Statistical model of nearly complete elastic rough surface contact
Statistical model of nearly complete elastic rough surface contact
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DOI：
10.1016/j.ijsolstr.2013.12.005
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发表时间：
2014-03
影响因子：
3.6
通讯作者：
Yang Xu;R. Jackson;D. Marghitu
中科院分区：
文献类型：
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作者：
Yang Xu;R. Jackson;D. Marghitu
在均匀、各向同性、线弹性粗糙面法向接触领域，已经发展了许多经典的统计模型，这些模型仅适用于实际接触面积极小的早期接触，例如Greenwood-Williamson(GW)模型。在本文中，在(I)GW，(Ii)Nayak-Bush和(Iii)Greenwood简化椭圆模型的框架下建立的新的统计模型，将经典统计模型的应用范围扩展到几乎完全接触的情况。接近完全接触是实际接触面积与名义接触面积之比接近1的阶段。在接近完全接触时，非接触区域由有限数量的非接触区域组成(在有限的标称接触区域上)。每个非接触区都被视为I型“裂纹”。每个非接触区的面积和每个非接触区内对应的捕获体积分别由线弹性断裂力学的解析解确定。对于一定的平均接触压力，不仅可以由新发展的统计模型确定真实的接触面积，还可以确定平均界面间隙。粗糙面仅限于几何各向同性表面，即相应的统计参数与测量方向无关。比较了不同统计参数组合下的平均接触压力、非接触面积和平均界面间隙之间的关系。并将现有模型预测的非接触面积与平均接触压力之间的关系与Persson接触理论的结果进行了比较。文中还探讨了经典统计模型与新发展模型之间的相似性。
In the area of homogeneous, isotropic, linear elastic rough surface normal contact, many classic statistical models have been developed which are only valid in theearly contactwhen real area of contact is infinitesimally small, e.g., the Greenwood–Williamson (GW) model. In this article, newly developed statistical models, built under the framework of the (i) GW, (ii) Nayak–Bush and (iii) Greenwood’s simplified elliptic models, extend the range of application of the classic statistical models to the case ofnearly complete contact. Nearly complete contact is the stage when the ratio of the real area of contact to the nominal contact area approaches unity. At nearly complete contact, the non-contact area consists of a finite number of the non-contact regions (over a finite nominal contact area). Each non-contact region is treated as a mode-I “crack”. The area of each non-contact region and the corresponding trapped volume within each non-contact region are determined by the analytical solutions in the linear elastic fracture mechanics, respectively. For a certain average contact pressure, not only can the real area of contact be determined by the newly developed statistical models, but also the average interfacial gap. Rough surface is restricted to the geometrically-isotropic surface, i.e., the corresponding statistical parameters are independent of the direction of measurement. Relations between the average contact pressure, non-contact area and average interfacial gap for different combinations of statistical parameters are compared between newly developed statistical models. The relations between non-contact area and average contact pressure predicted by the current models are also compared with that by Persson’s theory of contact. The analogies between the classic statistical models and the newly developed models are also explored.