尺度相关的分形粗糙表面弹塑性接触力学模型
发布时间：2019-07-29 20:36
【摘要】：依据分形理论,研究了粗糙表面间的真实接触状况,建立了粗糙表面间的分形接触模型。考虑微凸体的等级,确定了弹性临界等级、第一弹塑性临界等级和第二弹塑性临界等级的表达式,研究了粗糙表面中单个微凸体的弹性、弹塑性及完全塑性变形的存在条件,推导出各个等级微凸体的临界接触面积的解析式。在此基础上应用微凸体的面积分布密度函数,获得了接触表面上接触载荷与真实接触面积之间的关系。计算结果表明:单个微凸体的临界接触面积是和微凸体的尺度相关,随着微凸体等级的增大而减小;微凸体的变形顺序为弹性变形、弹塑性变形和完全塑性变形,与传统的接触模型一致;在整个粗糙表面接触过程中,粗糙表面变形过程与单个微凸体的变形过程一致;最大微凸体所处的等级范围不同,粗糙表面所表现的力学性能也不相同。
[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.
【作者单位】： 西安理工大学机械与精密仪器工程学院;西北工业大学机电学院;
【基金】：国家自然科学基金(51105304;51475364) 陕西省自然科学基础研究计划(2015JM5212)资助
【分类号】：O343.3
本文编号：2520741
[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.
【作者单位】： 西安理工大学机械与精密仪器工程学院;西北工业大学机电学院;
【基金】：国家自然科学基金(51105304;51475364) 陕西省自然科学基础研究计划(2015JM5212)资助
【分类号】：O343.3
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