Crack propagation in graphene

citation_title=Calling all chemists; citation_author=Ruoff R.; citation_journal_title=Nat. Nanotechnol.; citation_year=2008; citation_volume=3; citation_pages=10-11;

citation_title=The chemistry of graphene; citation_author=Loh K. P.; citation_author=Bao Q.; citation_author=Ang P. K.; citation_author=Yang J.; citation_journal_title=J. Mater. Chem.; citation_year=2010; citation_volume=20; citation_pages=2277-2289;

citation_title=Multiscale method for characterization of porous microstructures and their impact on macroscopic effective permeability; citation_author=Sun W. C.; citation_author=Andrade J. E.; citation_author=Rudnicki J. W.; citation_journal_title=Int. J. Numer. Methods Eng.; citation_year=2011; citation_volume=88; citation_pages=1260-1279;

citation_title=Covalent chemistry in graphene electronics; citation_author=Santanu S.; citation_author=Elena B.; citation_author=Haddon R. C.; citation_journal_title=Mater. Today; citation_year=2012; citation_volume=15; citation_issue=6; citation_pages=276-285;

citation_title=The electronic properties of graphene; citation_author=Neto A. H. C.; citation_author=Guinea F.; citation_author=Peres N. M. R.; citation_author=Novoselov K. S.; citation_author=Geim A. K.; citation_journal_title=Rev. Mod. Phys.; citation_year=2009; citation_volume=81; citation_pages=109-162;

citation_title=Electronic properties of a biased graphene bilayer; citation_author=Castro E. V.; citation_author=Novoselov K. S.; citation_author=Morozov S. V.; citation_author=Peres N. M. R.; citation_author=Lopes dos Santos J. M. B.; citation_author=Nilsson J.; citation_author=Guinea F.; citation_author=Geim A. K.; citation_author=Neto A. H. C.; citation_journal_title=J. Phys.: Condens. Matter; citation_year=2010; citation_volume=22; citation_pages=175503

citation_title=Graphene-based composite materials; citation_author=Stankovich S.; citation_author=Dikin D. A.; citation_author=Dommett G. H. B.; citation_author=Kohlhaas K. M.; citation_author=Zimney E. J.; citation_author=Stach E. A.; citation_author=Piner R. D.; citation_author=Nguyen S. T.; citation_author=Ruoff R. S.; citation_journal_title=Nature; citation_year=2006; citation_volume=442; citation_pages=282-286;

citation_title=Graphene-based polymer nanocomposites; citation_author=Potts J. R.; citation_author=Dreyer D. R.; citation_author=Bielawski C. W.; citation_author=Ruoff R. S.; citation_journal_title=Polymer; citation_year=2011; citation_volume=52; citation_pages=5-25;

citation_title=A graphene-based composite material noncovalently functionalized with a chemiluminescence reagent: Synthesis and intrinsic chemiluminescence activity; citation_author=Wen S.; citation_author=Yuqi Y.; citation_author=Jiangnan S.; citation_author=Hua C.; citation_journal_title=Chem. Commun.; citation_year=2012; citation_volume=48; citation_pages=2894-2896;

citation_title=Aero-elastic analysis of stiffened composite wing structure; citation_author=Pattabhi R. B.; citation_author=Rammohan B.; citation_author=Vijay K. S.; citation_author=Satish B. D.; citation_author=Raghunathan R.; citation_journal_title=J. Vibration Engineering & Technologies; citation_year=2009; citation_volume=8; citation_issue=3; citation_pages=255-264;

citation_title=Vibration analysis of multi-walled carbon nanotubes embedded in elastic medium; citation_author=Budarapu P. R.; citation_author=Sudhir S. Y. B.; citation_author=Brahmanandam J.; citation_author=Mahapatra D. R.; citation_journal_title=Front. Struct. Civil Eng.; citation_year=2014; citation_volume=8; citation_issue=2; citation_pages=151-159;

citation_title=Effects of the dispersion of polymer wrapped two neighbouring single walled carbon nanotubes (SWNTS) on nanoengineering load transfer; citation_author=Zhang Y.; citation_author=Zhao J.; citation_author=Wie N.; citation_author=Jiang J. W.; citation_author=Rabczuk T.; citation_journal_title=Composites, Part B; citation_year=2013; citation_volume=45; citation_issue=1; citation_pages=1714-1721;

