메뉴 건너뛰기




Volumn 26, Issue 1, 2014, Pages 95-113

Homogenization of a graphene sheet

Author keywords

Effective properties; Graphene; Homogenization

Indexed keywords

CAUCHY-BORN RULE; CONTINUUM MODELING; EFFECTIVE PROPERTY; EFFECTIVE YOUNG'S MODULUS; GRAPHENE SHEETS; HOMOGENIZATION THEORY; IN-PLANE DEFORMATION;

EID: 84892833219     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00161-013-0292-y     Document Type: Article
Times cited : (26)

References (30)
  • 1
    • 0036721938 scopus 로고    scopus 로고
    • An atomistic-based finite deformation membrane for single layer crystalline films
    • 2002JMPSo.50.1941A 10.1016/S0022-5096(02)00002-9 1006.74061 1915336
    • Arroyo M.; Belytschko T.: An atomistic-based finite deformation membrane for single layer crystalline films. J. Mech. Phys. Solids 50, 1941-1977 (2002)
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 1941-1977
    • Arroyo, M.1    Belytschko, T.2
  • 2
    • 0037340837 scopus 로고    scopus 로고
    • A finite deformation membrane based on inter-atomic potentials for the transverse mechanics of nanotubes
    • 10.1016/S0167-6636(02)00270-3
    • Arroyo M.; Belytschko T.: A finite deformation membrane based on inter-atomic potentials for the transverse mechanics of nanotubes. Mech. Mater. 35, 193-215 (2003)
    • (2003) Mech. Mater. , vol.35 , pp. 193-215
    • Arroyo, M.1    Belytschko, T.2
  • 3
    • 2142825728 scopus 로고    scopus 로고
    • Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule
    • 2004PhRvB.69k5415A 10.1103/PhysRevB.69.115415
    • Arroyo M.; Belytschko T.: Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule. Phys. Rev. B 69, 115415-115418 (2004)
    • (2004) Phys. Rev. B , vol.69 , pp. 115415-115418
    • Arroyo, M.1    Belytschko, T.2
  • 5
    • 0014824142 scopus 로고
    • Elastic constants of compression-annealed pyrolytic graphite
    • 1970JAP.41.3373B 10.1063/1.1659428
    • Blakslee O.L.; Proctor D.G.; Seldin E.J.; Spence G.B.; Weng T.: Elastic constants of compression-annealed pyrolytic graphite. J. Appl. Phys. 41, 3373-3382 (1970)
    • (1970) J. Appl. Phys. , vol.41 , pp. 3373-3382
    • Blakslee, O.L.1    Proctor, D.G.2    Seldin, E.J.3    Spence, G.B.4    Weng, T.5
  • 6
    • 0004316217 scopus 로고    scopus 로고
    • Oxford University Press Oxford 10.1093/acprof:oso/9780198507840.001.0001 1198.49001
    • Braides A.: Γ-Convergence for Beginners. Oxford University Press, Oxford (2002)
    • (2002) Γ-Convergence for Beginners
    • Braides, A.1
  • 7
    • 33644817086 scopus 로고
    • Empirical potential for hydrocarbons for use in simulating the chemical vapor-deposition of diamond films
    • 1990PhRvB.42.9458B 10.1103/PhysRevB.42.9458
    • Brenner D.W.: Empirical potential for hydrocarbons for use in simulating the chemical vapor-deposition of diamond films. Phys. Rev. B 42, 9458-9471 (1990)
    • (1990) Phys. Rev. B , vol.42 , pp. 9458-9471
    • Brenner, D.W.1
  • 8
    • 0037409356 scopus 로고    scopus 로고
    • Size-dependent elastic properties of a single-walled carbon nanotube via a molecular mechanics model
    • 2003JMPSo.51.1059C 10.1016/S0022-5096(03)00006-1 1049.74034
    • Chang T.C.; Gao H.J.: Size-dependent elastic properties of a single-walled carbon nanotube via a molecular mechanics model. J. Mech. Phys. Solids 51, 1059-1074 (2003)
    • (2003) J. Mech. Phys. Solids , vol.51 , pp. 1059-1074
    • Chang, T.C.1    Gao, H.J.2
  • 9
    • 33845440521 scopus 로고    scopus 로고
    • Prediction of chirality- and size-dependent elastic properties of single-walled carbon nanotubes via a molecular mechanics model
    • 2006RSPSA.462.2523C 10.1098/rspa.2006.1682
