中文摘要：

基于分形几何学理论和传统统计接触力学理论的无缝连接,考虑微凸体由弹性变形向弹塑性变形以致最终向塑性流动转化的过程,架构结合部单次加载模型。在此基础上,应用带一个随机相位的Weierstrass-Mandelbrot函数构建粗糙表面的微观几何学形貌。数值仿真曲线图显示,法向总接触载荷随着实际接触面积的增加而微凸弧式增加,在相同实际接触面积下,法向总接触载荷随着分形粗糙度的加大而变大;实际弹塑性接触面积占实际接触面积的百分率随着实际接触面积的增加而凹弧式减小;法向弹塑性接触载荷占法向总接触载荷的比例随着实际接触面积的增加而凹弧式减小,随着分形粗糙度的减小而变小;法向总接触载荷随着分形维数的加大经历首先增加然后减小,随后再增加最后再减小的2次循环过程;随着分形维数的增加,法向弹塑性接触载荷占法向总接触载荷的百分比先减小后增加;实际弹塑性接触面积占实际接触面积的比值随着分形维数的变大先减小后增加;忽略弹塑性变形的CEB模型会导致预测的法向接触力大于弹塑性模型,CEB模型法向接触力与弹塑性模型的相对误差为4.798%~56.58%。结合部单次加载模型可为粗糙表面弹塑性接触的精确求解提供一定的理论基础。

英文摘要：

One loading model of joint interface is described by means of the seamless connection of fractal geometry theory and traditional statistic contact mechanics theory, considering asperity transition process from elastic deformation, through elastoplastic deflection, to eventually plastic flow. The rough surface micro geometry topography is proposed adopting Weierstrass-Mandelbrot function with one stochastic phase. Numerical emulation curves display that normal total contact load micro protrusively increases with the increasing of real contact area and normal total contact force adds due to the increase of fractal roughness with the same real contact area;the percentage of real elastoplastic contact area to real contact area concavely decreases with increase in real contact area;the ratio of normal elastoplastic contact load to normal total contact load concavely diminishes as real contact area enhances and fractal roughness reduces; when fractal dimension ascends, normal total contact load undergoes two cyclic course that it first improves then shrinks later gains finally diminishes; the share of normal elastoplastic contact force to normal total contact force firstly lessens afterward aggrandizes with the increment of fractal dimension; the share of real elastoplastic contact area to real contact area above all decreases subsequently rises with the augment of fractal dimension;CEB model of overlooking elastoplastic deformation leads that its predicting normal contact force is larger than the elastoplastic model’s, besides, the relative error between CEB model’s normal contact force and the elastoplastic’s one lies within the range 4.798%-56.58%. Single loading model of joint interface will lay a theoretical foundation for the accurate solving of harsh surface elastoplastic contact.