citation_title=Ripping graphene: Preferred directions; citation_author=Kim K.; citation_author=Artyukhov V. I.; citation_author=Regan W.; citation_author=Liu Y.; citation_author=Crommie M. F.; citation_author=Yakobson B. I.; citation_author=Zettl A.; citation_journal_title=Nano Lett.; citation_year=2012; citation_volume=12; citation_pages=293-297;

citation_title=Size and chirality dependent elastic properties of graphene nanoribbons under uniaxial tension; citation_author=Zhao H.; citation_author=Min K.; citation_author=Aluru N. R.; citation_journal_title=Nano Lett.; citation_year=2009; citation_volume=9; citation_issue=8; citation_pages=3012-3015;

citation_title=Measurement of the elastic properties and intrinsic strength of monolayer graphene; citation_author=Changgu L.; citation_author=Xiaoding W.; citation_author=Kysar Jeffrey W.; citation_author=James H.; citation_journal_title=Science; citation_year=2008; citation_volume=321; citation_issue=5887; citation_pages=385-388;

citation_title=Ab initio calculation of ideal strength and phonon instability of graphene under tension; citation_author=Liu F.; citation_author=Pingbing M.; citation_author=Ju L.; citation_journal_title=Phys. Rev. B; citation_year=2007; citation_volume=76; citation_pages=064120

citation_title=Mechanical properties of three types of carbon allotropes; citation_author=Zhao J.; citation_author=Fan Z.; citation_author=Jiang J. W.; citation_author=Rabczuk T.; citation_journal_title=Nanotechnology; citation_year=2013; citation_volume=24; citation_pages=095702

citation_title=Mechanical properties of defective single-layered graphene sheets via molecular dynamics simulation; citation_author=Ansari R.; citation_author=Ajori S.; citation_author=Motevalli B.; citation_journal_title=Superlattices Microstruct.; citation_year=2012; citation_volume=51; citation_pages=274-289;

citation_title=Effect of defects on fracture strength of graphene sheets; citation_author=Wang M.; citation_author=Yan C.; citation_author=Ma L.; citation_author=Hu N.; citation_author=Chen M.; citation_journal_title=Comput. Mater. Sci.; citation_year=2012; citation_volume=54; citation_pages=236-239;

citation_title=Coupled quantum mechanical/molecular mechanical modeling of the fracture of defective carbon nanotubes and graphene sheets; citation_author=Khare R.; citation_author=Mielke S. L.; citation_author=Paci J. T.; citation_author=Zhang S.; citation_author=Ballarini R.; citation_author=Schatz G. C.; citation_author=Belytschko T.; citation_journal_title=Phys. Rev. B; citation_year=2007; citation_volume=75; citation_pages=075412

citation_title=Crack front propagation and fracture in a graphite sheet: A molecular-dynamics study on parallel computers; citation_author=Omeltchenko A.; citation_author=Yu J.; citation_author=Kalia R. K.; citation_author=Vashishta P.; citation_journal_title=Phys. Rev. Lett.; citation_year=1997; citation_volume=78; citation_issue=11; citation_pages=2148-2151;

citation_title=Empirical potential for hydrocarbons for use in simulating the chemical vapor deposition of diamond films; citation_author=Brenner D. W.; citation_journal_title=Phys. Rev. B; citation_year=1990; citation_volume=42; citation_pages=9458

citation_title=Atomistic simulation and continuum modeling of graphene nanoribbons under uniaxial tension; citation_author=Lu Q.; citation_author=Gao W.; citation_author=Huang R.; citation_journal_title=Modell. Simul. Mater. Sci. Eng.; citation_year=2011; citation_volume=19; citation_pages=54006

citation_title=Nanoscale fracture in graphene; citation_author=Terdalkar S. S.; citation_author=Huang S.; citation_author=Yuan H.; citation_author=Rencis J. J.; citation_author=Zhu T.; citation_author=Zhang S.; citation_journal_title=Chem. Phys. Lett.; citation_year=2010; citation_volume=494; citation_pages=218-222;