    • Chang T.; Geng J.; Guo X.: Prediction of chirality- and size-dependent elastic properties of single-walled carbon nanotubes via a molecular mechanics model. Proc. R. Soc. A 462, 2523-2540 (2006)
    • (2006) Proc. R. Soc. A , vol.462 , pp. 2523-2540
    • Chang, T.1    Geng, J.2    Guo, X.3
  • 10
    • 78049241932 scopus 로고    scopus 로고
    • A molecular based anisotropic shell model for single-walled carbon nanotubes
    • 2010JMPSo.58.1422C 10.1016/j.jmps.2010.05.004 2724274
    • Chang T.: A molecular based anisotropic shell model for single-walled carbon nanotubes. J. Mech. Phys. Solids 58, 1422-1433 (2010)
    • (2010) J. Mech. Phys. Solids , vol.58 , pp. 1422-1433
    • Chang, T.1
  • 12
    • 84875854691 scopus 로고    scopus 로고
    • Homogenization of linearly elastic honeycombs
    • (Online First). doi: 10.1177/1081286511434195
    • Davini, C.: Homogenization of linearly elastic honeycombs. Math. Mech. Solids (2012) (Online First). doi: 10.1177/1081286511434195
    • (2012) Math. Mech. Solids
    • Davini, C.1
  • 13
    • 80051671942 scopus 로고    scopus 로고
    • A homogenized model for honeycomb cellular materials
    • doi: 10.1007/s10659-011-9311-z
    • Davini, C.; Ongaro, F.: A homogenized model for honeycomb cellular materials. J. Elast. 104(1-2), 205-226 (2011). doi: 10.1007/s10659-011-9311-z
    • (2011) J. Elast. , vol.104 , Issue.1-2 , pp. 205-226
    • Davini, C.1    Ongaro, F.2
  • 14
    • 0042071774 scopus 로고    scopus 로고
    • Generalized Hessian and external approximations in variational problems of second order
    • 10.1023/B:ELAS.0000005534.03840.19 1049.65116 2059933
    • Davini C.; Paroni R.: Generalized Hessian and external approximations in variational problems of second order. J. Elast. 70, 149-174 (2003)
    • (2003) J. Elast. , vol.70 , pp. 149-174
    • Davini, C.1    Paroni, R.2
  • 15
    • 10844224502 scopus 로고    scopus 로고
    • Buckling analysis of multi-walled carbon nanotubes: A continuum model accounting for van der Waals interaction
    • 2005JMPSo.53.303H 10.1016/j.jmps.2004.08.003 1162.74354
    • He X.Q.; Kitipornchai S.; Liew K.M.: Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van der Waals interaction. J. Mech. Phys. Solids 53, 303-326 (2005)
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 303-326
    • He, X.Q.1    Kitipornchai, S.2    Liew, K.M.3
  • 16
    • 33845440800 scopus 로고    scopus 로고
    • Thickness of graphene and single-wall carbon nanotubes
    • 2006PhRvB.74x5413H 10.1103/PhysRevB.74.245413
    • Huang Y.; Wu J.; Hwang K.C.: Thickness of graphene and single-wall carbon nanotubes. Phys. Rev. B 74, 245413 (2006)
    • (2006) Phys. Rev. B , vol.74 , pp. 245413
    • Huang, Y.1    Wu, J.2    Hwang, K.C.3
  • 17
    • 0342819025 scopus 로고
    • Helical microtubules of graphitic carbon
    • 1991Natur.354.56I 10.1038/354056a0
    • Iijima S.: Helical microtubules of graphitic carbon. Nature 354, 56-58 (1991)
    • (1991) Nature , vol.354 , pp. 56-58
    • Iijima, S.1
  • 19
    • 0002938293 scopus 로고
    • Zur Theorie der phasenumwandlungen II
    • 0016.24006
    • Landau L.D.: Zur Theorie der phasenumwandlungen II. Phys. Z. Sowjetunion 11, 26-35 (1937)
    • (1937) Phys. Z. Sowjetunion , vol.11 , pp. 26-35
    • Landau, L.D.1
  • 21
    • 0001262180 scopus 로고
    • Quelques proprietes typique des corps solids
    • 0013.23806 1508028
    • Peierls R.E.: Quelques proprietes typique des corps solids. Ann. I. H. Poincaré 5, 177-222 (1935)
    • (1935) Ann. I. H. Poincaré , vol.5 , pp. 177-222
    • Peierls, R.E.1
  • 22
    • 0034666972 scopus 로고    scopus 로고
    • Effective bending stiffness of carbon nanotubes
    • 2000PhRvB.62.9973R 10.1103/PhysRevB.62.9973
    • Ru C.Q.: Effective bending stiffness of carbon nanotubes. Phys. Rev. B 62, 9973-9976 (2000)
