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Volumn 71, Issue 8, 2007, Pages 931-962

A contact mechanics model for quasi-continua

Author keywords

Coarse graining; Contact; Finite element method; Nano mechanics; Quasi continuum

Indexed keywords

ATOMS; COMPUTATIONAL EFFICIENCY; CONSTITUTIVE EQUATIONS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; MOLECULAR INTERACTIONS; MOLECULAR STRUCTURE;

EID: 34548021250     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1970     Document Type: Article
Times cited : (93)

References (53)
  • 1
    • 85040875608 scopus 로고
    • Cambridge University Press: Cambridge, MA
    • Johnson KL. Contact Mechanics. Cambridge University Press: Cambridge, MA, 1985.
    • (1985) Contact Mechanics
    • Johnson, K.L.1
  • 5
    • 0032156460 scopus 로고    scopus 로고
    • Energetics, structure, mechanical and vibrational properties of single-walled carbon nanotubes
    • Gao G, Çaǧin T, Goddard III WA. Energetics, structure, mechanical and vibrational properties of single-walled carbon nanotubes. Nanotechnology 1998; 9:184-191.
    • (1998) Nanotechnology , vol.9 , pp. 184-191
    • Gao, G.1    Çaǧin, T.2    Goddard III, W.A.3
  • 6
    • 0000786508 scopus 로고    scopus 로고
    • Deformation of carbon nanotubes by surface van der Waals forces
    • Hertel T, Walkup RE, Avouris P. Deformation of carbon nanotubes by surface van der Waals forces. Physical Review B 1998; 58(20):13870-13873.
    • (1998) Physical Review B , vol.58 , Issue.20 , pp. 13870-13873
    • Hertel, T.1    Walkup, R.E.2    Avouris, P.3
  • 9
    • 2642582415 scopus 로고    scopus 로고
    • Atomistic simulations of structural transformations of silicon surfaces under nanoindentation
    • Sanz-Navarro CF, Kenny SD, Smith R. Atomistic simulations of structural transformations of silicon surfaces under nanoindentation. Nanotechnology 2004; 15:692-697.
    • (2004) Nanotechnology , vol.15 , pp. 692-697
    • Sanz-Navarro, C.F.1    Kenny, S.D.2    Smith, R.3
  • 12
    • 0033153911 scopus 로고    scopus 로고
    • Force-distance curves by atomic force microscopy
    • Cappella B, Dietler G. Force-distance curves by atomic force microscopy. Surface Science Reports 1999; 34:1-104.
    • (1999) Surface Science Reports , vol.34 , pp. 1-104
    • Cappella, B.1    Dietler, G.2
  • 15
    • 33751360590 scopus 로고
    • Adhesion of spheres: The JKR-DMT transition using a dugdale model
    • Maugis D. Adhesion of spheres: the JKR-DMT transition using a dugdale model. Journal of Colloid and Interface Science 1992; 150(1):243-269.
    • (1992) Journal of Colloid and Interface Science , vol.150 , Issue.1 , pp. 243-269
    • Maugis, D.1
  • 20
    • 0041883609 scopus 로고    scopus 로고
    • Effect of interlayer potential on mechanical deformation of multiwalled carbon nanotubes
    • Qian D, Liu WK, Subramoney S, Ruoff RS. Effect of interlayer potential on mechanical deformation of multiwalled carbon nanotubes. Journal of Nanoscience and Nanotechnology 2003; 3(1/2):185-191.
    • (2003) Journal of Nanoscience and Nanotechnology , vol.3 , Issue.1-2 , pp. 185-191
    • Qian, D.1    Liu, W.K.2    Subramoney, S.3    Ruoff, R.S.4
  • 22
    • 0242367374 scopus 로고    scopus 로고
    • The quasicontinuum method: Overview, applications and current directions
    • Miller RE, Tadmor EB. The quasicontinuum method: overview, applications and current directions. Journal of Computer-Aided Material Design 2002; 9:203-239.
    • (2002) Journal of Computer-Aided Material Design , vol.9 , pp. 203-239
    • Miller, R.E.1    Tadmor, E.B.2
  • 23
    • 0043116551 scopus 로고
