Abstract

For surface texture with microprojections bounded by a mixture of concave and convex semicircles in two-dimensional space, analytical formulas are derived for the filling probability of the surface layer, both within cross sections and over the volume as a whole. Comparison of probability estimates obtained by graphical and analytical methods indicates excellent agreement. Comparison of the probability characteristics for microprojections bounded by concave semicircles, convex semicircles, and a mixture shows that they differ significantly on account of their different profiles, in the case of identical geometric characteristics. That confirms the practical utility of the probability characteristics of surface texture.

中文翻译：

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评估以复杂曲线为界的表面粗糙度（凹和凸半圆）

摘要

对于在二维空间中具有由凹凸半圆形混合物限制的微凸起的表面纹理，导出了在横截面内以及整个体积上的表面层填充概率的解析公式。通过图形和分析方法获得的概率估计值的比较表明非常一致。比较以凹面半圆，凸面半圆和混合物为边界的微突出物的概率特征，发现在几何特征相同的情况下，由于它们的轮廓不同，它们的差异很大。这证实了表面纹理的概率特征的实用性。