Theoretical and Finite Element Analysis of Static Friction Between Multi-Scale Rough Surfaces
Theoretical and Finite Element Analysis of Static Friction Between Multi-Scale Rough Surfaces
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DOI：
10.1007/s11249-018-1099-6
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发表时间：
2018-10
影响因子：
3.2
通讯作者：
Xianzhang Wang;Yang Xu;R. Jackson
中科院分区：
文献类型：
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作者：
Xianzhang Wang;Yang Xu;R. Jackson
目前的工作在预测静摩擦系数的新模型中考虑了粗糙度的多尺度特性。这项工作是基于以前的粗糙表面接触模型，该模型使用堆叠的弹塑性三维正弦来模拟多个粗糙度尺度上的粗糙度。用有限元方法建立了三维可变形粗糙面受刚性平板挤压的确定性模型。文中还考虑了确定性有限元模型的精度。在接触开始时，这是面点接触，粗糙或尖峰是孤立的、尖锐的，接触区域由数量不足的元素和误差源组成。在这种接触范围内，结果并不真实或准确。随着法向载荷的增加，接触单元的数量变大，结果变得更加准确。也就是说，确定性有限元结果在高载荷下最准确。谱内插用于平滑原始测量节点之间的几何体。分析了法向载荷和塑性指数对静摩擦力的影响。并将理论模型的预测结果与现有的粗糙表面摩擦接触模型和有限元计算结果进行了比较。它们具有很好的定性一致性，特别是对于较高的载荷和较高的塑性指数。有限元模型也有较大误差，但在较高载荷下精度较高，多尺度静摩擦模型与有限元模型吻合较好。
The current work considers the multi-scale nature of roughness in a new model that predicts the static friction coefficient. This work is based upon a previous rough surface contact model, which used stacked elastic–plastic 3-D sinusoids to model the asperities at multiple scales of roughness. A deterministic model of a three-dimensional deformable rough surface pressed against a rigid flat surface is also carried out using the finite element method (FEM). The accuracy of the deterministic FEM model is also considered. At the beginning of contact, which is surface-point contact, the asperities or peaks are isolated, sharp, and the contact areas consist of an inadequate number of elements and sources of error. In this range of contact, the results are not presented as real or accurate. As the normal load increases, the number of the contact elements become larger, and thus, the results become more accurate. That is, the deterministic FEM results are most accurate at high loads. Spectral interpolation is used to smooth the geometry in between the original measured nodes. The effects of normal load and plasticity index on static friction are then analyzed. The results predicted by the theoretical model are also compared to other existing rough surface friction contact models and the FEM results. They are in a good qualitative agreement, especially for higher loads and higher plasticity indices. The FEM model also has significant error, but it is more accurate at higher loads where the proposed multi-scale static friction model and FEM model are in better agreement.