粗さ表面のLennard-Jones表面力を考慮した球面と平面の接触特性の数値解析法

概要

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A new numerical analysis method for elastic adhesive contact mechanics between a sphere and a flat with a sub-nanometer roughness is presented by taking account of Lennard-Jones (LJ) surface forces. In contrast to conventional theories, the LJ forces of contacting asperities and all noncontacting rough surfaces are taken into account. Elastic deformation of mean height surfaces is also taken into account. Convergent solutions obtained by a simple under-relaxation iteration method are shown for two contact models: 2-mm radius glass slider and magnetic disk with relatively large roughness, and 20-mm radius head model contacting with a magnetic disk with low roughness. Comparison of this new theory with previous theory considering LJ surface forces of mean height surfaces and modified Chang-Etsion-Bogy theory with and without deformation of mean height surfaces are presented. It is found that the present theory gives the largest external adhesion force and that this theory tends to approach the mean height surface theory as roughness height decreases to zero.