各向异性板界面裂纹奇异性分析

SINGULARTY ANALYSIS OF INTERFACE CRACK BETWEEN DISSIMILAR ANISOTROPIC MATERIALS

本文运用列赫尼茨基的各向异性板理论,分析了裂纹位于两种不同的各向异性材料界面的情况。在分析中选用了复变函数幂级数作为复应力函数。根据由边界条件与交界条件决定的线性齐次方程组求得特征方程及决定应力奇异性特征值,因而求得含界面裂纹的各向异性板的应力场与位移场。本文最后给出了奇异性计算的数字算例。

In this paper, the singularity of interface crack between dissimilar anisotropic mate" rials is analyzed by means of the theory of Lekhnitskii, The complex power functions are se-lected as the complex stress functions. According to the boundary conditions and conditions of continualy, a set of linear homogeneous algebraic simultaneous equations is found. From the non-trivial condition of the above equations, the eigenvalues can be obtained Then the stress singularities may be determined. Furthermore, the expressions of stresses and displacements are presented. Numerical examples about the determination of eigenvalues are tabulated in the present paper. It is shown that the eigen values are complex numbers which depend upon the material constants of the two dissimilar media.