双材料悬臂梁孔边界面裂纹应力强度因子计算  

Calculation of stress intensity factors for interface crack emanating from hole in bimaterial cantilever beam

作　　者：王立清[1] 盖秉政[1] 

机构地区：[1]哈尔滨工业大学航天科学与力学系,哈尔滨150001

出　　处：《哈尔滨商业大学学报（自然科学版）》2008年第5期568-571,共4页Journal of Harbin University of Commerce：Natural Sciences Edition

基　　金：国家自然科学基金项目(10272036)

摘　　要：采用有限元方法求解了在压缩载荷作用下双材料悬臂梁孔边界面裂纹问题.在界面裂纹尖端的周围,使用了由8节点二维等参单元退化而产生的四分之一节点奇异单元来模拟裂尖应力的奇异性.在有限元分析中,考虑了裂纹面的接触作用.应用最小二乘法计算了Ⅱ型应力强度因子.数值结果表明:孔的尺寸对Ⅱ型应力强度因子和裂纹面接触压力有很大的影响;随着摩擦系数的增大,Ⅱ型应力强度因子减少.忽略裂纹面的摩擦作用,Ⅱ型应力强度因子可能被高估.The finite element method is used to solve the problem of an interface crack emanating from a hole in a himaterial cantilever beam subjected to a uniform compressive load. The strain singularity around the interface crack tip is simulated using quarter point sigular elements collapsed by 8 -node two -dimensional isoparametric elements. The contact interaction between crack sufaces is considered in the finite element analysis. The mode Ⅱ stress intensity factors（SIFs） are evaluated using the least square method. The numerical results indicate that the hole size has a significant influence on the SIFs for mode Ⅱ and the contact pressures of the crack surfaces, and that with increasing friction, the SIFs for mode Ⅱ decrease. If the friction between crack surfaces is ignored, the mode Ⅱ SIFs may be overestimated.

关 键 词：界面裂纹 接触 摩擦 应力强度因子 有限元方法 

分 类 号：O346.1[理学—固体力学]