【摘要】：依據(jù)分形理論,研究了粗糙表面間的真實接觸狀況,建立了粗糙表面間的分形接觸模型�？紤]微凸體的等級,確定了彈性臨界等級、第一彈塑性臨界等級和第二彈塑性臨界等級的表達(dá)式,研究了粗糙表面中單個微凸體的彈性、彈塑性及完全塑性變形的存在條件,推導(dǎo)出各個等級微凸體的臨界接觸面積的解析式。在此基礎(chǔ)上應(yīng)用微凸體的面積分布密度函數(shù),獲得了接觸表面上接觸載荷與真實接觸面積之間的關(guān)系。計算結(jié)果表明:單個微凸體的臨界接觸面積是和微凸體的尺度相關(guān),隨著微凸體等級的增大而減小;微凸體的變形順序為彈性變形、彈塑性變形和完全塑性變形,與傳統(tǒng)的接觸模型一致;在整個粗糙表面接觸過程中,粗糙表面變形過程與單個微凸體的變形過程一致;最大微凸體所處的等級范圍不同,粗糙表面所表現(xiàn)的力學(xué)性能也不相同。
[Abstract]:According to fractal theory, the real contact between rough surfaces is studied, and the fractal contact model between rough surfaces is established. Considering the grade of microconvex body, the expressions of elastic critical grade, first elastic-plastic critical grade and second elastic-plastic critical grade are determined. The existence conditions of elastic, elastic-plastic and complete plastic deformation of a single microconvex body in rough surface are studied, and the analytical expressions of critical contact area of each grade microconvex body are derived. On this basis, the relationship between the contact load on the contact surface and the real contact area is obtained by using the area distribution density function of the microconvex body. The results show that the critical contact area of a single microconvex body is related to the scale of the microconvex body and decreases with the increase of the grade of the microconvex body, and the deformation order of the microconvex body is elastic deformation, elastic-plastic deformation and complete plastic deformation, which is consistent with the traditional contact model, and the deformation process of the rough surface is consistent with that of the single microconvex body in the whole contact process of the rough surface, and the deformation order of the microconvex body is elastic deformation, elastic-plastic deformation and complete plastic deformation, which is consistent with the traditional contact model. The maximum microconvex body is in different grade range, and the mechanical properties of rough surface are different.
【作者單位】： 西安理工大學(xué)機(jī)械與精密儀器工程學(xué)院;西北工業(yè)大學(xué)機(jī)電學(xué)院;
【基金】：國家自然科學(xué)基金(51105304;51475364) 陜西省自然科學(xué)基礎(chǔ)研究計劃(2015JM5212)資助
【分類號】：O343.3

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