有限板中圆孔边单边斜裂纹动态应力强度因子的数值计算  

NUMERICAL CALCULATION OF DYNAMIC STRESS INTENSITY FACTORS FOR A SINGLE HOLE-EDGE SLANT CRACK IN A FINITE PLATE

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,黑龙江哈尔滨150001

出　　处：《工程力学》2009年第3期9-14,共6页Engineering Mechanics

基　　金：国家自然科学基金项目(10272036)

摘　　要：采用有限元法求解了在压缩冲击载荷作用下有限板中圆孔边单边斜裂纹问题。裂尖平方根应力奇异性通过四分之一节点奇异单元来模拟,应用位移法计算了动态应力强度因子。数值结果表明:随着摩擦系数的增加,裂纹面切向相对位移减小,相应的Ⅱ型动态应力强度因子也减小;如果忽略裂纹面的接触作用,会得到负的Ⅰ型动态应力强度因子以及实际上不可能出现的裂纹面相互穿透现象将发生。裂纹面接触摩擦对Ⅱ型动态应力强度因子有很大的影响。The finite element method is used to solve the problem of a single edge slant crack emanating from a circular hole in a finite plate subjected to a compressive impact loading. The square-root stress singularity around the crack tip is simulated by quarter point singular elements. The dynamic stress intensity factors （DSIFs） are evaluated by using the displacement correlation technique. The numerical results show that with increasing friction the tangential relative displacemnts at the crack edges and dynamic stress intensity factors for mode Ⅱ decrease, and if the contact interactions between the crack surfaces is ignored, the negative DSIFs for mode Ⅰ may be obtained and a physically impossible interpenetration of the crack surfaces will occur. The frictional contact between the crack surfaces has a significant influence on DSIFs for mode Ⅱ.

关 键 词：裂纹 接触 动态应力强度因子 摩擦 有限元分析 

分 类 号：O346.1[理学—固体力学]