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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。
Based on the interface theory, a singular stress field equation near the corner point of the interface formed by two kinds of flexible materials is established. According to the interface continuous condition and the free boundary condition, the eigenvalue λ associated with the singular stress field is obtained Through the solution and formula derivation of the system of equations, the singular stress field and displacement field containing the stress intensity coefficient around the corner of the flexible joint are given. Based on the range of the eigenvalue λ, Flexible joints with stress-singularity disappear Elastic parts, reinforcements Material matching and geometric corner selection. The common working conditions of flexible joints were selected. The analytical solution of the singular stress field near the corner and the finite element calculation were respectively carried out to verify the correctness of the analytical solution.