摘要
利用复变函数方法,通过构造保角映射,分析了不对称椭圆孔边裂纹问题,给出了裂纹尖端I型与II型问题应力强度因子的解析解.并由此模拟出了经典的Griffith裂纹、不对称十字裂纹,T型裂纹问题,所得结果与经典结果完全一致。这些解在科学及工程断裂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 asymmetry edge cracks was solved and the solution of stress intensity factor for mode Ⅰ-Ⅱ was obtained.Under the condition of limitation,many new results can be obtained as well,including Griffith crack,a circular hole with asymmetry edge-crack,asymmetry cross crack,＂T-shaped＂ edge crack.Present results show a good agreement with the results of classical elasticity.These solutions are with great potential in science engineering applications.
出处
《力学季刊》
CSCD
北大核心
2011年第3期444-451,共8页
Chinese Quarterly of Mechanics
基金
内蒙古教育厅科学基金项目(NJ10164)
国家自然科学基金项目(10761005)
关键词
保角映射
不对称椭圆孔边裂纹
十字裂纹
T型裂纹
复变函数法
应力强度因子
comformal mapping
elliptic hole with asymmetry edge crack
cross crack
＂T-shaped＂ crack
complex variable function method
stress intensity factor
