A numerical method for the fast evaluation of ratcheting in solid-contaminated contact between rollers was developed. The physical problem was simplified with a plane-strain half-infinite body, with a distribution of pressure and tangential stress on the contact surface obtained by considering the presence of evenly spaced solid contaminant particles between the contacting bodies. Such a distribution was obtained by an analytical method, which considered the material of the contacting bodies as linear elastic. The stresses under the contact surfaces were calculated using the Boussinesq-Cerruti model. Subsequently, the plastic strain accumulated in the roller after each application of the contact load was calculated by means of a non-linear kinematic-hardening constitutive law, also considering the effect of wear in removing material layers from the surface.

中文翻译：

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轨轮与固体污染物接触时棘轮的计算评估

开发了一种快速评估滚子之间固体污染接触中的棘轮效应的数值方法。使用平面应变半无限体简化了物理问题，通过考虑接触体之间存在均匀间隔的固体污染物颗粒来获得接触表面上的压力和切向应力的分布。这种分布是通过分析方法获得的，该方法将接触体的材料视为线弹性。使用 Boussinesq-Cerruti 模型计算接触面下的应力。随后，通过非线性运动硬化本构定律计算每次施加接触载荷后滚子中累积的塑性应变，同时还考虑了从表面去除材料层时磨损的影响。