    • The London-Van der Waals attraction between spherical particles
    • Hamaker HC. The London-Van der Waals attraction between spherical particles. Physica 1937; 4(10):1058-1072.
    • (1937) Physica , vol.4 , Issue.10 , pp. 1058-1072
    • Hamaker, H.C.1
  • 24
    • 0035809647 scopus 로고    scopus 로고
    • The London-van der Waals interaction energy between objects of various geometries
    • Tadmor R. The London-van der Waals interaction energy between objects of various geometries. Journal of Physical: Condensed Matter 2001; 13:L195-L202.
    • (2001) Journal of Physical: Condensed Matter , vol.13
    • Tadmor, R.1
  • 26
    • 34548051346 scopus 로고    scopus 로고
    • An atomic interaction based continuum model for adhesive contact mechanics
    • Sauer RA, Li S. An atomic interaction based continuum model for adhesive contact mechanics. Finite Elements in Analysis and Design, 2006.
    • (2006) Finite Elements in Analysis and Design
    • Sauer, R.A.1    Li, S.2
  • 28
    • 0001765873 scopus 로고
    • A numerical approach to the testing of the fission hypothesis
    • Lucy LB. A numerical approach to the testing of the fission hypothesis. The Astronomical Journal 1977; 82:1013-1024.
    • (1977) The Astronomical Journal , vol.82 , pp. 1013-1024
    • Lucy, L.B.1
  • 31
    • 0001638688 scopus 로고
    • The cohesive force between solid surfaces and the surface energy of solids
    • Bradley RS. The cohesive force between solid surfaces and the surface energy of solids. Philosophical Magazine 1932; 13:853-862.
    • (1932) Philosophical Magazine , vol.13 , pp. 853-862
    • Bradley, R.S.1
  • 32
    • 0036721938 scopus 로고    scopus 로고
    • An atomistic-based finite deformation membrane for single layer crystaline films
    • Arroyo M, Belytschko T. An atomistic-based finite deformation membrane for single layer crystaline films. Journal of Mechanics and Physics of Solids 2002; 50:1941-1977.
    • (2002) Journal of Mechanics and Physics of Solids , vol.50 , pp. 1941-1977
    • Arroyo, M.1    Belytschko, T.2
  • 34
    • 29744435714 scopus 로고    scopus 로고
    • Coarse-grained molecular dynamics: Nonlinear finite elements and finite temperature
    • Rudd RE, Broughton JQ. Coarse-grained molecular dynamics: nonlinear finite elements and finite temperature. Physical Review B 2005; 72:144104.
    • (2005) Physical Review B , vol.72 , pp. 144104
    • Rudd, R.E.1    Broughton, J.Q.2
  • 35
    • 0034668642 scopus 로고    scopus 로고
    • Carbon nanotubes, buckyballs, ropes, and a universal graphitic potential
    • Girifalco LA, Hodak M, Lee RS. Carbon nanotubes, buckyballs, ropes, and a universal graphitic potential. Physical Review B 2000; 62(19):13104-13110.
    • (2000) Physical Review B , vol.62 , Issue.19 , pp. 13104-13110
    • Girifalco, L.A.1    Hodak, M.2    Lee, R.S.3
  • 36
    • 0000369691 scopus 로고    scopus 로고
    • The Cauchy-Born hypothesis, nonlinear elasticity and mechanical twinning in crystals
    • Zanzotto G. The Cauchy-Born hypothesis, nonlinear elasticity and mechanical twinning in crystals. Acta Crystallographica, Section A 1996; 52:839-849.
    • (1996) Acta Crystallographica, Section A , vol.52 , pp. 839-849
    • Zanzotto, G.1
  • 37
    • 0031994219 scopus 로고    scopus 로고
    • Numerical simulation of crack growth in an isotropic solid with randomized internal cohesive bonds
    • Gao H, Klein P. Numerical simulation of crack growth in an isotropic solid with randomized internal cohesive bonds. Journal of the Mechanics and Physics of Solids 1998; 46:187-218.
    • (1998) Journal of the Mechanics and Physics of Solids , vol.46 , pp. 187-218
    • Gao, H.1    Klein, P.2
