A two-section beam element to model the B-N covalent bonds in boron nitride nanotubes

Zakaria, Afshin Zamani

doi:10.1016/j.materresbull.2021.111533

Cited by 2 publications

(9 citation statements)

References 31 publications

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“…The first fundamental frequency decreases with the nanotube aspect ratio and the decreasing rate is higher when the clamped-clamped boundary conditions is applied. Regarding the f n1 value of BNNTs, the results reported by Li and Chou [34] and Panchal et al [67] for clamped-free support, and by Zakaria [68] for simply supported NTs are in a particularly good agreement for all range of the aspect ratio, L n /D n , considered (see Figure 8a). The values of f n1 obtained by Giannopoulos et al [69] under clamped-free boundary conditions are about 30% higher when compared with f n1 calculated in the abovementioned studies [34,67,68] for L n /D n ≥ 10.…”

Section: Vibtational Properties Of N-cntssupporting

confidence: 61%

“…The E evolutions as a function of L n /D n reported by Sakharova et al [36] for (10,10) and (18, 0) BNNTs are in satisfactory agreement with those obtained by Choyal et al [31] for (10,10) and (17, 0) BNNTs and by Salvati et al [65] for (20, 0) BNNT, in case of nanotube aspect ratios L n /D n > 8. Zakaria [68] and Giannopoulos et al [69], in their numerical simulation studies within NCM/MSM approach, obtained for (8,8) and (21, 0) BNNTs Young's modulus values similar in all range of the nanotube aspect ratio (see, Figure 4), with differences of less than about 8% in the E values. Note that, despite using dissimilar methods to model the B-N covalent bond, Giannopoulos et al [69] used spring elements and Zakaria [68] represented the interatomic bond as two-section beam, in both works the elastic properties of the elements to be used as input for the numerical simulation were computed based on the same values of the constants k r , k θ and k τ .…”

Section: Young's and Shear Modulimentioning

confidence: 88%

“…Such difference is probably related to the approaches used for computation of the force-field constants. The maximum value of [31,36,65,68,69].…”

Section: Young's and Shear Modulimentioning

confidence: 99%

“…The studies reported so far on the dynamic properties of N-CNTs mainly addressed the theoretical analysis of the vibrational behaviour of BNNTs [34,48,57,63,[67][68][69][70][71]98,99] and SiCNTs [100,101].…”

Section: Vibtational Properties Of N-cntsmentioning

confidence: 99%

“…With regard to boron nitride NTs, which have received the most research attention up to now, Li and Chou [34], Salavati et al [65], Ansari et al [66], Sakharova et al [36] and Panchal et al [67] used the beam element to replace the B-N bond within the framework of the NCM/MSM approach, to study the elastic and dynamic properties, elastic moduli and Poisson's ratio, electromechanical properties, size-dependent elastic properties and vibrational properties of BNNTs, respectively. In a recent study, Zakaria [68] modelled bonds between B and N atoms by two-sectioned beam elements to evaluate the elastic and vibrational properties of the BNNTs. Giannopoulos et al [69], instead of the beam elements, used spring-like elements in the modelling of the B-N bond to investigate vibrational behaviour of BNNTs.…”

Section: Introductionmentioning

confidence: 99%

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Overview on the Evaluation of the Elastic Properties of Non-Carbon Nanotubes by Theoretical Approaches

2022

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Low-dimensional structures, such as nanotubes, have been the focus of research interest for approximately three decades due to their potential for use in numerous applications in engineering and technology. In addition to extensive investigation of carbon nanotubes, those composed of elements other than carbon, the so-called non-carbon nanotubes, have also begun to be studied, since they can be more suitable for electronic and optical nano-devices than their carbon counterparts. As in the case of carbon nanotubes, theoretical (numerical and analytical) approaches have been established predominantly to study non-carbon nanotubes. So far, most of work has dealt with the investigation of the structural and electrical properties of non-carbon nanotubes, paying less attention to the evaluation of their mechanical properties. As the understanding of the mechanical behaviour of the constituents is fundamental to ensure the effective performance of nanotube-based devices, this overview aims to analyse and systematize the literature results on the elastic properties of inorganic non-carbon nanotubes.

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Section: Vibtational Properties Of N-cntssupporting

confidence: 61%

Section: Young's and Shear Modulimentioning

confidence: 88%

“…Such difference is probably related to the approaches used for computation of the force-field constants. The maximum value of [31,36,65,68,69].…”

Section: Young's and Shear Modulimentioning

confidence: 99%

Section: Vibtational Properties Of N-cntsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Overview on the Evaluation of the Elastic Properties of Non-Carbon Nanotubes by Theoretical Approaches

2022

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Numerical Simulation of the Mechanical Behaviour of Boron Nitride Nanosheets and Nanotubes

A. Sakharova,

M. Antunes,

F.G. Pereira

et al. 2024

Boron, Boron Compounds and Boron-Based Materials and Structures

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Among the compounds formed by an element of the 13th group and nitrogen, boron nitride, also called white graphene, stands out for its high strength and thermal conductivity, transparency to visible light, antimicrobial properties, high resistance to oxidation, and biocompatibility. One-dimensional and two-dimensional boron nitride nanostructures, i.e. nanotubes and nanosheets, respectively, are expected to present innovative advanced characteristics not equal to those of bulk boron nitride, bringing new perspectives to numerous applications in nanoscale electronics and biomedicine. For the correct design of systems and devices consisting of boron nitride nanosheets and nanotubes, understanding the mechanical behaviour of these nanostructures is extremely important. Firstly, because the robustness and functioning of nanosystems and nanodevices based on boron nitride nanostructures are determined by the mechanical behaviour of their constituents and also because deformation can influence the optical, electric, and thermoelectric properties of boron nitride nanotubes and nanosheets. In this context, the current chapter is dedicated to the numerical evaluation of the elastic properties of boron nitride nanosheets and nanotubes, using the nanoscale continuum modelling (also called molecular structural mechanics) approach. With this aim, a three-dimensional finite element model was used to evaluate their elastic moduli.

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A two-section beam element to model the B-N covalent bonds in boron nitride nanotubes

Cited by 2 publications

References 31 publications

Overview on the Evaluation of the Elastic Properties of Non-Carbon Nanotubes by Theoretical Approaches

Overview on the Evaluation of the Elastic Properties of Non-Carbon Nanotubes by Theoretical Approaches

Numerical Simulation of the Mechanical Behaviour of Boron Nitride Nanosheets and Nanotubes

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