Abstract: Total field expressions of stress and displacement components in a finite monolithic plate with double linear hole edge crack are derived by means of method of functions of complex variables, and all of the basic equations, boundary conditions of crack surfaces and single-valued condition of displacements about multi-connected region are satisfied exactly. The stress intensity factors are solved by means of variational method to satisfy the other boundary conditions. In the variational equations there are only line integrals and no area integrals. The convergency is very rapid and the method is time-saving. Then, systematical results are presented by curves of nondimensional stress intensity factor versus nondimensional crack lengths with nondimensional hole radii and aspect ratios as parameters. Finally, the analytical-variational method is extended to the case without cracks, the convergency is nice also and systematical results are provided by-curves of stress concentration factors versus nondimensional hole radii with aspect ratios as parameters.

Key words: Hole-edge crack, Recurrence formula of displacement, Single-valued condition of displacement, Variational method