各向同性与正交异性材料Ⅲ型界面端应力场

摘要

The asymmetric interface end for Mode Ⅲ of isotropic and orthotropic bi-material was studied.Based on arbitrary angle boundary conditions,the root of the characteristic equation with the help of a complex function method was discussed by solving a class of harmonic equations.The expressions and variation of the singularity index are obtained,the stress and displacements field and the stress intensity factor of the asymmetric interface end near the crack tip are derived.The results show that for asymmetric convex interface end,the interface end has no singularity;for asymmetric concave interface end,it has one singularity which is power singularity.The variation of singularity index of oblique-plane-angled interface end is derived.%研究了各向同性与正交异性双材料Ⅲ型非对称界面端问题。利用复合材料断裂复变方法,根据任意角度的界面连续条件,求解一类调和方程组的边值问题,讨论了非对称情况下含奇异指数的特征方程,得到了Ⅲ型非对称凸角、凹角界面端的应力场、位移场、应力强度因子的表达式,以及斜平面角界面端应力场奇异性的变化规律。