考虑接触压力二阶导数连续性的粗糙表面弹塑性接触模型  

Rough surface elastic-plastic contact model considering continuity of contact pressure second-order derivative

作　　者：周炜 李鑫[1] 肖罡 杨国庆[1] 唐进元[3] ZHOU Wei;LI Xin;XIAO Gang;YANG Guo-qing;TANG Jin-yuan(Hunan Provincial Key Laboratory of High Efficiency and Precision Machining of Difficult-to-Cut Material,Hunan University of Science and Technology,Xiangtan 411201,China;Jiangxi Copper Technology Research Institute Co.,Ltd.,Nanchang 330096,China;State Key Laboratory of High Performance Complex Manufacturing,Central South University,Changsha 410083,China)

机构地区：[1]湖南科技大学难加工材料高效精密加工湖南省重点实验室,湖南湘潭411201 [2]江西铜业技术研究院有限公司,江西南昌330096 [3]中南大学高性能复杂制造国家重点实验室,湖南长沙410083

出　　处：《塑性工程学报》2025年第1期161-167,共7页Journal of Plasticity Engineering

基　　金：国家自然科学基金资助项目(52471055);江西省自然科学基金杰出青年基金资助项目(20224ACB218002);江西省高层次高技能领军人才培养工程资助项目;湖南省自然科学基金资助项目(2022JJ30019);广西大学省部共建特色金属材料与组合结构全寿命安全国家重点实验室开放基金资助项目(2022GXYSOF24)。

摘　　要：针对现有粗糙表面弹塑性接触模型只考虑微凸体平均接触压力在屈服临界点零至一阶导数的连续性,且高阶导数不连续性的影响尚不明晰的问题,对微凸体弹塑性变形阶段平均接触压力与法向压入量之间的关系进行分析,提出了一种计入接触压力二阶导数连续性的粗糙表面弹塑性接触模型,并与现有粗糙表面弹塑性接触模型和实验数据进行对比分析。结果表明:所提模型所得微凸体接触压力曲线单调和连续性较好,且在屈服临界点一、二阶导数计算值与理论值更加相符;忽略二阶导数连续性导致接触求解存在一定偏差,该偏差随塑性指数的增大和表面间隙的减小而增大。Aiming at the problem that the existing rough surface elastic-plastic contact models only considers the continuity of the derivatives from zero to the first-order of asperity average contact pressure at yield critical points,and the influence of the discontinuity of higherorder derivatives is not clear,the relationship between the average contact pressure and the normal penetration depth during asperity elastic-plastic deformation stage was analyzed.Then a rough surface elastic-plastic contact model that takes into account the continuity of the second-order derivative of contact pressure was proposed.The developed model was analyzed in comparison with existing models and experiment data.The results show that the asperity contact pressure curves obtained by the proposed model have good monotonicity and continuity,and the calculated values of the first-order and the second-order derivatives at yield critical points are more consistent with the theoretical values;neglecting the continuity of the second-order derivative leads to a certain deviation in contact solution,and the deviation increases with the increase of plasticity index and the decrease of surface separation.

关 键 词：粗糙表面 接触 弹塑性 微凸体 

分 类 号：TH117[机械工程—机械设计及理论]