基于Abaqus的直齿圆柱齿轮疲劳裂纹应力强度因子研究  

Research of Stress Intensity Factor of Fatigue Crack of Spur Gear based on Abaqus

作　　者：裴未迟 楚京[1] 纪宏超 李耀刚 董建伟[1] Pei Weichi;Chu Jing;Ji Hongchao;Li Yaogang;Dong Jianwei(College of Mechanical Engineering,North China University of Science and Technology,Tangshan 063210,China;School of Mechanical Engineering,University of Science and Technology Beijing,Beijing 100083,China;National Center for Materials Service Safety,University of Science and Technology Beijing,Beijing 100083,China)

机构地区：[1]华北理工大学机械工程学院,河北唐山063210 [2]北京科技大学机械工程学院,北京100083 [3]北京科技大学国家材料服役安全科技中心,北京100083

出　　处：《机械传动》2019年第2期8-12,共5页Journal of Mechanical Transmission

基　　金：国家自然科学基金(51505124);华北理工大学博士基金启动项目(BS2017020);华北理工大学研究生创新项目(2018S23)

摘　　要：应力强度因子是研究断裂问题的重要参量,可以度量和控制裂纹的发生发展,对研究裂纹的疲劳损伤及预估寿命具有重要意义。为了研究直齿圆柱齿轮三维裂纹应力强度因子的变化规律,利用Abaqus建立了含半椭圆形初始裂纹的三维有限元模型,计算了半椭圆形裂纹前缘应力强度因子,分析了裂纹大小、形状以及载荷变化对裂纹前缘应力强度因子的影响规律。结果表明,齿根裂纹在扩展过程中主要表现为张开型裂纹;随着载荷的增大,应力强度因子K_I不断增大,但其分布规律保持不变;在载荷不变的情况下,K_I随着裂纹尺寸的增大而增大;在建立的半椭圆形裂纹中,随着长轴的增加,裂纹前缘上的K_I波动逐渐变小。The stress intensity factor is an important parameter to study the fracture problem.The occurrence and development of gear cracks can be measured and controlled,which is of great significance for studying the fatigue damage of cracks and predicting life.In order to study the variation law of three-dimensional crack stress intensity factor of spur gears,a three-dimensional finite element model with initial semi-elliptical cracks is established by Abaqus software.The stress intensity factor of the semi-elliptical crack front is calculated,and the influence of crack size,shape and load variation on the stress intensity factor at the leading edge is analyzed.The results show that the cracks of the roots of the teeth mainly manifested as open cracks during the expansion process.As the load increases,stress intensity factor KI also increases,but its distribution rules remain unchanged.With constant load,KI increases with the increase of crack size.In the establishment of semielliptical cracks,as the long axis increases,the KI fluctuations on the crack front gradually become smaller.

关 键 词：应力强度因子 ABAQUS 裂纹扩展 有限元模型 

分 类 号：TH132.417[机械工程—机械制造及自动化]