  • 38
    • 0042964912 scopus 로고    scopus 로고
    • Validity and failure of the Cauchy-Born hypothesis in a two-dimensional mass-spring lattice
    • Friesecke G, Theil F. Validity and failure of the Cauchy-Born hypothesis in a two-dimensional mass-spring lattice. Journal of Nonlinear Science 2002; 12:445-478.
    • (2002) Journal of Nonlinear Science , vol.12 , pp. 445-478
    • Friesecke, G.1    Theil, F.2
  • 39
    • 32644433191 scopus 로고    scopus 로고
    • Adhesive contact between a nano-scale rigid sphere and an elastic half-space
    • Wu J-J. Adhesive contact between a nano-scale rigid sphere and an elastic half-space. Journal of Physics D: Applied Physics 2006; 39:351-358.
    • (2006) Journal of Physics D: Applied Physics , vol.39 , pp. 351-358
    • Wu, J.-J.1
  • 40
    • 0031189785 scopus 로고    scopus 로고
    • Surface formulation for molecular interactions of macroscopic bodies
    • Argento C, Jagoda A. Surface formulation for molecular interactions of macroscopic bodies. Journal of the Mechanics and Physics of Solids 1997; 45(7):1161-1183.
    • (1997) Journal of the Mechanics and Physics of Solids , vol.45 , Issue.7 , pp. 1161-1183
    • Argento, C.1    Jagoda, A.2
  • 44
    • 0000314657 scopus 로고
    • On one-dimensional finite-strain beam theory: The plane problem
    • Reissner E. On one-dimensional finite-strain beam theory: the plane problem. Journal of Applied Mathematical Physics 1972; 23:795-804.
    • (1972) Journal of Applied Mathematical Physics , vol.23 , pp. 795-804
    • Reissner, E.1
  • 45
    • 0022060633 scopus 로고
    • A finite strain beam formulation. The three-dimensional dynamic problem. Part I
    • Simo JC. A finite strain beam formulation. The three-dimensional dynamic problem. Part I. Computer Methods in Applied Mechanics and Engineering 1985; 49:55-70.
    • (1985) Computer Methods in Applied Mechanics and Engineering , vol.49 , pp. 55-70
    • Simo, J.C.1
  • 47
    • 0032484754 scopus 로고    scopus 로고
    • Manipulation of individual carbon nanotubes and their interaction with surfaces
    • Hertel T, Martel R, Avouris P. Manipulation of individual carbon nanotubes and their interaction with surfaces. Journal of Physical Chemistry, Series B 1998; 102(6):910-915.
    • (1998) Journal of Physical Chemistry, Series B , vol.102 , Issue.6 , pp. 910-915
    • Hertel, T.1    Martel, R.2    Avouris, P.3
  • 50
    • 0027909801 scopus 로고
    • Radial deformation of carbon nanotubes by van der Waals forces
    • Ruoff SR, Tersoff J, Lorents DC, Subramoney S, Chan B. Radial deformation of carbon nanotubes by van der Waals forces. Nature 1993; 364:514-516.
    • (1993) Nature , vol.364 , pp. 514-516
    • Ruoff, S.R.1    Tersoff, J.2    Lorents, D.C.3    Subramoney, S.4    Chan, B.5
  • 51
    • 4944233193 scopus 로고    scopus 로고
    • Elastica solution for a nanotube formed by self-adhesion of a folded thin film
    • Glassmaker NJ, Hui CY. Elastica solution for a nanotube formed by self-adhesion of a folded thin film. Journal of Applied Physics 2004; 96(6):3429-3433.
    • (2004) Journal of Applied Physics , vol.96 , Issue.6 , pp. 3429-3433
    • Glassmaker, N.J.1    Hui, C.Y.2
  • 52
    • 0033525774 scopus 로고    scopus 로고
    • Electrostatic deflections and electromechanical resonances of carbon nanotubes
    • Poncharal P, Wang ZL, Ugarte D, de Heer WA. Electrostatic deflections and electromechanical resonances of carbon nanotubes. Science 1999; 283:1513-1516.
    • (1999) Science , vol.283 , pp. 1513-1516
    • Poncharal, P.1    Wang, Z.L.2    Ugarte, D.3    de Heer, W.A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.