Logarithmic Singularity on Thermal or Residual Stress at the Interface Edge Point of Bonded Dissimilar Materials.

Abstract

It is well known that the stresses become singular at the edge point of the interface between dissimilar materials. The singularity has been reported by Bogy for the isothermal elastostatic case with stress free edges and also with the edge subjected to surface tractions. However the singularity for the thermal stress or the bonding residual stress has not yet been clarified. In this study, we fouud that the logarithmic singularity appears in the thermal or residual stresses at the edge of the interface similar to the isothermal problems subjected to discontinuous surface tractions at the edge point. By the boundary element analysis of residual stress for various combinations of dissimilar materials, it is verified that the logarithmic singularity exists for any combination of materials.