Asymptotic description of the logarithmic singular stress field and its application (Q1286215)

The type of \(\ln(r)\) stress singularity for a joint between two dissimilar materials under thermal loading is treated by the Mellin transform method. Emphasis is placed on the asymptotic description of the stress distribution near the singular point. The angular functions used to describe the stresses are given in a general form, which are different from those for the same joint under edge tractions. For a quarter-plane joint angular functions are given in an explicit form. Finally, examples are presented to show when the asymptotic solution can be used for practicallly relevant joints.