应力强度因子和裂纹扩展判据的典型算法  

Typical calculation methods of stress intensity factors and crack propagation criterions

作　　者：淳庆[1] 

机构地区：[1]东南大学城市与建筑遗产保护教育部重点实验室,江苏南京210096

出　　处：《江苏大学学报（自然科学版）》2011年第3期355-358,共4页Journal of Jiangsu University：Natural Science Edition

基　　金：国家自然科学基金资助项目(51008059);中国博士后特别基金资助项目(201003543);中国博士后科学基金资助项目(20090450072)

摘　　要：采用FRANC2D软件对中心裂纹试样、单边裂纹试样和双边裂纹试样进行计算分析,比较研究了位移相关法、虚裂纹闭合法、J-积分法等3种应力强度因子的计算方法和最大周向应力准则、最大应变能释放率准则和最小应变能密度因子准则等3种裂纹扩展判据.结果表明:3种计算方法中,J-积分法和虚裂纹闭合法计算精度优于位移相关法,虚裂纹闭合法和J-积分法计算的误差总体随着裂纹扩展而减小,而位移相关法计算的误差总体是随着裂纹扩展而增大.在3种判据中,最大周向应力准则和最小应变能密度因子准则优于最大应变能释放率准则,最大应变能释放率准则计算时间和扩展角度误差要比另外2种方法大.Samples with center crack, single side crack and two sides crack were analyzed by FRANC2D to compare calculation methods for three stress intensity factors based on displacement correlation method, virtual crack closure integral method and J-integral method, and three crack propagation criterions of maximum circumferential stress, maximum strain energy and minimum strain energy density. The results show that calculation precision of J -integral method and virtual crack closure integral method are superior to displacement correlation method. Two types of calculation error of J - integral method and virtual crack closure integral method decrease with crack propagation, while that of displacement correlation method increases. Calculation velocity and precision of maximum circumferential stress criterion and minimum strain energy density criterion are prior to maximum strain energy release rate criterion. Calculation time and angle error of maximum strain energy release rate criterion is larger than that of other two criterions.

关 键 词：裂纹 应力强度因子 裂纹扩展判据 断裂力学 疲劳寿命 

分 类 号：TU391[建筑科学—结构工程]