The plane problem of three-phase materials consisting of three isotrop
ic homogeneous wedges with arbitrary angles, which are with two interf
aces and two free surfaces, is analyzed under arbitrary normal and she
aring tractions by the theory of elasticity. An eigenequation to exami
ne the order of stress singularity at the apex in the three-phase bond
ed structure is analytically derived. In particular, this paper emphas
izes to investigate the older of singularity in the stress field at th
e 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 mat
erial 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.