摘要
以位移势、应力函数为基本未知量，对理想塑性材料中准静态扩展的Ⅱ型平面应变裂纹进行了分析，推导了渐近方程，并求得数学封闭解，由数值计算得到了各分区的角度值。裂尖场分为三个区，即扇形区、弹性卸载区和均匀应力区，应变具有（ｌｎ（１／ｒ））２的奇异性。
The near tip field of mode Ⅱ crack under plane strain condition growing statically in perfectly plastic material has been analyzed by using displacement potential and stress function as unknowns,the asymptotic equations are derived and the mathematical closed soluiton is obtained.Through the numerical calculation, the angles of each sector have been given.The whole crack tip field is divided into three sectors,i.e.unloading elastic region,constant stress region and fan region.It is found that the strain possesses the singularity of (ln( 1/r )) 2.The method used in this paper is valid for analysis of cracks in the power hardening material.
出处
《铁道学报》
EI
CSCD
北大核心
1996年第6期110-115,共6页
Journal of the China Railway Society
基金
国家自然科学基金
关键词
准静态
扩展裂纹
尖端场
塑性材料
断裂力学
perfect plasticity
quasi static state
growing crack
crack tip field
