Fracture analysis of single layer Graphene sheets
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kynm@hcmute.edu.vnKeywords:
Fracture of graphene , Fracture mechanics, Fracture toughness, Stress inten- sity factorAbstract
The formula is derived analytically from the deformation and bending mechanism of sol- id-state carbon-carbon bonds to describe the mode I fracture of single layer graphene sheet (SLGS). Fracture of a single layer graphene is governed by the competition between bond breaking and bond rotation at a crack tip. It is demonstrated that in tension the cell walls bend and elongate, leading to the development of tensile stresses on some portions of the outer sur- faces of the cell walls. As a result it was found that fracture of graphene sheets can create frac- ture edges at the middle of bond and bond deformation and rupture are induced by the localized high stress near the crack tip.
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References
F Scarpa, S Adhikari, A JGil and C Remillat. The bending of single layer graphene sheets: the lattice versus continuum approach. Nanotechnology, 21, 125702 (9pp), 2010.
E Duplock, M Scheffler and P Lindan. Hallmark of Perfect Graphene. Physical Review Letters, 92(22), pp.225502-225505, 2004
K S Novoselov, A K Geim, S V Morozov, D Jiang, M I Katsnelson, I V Grigorieva, S V Dubonos and A A Firsov. Two-Dimensional Gas of Massless Dirac Fermions in Gra- phene. Nature, 438(7065), 197-200, 2005.
J Huang and L Gibson. Fracture Toughness of Brittle Honeycombs. Acta Metallurgica et Materialia, 39, pp 1627-1636, 1991.
L Gibson and M Ashby. Cellular Solids: Structure and Properties. Cambridge University Press, 2nd ed, 1999.
R Ansari, B Motevalli, A Montazeri and S Ajori. Fracture analysis of monolayer graphene sheets with double vacancy defects via MD simulation. Solid State Communications, 15, 2011.
Y Yanovsky, E Nikitina, Y Karnet and S Nikitin. Simulation of deformation and fracture of graphene: effect of size, defects and surface modification. Physical Mesomechanics, 13, 2010.
Qiang Lu and Rui Huang. Nolinear mechanical Properties of graphene nanoribbons. Ma- terials Research Society, 12, 2011.
Mohammad Rafiee, Javad Rafiee, Iti Srivastava, Zhou Wang, Huaihe Song, Zhong-Zhen Yu, and Nikhil Koratkar. Fracture and Fatigue in Graphene Nanocomposites. Nanomicro Small, 6(2) 179-183, 2010.
Y Jin and F Yuan. Nanoscopic Modeling of Fracture of 2D Graphene Systems. Nanosci- ence and Nanotechnology, 10, 2005.
Rhonda Jack, Dipanjan Sen, and Markus J. Buehler. Graphene Nanocutting Through Nanopatterned Vacancy Defects. Computational and Theoretical Nanoscience, 7(2) 354- 359, 2010.
S Choi, B Sankar. Fracture Toughness of Carbon Foam. Composite Mater, 37:2101–16, 2003.
S Choi, B Sankar. A micromechanical method to predict the fracture toughness of cellular materials. Solids Structure, 42:1797–817, 2005.
S Terdalkar, Shan Huang, Hongyan Yuan, J Joseph. Rencis, Ting Zhu, Sulin Zhang. Na- noscale fracture in graphene. Chemical Physics Letters, 494, 218-222, 2010.
X Zhou, J Zhou and Z Ou-Yang. Strain energy and Young’s modulus of single-wall car- bon nanotubes calculated from electronic energy-band theory. Physical Review B, 62, 13692–6, 2000.
Z Tu and Ou-Yang. Single-walled and multiwalled carbon nanotubes viewed as elastic tubes with the effective Young’s moduli dependent on layer number. Physical Review B, 65, 233407, 2002.
A Pantano, D Parks and M Boyce. Mechanics of Deformation of Single- and Multi-Wall Carbon Nanotubes. Mech. Physical Solids, 52, 789-821, 2004.
N Kudin, E Scuseria and I Yakobson. C2F, BN, and C nanoshell elasticity from ab initio computations. Physical Review B, 65, 235406, 2001.
S Goupalov. Continuum model for long-wavelength phonons in two-dimensional graph- ite and carbon nanotubes. Physical Review B, 71, 085420, 2005.
C Reddy, S Rajendran and K Liew. Equilibrium configuration and continuum elastic properties of finite sized graphene. Nanotechnology, 17, 864-870, 2006.
F Scarpa, S Adhikari and A Phani. Effective elastic mechanical properties of single layer graphene sheets. Nanotechnology, 20, 065709, 2009.
ANSYS user’smanual, 2012.
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