General solution of stresses due to an adhesion crack for T-shaped junction of two plates

In this study, the general solution of stresses is derived for a T-shaped junction consisting of two thin plates with an adhesion crack. A shear force is applied to the crack surface. The analysis is based on the supposition that the stresses in each plate can be approximated by the plane stress condition. The results obtained are verified by a numerical calculation based on the finite element method. Moreover, a singular stress field is obtained from the solution for the vicinity of the crack.