Stress singularities near the tip of a two-dimensional notch formed from several elastic anisotropic materials

摘要

In this paper, we studied the stress singularities near the tip of a two-dimension notch, which could be a crack tip, formed from several elastic materials, each of them may be generally anisotropic. By introducing the dual variables in the state space, the basic equations governing the posed problem equations were established. We also proposed a numerical method to solve the governing equations. It was shown that the mathematical formulations advanced are quite simple and the numerical method proposed is easy and highly accurate. Finally, a few examples of problems in this topic were solved and presented in order to demonstrate the accuracy and the potential possibilities of applications of the present method.