粗糙表面接触的层级模型

Subjects: Mechanics >> Basic Mechanics submitted time 2023-04-24 Cooperative journals: 《应用力学学报》

闫铎 李磊泽 梁轩铭 邢宇铭

Abstract： Real machined surfaces are always rough across a wide range of length scales.This paper develops a hierarchical contact model,in which surface power spectrum density function is employed to divide roughness into two parts.In the macroscopic part,by cutting off short-wavelength roughness,the approximate contact area and the distribution of normal force are obtained adopting the continuum mechanics solution.In the microscopic part,the superposition of asperities for short wavelength is transformed into a two dimensional Cantor set based on fractal theory,and the approximate contact area is further refined based on the local pressure and geometric parameters.The contact response of the whole surface is thus obtained by adding the modification of the microscopic part into the macroscopic part.For verification,FEM is adopted to calculate the response of the fractal rough surfaces.The results demonstrate that our model can adequately predict the contact response of the multi-scale rough surface.The current study reduces the computing scale of the mechanical model of rough surfaces and thus provides a new method modeling rough surfaces in a larger scale span.This may have significant implications for further research on contact and friction between multi-scale rough surfaces.

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