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Variation of adhesive force in the nanoscale contact

Duan Fang-Li Wang Guang-Jian Qiu He-Bing

Variation of adhesive force in the nanoscale contact

Duan Fang-Li, Wang Guang-Jian, Qiu He-Bing
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  • Intermolecular attractive forces lead to the adhesion problem in M/NEMS. The Van der Waals formula for the interaction between macroscopic objects can be used only in the situation with no deformation. As to the adhesive contact between elastic bodies it is still unknown how the attractive force contributes to the normal force on the interface. In this paper large-scale molecular dynamics simulation is performed to study the adhesive contact between a rigid spherical tip and an elastic flat substrate. We study the effect of atomic-scale surface roughness on the adhesive properties, including pull-off force between tips and substrate, the variation of adhesive force with applied load, and the distribution of contact stress. The results show that the adhesive force varies linearly with the applied load for the atomic-scale smooth contact. But for the atomic-scale rough contact the variation of adhesive force with applied load can be divided into two phases, which are distinguished by different increasing slops. Compared with the smooth contact, the rough contact has a small pull-off force, but exhibits a large adhesive force during the contacting process. Our simulations indicate that the pull-off force cannot characterize the contribution of attractive interaction to the normal force on the interface in the case of an elastic adhesion contacting.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 50875271), the Natural Science Foundation of Chongqing, China (Grant No. CSTC 2009BB4200), and the Fundamental Research Funds for the Central Universities (Grant No. CDJZR11 28 00 01).
    [1]

    Israelachvili J N 1992 Intermolecular and Surface Forces (San Diego: Academic Press) p176

    [2]

    Delrio FW, De BoerMP, Knapp J A, Reedy E D, Clews P J, Dunn M L 2005 Nat. Mater. 4 692

    [3]

    Moore N W, Houston J E 2010 J. Adhesion Sci. Technol. 24 2531

    [4]

    Brunner R, Tyndall G W, Waltman R J, Talke F E 2010 Tribol. Lett. 40 41

    [5]

    Mate C M 2008 Tribology on the Small Scale (New York: Oxford University Press) p151

    [6]

    Zhao Y P, Wang L S, Yu T X 2003 J. Adhesion Sci. Technol. 17 519

    [7]

    Barthel E 2008 J. Phys. Appl. Phys. 41 163001

    [8]

    Hill I J, Sawyer W G 2010 Tribol. Lett. 37 453

    [9]

    Luan B, Robbins M O 2005 Nature (London) 435 929

    [10]

    Akarapu S, Sharp T, Robbins M O 2011 Phys. Rev. Lett. 106 204301

    [11]

    Yang C, Persson B N J 2008 Phys. Rev. Lett. 100 024303

    [12]

    Mo Y, Turner K, Szlufarska I 2009 Nature (London) 457 1116

    [13]

    Mo Y, Szlufarska I 2010 Phys. Rev. B 81 035405

    [14]

    Plimpton S 1995 J. Comp. Phys. 117 1

    [15]

    Piotrowski P L, Cannara R J, Gao G T, Urban J J, Carpick R W, Harrison J A 2010 J. Adhesion Sci. Technol. 24 2471

    [16]

    Carpick W, Ogletree D F, Salmeron M 1999 J. Colloid Interface Sci. 211 395

    [17]

    Schwarz U D 2003 J. Colloid Interface Sci. 261 99

    [18]

    Luan B, Robbins M O 2006 Phys. Rev. E 74 026111 046801-5

  • [1]

    Israelachvili J N 1992 Intermolecular and Surface Forces (San Diego: Academic Press) p176

    [2]

    Delrio FW, De BoerMP, Knapp J A, Reedy E D, Clews P J, Dunn M L 2005 Nat. Mater. 4 692

    [3]

    Moore N W, Houston J E 2010 J. Adhesion Sci. Technol. 24 2531

    [4]

    Brunner R, Tyndall G W, Waltman R J, Talke F E 2010 Tribol. Lett. 40 41

    [5]

    Mate C M 2008 Tribology on the Small Scale (New York: Oxford University Press) p151

    [6]

    Zhao Y P, Wang L S, Yu T X 2003 J. Adhesion Sci. Technol. 17 519

    [7]

    Barthel E 2008 J. Phys. Appl. Phys. 41 163001

    [8]

    Hill I J, Sawyer W G 2010 Tribol. Lett. 37 453

    [9]

    Luan B, Robbins M O 2005 Nature (London) 435 929

    [10]

    Akarapu S, Sharp T, Robbins M O 2011 Phys. Rev. Lett. 106 204301

    [11]

    Yang C, Persson B N J 2008 Phys. Rev. Lett. 100 024303

    [12]

    Mo Y, Turner K, Szlufarska I 2009 Nature (London) 457 1116

    [13]

    Mo Y, Szlufarska I 2010 Phys. Rev. B 81 035405

    [14]

    Plimpton S 1995 J. Comp. Phys. 117 1

    [15]

    Piotrowski P L, Cannara R J, Gao G T, Urban J J, Carpick R W, Harrison J A 2010 J. Adhesion Sci. Technol. 24 2471

    [16]

    Carpick W, Ogletree D F, Salmeron M 1999 J. Colloid Interface Sci. 211 395

    [17]

    Schwarz U D 2003 J. Colloid Interface Sci. 261 99

    [18]

    Luan B, Robbins M O 2006 Phys. Rev. E 74 026111 046801-5

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  • Received Date:  28 April 2011
  • Accepted Date:  23 June 2011
  • Published Online:  15 April 2012

Variation of adhesive force in the nanoscale contact

  • 1. State Key Laboratory of Mechanical Transmissions, Chongqing University, Chongqing, 400030 China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 50875271), the Natural Science Foundation of Chongqing, China (Grant No. CSTC 2009BB4200), and the Fundamental Research Funds for the Central Universities (Grant No. CDJZR11 28 00 01).

Abstract: Intermolecular attractive forces lead to the adhesion problem in M/NEMS. The Van der Waals formula for the interaction between macroscopic objects can be used only in the situation with no deformation. As to the adhesive contact between elastic bodies it is still unknown how the attractive force contributes to the normal force on the interface. In this paper large-scale molecular dynamics simulation is performed to study the adhesive contact between a rigid spherical tip and an elastic flat substrate. We study the effect of atomic-scale surface roughness on the adhesive properties, including pull-off force between tips and substrate, the variation of adhesive force with applied load, and the distribution of contact stress. The results show that the adhesive force varies linearly with the applied load for the atomic-scale smooth contact. But for the atomic-scale rough contact the variation of adhesive force with applied load can be divided into two phases, which are distinguished by different increasing slops. Compared with the smooth contact, the rough contact has a small pull-off force, but exhibits a large adhesive force during the contacting process. Our simulations indicate that the pull-off force cannot characterize the contribution of attractive interaction to the normal force on the interface in the case of an elastic adhesion contacting.

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