Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule

By Marino Arroyo, Ted Belytschko. 2004

424 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/9671e5963695a25a48ff8fa6592bf210d558f1fc

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Rui Huang
2. Qiang Lu
3. R. Rafiee
4. R. Moghadam
5. Jun Zhou
6. Shaoping Xiao
7. Ted Belytschko
8. J. Ericksen

In Materials Chemistry

1. Rui Huang
2. Qiang Lu
3. R. Rafiee
4. Ted Belytschko
5. R. Moghadam
6. M. Shokrieh
7. Jun Zhou
8. Shaoping Xiao

Citations in the corpus

• Probing the Young’s modulus and Poisson’s ratio in graphene/metal interfaces and graphite: a comparative study (2015, neutral): “[63] 336 First-principles total-energy calculations, combined to continuum elasticity, Ref.”
• Internal lattice relaxation of single-layer graphene under in-plane deformation (2008, methodology): “Arroyo and Belytschko (2004) also reported that using the second-generation Brenner potential (Brenner et al., 2002) leads to little improvement.”
• Prediction of Young's modulus of graphene sheets and carbon nanotubes using nanoscale continuum mechanics approach (2010, background): “There is not a consistent value for thickness of graphene sheet or CNT thickness in literature [23–29].”
• Finite element methods for the non‐linear mechanics of crystalline sheets and nanotubes (2004, background): “The last point is of particular importance, since it allows for (semi-)analytical treatments in some situations of interest, as described in References [23, 50].”
• On the Cauchy—Born Rule (2008, background): “Then, there are the different ideas proposed a bit later by Arroyo and Belytschko [44, 45] on films that I will describe, for the case of one involving a single layer of atoms.”
• NONLINEAR MECHANICS OF SINGLE-ATOMIC-LAYER GRAPHENE SHEETS (2009, methodology): “For the 2nd generation Brenner potential, the bending modulus was found to be 1.8 eV Å2/atom or equivalently, 0.11 nNnm [Arroyo and Belytschko, 2004a].”
• On the modeling of carbon nanotubes: A critical review (2014, methodology): “Arroyo and Belytschko [58] obtained closed-form equations for elastic properties of SWCNTs based on the exponential Cauchy–Born rule using finite deformation continuum theory.”
• A review on mechanics and mechanical properties of 2D materials—Graphene and beyond (2016, background): “Instead, they are independent properties resulting from multibody interactions among carbon atoms in a monolayer [29,44,46,54,55,58].”
• Elastic bending modulus of monolayer graphene (2009, methodology): “Following a similar approach as in [13], the bending modulus of monolayer graphene is derived as follows:”
• A bridging domain method for coupling continua with molecular dynamics (2004, methodology): “Using the analytical approach given in [ 29 ], Young’s modulus for the graphene sheet is 0.9 TPa and Poisson’s ratio is 0.29.”