柔性接头界面端角点应力奇异性

Stress singularity of flexible joint in combined material interface corner

基于界面理论,建立了柔性接头增强件、弹性件两种结合材料形成的界面端角点附近奇异应力场方程,依据界面连续条件和自由边界条件,得到了与奇异应力场关联的特征值λ的线性齐次方程组,通过该方程组的求解和公式推导,给出了柔性接头界面端角点附近含应力强度系数的奇异应力场和位移场;并根据特征值λ的取值范围,获得了应力奇异性消失的柔性接头弹性件、增强件材料匹配和几何形状角选择。选取柔性接头常见工况,分别进行了角点附近奇异应力场解析解计算和有限元计算,验证了解析解的正确性。

On basis of the mechanics of interface,singular stress field of interface corner created by reinforcement and elastomer of flexible joint was established.According to interface continuous condition and free boundary condition,the linear equation group of characteristic value λ which is related to the singular stress field was obtained.Then,singular stress field and displacement field which include stress intensity coefficient in interface corner of flexible joint were found through solving equation group and deducing formula.At the same time,based on the range of λ value,the selection of reinforcement and elastomer as well as geometrical angle with the stress singularity disappearing were presented.The results of singular stress field gained from calculation and finite element method verify the correctness of the analytical solution in this report.