摘要
利用复变方法,通过构造保角映射,研究了圆孔带单裂纹且只在孔边受到均匀压力而裂纹面上不受力的部分边界受力的平面弹性问题,得到了复应力函数的精确表达式,并给出了应力场的解析表示,求得在裂纹尖端的应力强度因子的解析解.在极限情形下,还可以还原为圆孔带单裂纹孔边及裂纹上均受到均匀压力的已有结果.
By means of a complex variable function method and constructing a conformal mapping,plane elasticity problem of pressure on the part of bounary that uniform pressure only acts on the edge of a circular hole with a single crack but not on the surface is studied.The analyic solution of complex stress functions is obtained,the analytic expressions of the stress field are given,and the analytic solutions of the stress intensity factors at the crack tip are determined.In the situation of limit,it can revert to the existing results,which uniform pressure acts on both the edge of a circular hole with a single crack and the surface of the crack.
出处
《内蒙古大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第3期276-283,共8页
Journal of Inner Mongolia University：Natural Science Edition
基金
国家自然科学基金资助项目(10761005)
关键词
带单裂纹圆形孔口
部分边界受力
应力强度因子
保角映射
解析解
a circular hole with a crack
pressure on the part of boundary
stress intensity factor
conformal mapping
analytic solution
