Acta Mechanica Solida Sinica

, Volume 19, Issue 4, pp 341–351 | Cite as

Adhesive contact problem of axisymmetric miniature circular plates with central rigid bump

  • Yiming Fu
  • Sheng Li
  • Yanping Tian
Article

Abstract

Considering the adhesive effect and geometric nonlinearity, the adhesive contact between an elastic substrate and a clamped miniature circular plate with two different central rigid bumps under the action of uniform transverse pressure and in-plane tensile force in the radial direction was analyzed. And an analytical solution is presented by using the perturbation method. The relation of surface adhesive energies with critical load to detach the contacted surfaces is obtained. In the numerical results, the effects of adhesive energy, in-plane tensile force, rigid bump size and contact radius on the critical load are discussed, and the relation of critical contact radius with the gap between the central rigid bump and the substrate for different adhesive energies is investigated.

Key words

miniature circular plate two different central rigid bumps elastic substrate adhesive contact geometric nonlinearity 

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References

  1. [1]
    Huston,M.R., Maboudian,R. and Howe,R.T., Ammonium fluoride anti-stictiontreatments for poly-silion microstructure, Proceedings of the 8-th International Conference on Solid-State and Actuators, Transducers’95, Stockholm, Sweden, 1995, 210–213.Google Scholar
  2. [2]
    Huston M.R., Howe R.T. and Maboudian R., Effect of hydrogen termination on the work of adhesion between rough polycrystalline silion surface, J. Appl Phys, Vol.81, 1997, 3474–3483.CrossRefGoogle Scholar
  3. [3]
    Letechtnberg R., Timans H.A.C., Elders J. and Elwenspoek M., Stiction of surface micromachined structures after rinsing and drying-model and investigation of adhesion mechanisms, Sensors and Actuators, Vol.43(A), 1994, 230–238.CrossRefGoogle Scholar
  4. [4]
    Lawn B., Fracture of Brittle Solid, 2nd edn, New York: Cambridge University Press, 1993.CrossRefGoogle Scholar
  5. [5]
    Mastrangelo C.H. and Hsu C.H., Mechanical stability and adhesion of microstructures under capillary force—Part I: basic theory, J. Micro-Electro-Mech, Sys.2, 1993, 33–43.CrossRefGoogle Scholar
  6. [6]
    de Boer M.P. and Michalske T.A., Accurate method for determining adhesion of cantilever beams, J. Apple, Phys.86, 1999, 817–827.CrossRefGoogle Scholar
  7. [7]
    Jones E.E., Begley M.R. and Murphy K.D., Adhesion of micro-cantilevers subjected to mechanical point loading: modeling and experiments, J. Mech. Phys. Solid, Vol.51, 2003, 1601–1622.CrossRefGoogle Scholar
  8. [8]
    Johnson K.L., Kendall K. and Robbers D., Surface energy and contact of elastic solid, Pro. R. Soc. London, Vol.324(A), 1971, 301–313.CrossRefGoogle Scholar
  9. [9]
    Maugis D., Adhesion of sphere: the JKP-DMT transition using a Dugdal mode, Colloid Interface Sci, Vol.192(A), 1997, 326–333.Google Scholar
  10. [10]
    Johnson K.L., Adhesion and friction between a smooth elastic spherical asperity and a plane surface, Pro. R. Soc. Lond., Vol.453(A), 1997, 163–179.CrossRefGoogle Scholar
  11. [11]
    Burnham N.A. and Colton R.J., Force microscopy //Bonnell, D.A.(ed.), Scanning Tunneling Microscopy and Sperctroscopy, New York: VCH Publishers, 1993, 191–249.Google Scholar
  12. [12]
    Zdeblick M.J. and Angell J.B., A microminiature electric-fluidic valve //Trimmer, W.S.(ed.), Micromechanics and MEMS, New York: IEEE Press, 1996, 444–449.Google Scholar
  13. [13]
    Chien,W.Z. and Yeh,K.Y., On the large deflection of rectangular plate, Proceedings of IX-th International Congress of Applied Mechanics, Bruxelles, 1956, 403–412.Google Scholar
  14. [14]
    Yang Fuqian, Adhesion contact of axisymmetric suspended miniature structures, Sensor Actuators, Vol.104(A), 2003, 44–52.CrossRefGoogle Scholar
  15. [15]
    Kendall K., Ahesion and surface energy of elastic solid, J. Phys., D: Appl, Pys.324(A), 1971, 1187–1191.Google Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2006

Authors and Affiliations

  • Yiming Fu
    • 1
  • Sheng Li
    • 1
  • Yanping Tian
    • 1
  1. 1.Department of Engineering MechanicsHunan UniversityChangshaChina

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