摘要
利用复变函数方法,通过构造保角映射研究了带4k个周期裂纹的圆形孔洞的平面弹性问题,给出了裂纹尖端应力强度因子的解析解,并由此模拟了具有对称四裂纹和对称八裂纹的圆形孔洞问题,以及共点周期裂纹和十字裂纹问题.
By means of complex variable function method, this paper deals with the elastic problem about a plane of a circular hole with 4k periodic straigh ping,and the analytic solutions of the SIFs at the crack cross crack,the circular hole with four symmetry strai t cracks by using the technique of conformal maptip are obtained. The results can also simulate the ght cracks, the circular hole with eight symmetry straight cracks and the periodic straight cracks with common point.
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
2011年第4期348-352,358,共6页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(10761005)
内蒙古自然科学基金资助项目(2009MS0102)
关键词
带周期裂纹的圆形孔洞
共点周期裂纹
应力强度因子
复变方法
保角映射
circular hole with periodic straight cracks
periodic straight cracks with common point
SIFs
complex variable method
conformal mapping
