Defining contact at the atomic scale

Tribology Letters

Volumn 39, Issue 3, 2010, Pages 329-348

  Cheng, Shengfeng ^a   Robbins, Mark O ^a  

^a JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

Contact mechanics; Nanotribology

Indexed keywords

ADHESIVE SURFACES; ATOMIC GEOMETRY; ATOMIC RESOLUTION; ATOMIC SCALE; CONTACT AREAS; CONTACT MECHANICS; CONTINUUM MODEL; CONTINUUM THEORY; EXPONENTIAL FORM; FLAT SURFACES; HARMONIC MEAN; IDENTICAL CRYSTALS; MOLECULAR DYNAMICS SIMULATIONS; NORMAL PRESSURE; QUANTITATIVE DESCRIPTION; SIMPLE BEHAVIORS; SIMULATION RESULT; SPHERICAL SURFACE; THERMAL FLUCTUATIONS; TIME AVERAGING; TIME INTERVAL; TIME-AVERAGED;

ADHESION; CONTINUUM MECHANICS; HARDNESS; MEAN FIELD THEORY; MOLECULAR DYNAMICS; NANOTRIBOLOGY;

ATOMS;

EID: 77956725220     PISSN: 10238883     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11249-010-9682-5     Document Type: Conference Paper

References (44)

