Abstract: In this paper, a complex variable method is used to derive the expressions of stress and displacement field of a finite plate containing a single holeedge crack. In the derivation of solution, the equations of equilibrium and compatibility, the traction free condition on crack surfaces and the single valued condition of displacement are satisfied. The coefficients of series are determined by principle of minimum potential energy. In the variational equation, there is only line integral. The results converge to the correct values rapidly.

Key words: hole-edge crack, single valued condition of displace-ment, variable method