Analysis of singular stresses at a vertex and along a singular line in three-dimensional bonded joints using a conservative integral

作者：Luangarpa Chonlada^*; Koguchi Hideo^*

来源：European Journal of Mechanics - A: Solids , 2016, 60: 208-216.

DOI：10.1016/j.euromechsol.2016.08.002

• Three-dimensional joints
• Stress singularity
• Conservative integral
• Intensity of singularity
• Betti reciprocal theorem

In the present study, singular stress fields in three-dimensional dissimilar material joints are investigated at a vertex and along a free edge (a singular line) of an interface. A conservative integral based on Beta's reciprocal principle is used to calculate the intensities of the singularities in three-dimensional dissimilar material joints. Two geometries in which the angle between the side surface of the vertex equals 60 and 90 and a range of material combinations are used to investigate the characteristics of the stress singularity. The relationships between the angular functions of the stresses at the vertex and along the singular line are studied. The intensities of the singularities at several positions along the singular line of the interface are determined. Then, the relationship between the intensity of the singularity at the vertex and that at a point located on the singular line is investigated. Finally, the intensities of the singularities along the singular line can be described as a function of the distance from the vertex and the singular stress at the vertex.

• 出版日期2016-12