1. J.A. Greenwood J.B.P. Williamson 1966 Contact of nominally flat surfaces Proc. R. Soc. Lond. A 295 300 319 10.1098/rspa.1966.0242 1:CAS:528: DyaF2sXht1ChsA%3D%3D 1966RSPSA.295..300G
2. Johnson, K.L.: Contact Mechanics. Cambridge, New York (1985)
3. B.N.J. Persson 2001 Elastoplastic contact between randomly rough surfaces Phys. Rev. Lett. 87 116101 10.1103/PhysRevLett.87.116101 1:STN:280: DC%2BD3MvptFWrtA%3D%3D 11531537 2001PhRvL..87k6101P
4. S. Hyun L. Pei J.F. Molinari M.O. Robbins 2004 Finite-element analysis of contact between elastic self-affine surfaces Phys. Rev. E 70 026117 10.1103/PhysRevE.70.026117 1:STN:280:DC%2BD2cvotVegsA%3D%3D 2004PhRvE..70b6117H
5. Bowden, F.P., Tabor, D.: The Friction and Lubrication of Solids. Clarendon Press, Oxford (1986)
6. Y.F. Gao A.F. Bower 2005 Elastic-plastic contact of a rough surface with weierstrass profile Proc. R. Soc. A 462 319 348 10.1098/rspa.2005.1563 2189265 2006RSPSA.462..319G
7. L. Pei S. Hyun J.F. Molinari M.O. Robbins 2005 Finite element modeling of elasto-plastic contact between rough surfaces J. Mech. Phys. Sol. 53 2385 2409 1162.74416 10.1016/j.jmps.2005.06.008 1:CAS:528:DC%2BD2MXhtVWltLfF 2005JMPSo..53.2385P (Pubitemid 41329905)
8. R.W. Carpick M. Salmeron 1997 Scratching the surface: fundamental investigations of tribology with atomic force microscopy Chem. Rev. 97 1163 1194 10.1021/cr960068q 1:CAS:528:DyaK2sXjsFWis7w%3D 11851446
9. R.W. Carpick D.F. Ogletree M. Salmeron 1997 Lateral stiffness: a new nanomechanical measurement for the determination of shear strengths with friction force microscopy Appl. Phys. Lett. 70 1548 1550 10.1063/1.118639 1:CAS:528:DyaK2sXitFehtr0%3D 1997ApPhL..70.1548C
10. M. Enachescu R.J.A. van den Oetelaar R.W. Carpick D.F. Ogletree C.J.F. Flipse M. Salmeron 1998 An afm study of an ideally hard contact: the diamond(111)/tungsten carbide interface Phys. Rev. Lett. 81 1877 1880 10.1103/PhysRevLett.81.1877 1:CAS:528:DyaK1cXls1Wjsr8%3D 1998PhRvL..81.1877E
11. R.W. Carpick D.F. Ogletree M. Salmeron 1999 A general equation for fitting single asperity contact area and friction measurements J. Colloid Interface Sci. 211 395 400 10.1006/jcis.1998.6027 1:CAS:528:DyaK1MXhtlCis78%3D 10049556 (Pubitemid 29394640)
12. B.Q. Luan M.O. Robbins 2005 The breakdown of continuum models for mechanical contacts Nature 435 929 932 10.1038/nature03700 1:CAS:528: DC%2BD2MXltFeltbY%3D 15959512 2005Natur.435..929L (Pubitemid 40896315)
13. Luan, B.Q.: Simulations of contact and friction: Connecting atomic and continuum descriptions. Ph.D. thesis, Johns Hopkins University, Baltimore (2006)
14. Y. Mo K.T. Turner I. Szlufarska 2009 Friction laws at the nanoscale Nature 457 1116 1119 10.1038/nature07748 1:CAS:528:DC%2BD1MXitlGksrg%3D 19242472 2009Natur.457.1116M
15. Y. Mo I. Szlufarska 2010 Roughness picture of friction in dry nanoscale contacts Phys. Rev. B 81 3 035405 10.1103/PhysRevB.81.035405 2010PhRvB..81c5405M
16. M.T. Knippenberg P.T. Mikulski B.I. Dunlap J.A. Harrison 2008 Atomic contributions to friction and load for tip-self-assembled monolayers interactions Phys. Rev. B 78 23 235409 10.1103/PhysRevB.78.235409 2008PhRvB..78w5409K
17. Harrison, J.A., Stuart, S.J., Brenner, D.W.: Atomic-scale simulation of tribological and related phenomena. In: Bhushan, B. (ed.) Handbook of Micro/Nanotribology, pp. 525-594. CRC Press, Boca Raton (1999)
18. Robbins, M.O., Müser, M.H.: Computer simulations of friction, lubrication and wear. In: Bhushan, B. (ed.) Handbook of Modern Tribology, pp. 717-765. CRC Press, Boca Raton (2000) (cond-mat/0001056)
19. M.J. Brukman G. Gao R.J. Nemanich J.A. Harrison 2008 Temperature dependence of single-asperity diamond-diamond friction elucidated using afm and md simulations J. Phys. Chem. C 112 9358 10.1021/jp711959e 1:CAS:528: DC%2BD1cXms1agsbk%3D
20. J.D. Pearson G. Gao M.A. Zikry J.A. Harrison 2009 Nanoindentation of model diamond nanocomposites: Hierarchical molecular dynamics and finite-element simulations Comp. Mat. Sci. 47 1 10.1016/j.commatsci.2009.06.007 1:CAS:528:DC%2BD1MXhtleisbnN
21. M. Chandross C.D. Lorenz M.J. Stevens G.S. Grest 2008 Simulations of nanotribology with realistic probe tip models Langmuir 24 1240 1246 10.1021/la702323y 1:CAS:528:DC%2BD1cXjt1agsg%3D%3D 18184018 (Pubitemid 351345843)
