正交异性双材料反平面界面端应力场分析

Stress Field Analysis on Anti-Plane Orthotropic Bi-Materials of Interface End

研究了正交异性双材料反平面平板搭接界面端问题.采用复合材料断裂复变方法,构造了特殊应力函数,通过求解一类广义重调和方程组的边值问题,推导出平板搭接界面端的应力场、位移场及应力强度因子的表达式.结果显示:反平面搭接界面端只有一个奇异性,上下材料常数比Γ>0时,应力场具有幂次奇异性,且随着Γ增长,奇异指数趋于-1/2,并利用有限元算例分析验证了理论结果的正确性.

Orthotropic bi-materials anti-plane interface end of flat lap was studied by constructing new stress function and using composite complex function method of material fracture. The expression of stress fields, displacements fields and stress intensity factor around fiat lap interface end, axe derived by solving a class of generalized bi-harmonic equations. The result shows： this type of problems has one singularity, the stress fields has no singularity when two materials constant ratio Г 〉 0, the stress field has power singularity, and singularity index trends to - 1/2 as Г increases. FEM analysis was done to verify correction of the derived equation.