摘要
采用复变函数方法,研究了在法向均布荷载作用下,含两个不等边裂纹椭圆孔的无限大板平面问题,得到了裂纹尖端的应力强度因子的解析解.并通过有限元软件计算了应力强度因子的数值解,与解析解进行对比,吻合较好.另外,研究了随着裂纹和椭圆孔尺寸变化时应力强度因子的变化规律.可以看出应力强度因子随椭圆孔的长短半轴之比和裂纹长度的增大而增大.
By means of the complex variable function method,the plane problem of an infinite plate with an elliptical hole with two unequal cracks under normal load is studied,and the analytical solution of the stress intensity factor at the crack tip is obtained.The numerical solutions from the finite element simulation agree well with the analytic solutions.In addition,the variation of the stress intensity factor with the change of crack and elliptical hole size was studied.It can be seen that the stress intensity factor increases as the ratio of the long and short half axes of the elliptical hole and the length of crack increase.
作者
段思阳
刘淑红
吴帅
DUAN Si-yang;LIU Shu-hong;WU Shuai(Department of Engineering Mechanics,Shijiazhuang Tiedao University,Shijiazhuang 050043,China)
出处
《数学的实践与认识》
北大核心
2019年第18期127-131,共5页
Mathematics in Practice and Theory
基金
河北省自然科学基金(A2015210089)
石家庄铁道大学研究生创新资助项目(YC2018015)
关键词
复变函数法
应力强度因子
不等边椭圆孔边裂纹
解析解
数值解
complex variable function method
stress intensity factor
elliptical hole with unequal cracks
analytical solution
numerical solution
