Under the low-velocity impact conditions, in order to study the contact load variation law of the ellipsoid elastic bodies, an elastic–plastic contact analysis model of rough ellipsoid surfaces is provided based on elastic–plastic fractal theory. A spherical elastic–plastic fractal model considering friction factors is established, and the spherical diameter density distribution function and elastic contact mechanics are used as the solution methods. The two contact surfaces are taken as the research object, and the influence of relevant variables on the contact intensity is analyzed. The analysis results show that the fractal dimension and roughness have a greater effect on contact performance, the contact load is positively related to the surface roughness, and the lower friction coefficient has a weaker effect on the contact load, and the correctness of the present model is verified by comparing finite element simulation results and other studies. The modified spherical contact load function provides a theoretical basis for the friction and wear of the microscopic surface, it can be applied for solving the sliding contact problems with different impact velocities and the surface bearing capacity of the impact parts can be improved.

中文翻译：

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用于低速冲击过程的粗糙表面之间弹塑性接触的分形模型

在低速冲击条件下，为研究椭球弹性体的接触载荷变化规律，基于弹塑性分形理论，建立了粗糙椭球面弹塑性接触分析模型。建立了考虑摩擦因素的球面弹塑性分形模型，并采用球面直径密度分布函数和弹性接触力学作为求解方法。以两个接触面为研究对象，分析了相关变量对接触强度的影响。分析结果表明，分形维数和粗糙度对接触性能的影响较大，接触载荷与表面粗糙度呈正相关，较低的摩擦系数对接触载荷的影响较弱，并通过比较有限元仿真结果与其他研究验证了本模型的正确性。修正后的球面接触载荷函数为微观表面的摩擦磨损提供了理论依据，可用于解决不同冲击速度下的滑动接触问题，提高冲击部位的表面承载能力。