Solution of Thermal Stresses near Apex in Dissimilar Materials by Thermoelastic Theory

Abstract

The characteristic of a singularity of the stress field near the apex in a bonded structure under surface traction has been theoretically clarified by Bogy and has so far been studied in detail by many investigators. The singularity of thermal stresses near the apex in a bonded structure under thermal load has been numerically examined, although it has not yet been examined theoretically. In this paper, the equations for thermal stresses near the apex in a three-phase bonded structure formed from three isotropic homogeneous wedges with arbitrary angles are deduced through thermoelastic theory. Moreover, a relevant parameter for thermal stresses in dissimilar materials is newly introduced. Then, the relationship between thermal stresses and elastic constants is shown, and the relationship between those stresses and coefficients of thermal expansion is studied in detail.