Adhesive force between a spherical rigid particle and an incompressible elastic substrate |
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Affiliation: | 1. School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China;2. Laboratory of Advanced Nuclear Materials, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China;3. Division of Nuclear Materials Science and Engineering, Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China;1. Department of Analytical and Environmental Chemistry, Faculty of Chemistry and Geosciences, Vilnius University, Naugarduko 24, 03225, Vilnius, Lithuania;2. Department of Electrochemical Materials Science, State Research Institute Centre for Physical Sciences and Technology, Sauletekio g. 3, Vilnius, Lithuania;3. Department of Mechatronics and Robotics, Vilnius Gediminas Technical University, J. Basanavičiaus 28, 03224, Vilnius, Lithuania;4. Panevėžys Competence Center of Technology and Business, Kaunas University of Technology, Nemuno g. 33, LT-37164, Panevėžys, Lithuania;5. Department of Physical Chemistry, Faculty of Chemistry and Geosciences, Vilnius University, Naugarduko 24, Vilnius, Lithuania;6. Laboratory of Nanotechnology, State Research Institute Centre for Physical Sciences and Technology, Sauletekio g.3, Vilnius, Lithuania;1. School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China;2. Laboratory of Advanced Nuclear Materials, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China;3. Division of Nuclear Materials Science and Engineering, Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China |
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Abstract: | Adhesion between a spherical rigid particle and an incomprssible elastic substrate is studied on the basis of the Lennard–Jones (L–J) potential, and the aim is to explore limitations of the well-known Derjaguin approximation. A new expression of the adhesive force is derived, in which the contribution from the elastic deformation of the substrate is incorporated naturally. Numerical results show that the Derjaguin approximation is valid down to particle radii of the order of the interaction range. |
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