摘要
将V形切口结构分成围绕切口尖端的小扇形和剩余结构两部分.尖端处扇形域应力场表示成关于尖端距离ρ的渐近级数展开式,从线弹性理论方程推导出了一组分析平面V形切口奇异性的常微分方程特征值问题,通过求解特征方程,得到前若干个奇性指数和相应的特征向量.再将切口尖端的位移和应力表示为有限个奇性阶和特征向量的组合.然后用边界元法分析挖去小扇形后的剩余结构.将位移和应力的线性组合与边界积分方程联立,求解获得切口根部区域的应力场、应力幅值系数和整体结构的位移和应力.从而准确计算出平面V形切口的奇异应力场和应力强度因子.
In this paper a new way is proposed to determine the generalized stress intensity factors of the plane V-notch structures by boundary element method.Firstly,a small sector around the V-notch tip is dug out from the V-notch structure.Based on the assumption of an asymptotic stress field in the V-notch tip region,evaluation of stress singularities of the sector zone are transformed into an eigenvalue problem of the ordinary differential equations.Then the solutions of the eigenvalue problem provide the singul...
出处
《力学学报》
EI
CSCD
北大核心
2008年第6期849-857,共9页
Chinese Journal of Theoretical and Applied Mechanics
基金
教育部博士点基金(20050359009)
安徽省自然科学基金(050440503)资助项目~~
关键词
线弹性
V形切口
奇性指数
应力强度因子
边界元法
linear elasticity
V-notch
singularity orders
stress intensity factor
boundary element method
