Stress singularity for a corner of a T-shaped junction with anti-plane deformation considered

In this paper the stress singularity at the corner of a T-shaped junction is studied by eigenfunction expansion method. In the eigenfunction expansion method, the stresses in each plate are approximated by a plane stress state, and the antiplane deformation is also taken into account. The eigenequation for the asymptotic behavior of stresses around the corner tip is given in an explicit form for the case of γ=180°. It is different from the analysis in which the antiplane deformation isn't taken into account that the eigenvalue is a complex with real part equating 0.5. The obtained results are verified by numerical results of the finite element method.