1999 年 42 巻 1 号 p. 80-89
In the present paper, the order of stress singularity at the corner where four free surfaces and interfaces in three-dimensional joints meets is investigated by solving an eigenequation derived from a finite element formulation. The order of stress singularity for three typical joints, referred to as the 1/8 - 1/8, 1/8 - 1/4 and 1/8 - 1/2 joints, between two rectangular blocks with different properties is investigated and compared with that of two-dimensional joints with the same cross section as that of the three-dimensional joints. Dundurs' composite parameters, α3D and β3D for three-dimensional joints are newly introduced and the order of stress singularity plotted on ordinal Dundurs' parameters, the α and β plane, is rearranged on the α3D - β3D plane. The order of stress singularity at the vertex in the three-dimensional joints is larger than that in the two-dimensional ones, although, the boundary at which the stress singularity vanishes varies little on the α3D - β3D plane. Furthermore, it is shown that the order of stress singularity at a vertex, where some singular lines with different orders meet, varies with the combination of material properties.
JSME international journal. Ser. 1, Solid mechanics, strength of materials
JSME international journal. Ser. A, Mechanics and material engineering
JSME international journal. Ser. 3, Vibration, control engineering, engineering for industry
JSME international journal. Ser. C, Dynamics, control, robotics, design and manufacturing