A Solution for Lightly Loaded Adhesive Rough Surfaces With Application to MEMS

[+] Author and Article Information
Clint A. Morrow

Mechanical and Aerospace Engineering Department, Florida Institute of Technology, 150 W. University Blvd., Melbourne, FL 32901

Michael R. Lovell

Department of Mechanical Engineering, University of Pittsburgh, Pittsburgh, PA 15261

J. Tribol 127(1), 206-212 (Feb 07, 2005) (7 pages) doi:10.1115/1.1829723 History: Received February 24, 2004; Revised September 23, 2004; Online February 07, 2005
Copyright © 2005 by ASME
Your Session has timed out. Please sign back in to continue.


Komvopoulos,  K., and Yan,  W., 1997, “A Fractal Analysis of Stiction in Microelectromechanical Systems,” ASME J. Tribol., 119, pp. 391–400.
Johnson, K., 1985, Contact Mechanics, Cambridge, UK.
Fuller,  K., and Tabor,  D., 1975, “The Effect of Surface Roughness on Adhesion of Elastic Solids,” Proc. R. Soc. London, Ser. A, 345, pp. 327–342.
Maugis, D., 2000, Contact, Adhesion and Rupture of Elastic Solids, Springer-Verlag, Berlin Heidelberg.
Sahoo,  P., and Chowdhury,  S., 2002, “A Fractal Analysis of Adhesive Friction Between Rough Solids in Gentle Sliding,” Wear, 253, pp. 924–934.
Morrow,  C., Lovell,  M., and Ning,  X., 2003, “A JKR-DMT Transition Solution for Adhesive Rough Surface Contact,” J. Phys. D, 36, pp. 534–540.
Tabor,  D., 1977, “Surface Forces and Surface Interactions,” J. Colloid Interface Sci., 58, pp. 2–13.
Johnson,  K., Kendall,  K., and Roberts,  A., 1971, “Surface Energy and the Contact of Elastic Solids,” Proc. R. Soc. London, Ser. A, 324, pp. 301–313.
Derjaguin,  B., Muller,  V., and Toporov,  Y., 1975, “Effect of Contact Deformations on the Adhesion of Particles,” J. Colloid Interface Sci., 53, pp. 314–326.
Muller,  V., Yushchenko,  V., and Derjaguin,  B., 1980, “On the Influence of Molecular Forces on the Deformation of an Elastic Sphere and Its Sticking to a Rigid Plane,” J. Colloid Interface Sci., 77, pp. 91–101.
Muller,  V., Yushchenko,  V., and Derjaguin,  B., 1983, “General Theoretical Consideration of the Influence of Surface Forces on Contact Deformations and the Reciprocal Adhesion of Elastic Spherical Particles,” J. Colloid Interface Sci., 92, pp. 92–101.
Maugis,  D., 1992, “Adhesion of Spheres: The JKR-DMT Transition Using a Dugdale Model,” J. Colloid Interface Sci., 150, pp. 243–269.
Yan,  W., and Komvopoulos,  K., 1998, “Contact Analysis of Elastic-Plastic Fractal Surfaces,” J. Appl. Phys., 84, pp. 3617–3624.
Majumdar, A., 1989, “Fractal Surfaces and Their Applications to Surface Phenomena,” Ph.D. thesis, University of California, Berkley.
Ausloos,  M., and Berman,  D., 1985, “Elastic-Plastic Contact Model for Bifractal Surfaces,” Proc. R. Soc. London, Ser. A, 400, pp. 331–350.
Komvopoulos,  K., and Ye,  N., 2001, “Three-Dimensional Contact Analysis of Elastic-Plastic Layered Media With Fractal Surface Topographies,” ASME J. Tribol., 123, pp. 632–640.
Majumdar,  A., and Bhushan,  B., 1991, “Fractal Model of Elastic-Plastic Contact Between Rough Surfaces,” ASME J. Tribol., 113, pp. 1–11.
Greenwood,  J., and Williamson,  J., 1966, “Contact of Nominally Flat Surfaces,” Proc. R. Soc. London, Ser. A, 295, pp. 300–319.
Sahoo,  P., and Chowdhury,  S., 1996, “A Fractal Analysis of Adhesion at the Contact Between Rough Solids,” Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol., 210, pp. 269–279.
Maugis,  D., 1996, “On the Contact and Adhesion of Rough Surfaces,” J. Adhes. Sci. Technol., 10, pp. 161–175.
Mastrangelo,  C., 1993, “Mechanical Stability and Adhesion of Microstructures Under Capillary Forces—Part II: Experiments,” J. Microelectromech. Syst., 2, pp. 44–55.


Grahic Jump Location
Adherence force variation
Grahic Jump Location
Single asperity validation of algorithm
Grahic Jump Location
Illustration of problem variables
Grahic Jump Location
Flowchart of the numerical algorithm implemented
Grahic Jump Location
Real and truncated area depiction
Grahic Jump Location
Adhesive contact regimes defined by λ
Grahic Jump Location
Dugdale and Lennard-Jones force separation laws



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In