    • (2000) Phys. Rev. B , vol.62 , pp. 9973-9976
    • Ru, C.Q.1
  • 23
    • 0035371349 scopus 로고    scopus 로고
    • Axially compressed buckling of a doublewalled carbon nanotube embedded in an elastic medium
    • 2001JMPSo.49.1265R 10.1016/S0022-5096(00)00079-X 1015.74014
    • Ru C.Q.: Axially compressed buckling of a doublewalled carbon nanotube embedded in an elastic medium. J. Mech. Phys. Solids 49, 1265-1279 (2001)
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 1265-1279
    • Ru, C.Q.1
  • 24
    • 85042622418 scopus 로고    scopus 로고
    • Chirality-dependent mechanical behavior of carbon nanotubes based on an anisotropic elastic shell model
    • 10.1177/1081286508092604 1257.74119 2485351
    • Ru C.Q.: Chirality-dependent mechanical behavior of carbon nanotubes based on an anisotropic elastic shell model. Math. Mech. Solids 14, 88-101 (2009)
    • (2009) Math. Mech. Solids , vol.14 , pp. 88-101
    • Ru, C.Q.1
  • 25
    • 0000273759 scopus 로고    scopus 로고
    • Ab initio structural, elastic, and vibrational properties of carbon nanotubes
    • 1999PhRvB.5912678S 10.1103/PhysRevB.59.12678
    • Sanchez-Portal D.; Artacho E.; Soler J.M.; Rubio A.; Ordejon P.: Ab initio structural, elastic, and vibrational properties of carbon nanotubes. Phys. Rev. B 59, 12678-12688 (1999)
    • (1999) Phys. Rev. B , vol.59 , pp. 12678-12688
    • Sanchez-Portal, D.1    Artacho, E.2    Soler, J.M.3    Rubio, A.4    Ordejon, P.5
  • 26
    • 16444366630 scopus 로고
    • New empirical-approach for the structure and energy of covalent systems
    • 1988PhRvB.37.6991T 10.1103/PhysRevB.37.6991
    • Tersoff J.: New empirical-approach for the structure and energy of covalent systems. Phys. Rev. B 37, 6991-7000 (1988)
    • (1988) Phys. Rev. B , vol.37 , pp. 6991-7000
    • Tersoff, J.1
  • 27
    • 44449104881 scopus 로고    scopus 로고
    • Buckling of carbon nanotubes: A literature survey
    • 10.1166/jnn.2007.924
    • Wang C.Y.; Zhang Y.Y.; Wang C.M.; Tan V.B.C.: Buckling of carbon nanotubes: a literature survey. J. Nanosci. Nanotech. 7, 4221-4247 (2007)
    • (2007) J. Nanosci. Nanotech. , vol.7 , pp. 4221-4247
    • Wang, C.Y.1    Zhang, Y.Y.2    Wang, C.M.3    Tan, V.B.C.4
  • 28
    • 33750050422 scopus 로고    scopus 로고
    • Nanomechanics of carbon tubes: Instabilities beyond linear response
    • 1996PhRvL.76.2511Y 10.1103/PhysRevLett.76.2511
    • Yakobson B.I.; Brabec C.J.; Bernholc J.: Nanomechanics of carbon tubes: instabilities beyond linear response. Phys. Rev. Lett. 76, 2511-2514 (1996)
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 2511-2514
    • Yakobson, B.I.1    Brabec, C.J.2    Bernholc, J.3
  • 29
    • 0035643789 scopus 로고    scopus 로고
    • Ab initio molecular dynamics study on small carbon nanotubes
    • 2001ChPhL.18.1496Y 10.1088/0256-307X/18/12/337
    • Ye L.H.; Liu B.G.; Wang D.S.: Ab initio molecular dynamics study on small carbon nanotubes. Chin. Phys. Lett. 18, 1496-1499 (2001)
    • (2001) Chin. Phys. Lett. , vol.18 , pp. 1496-1499
    • Ye, L.H.1    Liu, B.G.2    Wang, D.S.3
  • 30
    • 0037014431 scopus 로고    scopus 로고
    • The elastic modulus of single-wall carbon nanotubes: A continuum analysis incorporating interatomic potentials
    • 10.1016/S0020-7683(02)00186-5 1049.74753
    • Zhang P.; Huang Y.; Geubelle P.H.; Klein P.A.; Hwang K.C.: The elastic modulus of single-wall carbon nanotubes: a continuum analysis incorporating interatomic potentials. Int. J. Solids Struct. 39, 3893-3906 (2002)
    • (2002) Int. J. Solids Struct. , vol.39 , pp. 3893-3906
    • Zhang, P.1    Huang, Y.2    Geubelle, P.H.3    Klein, P.A.4    Hwang, K.C.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.