Mechanical properties of hypothetical graphene foams: Giant Schwarzites

Carbon

Volumn 96, Issue , 2016, Pages 1191-1199

  Miller, David C ^a   Terrones, Mauricio ^b,c   Terrones, Humberto ^a  

^a Rensselaer Polytechnic Institute   (United States)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

^c SHINSHU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; CELLS; CYTOLOGY; DENSITY FUNCTIONAL THEORY; ELASTIC MODULI; ELECTRONIC PROPERTIES; GRAPHENE; MECHANICAL PROPERTIES; POISSON RATIO;

ELASTIC INSTABILITIES; EMPIRICAL METHOD; FIRST PRINCIPLES; GRAPHENE FOAMS; GRAPHENE LIKES; GRAPHENE SHEETS; METALLIC BEHAVIORS; ORDERED POROUS;

BIOMECHANICS;

EID: 84947996076     PISSN: 00086223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.carbon.2015.10.040     Document Type: Article

References (26)

1. A.L. Mackay, and H. Terrones Diamond from graphite Nature 352 6338 1991 10.1038/352762a0 762-762
2. H. Terrones, and A. Mackay The geometry of hypothetical curved graphite structures Carbon 30 8 1992 1251 1260 10.1016/0008-6223(92)90066-6
3. H. Terrones, and M. Terrones Curved nanostructured materials New J. Phys. 5 2003 10.1088/1367-2630/5/1/126
4. M.Z. Huang, W. Ching, and T. Lenosky Electronic properties of negative-curvature periodic graphitic carbon surfaces Phys. Rev. B 47 3 1993 1593 1606 10.1103/physrevb.47.1593
5. Y. Wu, N. Yi, L. Huang, T. Zhang, S. Fang, H. Chang, and et al. Three-dimensionally bonded spongy graphene material with super compressive elasticity and near-zero poisson's ratio Nat. Commun. 6 2015 6141 10.1038/ncomms7141
6. H. Schwarz Gesammelte Mathematische Abhandlungen vol. 1 1890 Verlag J. Springer Berlin
7. A.H. Schoen Infinite Periodic Minimal Surfaces without Self-intersections 1970 Tech. Rep.; NASA Technical Note D-5541
8. R. Lv, E. Cruz-Silva, and M. Terrones Building complex hybrid carbon architectures by covalent interconnections: graphene-nanotube hybrids and more ACS Nano 8 5 2014 4061 4069 10.1021/nn502426c URL
9. K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, M.I. Katsnelson, I.V. Grigorieva, and et al. Two-dimensional gas of massless dirac fermions in graphene Nature 438 7065 2005 197 200 10.1038/nature04233
10. M. Terrones, A.R. Botello-Méndez, J. Campos-Delgado, F. López-Urías, Y.I. Vega-Cantú, F.J. Rodríguez-Macías, and et al. Graphene and graphite nanoribbons: morphology, properties, synthesis, defects and applications Nano Today 5 4 2010 351 372 10.1016/j.nantod.2010.06.010
11. A.H.C. Neto, F. Guinea, N.M.R. Peres, K.S. Novoselov, and A.K. Geim The electronic properties of graphene Rev. Mod. Phys. 81 1 2009 109 162 10.1103/revmodphys.81.109
12. A. Lherbier, H. Terrones, and J.C. Charlier Three-dimensional massless Dirac fermions in carbon schwarzites Phys. Rev. B 90 12 2014 10.1103/physrevb.90.125434
13. K.A. Brakke The surface evolver Exp. Math. 1 2 1992 141 165 10.1080/10586458.1992.10504253
14. D.W. Brenner, O.A. Shenderova, J.A. Harrison, S.J. Stuart, B. Ni, and S.B. Sinnott A second-generation reactive empirical bond order (REBO) potential energy expression for hydrocarbons J. Phys. Condens. Matter 14 4 2002 783 802 10.1088/0953-8984/14/4/312
15. J.D. Gale, and A.L. Rohl The general utility lattice program (GULP) Mol. Simul. 29 5 2003 291 341 10.1080/0892702031000104887
16. S.J. Clark, M.D. Segall, C.J. Pickard, P.J. Hasnip, M.I.J. Probert, K. Refson, and et al. First principles methods using CASTEP Z. Kristallogr. 220 5/6/2005 567 570 10.1524/zkri.220.5.567.65075
17. D.M. Ceperley, and B.J. Alder Ground state of the electron gas by a stochastic method Phys. Rev. Lett. 45 7 1980 566 569 10.1103/physrevlett.45.566
18. J.P. Perdew, and A. Zunger Self-interaction correction to density-functional approximations for many-electron systems Phys. Rev. B 23 10 1981 5048 5079 10.1103/physrevb.23.5048
19. F. Valencia, A.H. Romero, E. Hernández, M. Terrones, and H. Terrones Theoretical characterization of several models of nanoporous carbon New J. Phys. 5 2003 10.1088/1367-2630/5/1/123 123-123
20. M. Born On the stability of crystal lattices. I Math. Proc. Camb. Philos. Soc. 36 1940 160 172 10.1017/S0305004100017138
21. F. Mouhat, and F.X. Coudert Necessary and sufficient elastic stability conditions in various crystal systems Phys. Rev. B 90 22 2014 10.1103/physrevb.90.224104
22. J.M.J. den Toonder, J.A.W. van Dommelen, and F.P.T. Baaijens The relation between single crystal elasticity and the effective elastic behaviour of polycrystalline materials: theory, measurement and computation Model. Simul. Mater. Sci. Eng. 7 6 1999 909 928 10.1088/0965-0393/7/6/301
23. J.M. Carlsson, and M. Scheffler Structural, electronic, and chemical properties of nanoporous carbon Phys. Rev. Lett. 96 2006 046806 10.1103/PhysRevLett.96.046806
24. J.N. Grima, S. Winczewski, L. Mizzi, M.C. Grech, R.R. Gatt, D. Attard, and et al. Tailoring graphene to achieve negative poisson's ratio properties Adv. Mater. 27 2015 1455 1459 10.1002/adma.201404106
25. R. Dettori, E. Cadelano, and L. Colombo Elastic fields and moduli in defected graphene J. Phys. Condens. Matter 24 10 2012 104020 10.1088/0953-8984/24/10/104020
26. A.A. Zakhidov Carbon structures with three-dimensional periodicity at optical wavelengths Science 282 5390 1998 897 901 10.1126/science.282.5390.897