Abstract: A brief review on eigen-solution of two-dimension crack/notch problems (anti-plane problem, in-plane problem, Reissuer plate) is given. A detailed introduction is given of the authors' work on complete eigen-solutions, including anti-plane problem, in-plane problem, Reissuer plate and shallow shell. In this paper, complete eigen-values salution method, characteristics of multiple roots and eigen-functions calculation are described. The present results offer a significant insight into the study of crack/notc...