citation_title=Single-edge crack growth in graphene sheets under tension; citation_author=Le M.-Q.; citation_author=Batra R. C.; citation_journal_title=Comput. Mater. Sci.; citation_year=2013; citation_volume=69; citation_pages=381-388;

citation_title=Crack propagation in pre-strained single layer graphene sheets; citation_author=Le M.-Q.; citation_author=Batra R. C.; citation_journal_title=Comput. Mater. Sci.; citation_year=2014; citation_volume=84; citation_pages=238-243;

citation_title=The effects of temperature and vacancies on dynamics of crack in graphene sheet; citation_author=Lohrasebi A.; citation_author=Amini M.; citation_author=Neek-Amal M.; citation_journal_title=AIP Adv.; citation_year=2014; citation_volume=4; citation_issue=5; citation_pages=057113

citation_title=Atomistic and continuum modelling of temperature-dependent fracture of graphene; citation_author=Dewapriya M. A. N.; citation_author=Rajapakse R. K. N. D.; citation_author=Phani A. S.; citation_journal_title=Int. J. Fracture; citation_year=2014; citation_volume=187; citation_pages=199-212;

citation_title=Molecular dynamics simulations and continuum modeling of temperature and strain rate dependent fracture strength of graphene with vacancy defects; citation_author=Dewapriya M. A. N.; citation_author=Rajapakse R. K. N. D.; citation_journal_title=J. Appl. Mech.; citation_year=2014; citation_volume=81; citation_issue=8; citation_pages=081010

citation_title=Selecting a suitable time step for discrete element simulations that use the central difference time integration scheme; citation_author=O'Sullivan C.; citation_author=Bray J. D.; citation_journal_title=Eng. Comput.; citation_year=2004; citation_volume=21; citation_pages=278-303;

citation_title=Impact of the timestep in some molecular dynamics simulations on compression of granular systems; citation_author=Tejada I. G.; citation_author=Jimenez R.; citation_journal_title=Eur. Phys. J. E; citation_year=2014; citation_volume=37; citation_pages=15

citation_title=A dynamic XFEM formulation for crack identification; citation_author=Chao Z.; citation_author=Cuixia W.; citation_author=Tom L.; citation_author=Pengfei H.; citation_author=Timon R.; citation_journal_title=Int. J. Mech. Mater. Des.;

citation_title=An atomistic methodology of energy release rate for graphene at nanoscale; citation_author=Zhang Z.; citation_author=Wang X.; citation_author=Lee J. D.; citation_journal_title=J. Appl. Phys.; citation_year=2014; citation_volume=115; citation_issue=11; citation_pages=114314

citation_title=Modeling solid-state chemistry: Interatomic potentials for multicomponent systems; citation_author=Tersoff J.; citation_journal_title=Phys. Rev. B; citation_year=1989; citation_volume=39; citation_issue=8; citation_pages=5566-5568;

citation_title=On the strength of graphene; citation_author=Volokh K. Y.; citation_journal_title=J. Appl. Mech.; citation_year=2012; citation_volume=79; citation_issue=6; citation_pages=064501

citation_title=Temperature and strain-rate dependent fracture strength of graphene; citation_author=Zhao H.; citation_author=Aluru N. R.; citation_journal_title=J. Appl. Phys.; citation_year=2010; citation_volume=108; citation_pages=064321

citation_title=Atomic scale origin of crack resistance in brittle fracture; citation_author=Mattoni A.; citation_author=Colombo L.; citation_author=Cleri F.; citation_journal_title=Phys. Rev. Lett.; citation_year=2005; citation_volume=95; citation_pages=115501

citation_title=Continuum interpretation of virial stress in molecular simulations; citation_author=Subramaniyan A. K.; citation_author=Sun C. T.; citation_journal_title=Int. J. Solids Struct.; citation_year=2008; citation_volume=45; citation_pages=4340-4346;

