一种确定结合材料界面端应力强度因子的数值方法

A numerical method for determining stress intensity factors at the interface edge of bonded materials

基于弹性力学平面问题的基本方程,给出了结合材料界面端的应力奇异性特征方程以及位移场和奇异应力场。提出了一种确定结合材料界面端应力强度因子的数值外插方法。对界面端区域进行了有限元网格单元划分。经过具体实例检验进一步确定了求解应力强度因子的最佳方向,该数值外插法的计算结果精度符合工程应用的要求,为工程材料强度的评价提供了有效的计算途径。

Based on the basic equations of the elasticity plane problem, a stress singularity eigenequation together with displacement fields and singular stress fields around the interface edge of bonded materials is given. A numerical approach combining with the finite element method, applied to determine stress intensity factors at the interface edge of bonded materials is proposed. The finite mesh elements near the interface edge region are carefully divided. Finally, a simple example is used to illustr-ate the validity of the numerical method, which accordingly solves the best direction of stress intensity factors. In addition, the precision of the extrapolation method meets the needs of engineering requirements. Hence the approach presented here provides an effective way for appraising intensities of engineering materials.