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A Continuum Mechanics Model of Adhesive Contact Based on the Lennard-Jones Potential

[+] Author Affiliations
Z. Song, K. Komvopoulos

University of California, Berkeley, Berkeley, CA

Paper No. IJTC2010-41154, pp. 411-413; 3 pages
  • STLE/ASME 2010 International Joint Tribology Conference
  • STLE/ASME 2010 International Joint Tribology Conference
  • San Francisco, California, USA, October 17–20, 2010
  • Conference Sponsors: Tribology Division
  • ISBN: 978-0-7918-4419-9 | eISBN: 978-0-7918-3890-7
  • Copyright © 2010 by ASME


A continuum model of adhesive interaction between elastic surfaces is presented. Surface interaction between two elastic spheres is modeled by the Lennard-Jones (L-J) potential. The analysis is based on the equivalent system of a rigid sphere of reduced radius in close proximity with an elastic half-space of effective elastic modulus. The critical gap at the instant of the “jump-in” and “jump-out” contact instabilities is determined by an elastic solution of the half-space surface displacement. A finite element model, in which surface interaction is modeled by nonlinear springs of a prescribed force-displacement governed by the L-J potential, is also used to analyze adhesive surface interaction. The analytical model is validated by finite element results of the critical central gap at the instant of jumpin and jump-out instabilities for different values of the Tabor parameter.

Copyright © 2010 by ASME



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