中文摘要：

建立了二维弹塑性非稳态循环纯滚动接触有限元模型．材料本构采用一种较好的循环塑性模型．并通过材料用户子程序在通用有限元软件ABAQUS中自定义该本构模型．通过在弹塑性无限半空间表面上重复移动随时间按简谐规律变化的赫兹法向载荷来模拟非稳态循环纯滚动接触过程．通过数值模拟，得到接触表面附近的残余累积变形、应变和残余应力．不同的最大赫兹接触压力对残余应力和残余应变影响较大．在简谐变化的法向接触载荷作用下接触表面的变形呈波浪形，随着滚动次数的增加，该波状表面沿载荷移动相反方向逐渐移动，但移动速率要衰减．波状表面波谷处的残余应力、应变和变形大于波峰处．随滚动次数的增加，残余应力增大但很快趋于稳定，残余应变也增大但增大速率衰减．

英文摘要：

A two-dimensional elastic-plastic finite element model of repeated, frictionless rolling contact in non-steady state was described. An advanced cyclic plasticity model was implemented into a commercially available finite element package via the material subroutine. The consideration of non-steady state rolling contact was restricted to a harmonic variation of the normal contact pressure. Repeated rolling contacts were simulated by multiple translations of a varying semi-elliptical Hertzian pressure distribution across elastic-plastic semi-infinite half space. The calculations presented the displacements, the residual stress-strain distributions, and the stress-strain histories. The harmonic variation of the normal contact pressure or the maximum Hertzian pressure results in a wavy rolling contact surface profile. The wavy surface profile has a tendency to move along the rolling and radial directions as rolling cycles increase. The wave depth of the wavy deformation increases with increasing rolling passes but the ratchetting rate decays. The maximum Hertzian pressure greatly influences the residual stresses and the residual strains. The residual stresses increase with increasing number of rolling passes but tend to stabilize. The residual strains and surface displacements also increase but the ratchetting rates decay with rolling passes. The residual stresses and strains near the wave trough of the residual wavy deformation are higher than those near the wave crest.