Comparative Study on Analytical Models and Experimental Results for Normal Contact of Rough Surfaces
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摘要: 目前粗糙界面接触问题的理论模型和实验研究基本是相互独立的,为此将典型粗糙面的法向接触理论模型与接触力学实验结果进行了系统的对比研究。理论模型考虑了经典的GW模型、CEB模型和ZMC模型及基于非线性有限元的KE模型和JG模型。实验方法考虑了准静态实验、接触共振实验和超声测量实验。结果表明:法向接触过程中,随载荷的增大,界面微凸体塑性变形贡献增大,考虑微凸体塑性变形的模型预测值与实验结果差别较小;相同法向载荷时,随着塑性指数增大,不同模型预测的位移差别增大;同时存在某一塑性指数区间,该区间内理论模型与实验误差最小;超声测量结果准确性依赖于所选择的接触刚度反演模型,改进的反演模型可缩小与理论模型的误差。Abstract: The nonlinear analysis about rough surface contact behaviors is an important problem of engineering. Current theoretical methods, which often based on statistic method and experimental researches of contact interfaces, are basically independent of each other. Hence, a comparative study between classically analytical models and typically experiments for normal contact interfaces is presented. Analytical models including GW model, CEB model, ZMC model, KE model and JG model are considered. Experimental techniques including quasi-static experiment, contact resonance based method and ultrasound measurement method are reviewed. The comparison results show that higher normal load leads to higher percentage of plastic deformation. Analytical models considering asperities' plastic deformation are more consistent with the experimental results. Under the same normal load, the deformation differences predicted by above different models increase with plasticity index. There exists a range of plasticity index in which the distinction between theoretical results and experimental results is the lowest. The ultrasound experimental results of contact stiffness are greatly affected by the ultrasonic model at interface. The modified ultrasonic model can effectively improve measurement accuracy.
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Key words:
- rough surface /
- normal contact /
- analytical models /
- nonlinear analysis /
- statistic /
- stiffness /
- comparative study /
- experiment
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图 11 接触刚度和接触压力关系[14]
表 1 取样间隔为12 μm的半球粗糙表面加载前参数[16]
编号 σ/μm σs/μm R/μm ϕ 1 0.29 0.28 178 3.11 2 0.37 0.33 177 3.39 3 0.52 0.41 163.2 3.93 4 0.96 0.68 152.8 5.23 5 2.5 1.69 36.6 16.87 表 2 加载前后面粗糙度参数[14]
状况 σs*/μm η*/mm-2 ks*/μm-1 加载前 4.80 84.1×103 0.98 加载后 3.31 138.5×103 0.86 -
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