垂直位于一类双材料界面的裂纹对称变形尖端场

Asymptotic fields for crack normal to and terminating at a bi-material interface under symmetric deformation

基于平面问题中各向同性与正交各向异性材料奇异点附近渐近场的基本解,文章给出了对称变形条件下端部位于正交异性/各向同性双材料界面的垂直裂纹裂尖应力奇异性的特征方程以及相应的位移场与奇异应力场的解析解。为了验证解析解的正确性,通过1个算例将应力奇异性指数和奇异应力分量角函数的理论值与有限元分析结果进行了对比,两者吻合得相当好。

Based on the fundamental solution of asymptotic fields near a singular point in two-dimen- sional isotropic and orthotropic elastic materials in plane problem, this paper presents the eigenequation and the analytical solutions of the displacement and singular stress fields for the crack normal to and terminating at an orthotropic/isotropic hi-material interface under symmetrical deforma- tion. To verify the correctness of the theoretical solutions, an example is introduced to compare the stress singularity order and angular functions of singular stress components between the analytical val- ues and the FEM results, which turns out to coincide very well with each other.