22. C. Yang B.N.J. Persson 2008 Molecular dynamics study of contact mechanics: contact area and interfacial separation from small to full contact Phys. Rev. Lett. 100 024303 10.1103/PhysRevLett.100.024303 1:STN:280: DC%2BD1c%2Fns1GlsQ%3D%3D 18232875 2008PhRvL.100b4303Y
23. C. Yang B.N.J. Persson 2008 Contact mechanics: contact area and interfacial separation from small contact to full contact J. Phys. Condens. Matter 20 215214 10.1088/0953-8984/20/21/215214 2008JPCM...20u5214Y
24. B.Q. Luan M.O. Robbins 2009 Hybrid atomistic/continuum study of contact and friction between rough solids Tribol. Lett. 36 1 16 10.1007/s11249-009-9453- 3 1:CAS:528:DC%2BD1MXhtVenu7jK
25. S. Cheng B.Q. Luan M.O. Robbins 2010 Contact and friction of nanoasperities: effects of adsorbed monolayers Phys. Rev. E 81 016102 10.1103/PhysRevE.81.016102 2010PhRvE..81a6102C
26. N.A. Burnham R.J. Colton H.M. Pollock 1991 Interpretation issues in force microscopy J. Vac. Sci. Technol. A 9 2548 2556 10.1116/1.577271 1:CAS:528:DyaK3MXksl2nt7k%3D 1991JVST....9.2548B
27. U.D. Schwarz 2003 A generalized analytical model for the elastic deformation of an adhesive contact between a sphere and a flat surface J. Colloid Interface Sci. 261 99 106 10.1016/S0021-9797(03)00049-3 1:CAS:528:DC%2BD3sXjt1emtLg%3D 12725829 (Pubitemid 36506543)
28. Luan, B.Q., Hyun, S., Robbins, M.O., Bernstein, N.: Multiscale modeling of two dimensional rough surface contacts. In: Wahl, K.J., Huber, N., Mann, A.B., Bahr, D.F., Cheng, Y.T. (eds.) Fundamentals of Nanoindentation and Nanotribology, vol 841, pp. R74. Materials Research Society, Warrendale (2005)
29. B.Q. Luan S. Hyun J.F. Molinari N. Bernstein M.O. Robbins 2006 Multiscale modeling of two-dimensional contacts Phys. Rev. E 74 046710 10.1103/PhysRevE.74.046710 1:STN:280:DC%2BD28jislChtw%3D%3D 2006PhRvE..74d6710L (Pubitemid 44679579)
30. C. Campañá M.H. Müser M.O. Robbins 2008 Elastic contact between self-affine surfaces: ĉparison of numerical stress and contact correlation functions with analytic predictions J. Phys. Condens. Matter 20 354013 10.1088/0953-8984/20/35/354013
31. S. Hyun M.O. Robbins 2007 Elastic contact between rough surfaces: effect of roughness at large and small wavelengths Tribol. Int. 40 1413 1422 10.1016/j.triboint.2007.02.003 1:CAS:528:DC%2BD2sXpvF2qurk%3D (Pubitemid 47321806)
32. B.N.J. Persson 2008 On the elastic energy and stress correlation in the contact between elastic solids with randomly rough surfaces J. Phys. Condens. Matter 20 312001 10.1088/0953-8984/20/31/312001 2008JPCM...20E2001P
33. Allen, M.P., Tildesley, D.J.: Computer Simulation of Liquids. Clarendon Press, Oxford (1987)
34. A.O. Sergici G.G. Adams S. Müftü 2006 Adhesion in the contact of a spherical indenter with a layered elastic half-space J. Mech. Phys. Sol. 54 1843 1861 1120.74667 10.1016/j.jmps.2006.03.005 2006JMPSo..54.1843O (Pubitemid 43902886)
35. G.T. Gao R.J. Cannara R.W. Carpick J.A. Harrison 2007 Atomic-scale friction on diamond: a comparison of different sliding directions on (001) and (111) surfaces using md and afm Langmuir 23 10 5394 5405 10.1021/la062254p 1:CAS:528:DC%2BD2sXjslWgtLw%3D 17407330 (Pubitemid 46830409)
36. D. Dowson, History of Tribology. Longman, New York (1979)
37. Israelachvili, J.N.: Intermolecular and Surface Forces, 2nd edn. Academic Press, London (1991)
38. C. Campañá M.H. Müser 2007 Contact mechanics of real vs. randomly rough surfaces: a green's function molecular dynamics study Europhys. Lett. 77 38005 10.1209/0295-5075/77/38005 2007EL.....7738005C
39. J.H. Dieterich B.D. Kilgore 1996 Imaging surface contacts: power law contact distributions and contact stresses in quartz, calcite, glass and acrylic plastic Tectonophysics 256 219 239 10.1016/0040-1951(95)00165-4 1996Tectp.256..219D
40. D. Maugis 1992 Adhesion of spheres: the JKR-DMT transition using a Dugdale model J. Colloid Interface Sci. 150 243 269 10.1016/0021-9797(92)90285-T 1:CAS:528:DyaK38XhvVaiu7s%3D
41. Maugis, D.: In: Grunze, M., Kreuzer, H.J. (eds.) Adhesion and Friction, vol. 17, pp. 303. Springer, Berlin (1990)
42. D. Tabor 1977 Surface forces and surface interactions J. Colloid Interface Sci. 58 2 13 10.1016/0021-9797(77)90366-6 1:CAS:528: DyaE1MXht1Onsw%3D%3D
43. Stevens, M.J., Robbins, M.O.: Melting of Yukawa systems: a test of phenomenological melting criteria. J. Chem. Phys. 98, 2319-2324 (1993)
44. Krim J., Palasantzas, G.: Experimental observation of self-affine scaling and kinetic roughening at sub-micron lengthscales. Int. J. Mod. Phys. B 9, 599-632 (1995)