Thermal Stresses and Their Singularities due to Temperature Discontinuity on the Interface of Dissimilar Materials

Abstract

A thermal stress problem of a coated half-space due to a temperature discontinuity on the interface is solved exactly using the two-dimensional thermoelastic theory. Stress singularities at the point of discontinuity of temperature are obtained in closed form. The results show that the normal stresses have jumps of the inverse tangent type and the shear stress has singularity of the logarithmic type. From the comparison with the singularities of the corresponding problem of a point heat source at the interface, the important result is obtained that the types of singularities for the two problems are different but the intensities are the same. In other words, the types of singularities depend on the type of loading but their intensities depend only on the combinations of materials and do not depend on the type of thermal loading.