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基于真应力-应变关系的粗糙表面法向接触模型

发布时间:2018-10-13 16:12
【摘要】:提出一种粗糙表面的法向弹塑性接触分析的建模方法。基于微凸体的弹塑性有限元接触模型,分别研究了40Cr、45和Q235三种钢材料的微凸体与刚性平面的法向接触特性。有限元模型中采用三种材料的真应力-应变关系,考察了不同强化特性对微凸体接触性质的影响。建立了微凸体在弹性、弹塑性、塑性变形阶段统一的接触变量变化规律的表达式。在此基础上应用概率统计理论建立粗糙表面法向弹塑性接触模型。所建立的接触模型中微凸体接触变量的变化规律完全基于弹塑性有限元模型的计算结果,无需将微凸体的变形过程区分为不同的变形阶段,避免了接触变量在各阶段采用不同函数表达式带来的连续性和光滑性问题,以及在弹塑性阶段采用插值函数的随意性问题。通过与其他接触模型的计算结果相比较,证明了所提出接触模型的合理性。
[Abstract]:A modeling method for normal elastoplastic contact analysis of rough surfaces is presented. Based on the elastic-plastic finite element contact model of the microconvex body, the normal contact characteristics between the micro-convex body and the rigid plane of 40Cr-45 and Q235 steel materials are studied respectively. In the finite element model, the relationship between true stress and strain of three kinds of materials is used to investigate the effect of different strengthening characteristics on the contact properties of microconvex body. The expression of the uniform contact variable variation in elastic, elastoplastic and plastic deformation of microconvex body is established. On the basis of this, the normal elastic-plastic contact model of rough surface is established by using the theory of probability and statistics. The change of contact variables in the contact model is based on the results of the elastic-plastic finite element model, and it is not necessary to divide the deformation process of the micro-convex body into different deformation stages. The continuity and smoothness of contact variables using different function expressions in each stage and the arbitrariness of interpolation function in elastic-plastic stage are avoided. The rationality of the proposed contact model is proved by comparing the results with other contact models.
【作者单位】: 西安理工大学;
【基金】:国家自然科学基金资助项目(51145720) 陕西省科技厅科技统筹创新工程重点实验室资助项目(2014SZS10-P05)
【分类号】:O343.3

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