球面と平面のLennard-Jones表面力による吸着・接触特性の数値解析(機械要素,潤滑,工作,生産管理など)

概要

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A numerical method for analyzing the elastic contact mechanics due to Lennard-Jones (LJ) surface forces between a spherical slider and a flat disk is presented by taking account of roughness contact effect. First, neglecting the effect of attractive force at asperity contact, various features of elastic contact of 2-mm radius slider are presented in relation to the distance between mean roughness heights. It is revealed that the contact behaviors at a small mean roughness height distance can not be predicted either by JKR or DMT theory. A simple equation to evaluate LJ adhesion force after contact is presented. Next, contact characteristics of 1-μm radius sphere and disk are presented to examine how LJ attractive force at asperity contact can be evaluated. It is found that the adhesion force can be approximated by JKR or DMT theory if the surface energy can be related to Hamaker constant properly. Then, a simple equation to evaluate LJ attractive force at asperity contact is presented for the roughness contact analysis.
2009-06-25