复合裂纹的应力强度因子有限元分析  

Finite element analysis of stress intensity factor in composite mode crack

作　　者：徐慧[1] 伍晓赞[1] 程仕平[2] 李燕峰[1] 龙朝辉[3] 邓超生[1] 

机构地区：[1]中南大学物理科学与技术学院,湖南长沙410083 [2]中南大学材料科学与工程学院,湖南长沙410083 [3]湖南师范大学物理与信息科学学院,湖南长沙410081

出　　处：《中南大学学报（自然科学版）》2007年第1期79-83,共5页Journal of Central South University:Science and Technology

基　　金：教育部高等学校博士点专项科研基金资助项目(20020533001)

摘　　要：讨论裂纹尖端的应力应变与应力强度因子的关系,建立计算复合型裂纹应力强度因子的有限元方法,应用有限元分析软件ANSYS计算Ⅰ型裂纹和Ⅱ型裂纹的应力强度因子以及裂纹尺寸和载荷对应力强度因子的影响。研究结果表明:ANSYS解与解析解很接近,误差很小,验证了复合裂应力强度因子计算方法的有效性;ANSYS解在裂纹较大和较小时误差相对较大,这主要与划分网格的精度有关,裂纹较大时网格不够密,裂纹较小时网格产生变形的影响,可以通过增加网格精度来减小计算误差。The releationship between stress and stress intensity factor （ SIF ） was studied. Using the software ANSYS, the method of calculating SIF of composite mode cracks was set up. At the same time, the SIF of mode Ⅰ and Ⅱ crack was calculated and the influence of crack size and loading on the SIF was studied. The results show that the results of ANSYS is almost equal to analytical results, which proves that the method is feasible. When the crack is very big or very small, the result of ANSYS＇ error is comparatively obvious, which is due to the problem of the precision of gridding. When the crack is too big, the dense of gridding is inadequate; when the crack is too small, the cell of gridding will produce distortion. The error can be decreased by increasing the precision of gridding.

关 键 词：复合型裂纹 有限元法 ANSYS软件 应力强度因子 

分 类 号：O346.1[理学—固体力学] O242.21[理学—力学]