摘要
利用复变函数的方法,通过构造保角映射研究了带2k个周期径向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.并由此模拟出了十字裂纹,米字裂纹,带单裂纹、对称双裂纹、对称四裂纹、对称八裂纹的圆形孔洞,共点周期裂纹问题.
By means of complex variable function method and the conformal mapping techmique,problems of an infinite plane including a circular hole with 2^k periodic radial straight cracks are investigated and the analytic solutions of the stress intensity factors at the crack tip are obtained. The presented results in the paper can also produce the stress intensity factors for a few cracks with complicated configurations, for example a cross crack,an eight symmetry straight cracks,a circular hole with a straight crack,a circular hole with two symmetry straight cracks,a circular hole with four symmetry straight cracks,a circular hole with eight symmetry straight cracks, periodic straight cracks and so on.
出处
《固体力学学报》
CAS
CSCD
北大核心
2008年第4期412-419,共8页
Chinese Journal of Solid Mechanics
基金
国家自然科学基金项目(10761005)
内蒙古自然科学基金项目(200607010104)资肋
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,stress intensity factors,complex variable function method,conformal mapping
