Normal contact stiffness of fractal rough surfaces
Normal contact stiffness of fractal rough surfaces
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DOI：
10.24423/aom.1286
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发表时间：
2014-11
影响因子：
0.8
通讯作者：
R. Buczkowski;M. Kleiber;G. Starzyński
中科院分区：
文献类型：
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作者：
R. Buczkowski;M. Kleiber;G. Starzyński
利用基于单变量Weierstrass-Mandelbrot函数的分形理论，得到了粗糙各向同性表面与光滑各向同性表面相互挤压时的法向接触刚度。由于在原来的分形理论的接触面积的分布是假设几何，我们提出的方法，其中的实际变形的凸体和校正由于凸体耦合（相互作用）将被考虑在内。该修正相当于有效分离的增加量与标称压力成比例，并且在较大法向载荷（低分离）下对接触刚度有显著影响。数值结果表明，接触刚度随法向载荷的非线性演化，特别是在低挤压压力下加载的第一阶段。我们已经比较了使用分形方法的理论接触刚度与实验超声测量的结果。在真实的表面上进行的实验结果与理论预测非常吻合。
We used the fractal theory based on a single variable Weierstrass–Mandelbrot function to obtain the normal contact stiffness if rough and smooth isotropic surfaces are pressed against each other. Because in the original fractal theory the distribution of contact area is assumed geometrically, we propose the method in which the actual deformation of asperities and a correction due to asperity coupling (interaction) will be taken into account. This correction is equivalent to an increase of the effective separation by a quantity proportional to the nominal pressure and it has a significant effect on contact stiffness at larger normal loads (low separations). The numerical results demonstrate a nonlinear evolution of the contact stiffness with the normal load in particular in the first stage of loading at low squeezing pressures. We have compared the results of the theoretical contact stiffness using the fractal method with the experimental ultrasonic measurements. Experimental results made on real surfaces agree remarkably well with the theoretical predictions.