中文摘要：

基于粗糙表面的分形描述和适用于小Tabor数微突体的黏着弹性接触理论，采用积分方法建立了小Tabor数分形粗糙表面之间的黏着弹性接触模型，获得弹性接触条件下的真实接触面积和载荷表达式，在此基础上采用单因素分析法分析表面粗糙度和材料性质对分离力的影响．结果表明，当分形维数增加时，粗糙表面单位面积上的微突体数目增加且高度减小，从而导致两表面间的分离力增大；当分形粗糙度参数增大时微突体高度增加，从而导致分离力减小；当材料弹性模量增加时黏着作用减弱，从而减小了分离力，而表面黏着能的增加会使分离力急剧增大．

英文摘要：

Adhesive elastic contact model of fractal rough surfaces with small Tabor numbers was built based on the fractal description of rough surfaces and the DMT contact theory of single asperities. The expressions of real contact area and applied load were obtained by integration method. Effects of roughness parameters and material properties on the pull-off force were analyzed. Pull-off force increased with the fractal dimension gradually for increasing density and decreasing heights of asperities. Pull-off force decreased with increasing roughness parameter for the larger asperity heights. In addition, pull-off force decreased with increasing elastic moduli of materials for reduction of ad- hesion effect, while it increased rapidly with adhesion energy between the two surfaces for enhancement of adhesion effect.