Rough surface contact research has always been one of the main topics of the tribology.The as-perity contact is the basis study of contact of rough surface.The asperity was assumed to be sphere in much research ,but this assumption are not applicable when the interface is anisotropic.A finite element model of single elastic-plastic cylindrical asperity with rigid flat surface was developed to analyze the rela-tionships among contact areas,contact force,contact hardness and penetration depth with finite element meth-od( FEM) .This asperity model is suitable for anisotropic surface,such as grind surface.Results showed that the contact hardness varied with the deformed contact geometry,rather than material constants.An em-pirical formulation was established and was continuous in all intervals and valid for different scales.Good meshing and the convergence of finite element could ensure the accuracy of the results.The relative error be-tween the fitted equations with actual values obtained by FEM calculation was less than 10%,expect the small area when the plastic deformation just occur.This model can be applied in to the asperity model of an-isotropic interface and laid the theoretical foundations for model of grinding interface.%磨削表面具有明显的各向异性特性,表面微凸体可以近似地用圆柱体来模拟.建立了弹塑性微凸体接触的有限元对称模型,分析了接触面积、硬度和接触力与干涉量的关系,并在有限元分析的基础上进行了经验公式的拟合.结果表明:弹塑性接触阶段微凸体的等效硬度随着接触几何变化而改变,而不是材料的常数.拟合得到的模型在弹性和弹塑性接触区域是连续的.除了在刚达到弹塑性变形的极小区间内,拟合公式与有限元数据的相对误差在10%以内.研究结果可以应用于各向异性表面的微凸体的接触特性模拟中,为磨削表面接触特性的研究奠定了理论基础.
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