Deriving the dynamic stress function using complex function and its application to the analysis of the stress distribution around an elliptical hole

In the engineering field, analyzing the stress distribution of an elastic body to which an impact force is applied at its boundary is one of the most interesting problems. However, owing to the absence of a useful and easy method of analyzing the stress distribution of an arbitrarily shaped body, it is difficult to grasp the strength of an elastic body. Therefore, we first devise an easy and useful method employing the complex stress function and then analyze the stress distribution of a body that has an elliptical hole.