We study the nominal (ensemble averaged) contact pressure p(x) acting on a cylinder squeezed in contact with an elastic half space with random surface roughness. The contact pressure is Hertzian-like for \(\alpha < 0.01\) and Gaussian-like for \(\alpha > 10\), where the dimensionless parameter \(\alpha = h_{\rm rms}/\delta \) is the ratio between the root-mean-square roughness amplitude and the penetration for the smooth surfaces case (Hertz contact).

中文翻译：

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具有表面粗糙度的圆柱-平面接触力学

我们研究了作用在与具有随机表面粗糙度的弹性半空间接触的圆柱体上挤压的名义（整体平均）接触压力p（x）。\（\ alpha <0.01 \）的接触压力类似于Hertzian ，而\（\ alpha> 10 \）的接触压力类似于高斯，其中无因次参数\（\ alpha = h _ {\ rm rms} / \ delta \）是均方根粗糙度幅度与光滑表面情况（赫兹接触）的渗透率之间的比率。