Based on the sixth order Reissner plate theory, the generalized displacemen
t functions for a cracked plate are derived by eigenfunction expansion meth
od. The fractal two-level finite element method is employed to obtain the s
tress (moment and shear) intensity factors for the center cracked plate sub
jected to out-of-plane bending and twisting loads. The numerical results fr
om the present method are checked with those available in literature. Highl
y accurate stress intensity factors are predicted for a wide range of thick
ness to crack length ratio and a full range of Poisson AEs ratio provided t
hat the radius of fractal mesh to thickness ratio is not less than 1/10.