Analysis of intensity of singular stress field for bonded cylinder in comparison with bonded plate

Abstract

In this paper, an intensity of singular stress field for a bonded cylinder is compared with the one for a bonded plate, which was obtained in the previous studies accurately. The analytical method focuses on the stress values at the interface corner edge obtained by performing FE analyses on the unknown and reference models which are subdivided by the same mesh pattern. It is found that this analytical method which is useful for analyzing the bonded plate cannot be directly applied to the bonded cylinder because the strain in the circumferential direction causes non-singular stress component affecting singular stress evaluation. In order to eliminate the non-singular terms, they are expressed explicitly from the interfacial continuity conditions and the stress-free boundary conditions at the interface corner edge. Since the intensity of singular stress field for the bonded cylinder cannot be controlled by Dundurs' parameter uniquely, the maximum and minimum values of the intensities of singular stress field are shown in the table and the chart according to Dundurs' parameter. There are cases where the intensity of singular stress field for the bonded cylinder is one and a half times as large as that for the bonded plate even if the practical materials are combined.

Keywords

• bi-materials
• interface
• finite element method
• intensity of singular stress field
• bonded cylinder
• bonded plate