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考虑两半球体单峰塑性接触时球台体积守恒建立实际接触面积、法向接触载荷、塑性指数的解析解,通过中间自变量———两接触粗糙表面的间距,建立了机械结合部法向接触的力学模型.计算与分析结果表明:在给定法向总接触载荷下,两接触粗糙表面的间距随塑性指数的增加而增加;对于非常光滑表面或硬材料,接触几乎始终为弹性;表面越粗糙或材料越柔软,更多塑性接触会出现,未计及塑性接触的GW理论低估两接触粗糙表面的间距;在给定法向总接触载荷下,总接触面积随塑性指数的增加而减小;在非常高塑性指数下,弹性接触所占比例极少;在较低塑性指数下,塑性接触面积对总实际接触面积的贡献非常小;修正GW弹塑性接触理论适用于法向接触载荷极大的情况.
The analytic solution of the actual contact area, the normal contact load and the plastic exponent is established by considering the volume conservation of the tabletop during the unimodal plastic contact of the two hemispheres. By means of the intermediate argument --- the distance between the two contact rough surfaces, the normal contact of the mechanical junction is established The results of calculation and analysis show that the distance between two contact rough surfaces increases with the increase of plasticity index under the given total normal contact load and the contact is almost always elastic with very smooth or hard materials.The rougher Or softer materials, more plastic contact occurs, GW theory that does not account for plastic contact underestimates the distance between two rough contact surfaces; at a given normal total contact load, the total contact area decreases as the plasticity index increases; at Under the condition of very high plasticity index, the proportion of elastic contact is very small; at low plasticity index, the contribution of plastic contact area to the total actual contact area is very small; the modified GW elasto-plastic contact theory is suitable for the situation that the normal contact load is very large .