Research on the loading–unloading fractal contact model between two three-dimensional spherical rough surfaces with regard to friction
Research on the loading–unloading fractal contact model between two three-dimensional spherical rough surfaces with regard to friction
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两个三维球面粗糙表面摩擦加卸载分形接触模型研究
DOI：
10.1007/s00707-020-02787-4
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发表时间：
2020-08
期刊：
影响因子：
2.7
通讯作者：
Feihong Yun
中科院分区：
文献类型：
--
作者：
Honghai Wang;Peng Jia;Liquan Wang;Feihong Yun
建立了考虑摩擦的三维球形粗糙表面加卸载分形接触模型。得到了考虑摩擦的单微凸体加卸载循环接触模型。推导了三维球面接触面在不同变形阶段加卸载过程中接触载荷与真实的接触面积的关系式。通过数值分析讨论了模型中参数的影响。数值结果表明，摩擦球面接触表面不同变形阶段的临界接触载荷和临界真实的接触面积与分形维数和曲率半径正相关，与分形粗糙度负相关，受接触类型的影响。在有摩擦的球面接触面弹塑性阶段，在相同接触载荷下，卸载过程中的真实的接触面积大于加载过程中的接触面积;对于给定的接触载荷，加载-卸载过程的真实的接触面积以及加载-卸载过程中的真实的接触面积之差随着分形维数和曲率半径的增大而增大，分形粗糙度的减小，或者内部接触代替外部接触。
A loading–unloading fractal contact model between two three-dimensional spherical rough surfaces with regard to friction is developed. The contact model of single asperity for the load–unload cycle with regard to friction is obtained. The expressions between contact load and real contact area in the loading and unloading processes in different deformation stages of three-dimensional spherical contact surfaces are deduced. The impacts of some parameters in the model are discussed by numerical analysis. The numerical results show that the critical contact load and the critical real contact area in different deformation stages of spherical contact surfaces with friction are positively related to the fractal dimension and the curvature radius, negatively correlated with the fractal roughness, influenced by the contact type. In the elastoplastic stage of spherical contact surfaces with friction, the real contact area in the unloading process is larger than that in the loading process with the same contact load; for a given contact load, the real contact area of the loading–unloading process, as well as the differences of the real contact area in the loading–unloading processes, increases with the increase in the fractal dimension and the curvature radius, decrease in the fractal roughness, or the substitution of internal contact for external contact.
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