平面多裂纹相互影响分析  

Influence Analysis of Plane Multiple Cracks

作　　者：谭金志 姜繁智[1,2] 周诗洋 邓巍 TAN Jin-zhi;JIANG Fan-zhi;ZHOU Shi-yang;DENG Wei(Key Laboratory of Metallurgical Equipment and Control Technology,Wuhan University of Science and Technology,Hubei Wuhan 430081,China;Hubei Key Laboratory of Mechanical Transmission and Manufacturing Engineering,Wuhan University of Science and Technology,Hubei Wuhan 430081,China)

机构地区：[1]武汉科技大学冶金装备及其控制教育部重点实验室,湖北武汉430081 [2]武汉科技大学机械传动与制造工程湖北省重点实验室,湖北武汉430081

出　　处：《机械设计与制造》2024年第7期133-137,144,共6页Machinery Design & Manufacture

基　　金：国家自然科学基金(51805386)。

摘　　要：为研究含多裂纹的工程结构在服役过程中的不确定性问题,通过改变多裂纹之间的相对位置,采用有限元数值方法计算主裂纹尖端的J积分值,分析多裂纹之间的相互影响规律。结果表明:当裂纹之间有重叠区域时,干扰裂纹会减缓主裂纹的扩展;当裂纹之间无重叠区域时,干扰裂纹会加快主裂纹的扩展,且干扰裂纹与主裂纹的夹角越小,干扰裂纹对主裂纹的影响越大。当水平间距比大于9或垂直间距比大于±3时,干扰裂纹对主裂纹无影响。若从安全角度考虑,两条干扰裂纹对主裂纹影响的效果可视为两条干扰裂纹单独存在时对主裂纹影响的效果的叠加。In order to study the uncertainty of engineering structures with multiple cracks in service,by changing the relative positions of the multiple cracks,the J-integral value of the main crack tip was calculated by using the finite element numerical method,and the interaction law of multiple cracks was analyzed.The results show that when there is overlap between cracks,interference cracks can slow down the growth of the main cracks.When there is no overlap between the cracks,the interference crack will accelerate the propagation of the main crack.The smaller the angle between the interference crack and the main crack,the greater the influence of the interference crack on the main crack.When the horizontal spacing ratio is more than 9 or the vertical spacing ratio is more than±3,the interference crack have no effect on the main crack.From the safety point of view,the influence of two interference cracks on the main crack can be regarded as the superposition of the influence of two interference cracks on the main crack.

关 键 词：多裂纹 有限元法 数值模拟 J积分 相互影响 

分 类 号：TH16[机械工程—机械制造及自动化] O346.1[理学—固体力学]