含中心裂纹正交各向异性有限大板的反平面剪切问题

THE FRACTURE PROBLEM OF A FINITE ORTHOTROPIC PLATE WITH A CENTRAL CRACK UNDER ANTI-PLANE SHEAR

本文采用边界配置方法计算了含中心裂纹正交各向异性有限大板问题的应力强度因子。在其特例——材料各向同性情形,本文结果与[2]采用Fourier变换方法所得结果一致;同时,本文给出了不同材料参数和裂纹长度情形的计算结果。

The fracture problem of a finite orthotropic plate with a central crack under anti-plane shear is considered. To obtain the stress intensity factors (SIF), the boundary collocation method is used. To check the obtained result of this paper, comparison has been made with Ref, [2] in the case when the material is isotropie and it is shown that both agree very well. In Ref. [2], Fourier transform and Fourier series method were used.The method of this paper has the further advantage that it may be used in the general cases with arbitrary loading conditions, complicated geometrical shapes and material properties.