椭圆孔边动态裂纹快速传播问题的分析解  

Analytic solution of an propagating elliptic hole with an dynamic edge crack

作　　者：郭怀民[1] 赵志云[1] 

机构地区：[1]包头师范学院数学科学学院,包头014030

出　　处：《黑龙江大学自然科学学报》2010年第4期473-477,共5页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(10761005);内蒙古教育厅科研基金资助项目(NJ10164);包头师范学院科学基金资助项目(BSY200812017)

摘　　要：利用复变函数方法,通过构造保角映射,分析了椭圆孔边裂纹问题,给出了裂纹以速度v传播时的Ⅰ-Ⅱ型应力强度因子的动力学解。当v→0时动力学解还原为已有的静力学解,在极限情形下,还可以还原为圆形孔边裂纹,T型裂纹问题的动态应力强度因子。这些解在工程断裂研究中有着潜在的应用价值。By means of the complex variable function method and using the technique of conformal mapping,the problem about an elliptic hole with a dynamic edge crack is solved and the solution of the dynamic stress intensity factor（SIFs） for mode Ⅰ-Ⅱ is obtained.When the crack velocity v→0,the dynamic solution can reduce to the static solution.Under the condition of limitation,many new results can be obtained as well,including a circular hole with dynamic edge-crack,＂T-shaped＂ dynamic edge crack.These solutions are with great potential in science engineering applications.

关 键 词：保角映射 椭圆孔边动态裂纹 T型裂纹 复变函数法 应力强度因子 

分 类 号：O346.1[理学—固体力学]