由於超高分子量聚乙烯跟股骨球頭的磨耗對於人工關節有很大的影響,所以本研究使用上邊界法建立犁耕效應數學模型,並利用SPA鑽石探針代替股骨球頭,在奈米尺度下進行單一表面粗糙峰在UHMWPE墊片上的磨耗行為,藉以觀察金屬表面單一粗糙峰與UHMWPE材料界面間的摩擦關係,由實驗上可以得知無因次化堆積高度會隨著正向力增加而有減小的趨勢,摩擦因子則會隨著正向力增加而變大,此一結果並不符合摩擦因子的定義,原因是因為受到真實接觸面積之影響,因此本研究所使用的摩擦模型必須加入真實接觸面積才會更加符合實際情況,經由修正後的摩擦模型其摩擦因子最後的結果則為一定值,實際產生變化的則是真實接觸面積比所造成。
Since Ultra High Molecular Weight Polyethylene (UHMWPE) and femoral head strongly affect the attrition of artificial joints, this research uses upper bound method to establish plowing model. In this research, with femoral head replaced by SPA diamond tip, the experiment tests out the attrition of single asperity on UHMWPE in the circumstances of nano-scale, so as to observe the attrition relationship between the mental single asperity and UHMWPE. According to the result of this experiment, the dimensionless pile-up height decreases while the normal force arises; the friction factor increases while the normal force arises. However, the consequence is failed to explain the definition of friction factor, which is attributed to the influence of the contact area ratio. Therefore, the experiment uses the friction model with real contact area ratio in order to better present the real situation. The friction factor of the modified consequence is a constant; the normal force increases while the real contact area ratio increases.