Singular index at vertex in bonded body under arbitrary material combinations

Abstract

In this paper, singular indexes at the vertex and side on interface in three dimensional (3D) bonded body are computed under arbitrary material combinations by the eigen analysis based on the finite element method (FEM) and compared with those at interface end in two dimensional (2D) bonded plate. It is shown that the singular index at the side in 3D bonded body equals that at interface end in 2D bonded plate under plane strain condition and is governed by Dundurs' parameter (α, β). However, the singular index at the vertex is different from that in 2D bonded plate. A simple discriminant to judge the good, equal or bad pair is discussed.