A numerical procedure for the surface deformation and adhesion between elastic half-spaces interacting by the Lennard-Jones surface potential is presented. The problem is solved based on the superposition of Boussinesq solutions for a half-space, with an iteration procedure to incorporate the nonlinear surface force-depression relation. First the axisymmetric contact between a sphere and a plane surface is demonstrated to show the validity of the procedure for a wide range of the Tabor parameter. The method is then applied to the contact between a sphere and a wavy surface, and the influence of the surface waviness on the adhesive behavior is illustrated.
- Tribology Division
Numerical Analysis of Surface Deformation and Adhesion by Lennard-Jones Interaction Potential
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Biwa, S, Iwata, S, Kakoi, K, & Ohno, N. "Numerical Analysis of Surface Deformation and Adhesion by Lennard-Jones Interaction Potential." Proceedings of the ASME/STLE 2004 International Joint Tribology Conference. ASME/STLE 2004 International Joint Tribology Conference, Parts A and B. Long Beach, California, USA. October 24–27, 2004. pp. 119-122. ASME. https://doi.org/10.1115/TRIB2004-64362
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