#### Vol. 2, No. 1, 2007

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Boundary element analysis of the stress field at the singularity lines in three-dimensional bonded joints under thermal loading

### Monchai Prukvilailert and Hideo Koguchi

Vol. 2 (2007), No. 1, 149–166
##### Abstract

The stress distribution near a point on the stress singularity line of dissimilar materials in three-dimensional joints under thermal loading are investigated using BEM based on Rongved’s fundamental solutions. Stress distributions for the material combinations in the singularity region, in the no singularity region, and in the boundary between them on the Dundurs composite plane are investigated. The influences of thermal expansion coefficients, loading conditions and dimensions on the stress distribution in three-dimensional joints composed of two blocks are examined. The stress intensity factors in three-dimensional joints under a uniform change in temperature are proportional to the temperature variation, $\Delta T$, and depend on the difference in the thermal expansion coefficients. Furthermore, the level of the stress distributions around the stress singularity lines also increases significantly as the length of one side in the parallel cross section to the interface decreases.

##### Keywords
thermoelasticity, thermal stress, logarithmic singularity, stress singularity, three-dimensional joints, dissimilar materials, BEM