无限大板椭圆孔的分支裂纹的边界元分析  

A boundary element analysis for cracks emanating from an elliptical hole in an infinite plate

作　　者：闫相桥[1] 

机构地区：[1]哈尔滨工业大学复合材料研究所,哈尔滨150001

出　　处：《哈尔滨工业大学学报》2007年第7期1084-1087,共4页Journal of Harbin Institute of Technology

基　　金：国家自然科学基金资助项目(10272037)

摘　　要：采用常位移不连续单元和裂尖位移不连续单元构成的边界元方法研究内部压力作用下无限大板中源于椭圆孔的分支裂纹.在该边界元方法的实施过程中,左、右裂尖位移不连续单元分别置于裂纹的左、右裂尖处,而常位移不连续单元则分布于除了裂尖位移不连续单元占据的位置之外的整个裂纹面及其他边界.结果表明,该数值方法对计算无限大板中复杂裂纹的应力强度因子是有效的,可以揭示裂纹体几何对应力强度因子的影响.An analysis of cracks emanating from an elliptical hole in an infinite plate subjected to internal pressure is made by means of a boundary element method. The boundary element method consists of the constant displacement discontinuity element and the crack tip displacement discontinuity elements. In the boundary element implementation the left or the right crack tip displacement discontinuity element is placed locally at the corresponding left or right crack tip on top of the constant displacement discontinuity elements that cover the entire crack surface and the other boundaries. The numerical results further illustrate that the numerical approach is very effective and accurate for calculating stress intensity factors of complex cracks in an infinite plate and can reveal the effect of the cracked body geometry on stress intensity factors.

关 键 词：裂纹 应力强度因子 边界元 裂尖单元 位移不连续 

分 类 号：TB12[理学—工程力学]