citation_title=A computer simulation method for the calculation of equilibrium constants for the formation of physical clusters of molecules: Application to small water clusters; citation_author=Swope William C.; citation_author=Anderson Hans C.; citation_author=Berens Peter H.; citation_author=Wilson Kent R.; citation_journal_title=J. Chem. Phys.; citation_year=1982; citation_volume=76; citation_pages=637

citation_title=Theory of double-resonant Raman spectra in graphene: Intensity and line shape of defect-induced and two-phonon bands; citation_author=Park H. S.; citation_author=Karpov E. G.; citation_author=Liu W. K.; citation_author=Klein P. A.; citation_journal_title=Phys. Rev. B; citation_year=2011; citation_volume=84; citation_pages=035433

citation_title=Mechanical properties of monolayer graphene under tensile and compressive loading; citation_author=Yuanwen G.; citation_author=Peng H.; citation_journal_title=Physica E; citation_year=2009; citation_volume=41; citation_pages=1561-1566;

citation_title=Temperature and strain-rate dependent fracture strength of graphynes; citation_author=Ying-Yan Z.; citation_author=Qing-Xiang P.; citation_author=Yiu-Wing M.; citation_author=Yuan-Tong G.; citation_journal_title=J. Phys. D: Appl. Phys.; citation_year=2014; citation_volume=47; citation_issue=42; citation_pages=425301

citation_title=Dislocation nucleation and defect structure during surface indentation; citation_author=Cynthia L. K.; citation_author=Plimpton S. J.; citation_author=Hamilton J. C.; citation_journal_title=Phys. Rev. B; citation_year=1998; citation_volume=58; citation_pages=11085

citation_title=Efficient coarse graining in multiscale modeling of fracture; citation_author=Budarapu P. R.; citation_author=Gracie R.; citation_author=Yang S.-W.; citation_author=Zhuang X.; citation_author=Rabczuk T.; citation_journal_title=Theor. Appl. Fract. Mech.; citation_year=2014; citation_volume=69; citation_pages=126-143;

citation_title=A meshless adaptive multiscale method for fracture; citation_author=Yang S. W.; citation_author=Budarapu P. R.; citation_author=Mahapatra D. R.; citation_author=Bordas S. P. A.; citation_author=Zi G.; citation_author=Rabczuk T.; citation_journal_title=Comput. Mater. Sci.; citation_year=2015; citation_volume=96B; citation_pages=382-395;

citation_title=An adaptive multiscale method for quasi-static crack growth; citation_author=Budarapu P. R.; citation_author=Gracie R.; citation_author=Stéphane B.; citation_author=Rabczuk T.; citation_journal_title=Comput. Mech.; citation_year=2014; citation_volume=53; citation_issue=6; citation_pages=1129-1148;

citation_title=Thermal expansion of free-standing graphene: Benchmarking semi-empirical potentials; citation_author=Magnin Y.; citation_author=Förster G. D.; citation_author=Rabilloud F.; citation_author=Calvo F.; citation_author=Zappelli A.; citation_author=Bichara C.; citation_journal_title=J. Phys.: Condens. Matter; citation_year=2014; citation_volume=26; citation_pages=185401

citation_title=Flaw insensitive fracture in nanocrystalline graphene; citation_author=Teng Z.; citation_author=Xiaoyan L.; citation_author=Sara K.; citation_author=Huajian G.; citation_journal_title=Nano Lett.; citation_year=2012; citation_volume=12; citation_pages=4605-4610;

citation_title=Fracture toughness of graphene; citation_author=Peng Z.; citation_author=Lulu M.; citation_author=Feifei F.; citation_author=Zhi Z.; citation_author=Cheng P.; citation_author=Phillip L. E.; citation_author=Zheng L.; citation_author=Yongji G.; citation_author=Jiangnan Z.; citation_author=Xingxiang Z.; citation_author=Ajayan Pulickel M.; citation_author=Ting Z.; citation_author=Jun L.; citation_journal_title=Nat. Commun.; citation_year=2014; citation_volume=5; citation_pages=3782

citation_title=Instability of supersonic crack in graphene; citation_author=Zhang B.; citation_author=Gang Y.; citation_author=Heming X.; citation_journal_title=Physica B; citation_year=2014; citation_volume=434; citation_pages=145-148;