基于应力比值法的V形切口应力强度因子分析

Stress Intensity Factor Analysis of V-notches based on A Stress Ratio Method

本文基于有限元分析技术建立了一种应力比值方法,用于计算V形切口的应力强度因子。该方法不需要在V形切口尖端采用反映应力奇异性的奇异单元。求解时,首先给定参考问题的广义应力强度因子,然后利用待求问题的应力值与参考问题的应力值之间的比值来求解待求问题的广义应力强度因子。算例采用切口尖端应力方法分析了平板的V形切口问题。计算结果表明,该方法计算精度较高,能够方便地用于求解相关的工程问题。

A finite element method（FEM） called as stress ratio method was developed to solve generalized stress intensity factors of V-notches.The method doesn＇t need special elements accounting for the analytical form of a singularity.The stress values at the notch tip calculated by FEM were used and the stress intensity factors of sharp angular corners were evaluated from the ratio of stress values between a given problem and a reference one.As application the NTSM was used to solve GSIFs of V-notches in 2D plates.All numerical examples prove that the present method is effective to deal with sharp angular notch problems.