 citation statements)

References 62 publications

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“…Phase LA3 possesses a considerable difference between maximal and minimal values of Young’s modulus, about four times. It is very similar to graphite, which exhibits almost zero Young’s modulus along the [001] direction and a maximal Young’s modulus of 1000 GPa along the [010] direction [ 94 ]. The reason for low strength for DLPs is the distribution of lattice bonds.…”

Section: Results and Discussionmentioning

confidence: 99%

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An Overview of Mechanical Properties of Diamond-like Phases under Tension

Baimova

2024

Nanomaterials

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Diamond-like phases are materials with crystal lattices very similar to diamond. Recent results suggest that diamond-like phases are superhard and superstrong materials that can be used for tribological applications or as protective coatings. In this work, 14 stable diamond-like phases based on fullerenes, carbon nanotubes, and graphene layers are studied via molecular dynamics simulation. The compliance constants, Young’s modulus, and Poisson’s ratio were calculated. Deformation behavior under tension is analyzed based on two deformation modes—bond rotation and bond elongation. The results show that some of the considered phases possess very high Young’s modulus (E≥1) TPa, even higher than that of diamond. Both Young’s modulus and Poisson’s ratio exhibit mechanical anisotropy. Half of the studied phases are partial auxetics possessing negative Poisson’s ratio with a minimum value of −0.8. The obtained critical values of applied tensile strain confirmed that diamond-like phases are high-strength structures with a promising application prospect. Interestingly, the critical limit is not a fracture but a phase transformation to the short-ordered crystal lattice. Overall, our results suggest that diamond-like phases have extraordinary mechanical properties, making them good materials for protective coatings.

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Section: Results and Discussionmentioning

confidence: 99%

“… Young’s modulus and Poisson’s ratio for all studied DLPs (shown by rhombus) compared with the literature (shown by stars) [ 72 , 73 , 87 , 88 , 90 , 91 , 92 , 93 , 94 ]. …”

Section: Figurementioning

confidence: 99%

An Overview of Mechanical Properties of Diamond-like Phases under Tension

Baimova

2024

Nanomaterials

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“…With respect to their structure, laminar nanotubules can be crystalline rods of nanometer section formed by rolling nanosheets into cylinders [3]. A diagram of one type of such nanotubules is shown in Fig.…”

Section: Elastic Materials With Cylindrical Orthotropic Anisotropy Wasmentioning

confidence: 99%

“…Due to this, it has become possible to satisfactorily describe their mechanical properties with methods of the mechanics of continuous media, the classic theory of elasticity in particular. The thin rod model from the linear theory of elasticity is used for analyzing nanowhiskers and nanotubules made from different materials.With respect to their structure, laminar nanotubules can be crystalline rods of nanometer section formed by rolling nanosheets into cylinders [3]. A diagram of one type of such nanotubules is shown in Fig.…”

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confidence: 99%

Values of poisson’s coefficient for cylindrically anisotropic materials for chemical fibres, nanotubules, and nanowhiskers

Sidorov

2011

Fibre Chem

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Elastic material with cylindrical orthotropic anisotropy was analyzed. A general inequality for the Poisson's ratios of the cylindrical orthotropic materials was derived. It was shown that in this case, Poisson's ratios can take on any values that satisfy this inequality.Poisson's ratios (PR) of chemical fibres were of purely theoretical value for a long time and were measured by the relative transverse and longitudinal changes in the size of the fibre in the region of large deformations [1]. This was primarily due to the small transverse dimensions of the fibres. Both the methods and the instrumental base were far from perfect. The measurements of these ratios had no significant practical value, since PR did not markedly affect the properties of the overwhelming majority of textile articles. For this reason, almost no attention was focused on textile materials science in the literature until recently. Whenever this topic was touched upon, the information was either relatively vague or inaccurate. The authors of [1] state: "For isotropic bodies, the theory of elasticity shows that the values of ν should be within the limits of 0-0.5," which contradicts current theoretical and experimental concepts.With the development of production of fibre-reinforced composites, the question of the values of the PR of fibres became more pressing, since these ratios began to be used in calculations of the mechanical properties of composites and structures made from them. More refined methods of measuring them were also demanded. However, it was necessary to develop more scientifically substantiated methods [2]. for this reason, the question of the theoretical limits of initially isotropic materials and fibres made from them and when highly oriented fibres -and anisotropic fibres -appeared, matured.New interest in examining the PR was recently stimulated by studying nanotubules (hollow nanorods) and nanowhiskers (continuous nanorods) greater than several nanometers in size which contain thousands of atoms. Due to this, it has become possible to satisfactorily describe their mechanical properties with methods of the mechanics of continuous media, the classic theory of elasticity in particular. The thin rod model from the linear theory of elasticity is used for analyzing nanowhiskers and nanotubules made from different materials.With respect to their structure, laminar nanotubules can be crystalline rods of nanometer section formed by rolling nanosheets into cylinders [3]. A diagram of one type of such nanotubules is shown in Fig. 1. A model of a cylindrically anisotropic rod is used to describe the mechanical behavior of such cylindrically twisted sheets within the framework of the mechanics of continuous media.Moscow State Textile University.

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“…Auxetics among 6-constant tetragonal crystals, considered below, are studied in the case of rectilinear anisotropy. Previously, similar studies have been performed for all (auxetics and non-auxetics) crystals of cubic and 7-constant tetragonal systems [1][2][3][4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Auxetics among 6-constant tetragonal crystals

Goldstein¹,

Городцов²,

Lisovenko³

et al. 2015

LoM

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Analytical and numerical features of the elastic properties of the stretched rectilinearly anisotropic 6-constant tetragonal crystals are considered. Analytical formulas for Young's modulus and Poisson's ratio are obtained. They are expressed in terms of the elastic compliance coefficients in Voight notation and the parameters of crystal orientation. Numerical calculations are performed using these formulas and data on the elastic constants from the Landolt-Börnstein Handbook. Possible types of Young's modulus and Poisson's ratio are analyzed. More than eighty tetragonal crystals were studied. About 60% of them are characterized by negative Poisson's ratio for certain particular orientations of the crystals. Such auxetics are listed in the Tables. Ten crystals can have Poisson's ratio greater than unity, and Poisson's ratio for six crystals is less than -0.5. The same six crystals are characterized by high variability of Young's modulus. Young's modulus for more than ten crystals exceeds 300 GPa.

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Mesomechanics of multiwall carbon nanotubes and nanowhiskers

Cited by 16 publications

References 62 publications

An Overview of Mechanical Properties of Diamond-like Phases under Tension

An Overview of Mechanical Properties of Diamond-like Phases under Tension

Values of poisson’s coefficient for cylindrically anisotropic materials for chemical fibres, nanotubules, and nanowhiskers

Auxetics among 6-constant tetragonal crystals

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