奇异项上叠加矩形有限元解计算应力强度因子

Application of Superposition of Singular Solutions and Finite Element Solutions to Solve Stress Intensity Factor

本文用奇异项上叠加矩形有限元解的方法求解了二维中心Ⅰ型裂纹体的应力强度因子K_1.文中利用了奇异解的一般分析结果,同时充分利用有限元法进行数值计算的优点,为能反映单元内应力的变化,采用了矩形单元,求得了应力强度因子K_1的显式表示。

This paper presents a new calculation of stress intensity factor for mode I fracture in 2-D deformation state, in which finite element solutions are superposed on the singular solutions,and rectangular element is taken in the finite element method. In this paper, explicit expressions for calculating the above stress intensity factor are given.