A finite element model is established for analyzing two‐layer adhesively bonded cracked plates. The element formulation is based on the Reissner‐Mindlin plate theory with an assumed variation of the transverse shear and normal stresses through the thickness of the layers. The generalized stress‐strain relationship of transverse shear stress factors and adhesive stresses to displacement of the layers is established by using a variation principle. By means of the finite element model presented herein, the cracking of adhesively bonded plates can be prevented by reasonably estimating the stress intensity factor and adhesive stresses. Numerical examples are provided to compare the stress intensity factors with those of experimental measurements found in previous research projects. This study also illustrates the effects of adhesive thickness on the stress intensity factor in the cracked layer and on the stresses in the adhesive.