Estimation of mechanical properties of single wall carbon nanotubes using molecular mechanics approach

Rao, P Subba; Anandatheertha, Sunil; Naik, G. Narayana; Gopalakrishnan, S.

doi:10.1007/s12046-015-0367-5

Cited by 11 publications

(9 citation statements)

References 22 publications

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“…This section is concerned to assess and predict the post-critical buckling loads (PCL) of a truncated conical carbon nanotube (CCNT). First, in order to analyze the CCNT, the following material properties are utilized as [63][64][65][66][67][68][69][70][71][72] It is important to note that the above-mentioned quantities are averaged values and are related to an armchair carbon nanotube in a continuum schema [73][74][75][76][77][78]. As the armchair is a symmetrical nanotube, it is presumed as an isotropic beam.…”

Section: Post-buckling Of Truncated Conical Swcntsmentioning

confidence: 99%

Post-critical buckling of truncated conical carbon nanotubes considering surface effects embedding in a nonlinear Winkler substrate using the Rayleigh-Ritz method

Malikan

Eremeyev

2020

Mater. Res. Express

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This research predicts theoretically post-critical axial buckling behavior of truncated conical carbon nanotubes (CCNTs) with several boundary conditions by assuming a nonlinear Winkler matrix. The post-buckling of CCNTs has been studied based on the Euler-Bernoulli beam model, Hamilton's principle, Lagrangian strains, and nonlocal strain gradient theory. Both stiffness-hardening and stiffness-softening properties of the nanostructure are considered by exerting the second stressgradient and second strain-gradient in the stress and strain fields. Besides small-scale influences, the surface effect is also taken into consideration. The effect of the Winkler foundation is nonlinearly taken into account based on the Taylor expansion. A new admissible function is used in the Rayleigh-Ritz solution technique applicable for buckling and post-buckling of nanotubes and nanobeams. Numerical results and related discussions are compared and reported with those obtained by the literature. The significant results proved that the surface effect and the nonlinear term of the substrate affect the CCNT considerably.

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Section: Post-buckling Of Truncated Conical Swcntsmentioning

confidence: 99%

Post-critical buckling of truncated conical carbon nanotubes considering surface effects embedding in a nonlinear Winkler substrate using the Rayleigh-Ritz method

Malikan

Eremeyev

2020

Mater. Res. Express

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“…Liu et al [28] analyzed atomic bond breakage using a meshless atomic-scale method. With regard to the literature, many works were devoted to modeling of carbon nanotubes, which can be found in the literature [9,16,21,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45]. One of them [33] can be here mentioned, where authors dealt with the mechanical properties of single-walled carbon nanotubes (SWCNTs) modeled as Euler beams.…”

Section: Introductionmentioning

confidence: 99%

A New Approach of Mathematical Analysis of Structure of Graphene as a Potential Material for Composites

et al. 2019

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The new analysis of a simplified plane model of single-layered graphene is presented in this work as a potential material for reinforcement in ultralight and durable composites. However, owing to the clear literature discrepancies regarding the mechanical properties of graphene, it is extremely difficult to conduct any numerical analysis to design parts of machines and devices made of composites. Therefore, it is necessary to first systemize the analytical and finite element method (FEM) calculations, which will synergize mathematical models, used in the analysis of mechanical properties of graphene sheets, with the very nature of the chemical bond. For this reason, the considered model is a hexagonal mesh simulating the bonds between carbon atoms in graphene. The determination of mechanical properties of graphene was solved using the superposition method and finite element method. The calculation of the graphene tension was performed for two main directions of the graphene arrangement: armchair and zigzag. The computed results were verified and referred to articles and papers in the accessible literature. It was stated that in unloaded flake of graphene, the equilibrium of forces exists; however, owing to changes of inter-atom distance, the inner forces occur, which are responsible for the appearance of strains.

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“…Depending on the topology, structure and dimensions, CNTs possess either metallic or semiconductive characteristics [10]. In the field of nanoelectronics, metallic CNTs have been proposed as a potential replacement to copper material for on-chip interconnections in integrated circuit due to its stupendous properties as insensitivity to electro-migration [11], ballistic carrier conduction [12], long electron mean free path [13], high mechanical and thermal stability [14] and high thermal conductivity [15].…”

Section: Introductionmentioning

confidence: 99%

An efficient and novel FDTD method based performance investigation in high-speed current-mode signaling SWCNT bundle interconnect

Agrawal

Girish²,

Chandel

2018

Sādhanā

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Carbon nanotube (CNT) has emerged as the most extensively researched area in nanoscience and amongst the frontrunners in co-triggering the nanotechnology revolution. Single-wall CNT (SWCNT) bundle is a part of CNT family and has been proposed as the future nano-wires in integrated circuits. The present paper analyzes the performance of SWCNT bundle interconnect with high-speed current-mode signaling (CMS) scheme using efficient finite-difference time-domain (FDTD) method. For the first time, FDTD based method is explored for modeling CMS SWCNT bundle interconnect incorporating practical CMOS driver gate. The CMOS gate is characterized by n th power-law model. The stability of FDTD method is ascertained by Courant condition. The proposed FDTD based method is efficient and can be used for performance analyses of future nano-wire SWCNT bundle as well as conventional copper interconnects. At the same time, this method is applicable for both traditional full-voltage swing voltage-mode signaling (VMS) and remarkable low-voltage swing CMS schemes. The various analyses in the paper reveal that CMS SWCNT bundle interconnect has higher edge over CMS copper interconnect in terms of smaller delay, lesser crosstalk induced delay and noise. The proposed analytical FDTD based method is validated using Tanner-SPICE EDA simulation tool. The maximum error between the FDTD and SPICE for the transient response in CMS SWCNT bundle interconnect for 32 nm technology node is within 3%. Keywords. Current-mode signaling (CMS); finite-difference time-domain (FDTD); nanotechnology; on-chip interconnect; single-wall carbon nanotube (SWCNT) bundle.

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Estimation of mechanical properties of single wall carbon nanotubes using molecular mechanics approach

Cited by 11 publications

References 22 publications

Post-critical buckling of truncated conical carbon nanotubes considering surface effects embedding in a nonlinear Winkler substrate using the Rayleigh-Ritz method

Post-critical buckling of truncated conical carbon nanotubes considering surface effects embedding in a nonlinear Winkler substrate using the Rayleigh-Ritz method

A New Approach of Mathematical Analysis of Structure of Graphene as a Potential Material for Composites

An efficient and novel FDTD method based performance investigation in high-speed current-mode signaling SWCNT bundle interconnect

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