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- W1505340013 abstract "Graphene sheet is a one-atom-thick planar sheet of sp2-bonded carbon atoms that are densely packed in a hexagonal crystal lattice. Graphene is the basic structural element of some carbon allotropes including graphite, carbon nanotubes and fullerenes. Carbon nanotubes (CNTs) (Iijima, 1991) exhibit exceptional physical properties: small size, low density, high stiffness, high strength and excellent electronic and thermal properties (Dresselhaus et al., 1996; Wong et al., 1997; Che et al., 2000; Yakobson and Avouris, 2001; Thostenson et al., 2001). These exceptional mechanical and physical properties along with low weight of CNTs and recent improvements in their synthesis and purification techniques make CNTs excellent candidates for use in tailoring properties of composites (Wagner et al., 1998; Cadek et al., 2002; Dalton et al., 2003). Molecular mechanics/dynamics and ab initio methods are suitable for studying the mechanical properties and fracture behaviors of grapheme sheet and nanotubes but are limited in scale and are computationally expensive. Recently, continuum mechanics based models for CNTs have been developed using the harmonic energy potential (Li and Chou, 2003; Chang and Gao, 2003). These models reduce computational cost significantly, but can only be used to investigate elastic properties, such as the Young’s modulus or Poisson’s ratio. To fully predict the stress-strain relationship and failure mechanism of CNTs, these methods are not sufficient. The Brenner potential function (Brenner, 1990) is considered more accurate and versatile. It can handle changes in atom hybridization and bonds with atoms other than carbon. A continuum mechanics approach directly incorporating the Brenner potential function has been developed by Huang’s group (Zhang et al., 2002; Jiang et al., 2003) to model elastic properties and stress-strain relationships of carbon nanotubes based on a modified Cauchy-Born rule. Based on the modified Morse potential function (Belytschko et al., 2001), which is simpler than the Brenner potential, the authors have developed models for perfect and defective CNTs (Xiao et al., 2005; Xiao et al., 2009). The developments have the ability to predict the ultimate stress and other mechanical properties, including nanotube’s nonlinear stress-strain relationship. The analytical model (Xiao et al., 2005) has been extended to solve mechanical responses of defect-free singleand" @default.
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- W1505340013 date "2011-03-22" @default.
- W1505340013 modified "2023-10-04" @default.
- W1505340013 title "Fracture Behaviors of Graphene Sheets and Carbon Nanotubes" @default.
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- W1505340013 doi "https://doi.org/10.5772/14948" @default.
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