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In the Scaled Boundary Finite Element Method (abbr. SBFEM), the analytical advantage of the solution in the radial direction allows stress intensity factors (SIFs) to be determined directly from its definition. Therefore no special crack-tip treatment is necessary. In addition, the stiffness of infinite domain can be solved analytically. In present paper, the asymptotic fields of the crack tip of the infinite plate subjected to the different loadings are computed based on the SBFEM combining the sub-structuring technique (or super-element) , extracting the SIFs, some of higher order terms. The essential calculating formula of SBFEM is derived. The numerical results are compared with those in the literature, and the results show that SBFEM can evaluate the asymptotic fields of the crack tip with higher efficiency and accuracy. In addition, some of the higher order terms may provide evidence for the further research on the fracture characteristics of the mass concrete materials and structures.

stress intensity factors, the scaled boundary finite element method, high order singular terms, infinite plate,