Stress Singularity in Three-Phase Bonded Structure

Abstract

The plane problem of three-phase materials consisting of three isotropic homogeneous wedges with arbitrary angles, which are with two interfaces and two free surfaces, is analyzed under arbitrary normal and shearing tractions by the theory of elasticity. An eigenequation to examine the order of stress singularity at the apex in the three-phase bonded structure is analytically derived. In particular, this paper emphasizes to investigate the order of singularity in the stress field at the apex when materials of both side regions against intermediate region in three regions are identical. For several bonded wedge geometries, it is demonstrated how the order of stress singularity varies with material pairs. Finally, it is shown that the bonding order of materials also influences on the order of stress singularity in the three-phase bonded structure.